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Paper Citation Record · LEDGER

Legendrian DGA Representations and the Colored Kauffman Polynomial

As of 16 August 2026, this Paper Citation Record lists 33 of 33 outbound references and 0 inbound Pith citation observations for arXiv:1908.08978.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
1908.08978 v2

Coverage vector

measured 33 of 33 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T11:34:15.047455Z

measured 33 of 33 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

33 of 33 outbound references displayed

  • verified exact17
  • verified fuzzy3
  • unresolved12
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation e4b94877-79cb-4c93-96b3-b29adfe66447 · outbound

This paper cites an unresolved cited work.

Legendrian DGA Representations and the Colored Kauffman Polynomial Unresolved cited work

Reference 1

Resolution
verified exact
raw_fallback, observed 2026-08-14T11:34:15.890743Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 3f4c4d85-4f60-48ff-aeda-f45a6345cc7b · outbound

This paper cites an unresolved cited work.

Legendrian DGA Representations and the Colored Kauffman Polynomial Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:34:16.013659Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 65ac20aa-5fda-4d89-809b-23866cd2181e · outbound

This paper cites an unresolved cited work.

Legendrian DGA Representations and the Colored Kauffman Polynomial Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:34:16.003840Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation d10009ab-6173-4bea-9c0c-63aae901e290 · outbound

This paper cites Effect of Legendrian Surgery.

Legendrian DGA Representations and the Colored Kauffman Polynomial Effect of Legendrian Surgery

Reference 4

Resolution
verified exact
local_arxiv, observed 2026-08-14T11:34:15.832140Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 93018d3b-df23-4ce5-8676-a298ce573a24 · outbound

This paper cites I, S´ emin.

Legendrian DGA Representations and the Colored Kauffman Polynomial I, S´ emin

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:34:15.994332Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T11:34:14.928611Z digest=sha256:3f04153abb1be3aa3052f9165d9250d7b51a4fecc389c723e7a94d80b8387d42

Observation 972235dd-34b3-4360-8cf4-3d95f2305bc3 · outbound

This paper cites an unresolved cited work.

Legendrian DGA Representations and the Colored Kauffman Polynomial Unresolved cited work

Reference 6

Resolution
verified exact
raw_fallback, observed 2026-08-14T11:34:15.817241Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T11:34:14.933300Z digest=sha256:ebcf842484a3d0d06e1461bf64975215772fd4cdd4f00ca70f0ab535d0824f3e

Observation afc431bd-9e95-4ab7-b696-3dd888afb002 · outbound

This paper cites Surveys 60 (2005), 95–149.

Legendrian DGA Representations and the Colored Kauffman Polynomial Surveys 60 (2005), 95–149

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:34:15.985129Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T11:34:14.936701Z digest=sha256:90826535fea392cb9188da400aba2fe59351ae44b959e8c96044074864921877

Observation 6f8d847a-5f5c-47aa-9438-4c04880073a1 · outbound

This paper cites Symmetrizers and antisymmetrizers for the BMW algebra.

Legendrian DGA Representations and the Colored Kauffman Polynomial Symmetrizers and antisymmetrizers for the BMW algebra

Reference 8

Resolution
verified exact
local_arxiv, observed 2026-08-14T11:34:15.747998Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T11:34:14.940736Z digest=sha256:0ca8f237224205066d9470743645b52e5fdb1fdde18eab42881ec67779162d58

Observation bb686fdd-f346-4b17-a253-39d2ae6fd94e · outbound

This paper cites Knot contact homology.

Legendrian DGA Representations and the Colored Kauffman Polynomial Knot contact homology

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-14T11:34:14.944148Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T11:34:14.944148Z digest=sha256:6d7a3439fe01ffa0d894cc82f9e912fea309b44e97693ddc6f0a8abcf28e2336

Observation ef5e6832-bb11-4e54-9c55-ac6f43c1f71f · outbound

This paper cites Legendrian contact homology in $\mathbb{R}^3$.

Legendrian DGA Representations and the Colored Kauffman Polynomial Legendrian contact homology in $\mathbb{R}^3$

Reference 10

Resolution
verified exact
local_arxiv, observed 2026-08-14T11:34:15.719053Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T11:34:14.947355Z digest=sha256:e4722561a47da24cdff088e20d4454197661b0ead960a3bca25e64dada82959e

Observation a010c464-91f3-4046-b383-04bcb93044d1 · outbound

This paper cites Symplectic Geom.

Legendrian DGA Representations and the Colored Kauffman Polynomial Symplectic Geom

Reference 11

Resolution
verified exact
raw_fallback, observed 2026-08-14T11:34:15.704400Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T11:34:14.951540Z digest=sha256:bcb7387e057e74e4d39bbbab0c4874b02d31131e126a0109bccbd0a470ca659b

Observation 4e658583-317c-43bd-9a86-80afb63f1660 · outbound

This paper cites an unresolved cited work.

Legendrian DGA Representations and the Colored Kauffman Polynomial Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:34:15.975233Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 78115694-1041-4190-a8b9-81157beb816c · outbound

This paper cites an unresolved cited work.

Legendrian DGA Representations and the Colored Kauffman Polynomial Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:34:15.966302Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T11:34:14.959455Z digest=sha256:3e2cc54dcae2aa48d3e4d747e14bc3ff6cb1e40eb6b30e3dce4e9909af5d4f61

Observation 69ea8112-4f9a-4296-9d6d-b75e0a17aaee · outbound

This paper cites an unresolved cited work.

Legendrian DGA Representations and the Colored Kauffman Polynomial Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:34:15.955699Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T11:34:14.964090Z digest=sha256:3cd5063a07d0804757f02e56ca641532ca23b21d5887a77cb166a5df9fd6fbc7

Observation 9c1f2af6-e7aa-4582-9deb-dbfebc528689 · outbound

This paper cites an unresolved cited work.

Legendrian DGA Representations and the Colored Kauffman Polynomial Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:34:15.945131Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T11:34:14.967662Z digest=sha256:10d64836249078ef1eb7641c0dd896cdd61a093ea4ce1d56f45f389eff3287cc

Observation 3e8bd2de-517a-4271-9d10-05357677639d · outbound

This paper cites 109, Cambridge University Press, Cambridge, 2008.

Legendrian DGA Representations and the Colored Kauffman Polynomial 109, Cambridge University Press, Cambridge, 2008

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:34:15.935153Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T11:34:14.970971Z digest=sha256:8aee1711a207ed4fc2e26c5d06f66a191b034834ca8d7dd3ca1daa2be8d0d34e

Observation aeaa1fb7-4416-432e-9a64-6f94d2202b08 · outbound

This paper cites an unresolved cited work.

Legendrian DGA Representations and the Colored Kauffman Polynomial Unresolved cited work

Reference 17

Resolution
verified exact
raw_fallback, observed 2026-08-14T11:34:15.643318Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T11:34:14.974941Z digest=sha256:d11018187717b23b22a443feffa56c8071e815799ce91ddd0d83b0c7ed96f80c

Observation 23d7f912-951f-4e75-8c7e-5c54d3bf0315 · outbound

This paper cites Connections between Floer-type invariants and Morse-type invariants of Legendrian knots.

Legendrian DGA Representations and the Colored Kauffman Polynomial Connections between Floer-type invariants and Morse-type invariants of Legendrian knots

Reference 18

Resolution
verified exact
local_arxiv, observed 2026-08-14T11:34:15.581325Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T11:34:14.983645Z digest=sha256:04b1db330111675128c0172814ad520e5bf63fd500b942c69a9a2215a0352c72

Observation f20aa105-14a3-4ba1-91e9-d16e09c4d3b1 · outbound

This paper cites Ruling polynomials and augmentations over finite fields.

Legendrian DGA Representations and the Colored Kauffman Polynomial Ruling polynomials and augmentations over finite fields

Reference 19

Resolution
verified exact
local_arxiv, observed 2026-08-14T11:34:15.568144Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T11:34:14.988187Z digest=sha256:54a82a483179d9dc7550415983a5f2f5b8131b40a49d22165bf438e144a72607

Observation 75978eac-0dc3-4ac7-b951-047dfd3e19cb · outbound

This paper cites Satellite ruling polynomials, DGA representations, and the colored HOMFLY-PT polynomial.

Legendrian DGA Representations and the Colored Kauffman Polynomial Satellite ruling polynomials, DGA representations, and the colored HOMFLY-PT polynomial

Reference 20

Resolution
unresolved
no resolver link, observed 2026-08-14T11:34:14.993608Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T11:34:14.993608Z digest=sha256:31e27f0a357b082af3008e5912941ff4356a53df28ae5904d357c4b2a01e2047

Observation 323c4129-42d9-46e1-aef8-7e877f18c042 · outbound

This paper cites an unresolved cited work.

Legendrian DGA Representations and the Colored Kauffman Polynomial Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:34:15.924097Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T11:34:14.998914Z digest=sha256:e323c36fdbed61e96e1de179d357f2e1195bf81528353b81623e0282e08c221e

Observation c389c181-a228-4ead-b066-b187f8af6089 · outbound

This paper cites an unresolved cited work.

Legendrian DGA Representations and the Colored Kauffman Polynomial Unresolved cited work

Reference 22

Resolution
verified exact
raw_fallback, observed 2026-08-14T11:34:15.545414Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T11:34:15.003860Z digest=sha256:2f3c33b1e66560929977786f7c8a598182abe23b5958cc3bb4252e9f04ed1e47

Observation 22a575f6-13f8-490e-9341-444a7478f44e · outbound

This paper cites A skein approach to Bennequin type inequalities.

Legendrian DGA Representations and the Colored Kauffman Polynomial A skein approach to Bennequin type inequalities

Reference 23

Resolution
verified exact
local_arxiv, observed 2026-08-14T11:34:15.475159Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 54955509-9b6e-45fb-9f3d-5593f887db2d · outbound

This paper cites Satellites of Legendrian knots and representations of the Chekanov-Eliashberg algebra.

Legendrian DGA Representations and the Colored Kauffman Polynomial Satellites of Legendrian knots and representations of the Chekanov-Eliashberg algebra

Reference 24

Resolution
verified exact
local_arxiv, observed 2026-08-14T11:34:15.460516Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T11:34:15.013234Z digest=sha256:17a5aa4a8badcdcec2ea47e0e96ffe4d5bf760cab78a7c551d12eb6fa9c9b2a0

Observation 34d7981b-a138-4aef-9977-9823a4b49b20 · outbound

This paper cites Augmentations are Sheaves.

Legendrian DGA Representations and the Colored Kauffman Polynomial Augmentations are Sheaves

Reference 25

Resolution
unresolved
no resolver link, observed 2026-08-14T11:34:15.017667Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T11:34:15.017667Z digest=sha256:3e9579a76dec01b082b24f970e28844c853a21b04b1f69aec8df45bc62339643

Observation 6003d4b3-42c4-44ca-b686-65b416ee42dc · outbound

This paper cites an unresolved cited work.

Legendrian DGA Representations and the Colored Kauffman Polynomial Unresolved cited work

Reference 26

Resolution
verified exact
raw_fallback, observed 2026-08-14T11:34:15.433114Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T11:34:15.022109Z digest=sha256:a4de3f22c34e526c66e3f3f4a0ca6017ce092d5f9f1c00d36fabb8cf7f3ccad1

Observation 6ff42e16-e4a2-4562-a037-4b248f601aec · outbound

This paper cites Symplectic Geom.

Legendrian DGA Representations and the Colored Kauffman Polynomial Symplectic Geom

Reference 27

Resolution
verified exact
raw_fallback, observed 2026-08-14T11:34:15.372229Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T11:34:15.026179Z digest=sha256:57742217aa1198336017d6381fe227cf6664cd6f21816ec6ee7197286cd24385

Observation 6a3b3d0f-79e8-4e0a-913d-855d0cd91777 · outbound

This paper cites an unresolved cited work.

Legendrian DGA Representations and the Colored Kauffman Polynomial Unresolved cited work

Reference 28

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:34:15.913633Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 49543c95-8705-4769-9f2e-34248a9469ef · outbound

This paper cites an unresolved cited work.

Legendrian DGA Representations and the Colored Kauffman Polynomial Unresolved cited work

Reference 29

Resolution
verified exact
raw_fallback, observed 2026-08-14T11:34:15.308362Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T11:34:15.033942Z digest=sha256:bb6e1a8613579871b6774ea2378c853b75a1dcad2f8a97bb4c716c409b4e037d

Observation d0a7bf3b-3737-489c-b032-5c910ac632ee · outbound

This paper cites HOMFLY-PT polynomial and normal rulings of Legendrian solid torus links.

Legendrian DGA Representations and the Colored Kauffman Polynomial HOMFLY-PT polynomial and normal rulings of Legendrian solid torus links

Reference 30

Resolution
metadata mismatch
local_arxiv, observed 2026-08-14T11:34:15.230134Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T11:34:15.037036Z digest=sha256:1154fa8d7ae46bdea2695a2957270a6f02e0b7f0ea277615b08100a65edb9414

Observation 680afa9f-75a3-495a-a67d-aa95c8059b6a · outbound

This paper cites an unresolved cited work.

Legendrian DGA Representations and the Colored Kauffman Polynomial Unresolved cited work

Reference 31

Resolution
verified exact
raw_fallback, observed 2026-08-14T11:34:15.214274Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 60e4ad73-4995-447a-8fe1-a660984bc865 · outbound

This paper cites an unresolved cited work.

Legendrian DGA Representations and the Colored Kauffman Polynomial Unresolved cited work

Reference 32

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:34:15.903104Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T11:34:15.044367Z digest=sha256:946bea69fed9d5140463643be2a631fc630269d0b1025815d8b2609163d3fcc5

Observation d477f6ca-085d-4483-b623-c9ea3cb1f018 · outbound

This paper cites an unresolved cited work.

Legendrian DGA Representations and the Colored Kauffman Polynomial Unresolved cited work

Reference 33

Resolution
verified exact
raw_fallback, observed 2026-08-14T11:34:15.146514Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T11:34:15.047455Z digest=sha256:90d480c485fafdfbf53d54538a67b684646496f23afd8fb36672abbed1e729ec

Pith citing papers

No inbound Pith citation observations are available.