SNEED, Circuit Judge:
This opinion springs from controversies possible only in a highly specialized, vertically integrated industry, heavily dependent on relatively low skilled agricultural workers, whom a strong international union seeks to organize, and in which each major party is more than amply represented by members of the legal profession. The opinion thus reflects both the soil of California and the intense competitiveness of its people.
This case involves three defendants and three separate but related appeals. The appeals derive from Security Farms’ and other agricultural growers’ (“Growers”)1 request [1005]*1005for damages for losses suffered by Growers in 1989 during a strike by General Teamsters, Warehousemen and Helpers Union, Local 890 (“Local 890”), against Bud Antle, Inc. (“Bud Antle”), a contractor of labor harvesting crops in California. Growers also seek to recover damages from the Local’s parent union, the International Brotherhood of Teamsters (“the International”), and an intermediate union within the International’s structure, Joint Council No.> 7 0‘the Joint Council”).
I.
BACKGROUND AND PROCEDURAL HISTORY
Bud Antle is a vertically integrated company which harvests, packs, markets, and ships California produce. It gets its produce from various growers throughout California, who own the land and grow the crop. To harvest and pack the growers’ crops, Bud Antle is dependent on thousands of laborers represented by Local 890.
Prior to the strike, Local 890 found itself in financial disarray. The Local’s internal problems undermined its ability to administer and enforce its collective bargaining agreements. Its failures regarding the Bud Antle agreement inspired some Local 890 members to file a petition to decertify the union. This petition, the threat of others like it, and the fact that Local 890 was in arrears on regular payments due the International spurred the parent union to action. It considered but rejected placing Local 890 in trusteeship. Instead, in May 1989, the International’s General President appointed Alejandro Ybarrolaza to oversee the Local in its daily functions, particularly its financial affairs.2 Ybarrolaza had complete access to the Local’s financial records. Moreover, he took a lead role in the representation of Union members and the negotiation of Local 890’s collective bargaining agreements.
In the summer of 1989, Ybarrolaza participated in lengthy unsuccessful negotiations with Bud Antle. Toward the end of the 1989 summer, the employees represented by Local 890 voted down Bud Antle’s final proposal for a new collective bargaining agreement. On September 11,. 1989, the Joint' Council granted Local 890’s request for strike sanctions and on October 26, 1989 the strike commenced. Although Growers were not a party to the collective bargaining agreement, Local 890 members picketed Growers’ fields.
A The Strike
More than two thousand workers participated in the strike against Bud Antle. Local 890 established a chain of command whereby picket captains acted as liaisons between the picketers and Local 890’s business agents. Picket captains lacked the authority to designate strike locations without the approval of a business agent, but were responsible for implementing the latter’s instructions regarding strike activity. ,
On October 26, 1989, Bud Antle’s union employees left the fields where they were harvesting and reported to Bud Antle’s offices and cooler facilities — strike areas previously designated by Local 890 officials. Initially, Local 890 officials thought that field picketing would be unnecessary and Ybarro-laza advised them against it. Moreover, in the early stages of the strike, the business agents instructed both picket captains and picketers to strike peacefully, without violence, and to not “do anything that would create any problems.” However, Growers provided testimony and documentary evidence at trial which, despite the Union’s early intentions, portrayed a violent strike not only tolerated but at times inspired by Local 890 officials.
Frank Gallegos, President of Local 890, was arrested by state police for impeding the entrance to a Bud Antle facility in Salinas and for resisting arrest. Arrests of other union officials followed. Teresa Escamilla, a picket captain, rushed into the fields owned by Growers, a technique used to intimidate replacement workers, and was arrested.
[1006]*1006Arturo Castro, a business agent, conceded that field picketing occurred but maintained that he did not authorize it. However, a fellow business agent testified at trial that Castro himself entered a field on one occasion with the intent of confronting a nonstriking worker. In any event, Castro was present during many of the violent outbreaks. Although the Union knew of Castro’s presence in the fields, it never removed him from his post nor disciplined him in any way. Likewise, Escamilla, despite her disobedience, maintained her position as a picket captain and her place on the negotiating committee.
Ybarrolaza, on the other hand, did not picket during the strike and, to repeat, did advise the Local against the practice of field picketing. He also participated in negotiations to end the strike and reported to the International and the Joint Council on the status of the strike and the negotiations.
B. The Lawsuit
Growers turned to the state courts for relief, filing a series of lawsuits alleging only state law violations by Local 890 for the actions of its picketers. On August 13, 1990, Local 890 filed a voluntary petition under Chapter 11 of the Bankruptcy Code which automatically stayed the pending state court actions. Growers then amended their complaints to substitute the International and the Joint Council for “Doe” defendants on the basis of the organizations’ participation in the Bud Antle strike. Two years and several hearings later, the bankruptcy court lifted the automatic stay and Growers coordinated the many state lawsuits into one action, Teamsters Labor Dispute II, Judicial Council Coordination Proceeding No. 2650.
The International was not content; several procedural skirmishes ensued. On February 12,1993, the International removed the coordinated proceeding to federal court pursuant to 28 Ü.S.C. § 1452(a), where it was automatically referred to the bankruptcy court. The International resisted the referral and on February 18, 1993, filed a motion to withdraw the reference from the bankruptcy court. Meanwhile, the bankruptcy court issued an order remanding the case back to state court. . That order was stayed by the federal district court pending a decision on the motion to withdraw the reference. That court, Judge Orrick presiding, subsequently granted the motion. The Growers responded with unsuccessful efforts to challenge the district court’s decision. First, the Growers failed to obtain certification of an interlocutory appeal under 28 U.S.C. § 1292(b); and second, they failed to convince this court to grant their petition for a writ of mandamus directing Judge Orrick to rescind the withdrawal of the reference, or to take other action restoring the state proceedings. Undeterred, Growers then moved for a change of venue and for abstention in favor of state court. Judge Orrick granted the request to transfer venue but did not decide the motion to abstain. He then transferred the proceeding to District Judge Ware in San Jose where Growers renewed their abstention motion. Judge Ware denied abstention, reasoning that the application of federal labor laws was necessary to the resolution of the dispute.
Thereafter, the International moved for summary judgment and for sanctions against Growers’ counsel. The Joint Council also moved for summary judgment and, alternatively, for partial judgment on the pleadings. Local 890 moved for judgment on the pleadings with respect to Growers’ cause-of-action for negligent supervision. On June 16, 1994, Judge Ware ordered summary judgment in favor of the International and the Joint Council, but denied Local 890’s motion for judgment on the pleadings. Judge Ware initially denied a motion for sanctions against the Growers’ counsel, but later reopened the matter and issued an order imposing such sanction. Months later, following Growers’ bench trial against Local 890, Judge Ware found the Local hable for strike misconduct pursuant to section 6 of the Norris-LaGuar-dia Act, 29 U.S.C. § 106. Timely appeals and cross-appeals followed.
C. The Appeals
On appeal, Growers contest (1) Judge Or-rick’s decision to withdraw the reference of this case from the bankruptcy court, (2) Judge Ware’s decision not to abstain in favor [1007]*1007of state court, and (3) Judge Ware’s grant of summary judgment in favor of the. International and the Joint Council. Local 890 appeals, and Growers cross-appeal, the judgment against Local 890 for strike misconduct and the resulting damage award. Finally, the International appeals, and Growers’ counsel cross-appeal, Judge Ware’s order imposing sanctions against Growers’ counsel for submitting improper declarations. We affirm in all respects save one. We remand for clarification the district court’s judgment against Local 890, and its award of damages.
II.
PROCEDURAL ISSUES
We turn first to the procedural issues raised by the retention of this action in federal district court.
These issues have their source in the difference between the applicable standards of proof. Section 6 of the Norris-LaGuardia Act applies to the federal adjudication of state tort claims arising out of labor disputes. See United Mine Workers v. (Jibbs, 383 U.S. 715, 737, 86 S.Ct. 1130, 1144-45, 16 L.Ed.2d 218 (1966). It requires “clear proof of actual participation in, or actual authorization of’ the unlawful activity. 29 U.S.C. § 106 (1994). While some states have taken the position that section 6 of the Norris-LaGuar-dia Act applies to state court adjudications of these claims, see, e.g., Hiestand v. Amalgamated Meatcutters, etc., 233 Kan. 759, 666 P.2d 671 (1983); Sowels v. Laborers’ Int'l Union of N. Am., 112 Mich.App. 616, 317 N.W.2d 195 (1981); Melancon v. United Ass’n of Journeymen, 386 So.2d 669 (La.App.1980), writ refused 387 So.2d 596 (La.1980), California has not. Rather, California has specifically rejected the notion that section 6 applies in its epurts’ adjudication of purely state law. claims. See J.R. Norton. Co. v. Gen. Teamsters Local 890, 208 Cal.App.3d 430, 256 Cal.Rptr. 246, 253-54 (1989) (determining the Union’s liability on the basis of state agency law). Not surprisingly, the Growers — favoring the ordinary preponderance of the evidence standard — contend that this entire controversy should be litigated in California courts. The Union, equally unsurprisingly, prefers a federal venue.
A. Withdrawal of the Reference
The bankruptcy court’s order remanding the state claims back to state court, to repeat, was stayed and eventually nullified by the district court’s order withdrawing the reference from the bankruptcy court. The court determined that withdrawal was mandatory because, despite the Growers’ state law causes of action, resolution of the consolidated cases required substantial and material consideration of federal law. Alternatively, if withdrawal was not mandatory, the district court exercised its discretion to grant permissive withdrawal because it was “the most appropriate forum for. the resolution of these cases.” Growers contend that the court abused its discretion by withdrawing the reference due to the lack of material federal issues presented by their .state law allegations.3 Moreover, the Growers argue that withdrawing the reference in this case encouraged forum shopping by rewarding defendants’ efforts to avail themselves of the more stringent federal standard of proof.
[1008]*10081. Jurisdiction and Standard of Review
We have jurisdiction over Growers’ appeal from the order withdrawing the reference from the bankruptcy court under 28 U.S.C. § 1291. An order to withdraw the reference is interlocutory. However, “the rule in this circuit [is] that once a final judgment is entered, an appeal from an order that would otherwise be interlocutory is then appealable.” In re Eastport Associates, 935 F.2d 1071, 1075 (9th Cir.1991). “There is no danger of piecemeal appeal confronting us if we find jurisdiction here, for nothing else remains in the federal courts.” Id. (quoting Anderson v. Allstate Insurance Co., 630 F.2d 677 (9th Cir.1980)). We review a district court’s decision to withdraw the reference for an abuse of discretion. See In re Cinematronics, Inc., 916 F.2d 1444, 1451 (9th Cir.1990).
2. Permissive Withdrawal of the Reference
To understand this issue, a bit of history is necessary. In Northern Pipeline Construction Co. v. Marathon Pipe Line Co., 458 U.S. 50, 102 S.Ct. 2858, 78 L.Ed.2d 598 (1982), the Supreme Court held that the Bankruptcy Act of 1978 impermissibly shifted essential attributes of judicial power from the Article III district court to its non-Artiele III adjunct, the bankruptcy court. Congress responded by enacting the Bankruptcy Amendments and Federal Judgeship Act of 1984, which provided district courts with original but not exclusive jurisdiction over all bankruptcy proceedings. See 28 U.S.C. § 1334(b) (1994). Moreover, to insulate the 1984 Amendments from a constitutional assault like that in Marathon, Congress enacted 28 U.S.C. § 157. That section classifies matters as either “core proceedings,” in which the bankruptcy court “may enter appropriate orders and judgments,” or “non-core proceedings,” which the bankruptcy court may hear but for which it may only submit proposed findings of fact and conclusions of law to the district court for de novo review. 28 U.S.C. § 157 (1994). Actions that do not depend on bankruptcy laws for their existence and that could proceed in another court are considered “non-core.” See In re Castlerock Properties, 781 F.2d 159, 162 (9th Cir.1986).
Section 157 also governs the district court’s authority to withdraw the reference and, consistent with the Marathon decision, mandates withdrawal in cases requiring material consideration of non-bankruptcy federal law. See 28 U.S.C. § 157(d).4 The district court’s authority for permissive withdrawal is governed by the first sentence of 28 U.S.C. § 157(d): “The district court may withdraw ... any case or proceeding referred [to the bankruptcy court] on its motion or on timely motion of a party, for cauce shown.” 28 U.S.C. § 157(d) (emphasis added). In determining whether cause exists, a district court should consider the efficient use of judicial resources, delay and costs to the parties, uniformity of bankruptcy administration, the prevention of forum shopping, and other related factors. See In re Orion Pictures Corp., 4 F.3d 1095, 1101 (2d Cir.1993).
In this ease efficiency was enhanced by withdrawing the reference because non-core issues predominate. The Growers’ state law claims did not depend on Title 11, see In re Castlerock Properties, 781 F.2d at 162, but were in federal court only because of their potential impact on the administration of Local 890’s estate.5 They [1009]*1009were non-core. Inasmuch as a bankruptcy court’s determinations on non-core matters are subject to de novo review by the district court, unnecessary costs could be avoided by a. single proceeding in the district court. See id.; In re Mann, 907 F.2d 923, 926 (9th Cir.1990). Furthermore, we reject the Growers’ claim that the district court’s decision encourages forum shopping. Growers’ argument misstates the effect of the district court’s decision to withdraw the reference. Without regard to withdrawal, the bankruptcy court’s order remanding Growers’ non-core, state law claims inevitably was subject to the approval of the district court. See 28 U.S.C. § 157(c)(1). Thus, Growers’ real complaint is not with the withdrawal of the reference, but with Judge Orrick’s implicit rejection of the bankruptcy court’s remand of the Growers’ ease to the state court6 — an issue not raised by this appeal and, in any event, not reviewable by this court.7 Consequently, the district court’s decision to withdraw the reference from the bankruptcy court did not amount to an abuse of discretion.8
B. Denial of Motion to Abstain As a Decision Not to Remand
Relying on the conclusions reached by Judge Orrick in his order withdrawing -the reference, Judge Ware, now presiding because of the venue change, summarily denied Growers’ motion to abstain.
Abstention is . governed by 28 U.S.C. § 1334(c) and, like withdrawal of the reference, can be either permissive or mandatory. Section 1334(c)(1) provides for permissive abstention in both core and non-core proceedings while the mandate to abstain contained in section 1334(e)(2) applies only to actions merely “related to” a bankruptcy case. Without reaching the merits of Judge Ware’s decision not to abstain, we hold that the abstention provisions are inapplicable to this case. Moreover, to the extent that we are required .to construe Growers’ motion to abstain as a motion to remand, we note again that we lack appellate jurisdiction to review the district court’s decision not to remand.
1. Jurisdiction
Abstention can exist only where there is a parallel proceeding in state court. That is, inherent in the concept of abstention is the presence of a pendant state, action in favor of which the federal court must, or may, abstain. See, e.g., In re S.G. Phillips Constrs., Inc., 45 F.3d 702, 708 (2d Cir.1995) (including as a requirement for mandatory abstention the presence of a previously commenced state action); In re Tucson Estates, 912 F.2d 1162, 1167 (9th Cir.1990) (recognizing as a factor for permissive abstention the presence of a related proceeding commenced in state court or other nonbankruptcy court).9
[1010]*1010To require a pendant state action as a condition of abstention eliminates any confusion with 28 U.S.C. § 1452(b), which provides district courts with the authority to remand civil actions properly removed to federal court, in situations where there is no parallel proceeding. Section 1334(c) abstention should be read in pari materia with section 1452(b) remand, so that the former applies only in those cases in which there is a related proceeding that either permits abstention in the interest of comity, section 1334(c)(1), or that, by legislative mandate, requires it, section 1334(c)(2).
The International extinguished the coordinated state proceeding on February 12, 1993 when it successfully removed this case to federal court. No other related proceeding thereafter exists.10 To avoid confusion and to protect against the inconsistent application of the law, we treat the denial of abstention in this case as a decision not to remand, which we cannot review because of 28 U.S.C. § 1452(b).
The International removed this action to federal court pursuant to 28 U.S.C. § 1452(a), the Bankruptcy Code’s analog to the general statutory provision governing removal, 28 U.S.C. § 1441. Thus, a decision not to remand this case comes within the proscriptive language of section 1452(b), which provides in relevant part:
An order entered under this subsection remanding a claim or cause of action, or a decision not to remand, is not reviewable by appeal or otherwise by the court of appeals under section 158(d), 1291, or 1292 of this title....
(Emphasis added). See also Things Remembered, — U.S. at -, 116 S.Ct. at 499 (Ginsburg, J., concurring) (“... [28 U.S.C.] § 1452(b) independently warrants the judgment that remand orders in bankruptcy cases are not reviewable”). The purpose of section 1452 is to enlarge a trial court’s power to remove or remand a claim related to a bankruptcy case. See Things Remembered, — U.S. at-, 116 S.Ct. at 499 (Ginsburg, J., concurring). Section 1452(b) therefore bars our exercise of appellate jurisdiction over this aspect of Growers’ appeal.
III.
MERITS
A. Growers’ Claims Against the International Brotherhood of Teamsters and Joint Council No. 7
In February 1994, after the Growers had exhausted their efforts to return this case to state court, the International moved for summary judgment. In March 1994, the Joint Council also so moved.11 The district court combined the motions for joint consideration and granted summary judgment in favor of the International and the Joint Council on all claims made by Growers. Growers now appeal the -district court’s grant of summary judgment. We have jurisdiction and affirm.
[1011]*10111. Authentication of the “Smoking-Gun” Declarations
As a preliminary matter, Growers argue that the district court erred by refusing to consider certain declarations presented by Growers on the basis that they were not properly authenticated. The submission of the declarations at issue, the “smoking-gun” declarations, ultimately resulted in the sanctioning of Growers’ counsel. Nonetheless, Growers contend that the district court should not have sustained the International’s objection to them at the motion for summary judgment.
We review a district court’s eviden-tiary rulings for an abuse of discretion. See United States v. Sarno, 73 F.3d 1470, 1488 (9th Cir.1995), cert. denied, — U.S. -, 116 S.Ct. 2555, 135 L.Ed.2d 1073 (1996). The standard governing admissibility is as follows: “The requirement of authentication or identification as a condition precedent to admissibility is satisfied by evidence sufficient to support a finding that the matter in question is what its proponent claims.” Fed.R.Evid. 901(a).
The International provided the district court with sworn deposition testimony of the declarants which contradicted significant portions of the declarations, undermining the authenticity of the evidence. In addition, the International successfully cast doubt upon the credibility of Victor Vidal, a private investigator and translator hired by Growers. Vidal swore under penalty of perjury that he was fluent in both Spanish and English and that he had translated the declarations from English to Spanish before the declarants, who understood only Spanish, signed them. However, the International’s deposition of Vidal, during which he was forced to request the assistance of an interpreter, suggested that he was not fluent in Spanish. Vidal’s need for an interpreter significantly called into question the reliability of the declarations. The sufficiency of authentication rests in the sound discretion of the district court. See Gates v. Rivera, 993 F.2d 697, 700 (9th Cir.1993). We see no basis for holding that it erroneously exercised such discretion here.
2. Review of Summary Judgment Against Growers
The proper litany is that we review a grant of summary judgment de novo. See Bagdadi v. Nazar, 84 F.3d 1194, 1197 (9th Cir.1996). Moreover, we must determine, viewing the evidence in the light most favorable to the nonmoving party, whether there are any genuine issues of material fact and whether the relevant substantive law was correctly applied. See id;
To avoid summary judgment, Growers were required to present evidence such that a reasonable trier-of-fact could return a verdict in their favor. See Anderson v. Liberty Lobby, 477 U.S. 242, 248-49, 106 S.Ct. 2505, 2510, 91 L.Ed.2d 202 (1986). Such evidence is to be measured against the substantive evidentiary standard of proof applicable at trial. See id. at 254, 106 S.Ct. at 2513. As previously discussed, the applicable standard of proof in this case is provided by section 6 of the Norris-LaGuardia Act, 29 U.S.C. § 106, which provides:
No officer or member of any association or organization, and no association or organization participating or interested in a labor dispute, shall be held responsible or hable in any court of the United States for the unlawful acts of individual officers, members, or agents, except upon clear proof of actual participation in, or actual authorization of, such acts, or of ratification of such acts after actual knowledge thereof.
(Emphasis added). The Supreme Court has equated “clear proof’ with standards such as “clear, unequivocal and convincing proof.” Gibbs, 383 U.S. at 737, 86 S.Ct. at 1145.
a. Role of the International’s Representative Ybarrolaza
The Growers’ case against the International and the Joint Council rests substantially on the significance properly attributable to the International’s appointment of Ybarrola-za to oversee the operations of Local 890 and his actions thereafter.12 They argue that: [1012]*1012(1) The scope and influence of Ybarrolaza’s involvement with the Local was such that the International and the Joint Council assumed de facto control over Local 890; (2) Ybarrola-za had knowledge of the unlawful strike activity, but did not intervene; and (3) Ybarro-laza was present during strike functions wherein Local 890 officials advocated the. use of force.
(1) Did The International and The Joint Council “Control” the Local?
The Growers’ first theory of liability does not rest on Ybarrolaza’s actual participation in or authorization of the illegal activity. Instead,' they attempt to demonstrate that his involvement with Local 890 was sufficient to support a finding, based on clear and convincing proof, that the International and the Joint Council “controlled” the Local.13
At summary judgment, Growers supplied documentary evidence and deposition testimony which established that Ybar-rolaza had full access to Local 890 business records, that he maintained an office at Local 890 headquarters, and that he was expected to, and did, take a lead role in the negotiation of the Local’s collective bargaining agreements. None of this is disputed by the defendants. In fact, all parties agree on the extent of Ybarrolaza’s involvement in the daily operations of Local 890. They disagree only about that which reasonably can be inferred from Ybarrolaza’s role. The International and the Joint Council insist that Ybarrolaza merely assisted the Local in carrying out its functions as a collective bargaining representative. Growers argue that Ybarrolaza’s' involvement supports the inference that defendants “controlled” the actions of Local 890.
The Growers’ conclusion is not supported by the facts. Despite increasing dissatisfaction with Local 890’s performance, the International chose not to place it in trusteeship. It selected a lesser mode of involvement. The International appointed Ybarrolaza to supervise the Local in the administration of its affairs.14 In effect, Growers contend, despite the stated purpose of .Ybarrolaza’s appointment, that Ybarrolaza’s relationship with Local 890 was that of a de facto trustee. We disagree. Growers provide no evidence that Ybarrolaza exercised control or even influence over the strike policy of the Local. What Growers can demonstrate is that Ybar-rolaza participated in negotiations, assisted with the implementation of austerity measures, and reported to McCarthy on the status of the Local’s progress.15 In short, they [1013]*1013fail to create a triable issue of fact that the International or the Joint Council controlled the Local. See Rodonich v. House Wreckers Union Local 95, 817 F.2d 967, 974 (2d Cir.1987) (noting the well-settled rule that the exercise of supervisory powers is on its own insufficient to render an affiliate union the agent of the international). Thus, Ybarrola-za’s appointment did not expose the International and the Joint Council to liability.
Our conclusion is not weakened by the Growers’ subsequent presentation of evidence, in the lawsuit against Local 890, demonstrating that Ybarrolaza lacked control over the actions of the Local. In the bench trial against Local 890, Growers put into evidence deposition testimony indicating that Ybarrolaza “repeatedly admonished” Local 890 officials not to picket Growers’ fields, and to reduce the number of picketers, “but to no avail.”
(2) The International’s and The Joint Council’s Knowledge of Strike Misconduct
Growers also argue that, through Ybarrolaza, the International had knowledge of the illegal activities. Norris-LaGuardia, however, requires more than knowledge of the unlawful activity. See 29 U.S.C. § 106. It requires either participation, or authorization of the illegal acts, or ratification of such acts in addition to “actual knowledge thereof.” See id. Thus, Growers’ ability to establish that the International and the Joint Council had knowledge of the strike misconduct, without more, does not demonstrate liability on the part of the International or the Joint Council.16 Nor does Ybarrolaza’s continued involvement as an advisor to the Local and in the negotiations to end the strike amount to ratification of the unlawful acts. See Gibbs, 383 U.S. at 738-39, 86 S.Ct. at 1145-46 (requiring for ratification proof that the union approved of the violence).
Finally, Growers contend that Ybarrolaza was present when the use of force was advocated by Local 890 officials. We have examined the record and find no support for this contention. We therefore affirm the grant of summary judgment.
B. Review of Bench Trial Judgment Against Local 890
Following a bench trial, the district court found that Local 890 was an active participant in conduct which caused damages to Growers. The Local appeals the court’s judgment. It contends that the court erred in its interpretation of section 6 of the Norris-LaGuardia Act, and that the evidence produced at trial did not rise to Norris-LaGuardia’s requirement of clear proof. Growers cross-appeal the court’s determination of the damage award. We uphold the district court’s finding of liability, but remand on the issue of damages for the limited purpose of determining whether, and to what extent, the district court based the Union’s liability on California Civil Code § 51.7.
1. Application of Section 6
The district court found “clear evidence that conduct in which Local 890 was an active participant caused damages to the plaintiffs.” (Emphasis added). Local 890 argues that the district court misinterpreted section 6 of the Norris-LaGuardia Act to impose liability when picketers commit illegal acts in violation of the Local’s policies, and thus insists that we review the district court’s liability determination de novo.
Local 890 also contends that the court’s conclusion is inconsistent with its findings-of-fact. These findings include the statement: “There was no evidence that officials of Local 890 directed anyone to damage or destroy property.” From this perceived inconsistency, Local 890 infers error in the court’s application of section 6. However, this statement is easily reconciled with the court’s finding of liability under Norris-LaGuardia. The Union’s active participation in conduct in violation of state law need not include an [1014]*1014order to destroy property. Moreover, destruction of property, although a foreseeable result of strike misconduct, is not a requirement of section 6.17 We therefore decline to review the district court’s application of Norris-LaGuardia de novo. It is clear to us that the district court did not misinterpret the meaning of section 6.
Our review of a district court’s application of the law to the facts is for clear error. See Masayesva v. Zah, 65 F.3d 1445, 1453 (9th Cir.1995). Moreover, “review under the clearly erroneous standard is significantly deferential, requiring a definite and firm conviction that a mistake has been committed.” Exxon Co. v. Sofec Inc., 54 F.3d 570, 576 (9th Cir.1995), aff'd, -U.S.-, 116 S.Ct. 1813, 135 L.Ed.2d 113 (1996).
We now turn to whether the evidence in the record provides the required clear proof of Local 890’s unlawful conduct. To repeat, the clear proof standard of Norr ris-LaGuardia’s section 6 requires proof which is clear, convincing, and unequivocal. See Gibbs, 383 U.S. at 737, 86 S.Ct. at 1143. Local 890 asserts that the evidence in the record does not satisfy this stringent requirement. It argues that in each incident of illegality, union leadership was not present, had no knowledge of the incident, or took action to prevent or curtail the wrongful conduct. This contention does not find support in the record.
These leaders were often present. The record conveys several sightings of Arturo Castro, a Local 890 business agent. Castro was present when picketers committed violent acts and vandalized the property of Growers. And on at least one occasion, Castro himself trespassed onto a Grower’s field to confront a nonstriking worker. Teresa Escamilla, one of the Local’s picket captains, did the same. Authorities arrested Escamil-la. Furthermore, Local 890 did have knowledge of the unlawful incidents. For example, it knew of the conduct of both Castro and Escamilla but failed to discipline either, and allowed each to keep his position of authority. Moreover, Local 890 did not always act to prevent or curtail the wrongful conduct. Ybarrolaza advised Local 890 officials against the practice of field picketing and to reduce the number of picketers. But, as the district court properly found, the Local dispatched “picketers to fields belonging to plaintiffs, with neither limits on the number of picketers nor sufficient numbers of picket captains to ensure that order was maintained.” District Court’s Findings-of Facts and Conclusions of Law, p. 4.
Section 6 draws its force from the principle that unions ought not “be held liable for damage done by acts beyond their practical control.” See Gibbs, 383 U.S. at 737, 86 S.Ct. at 1143. “What is required is proof, either that the union approved the violence which occurred, or that it participated actively or by knowing tolerance in further acts which were in themselves actionable under state law....” Id. at 739, 86 S.Ct. at 1146. This is not a situation where the damage complained of was beyond the Union’s practical control. The evidence presented supports a conclusion, based on clear proof, that the Local authorized or participated in conduct alleged by Growers. Accordingly, the district court did not clearly err by finding the Union liable in this case.
2. Growers’ Cross-Appeal
The district court noted that actual damages to Growers were widespread, and divided them into two categories: damaged property and lost profits.18 However, the court failed to apportion these damages to the Growers’ respective cause(s) of action. [1015]*1015We conclude that, aside from the issue of the Union’s liability under California Civil Code § 51.7 which we address separately, this failure is harmless. We review a district court’s damage award for an abuse of discretion. See Odima v. Westin Tucson Hotel, 53 F.3d 1484, 1495 (9th Cir.1995). Neither party challenges the district court’s assessment of damaged property.
a. Lost Profits
Both Growers and Local 890 submitted expert testimony on the issue of lost profits. The union’s expert testified that there were no lost profits, while Growers’ expert estimated loss at an amount in excess of three million dollars. The district court rejected each, as it was entitled to do, and set the damages at $500,000. The district court observed that the actual amount of lost profits was difficult to determine. Growers claim that $500,000 is an arbitrary and insufficient award.
We disagree. An approximate determination where the “evidence shows the extent of damages a matter of just and reasonable inference” will be sustained. Sutton v. Earles, 26 F.3d 903, 918 (9th Cir.1994). The court rejected Growers’ theory of damages because it relied on an “extremely favorable market rate” and required every crop to be of “premium quality.” It then awarded a fraction of Growers’ proposal, presumably based on what it considered to be more realistic factors. We believe the district court’s award to be a fair assessment of Growers’ loss.19 We therefore affirm this portion of the award.
b. California Civil Code § 51.7
Growers next argue that the court failed to designate and apportion liability pursuant to California Civil Code § 51.7. Among other things, Section 51.7 seeks to protect Californians from violence or the threat of violence, committed against their persons or property, because of their position in a labor dispute.20 The Growers are attracted to the possibility of exemplary damages and attorney fees provided for in section 51.7’s remedial counterpart, California Civil Code § 52(b).
The district court’s failure to confront explicitly section 51.7 leaves open only two possibilities; either that the amount of damages awarded included a section 51.7 recovery, or that it did not. On this record we cannot ascertain which is the ease.21
We must remand this case to the district court to permit it to inform us what, if any, portion of the damages awarded to the Growers is attributable to a violation of section 51.7 and awarded pursuant to section 52(b). The district court should of course add addi[1016]*1016tional damages under California Civil Code §§ 51.7 and 52 to the judgment if such damages were mistakenly omitted. We are reluctant to rely solely on the district court’s curt rejection of the Growers’ request that it find that the Union violated section 51.7 and to reconsider its damage award in light of section 52(b).22 That explanation stated that “it found contrary to the requested amendments.” If so, the district court’s response to our limited remand properly would be “none.” Should that be the proper response the district court should set forth its reasons for the holding.
C. Sanctions
Lastly, Growers cross-appeal the district court’s decision to impose Rule 11 sanctions on Growers’ counsel for submitting false declarations. Growers argue their counsel was justified in filing the declarations because it had no reason to question the declarants’ authenticity. The International also appeals the sanctions award on the grounds that it presented clear evidence that Growers and their counsel knowingly perpetrated a fraud on the district court and should reimburse the International for its entire defense — over $730,000.00. We affirm the sanctions award in all respects.
We review all aspects of a district court’s Rule 11 determination for abuse of discretion. Cooter & Gell v. Hartmarx Corp., 496 U.S. 384, 405, 110 S.Ct. 2447, 2460, 110 L.Ed.2d 359 (1990). “A district court would necessarily abuse its discretion if it based its rule on an erroneous view of the law or on a clearly erroneous assessment of the evidence.” Id. Such a standard requires that we “uphold any district court determination that falls within a broad range of permissible conclusions.” Id. at 400, 110 S.Ct. at 2458.
Rule 11 imposes a duty on attorneys to certify by their signature that (1) they have read the pleadings or the motions they file and (2) the pleading or motion is “well-grounded in fact,” has a colorable basis in law, and is not filed for an improper purpose. Fed.R.Civ.P. 11; Smith v. Ricks, 31 F.3d 1478, 1488 (9th Cir.1994). Counsel, of course, may not avoid “the sting of Rule 11 sanctions by operating under the guise of a pure heart and empty head.” Ricks, 31 F.3d at 1488 (quoting Zuniga v. United Can Co., 812 F.2d 443, 452 (9th Cir.1987)).
Growers filed suit against the International on the strength of eleven self-styled “smoking-gun” declarations tying it to the strike violence. Counsel obtained these declarations from its private investigator Victor Vidal.23 After the International deposed Vidal and the eleven declarants, serious issues of credibility and authenticity surfaced. For instance, Vidal admitted he did not possess a private investigator’s license and was unable to complete his deposition without an interpreter. In addition, the International uncovered numerous inconsistencies between the declarants’ sworn deposition testimony and their previous declarations. Despite these developments, counsel filed the eleven declarations in response to the International’s motion for summary judgment and sanctions.
Although it initially denied sanctions, the district court reopened the issue after the International submitted evidence that three of the declarants were impostors. Counsel defended its actions by attempting to shift blame to Vidal and by pleading ignorance. [1017]*1017We agree with the district court that by blindly relying on Vidal under these circumstances, counsel violated its duty to conduct a reasonable inquiry to determine that the declarations were “well grounded in fact.” See Cooter & Gell, 496 U.S. at 393, 110 S.Ct. at 2454; see also Smith, 31 F.3d at 1488. On this record, we cannot say that the district court abused its discretion by finding that three of the declarants were in fact impostors or that there was insufficient evidence that counsel had knowingly and willfully attempted to deceive the court.24
Bearing in mind our deferential review in these matters, we also conclude that sanctioning counsel for $700.00 in costs and $4,000.00 in attorneys fees, as opposed to a larger amount, was not an abuse of the district court’s discretion. See Cooter & Gell, 496 U.S. at 404, 110 S.Ct. at 2460.25
AFFIRMED IN PART; REVERSED IN PART.