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Paper Citation Record · LEDGER

The HOMFLY-PT polynomial and HZ factorisation

As of 22 August 2026, this Paper Citation Record lists 49 of 49 outbound references and 2 inbound Pith citation observations for arXiv:2412.04933.

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

pith.paper-citation-record.v1
2412.04933 v4

Coverage vector

measured 49 of 49 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T21:15:47.631944Z

measured 51 of 51 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-22T14:17:24.736704Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-22T14:21:39.864504Z

Reference resolution

49 of 49 outbound references displayed

  • verified exact7
  • verified fuzzy23
  • unresolved19
  • parse uncertain0
  • malformed identifier0
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External citation measurements

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Outbound references

Observation 1bc72306-3a27-41b0-90a7-bb882f1243ec · outbound

This paper cites Witten, Quantum field theory and the Jones polynomial, Commun.

The HOMFLY-PT polynomial and HZ factorisation Witten, Quantum field theory and the Jones polynomial, Commun

Reference 1

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T21:15:47.379617Z digest=sha256:ec298350b74086159024c4b9e3ab0c3754ff825865ed0d8cf2b2849b2fbc6e3a

Observation 73546bab-c646-4dcf-ad48-b046a9e0eeec · outbound

This paper cites Jones, Hecke algebra representations of braid groups and link poly- nomials, Annals of Mathematics 126 (1987) 335.

The HOMFLY-PT polynomial and HZ factorisation Jones, Hecke algebra representations of braid groups and link poly- nomials, Annals of Mathematics 126 (1987) 335

Reference 2

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Observation d657f6bb-2864-4a17-b984-e3a8934b63e5 · outbound

This paper cites Freyd, D.

The HOMFLY-PT polynomial and HZ factorisation Freyd, D

Reference 3

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Observation 3661d3a6-6302-4e62-9452-0a197acfece3 · outbound

This paper cites Przytycki and P.

The HOMFLY-PT polynomial and HZ factorisation Przytycki and P

Reference 4

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source=pdf_text observed=2026-08-11T21:15:47.397075Z digest=sha256:9cdabc06766e1c10781ad185a8f0aa21db7b58844854dc9d2f4591dac743e7da

Observation b8eb723c-7296-4759-aafb-810b2d163c65 · outbound

This paper cites Harer and D.

The HOMFLY-PT polynomial and HZ factorisation Harer and D

Reference 5

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source=pdf_text observed=2026-08-11T21:15:47.402373Z digest=sha256:1ab3f587530695744269b7594765aaff1560cea2aee282050efd4dc84fb36d10

Observation b75a42ef-cac3-410f-a96f-092a96f5a932 · outbound

This paper cites Itzykson and J.

The HOMFLY-PT polynomial and HZ factorisation Itzykson and J

Reference 6

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source=pdf_text observed=2026-08-11T21:15:47.407354Z digest=sha256:ce98949d1ddbe1af45768ebd22f99efeca2663fcb3af8c76c802ae2d0d472972

Observation 98ea7871-1725-421a-97c9-6cd2b17b8e17 · outbound

This paper cites an unresolved cited work.

The HOMFLY-PT polynomial and HZ factorisation Unresolved cited work

Reference 7

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source=pdf_text observed=2026-08-11T21:15:47.412863Z digest=sha256:e9804b69ae053544e73442a9e5ef6772bd73ca5ec1f3c07b5d4635e3131fa046

Observation 3a4e0f13-9296-4601-9019-63a0385416d8 · outbound

This paper cites an unresolved cited work.

The HOMFLY-PT polynomial and HZ factorisation Unresolved cited work

Reference 8

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source=pdf_text observed=2026-08-11T21:15:47.417567Z digest=sha256:0d66914e5001a5c475a38fcf725b0fa0b5634f9b20276b50acd69e9ea268b8e1

Observation 10bff405-bb96-46b8-9554-f9182ad20a3c · outbound

This paper cites Kontsevich, Intersection theory on the moduli space of curves and the matrix Airy function, Commun.

The HOMFLY-PT polynomial and HZ factorisation Kontsevich, Intersection theory on the moduli space of curves and the matrix Airy function, Commun

Reference 9

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source=pdf_text observed=2026-08-11T21:15:47.423389Z digest=sha256:8a7f98862e8647ca9c13426a6a430d46524a78da22ac9ec01d3667e15c6e5869

Observation 591300e6-63da-4f46-b3e2-98ad393b34e0 · outbound

This paper cites Br´ ezin and S.

The HOMFLY-PT polynomial and HZ factorisation Br´ ezin and S

Reference 10

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source=pdf_text observed=2026-08-11T21:15:47.428946Z digest=sha256:951738635e935a4f0bb893339c9d7b9d8aff3b70c8041e263c20b30e662e6014

Observation 771d824e-b000-4c88-a0e8-ffac8ec28b0f · outbound

This paper cites Br´ ezin and S.

The HOMFLY-PT polynomial and HZ factorisation Br´ ezin and S

Reference 11

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source=pdf_text observed=2026-08-11T21:15:47.433797Z digest=sha256:57fb4140430ab108031a95d0c80f2b55f55f2ba554c60f3ffc5f87b709a221b4

Observation 38161e4e-6739-44f4-9ee1-9395227b97b0 · outbound

This paper cites From Brezin-Hikami to Harer-Zagier formulas for Gaussian correlators.

The HOMFLY-PT polynomial and HZ factorisation From Brezin-Hikami to Harer-Zagier formulas for Gaussian correlators

Reference 12

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source=pdf_text observed=2026-08-11T21:15:47.439034Z digest=sha256:fa92ccba1d724037ec50709a71064215cb827132ba556d24f51ea8af7d80a4be

Observation 5e3e7372-82c8-4e19-bb4b-2951a632c56b · outbound

This paper cites Morozov, A.

The HOMFLY-PT polynomial and HZ factorisation Morozov, A

Reference 13

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Observation 5b75bed0-f92e-4e5c-9a31-8c6b7d902802 · outbound

This paper cites Petrou and S.

The HOMFLY-PT polynomial and HZ factorisation Petrou and S

Reference 14

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doi, observed 2026-08-11T21:15:47.687612Z

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Observation 68108d08-d684-4c21-bc17-07d48ec4eb67 · outbound

This paper cites A Relation Between the Kauffman and the HOMFLY Polynomials for Torus Knots.

The HOMFLY-PT polynomial and HZ factorisation A Relation Between the Kauffman and the HOMFLY Polynomials for Torus Knots

Reference 15

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source=pdf_text observed=2026-08-11T21:15:47.454904Z digest=sha256:5bc8e4f273d2aa5fb657832e9b32263849cdf723852b4d955ee6c8cf82e67fa8

Observation def26e1f-df6e-43c2-b016-f06401dd6a12 · outbound

This paper cites Rosso and V.

The HOMFLY-PT polynomial and HZ factorisation Rosso and V

Reference 16

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source=pdf_text observed=2026-08-11T21:15:47.460040Z digest=sha256:9c43c258040bcf8a98ce06af00ee06992b9035ded7527c75daaf628a299c806e

Observation 4a77afbf-2a62-4489-87e6-a4a39f9db846 · outbound

This paper cites an unresolved cited work.

The HOMFLY-PT polynomial and HZ factorisation Unresolved cited work

Reference 17

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source=pdf_text observed=2026-08-11T21:15:47.464944Z digest=sha256:4bc1f0c179b2b6f0b8e502af600f2997beffc9450d25843118ce885e5c285c18

Observation 22ca7c04-9771-44e4-9264-e799f2d884fc · outbound

This paper cites Khovanov, A categorification of Jones polynomial, Duke Math J.

The HOMFLY-PT polynomial and HZ factorisation Khovanov, A categorification of Jones polynomial, Duke Math J

Reference 18

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source=pdf_text observed=2026-08-11T21:15:47.469825Z digest=sha256:8457a3a27040b3c4075638eaa8d51bb95a805445c452b76cd55c3afb4b4f94d6

Observation f166839d-8b91-4394-bdbc-26ab92aedc29 · outbound

This paper cites Khovanov, Categorifications of the colored Jones polynomial, J.

The HOMFLY-PT polynomial and HZ factorisation Khovanov, Categorifications of the colored Jones polynomial, J

Reference 19

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Observation d073679f-47ac-4498-a5ba-9c8897e4c2b6 · outbound

This paper cites Bar-Natan, On Khovanov’s categorification of the Jones polynomial, Algebraic & Geometric Topology, 2 (2002) 337.

The HOMFLY-PT polynomial and HZ factorisation Bar-Natan, On Khovanov’s categorification of the Jones polynomial, Algebraic & Geometric Topology, 2 (2002) 337

Reference 20

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source=pdf_text observed=2026-08-11T21:15:47.479446Z digest=sha256:4c1f84316bb8eb5e95bc005f6f56df28004e138aa334f2f530cd6f687d6b4a9e

Observation a646ea45-eebb-4132-b031-bc0ca9662164 · outbound

This paper cites Bar-Natan, Fast Khovanov homology computations, J.

The HOMFLY-PT polynomial and HZ factorisation Bar-Natan, Fast Khovanov homology computations, J

Reference 21

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Observation 9146f523-2115-4845-82c3-66aada103e25 · outbound

This paper cites Petrou and S.

The HOMFLY-PT polynomial and HZ factorisation Petrou and S

Reference 22

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Observation 9eff0cb0-091b-4baf-88a4-ba46422de578 · outbound

This paper cites Livingston and A.

The HOMFLY-PT polynomial and HZ factorisation Livingston and A

Reference 23

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Observation dbf350a4-c2f9-4122-a1c7-a7a55d35363f · outbound

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The HOMFLY-PT polynomial and HZ factorisation Unresolved cited work

Reference 24

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Observation 2eaead97-83ca-49d8-bae4-7ad3896a002b · outbound

This paper cites Jucys, Symmetric polynomials and the center of the symmetric- group ring, Rep.

The HOMFLY-PT polynomial and HZ factorisation Jucys, Symmetric polynomials and the center of the symmetric- group ring, Rep

Reference 25

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Observation 357ce5a9-a28c-4fdf-9e74-5bfc4e424489 · outbound

This paper cites an unresolved cited work.

The HOMFLY-PT polynomial and HZ factorisation Unresolved cited work

Reference 26

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Observation 832a74fb-4a74-47a3-aad2-4595768702d4 · outbound

This paper cites Dunin-Barkowski, A.

The HOMFLY-PT polynomial and HZ factorisation Dunin-Barkowski, A

Reference 27

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Observation 57eb597a-bf89-4ec2-9a5c-f85be9f695e7 · outbound

This paper cites Lee, Composite Knots Obtained by Twisting Torus Knots, Interna- tional Mathematics Research Notices, Volume 2019, (2019) 5744–5776, https://doi.org/10.1093/imrn/rnx282.

The HOMFLY-PT polynomial and HZ factorisation Lee, Composite Knots Obtained by Twisting Torus Knots, Interna- tional Mathematics Research Notices, Volume 2019, (2019) 5744–5776, https://doi.org/10.1093/imrn/rnx282

Reference 28

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Observation f076713b-a485-493c-a7b5-d14f95814e79 · outbound

This paper cites an unresolved cited work.

The HOMFLY-PT polynomial and HZ factorisation Unresolved cited work

Reference 29

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Observation 5c909f4b-368b-4013-903c-6259c35f2582 · outbound

This paper cites Franks and R.

The HOMFLY-PT polynomial and HZ factorisation Franks and R

Reference 30

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Observation a3374d13-0331-4e9d-8836-97ee1faaf901 · outbound

This paper cites an unresolved cited work.

The HOMFLY-PT polynomial and HZ factorisation Unresolved cited work

Reference 31

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Observation 6978392f-f2b0-42b0-8b69-a06354e0a959 · outbound

This paper cites Punctures and p-spin curves from matrix models III. Dl type and logarithmic potential.

The HOMFLY-PT polynomial and HZ factorisation Punctures and p-spin curves from matrix models III. Dl type and logarithmic potential

Reference 32

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T21:15:47.540326Z digest=sha256:b821a5e0baf27bc9ef6274ee190d5615ab28026888225f83ba084d665027d17c

Observation 5f391b88-6821-43d3-9480-6c98e9cdb8b9 · outbound

This paper cites an unresolved cited work.

The HOMFLY-PT polynomial and HZ factorisation Unresolved cited work

Reference 33

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Observation ddf54854-c2a8-406e-9c76-0802b8961eac · outbound

This paper cites an unresolved cited work.

The HOMFLY-PT polynomial and HZ factorisation Unresolved cited work

Reference 34

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Observation 52c8f1b1-1d30-430a-a5f9-baff63578606 · outbound

This paper cites Mironov, A.

The HOMFLY-PT polynomial and HZ factorisation Mironov, A

Reference 35

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source=pdf_text observed=2026-08-11T21:15:47.555846Z digest=sha256:ec9569f7a022c55df2f34e3baa82618d118a78fb0ac6cf223237145d374f232f

Observation 162c19c4-7d94-4d94-9c70-a55a2cd56c99 · outbound

This paper cites Knot Invariants and Topological Strings.

The HOMFLY-PT polynomial and HZ factorisation Knot Invariants and Topological Strings

Reference 36

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unresolved
no resolver link, observed 2026-08-11T21:15:47.561823Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T21:15:47.561823Z digest=sha256:1dacad15f54ea1524eaaf71863c7429223037466bf27afef50e694a8a49d6af0

Observation 7a26be17-ddae-45a2-abd4-ce09a1fff33d · outbound

This paper cites an unresolved cited work.

The HOMFLY-PT polynomial and HZ factorisation Unresolved cited work

Reference 37

Resolution
verified exact
raw_fallback, observed 2026-08-11T21:15:47.977946Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-11T21:15:47.567126Z digest=sha256:96c17f86582b49c9ba4e182a621a34dc8ca4dd78420fea17c428e917397f2b26

Observation 3030e5af-a595-4235-bf5a-7bdf7716e21d · outbound

This paper cites Gukov, A.

The HOMFLY-PT polynomial and HZ factorisation Gukov, A

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T21:15:48.133493Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-11T21:15:47.572215Z digest=sha256:b97354e67bb232d408f1777c35b035834f9832068d3532e9a3d7a3d193ad77fb

Observation d4d6bf7d-5f52-4068-a617-f46ba0403674 · outbound

This paper cites Bouchard, B.

The HOMFLY-PT polynomial and HZ factorisation Bouchard, B

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T21:15:48.116939Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-11T21:15:47.577829Z digest=sha256:476ad91f304949e6695b3ddbcfff4feff323016614a16fe91f9fda75f062b45b

Observation b38619d4-066e-4ea6-bf7c-168de5290175 · outbound

This paper cites Br´ ezin and S.

The HOMFLY-PT polynomial and HZ factorisation Br´ ezin and S

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T21:15:48.100148Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-11T21:15:47.583013Z digest=sha256:735aa93a79e8a9d2cd21d6d5667ce5b72e3d02e8330887e4488cbab34f80e20a

Observation 38d044b6-f447-4415-8fc8-0f6ae197f01b · outbound

This paper cites Composite Invariants and Unoriented Topological String Amplitudes.

The HOMFLY-PT polynomial and HZ factorisation Composite Invariants and Unoriented Topological String Amplitudes

Reference 41

Resolution
verified exact
local_arxiv, observed 2026-08-11T21:15:47.831117Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-11T21:15:47.588602Z digest=sha256:1096d7c7f19838d7095ad0beeaf56af419cb08a14d91f4f649bae04c81aa036b

Observation 847f737c-3195-4add-b954-27e5a93fb08d · outbound

This paper cites Chern-Simons Invariants of Torus Links.

The HOMFLY-PT polynomial and HZ factorisation Chern-Simons Invariants of Torus Links

Reference 42

Resolution
unresolved
no resolver link, observed 2026-08-11T21:15:47.593687Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T21:15:47.593687Z digest=sha256:c191a3d7319fe76af21ba84dbdc7f74beeccd2d2b26a57538b0986d9160f116d

Observation 66d6273c-f711-4268-a475-af1dc9e19fff · outbound

This paper cites Torsion in Khovanov homology of semi-adequate links.

The HOMFLY-PT polynomial and HZ factorisation Torsion in Khovanov homology of semi-adequate links

Reference 43

Resolution
verified exact
local_arxiv, observed 2026-08-11T21:15:47.791913Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-11T21:15:47.598989Z digest=sha256:c8865bf4af3afa743a51474d0612ff85a5db058faaf394f8fddae464355ead66

Observation 1c0a4287-9325-4922-b26b-a59452459fd2 · outbound

This paper cites Shumakovitch, Torsion of the Khovanov homology, arXiv:0405474.

The HOMFLY-PT polynomial and HZ factorisation Shumakovitch, Torsion of the Khovanov homology, arXiv:0405474

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T21:15:48.084113Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-11T21:15:47.604370Z digest=sha256:7ebe5203d54faead5a88e2675d6cf4b29bde0217addf14d7d4c2d2125e895b46

Observation ef832ca3-efc6-4bcc-8b3a-081fcfe08ee5 · outbound

This paper cites Fivebranes and Knots.

The HOMFLY-PT polynomial and HZ factorisation Fivebranes and Knots

Reference 45

Resolution
unresolved
no resolver link, observed 2026-08-11T21:15:47.609718Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T21:15:47.609718Z digest=sha256:a8fde01e220c53f34125161dbbfdde23bebba7b6c4d3bc787435236d31c11805

Observation 0e3d33e0-d346-4856-9e0f-e9183a219870 · outbound

This paper cites Hikami, Knots from a random matrix theory with replicas, (pp.327-.

The HOMFLY-PT polynomial and HZ factorisation Hikami, Knots from a random matrix theory with replicas, (pp.327-

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T21:15:48.067915Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-11T21:15:47.615677Z digest=sha256:66303eec62ad6ea40d91ba2acf2e515567c109a17a7c6e89b13da6cecf35db33

Observation cab64a7f-acbc-42b8-acf1-44440b025b99 · outbound

This paper cites Punctures and p-spin curves from matrix models II.

The HOMFLY-PT polynomial and HZ factorisation Punctures and p-spin curves from matrix models II

Reference 47

Resolution
unresolved
no resolver link, observed 2026-08-11T21:15:47.626367Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T21:15:47.626367Z digest=sha256:6acfd5458490fba122c65fd39ba18c28a87e17ec69b72d7128f3f71bbee47db6

Observation f1d7dc00-2a0e-4aa2-a87c-1269c5e44856 · outbound

This paper cites Random super matrices with an external source.

The HOMFLY-PT polynomial and HZ factorisation Random super matrices with an external source

Reference 48

Resolution
verified exact
local_arxiv, observed 2026-08-11T21:15:47.712032Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-11T21:15:47.631944Z digest=sha256:f464ebfe34e04052721d05482b8c99093d2a8f6fa9edbeb7ee7372b709987a82

Observation a3cf7362-14d8-4e0b-863e-4f28ef3c641c · outbound

This paper cites Knots from the random matrix theory with a replica.

The HOMFLY-PT polynomial and HZ factorisation Knots from the random matrix theory with a replica

Reference 345

Resolution
verified exact
local_arxiv, observed 2026-08-11T21:15:47.752864Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-11T21:15:47.621067Z digest=sha256:7481fa2cc2885206a935e19eb32bf074d57b9970056cdb6ad4e5802c54d3fd03

Pith citing papers

Observation b20fbcdb-f0be-4b4e-bed8-4d395e7d3c53 · inbound

Braid twists and HZ factorisation via character expansion cites this paper.

Braid twists and HZ factorisation via character expansion The HOMFLY-PT polynomial and HZ factorisation

Reference 8

Resolution
verified exact
arxiv_id, observed 2026-07-16T01:22:23.483789Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-05-22T14:17:24.736704Z digest=sha256:45af532616d8e7b627ac039f33a98bec49b71c97ff8ae34b6401d4d874a2bfac

Observation 2107255d-0852-4e5c-b331-5bec4c2fd9c1 · inbound

A relation between the HOMFLY-PT and Kauffman polynomials via characters cites this paper.

A relation between the HOMFLY-PT and Kauffman polynomials via characters The HOMFLY-PT polynomial and HZ factorisation

Reference 3

Resolution
verified exact
arxiv_id, observed 2026-07-16T01:22:23.483789Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-05-15T17:28:33.059369Z digest=sha256:b89e1eccc101eea3aedafb76a7450f7343acf918bb2263cd4d99eabad12f772a