Pith. sign in

Paper Citation Record · LEDGER

Reductions in Khovanov-Rozansky operator formalism

As of 5 August 2026, this Paper Citation Record lists 32 of 32 outbound references and 1 inbound Pith citation observation for arXiv:2605.01584.

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

pith.paper-citation-record.v1
2605.01584 v1

Coverage vector

measured 32 of 32 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-09T17:57:21.409745Z

measured 33 of 33 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-05T06:32:48.257954+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-06-29T20:45:52.664594Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-06-29T21:03:58.895430Z

Reference resolution

32 of 32 outbound references displayed

  • verified exact16
  • verified fuzzy15
  • unresolved0
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  • malformed identifier0
  • metadata mismatch1

External citation measurements

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Outbound references

Observation 86036d54-0fbd-4a17-a029-a3e1d9f3eab4 · outbound

This paper cites Operator lift of the Reshetikhin-Turaev formalism to Khovanov- Rozansky topological quantum field theory.

Reductions in Khovanov-Rozansky operator formalism Operator lift of the Reshetikhin-Turaev formalism to Khovanov- Rozansky topological quantum field theory

Reference 1

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raw_fallback, observed 2026-05-25T23:47:13.653484Z

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No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

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Observation 2eb322cb-acf9-4bcf-9460-8b9d5b705974 · outbound

This paper cites Anokhina, E.

Reductions in Khovanov-Rozansky operator formalism Anokhina, E

Reference 2

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arxiv_id, observed 2026-05-11T16:16:11.443147Z

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Observation 898c399b-e391-4982-9178-5d3448bc3f7f · outbound

This paper cites Knot Homology from Refined Chern-Simons Theory.

Reductions in Khovanov-Rozansky operator formalism Knot Homology from Refined Chern-Simons Theory

Reference 3

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arxiv_id, observed 2026-05-11T16:16:11.467746Z

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No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-09T17:57:21.409745Z digest=sha256:7ad57137ca25890dceb5435221cec0bed07268ef21d25c8e2717b248bc6dfceb

Observation 029c81e3-309b-4edc-881f-4f453996ec8e · outbound

This paper cites Khovanov-Rozansky Homology and Topological Strings.

Reductions in Khovanov-Rozansky operator formalism Khovanov-Rozansky Homology and Topological Strings

Reference 4

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arxiv_id, observed 2026-07-04T16:49:08.318321Z

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No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-09T17:57:21.409745Z digest=sha256:4fc55dd5ca0cb34dbac78d346cdca773a119a638924a777569e194cf06965c09

Observation 78db0205-62ad-4dee-b9b7-12abf7e3fa8e · outbound

This paper cites Fivebranes and knots.

Reductions in Khovanov-Rozansky operator formalism Fivebranes and knots

Reference 5

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raw_fallback, observed 2026-05-25T23:47:13.660619Z

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No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-09T17:57:21.409745Z digest=sha256:9f00473e5a130dc361c303ff23d9451510d7b681189533e9a5afce7dcdeded88

Observation 3b9d0cb0-87ad-47cd-be7b-c51925105fed · outbound

This paper cites Khovanov Homology And Gauge Theory.

Reductions in Khovanov-Rozansky operator formalism Khovanov Homology And Gauge Theory

Reference 6

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arxiv_id, observed 2026-07-04T18:15:12.907220Z

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source=pdf_text observed=2026-05-09T17:57:21.409745Z digest=sha256:f6656327641d13e4039cb9ab71403c6f0ac88b8d49123b8d06b2b2e29cf599b7

Observation 4089431f-a051-4632-baff-43be5d999f16 · outbound

This paper cites Knot Invariants from Four-Dimensional Gauge Theory.

Reductions in Khovanov-Rozansky operator formalism Knot Invariants from Four-Dimensional Gauge Theory

Reference 7

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arxiv_id, observed 2026-05-11T16:16:11.451450Z

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source=pdf_text observed=2026-05-09T17:57:21.409745Z digest=sha256:0edb9ac44eff51fc97536259260f810074a48489d1c12c4c9e877e599d3a93d0

Observation 4fad7dd6-ad58-4d4c-a2a9-254657fd9c45 · outbound

This paper cites The Jones polynomial.

Reductions in Khovanov-Rozansky operator formalism The Jones polynomial

Reference 8

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raw_fallback, observed 2026-05-25T23:47:13.640397Z

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source=pdf_text observed=2026-05-09T17:57:21.409745Z digest=sha256:c73451c47faa8b15464487628934169b994de9a8a0d2a88f074a95c23451b84e

Observation a0ea383c-c5b2-487f-bb02-1febd3a52d23 · outbound

This paper cites Hecke algebra representations of braid groups and link polynomials.

Reductions in Khovanov-Rozansky operator formalism Hecke algebra representations of braid groups and link polynomials

Reference 9

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source=pdf_text observed=2026-05-09T17:57:21.409745Z digest=sha256:2c70ccb6d1abf869081f913da90b36253d6286081115f5aeb4af37973ad1702f

Observation 7676dd4a-7c13-4151-8d43-7b0edc081d80 · outbound

This paper cites A polynomial invariant for knots via von Neumann algebras.

Reductions in Khovanov-Rozansky operator formalism A polynomial invariant for knots via von Neumann algebras

Reference 10

Resolution
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raw_fallback, observed 2026-05-25T23:47:13.645121Z

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No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-09T17:57:21.409745Z digest=sha256:a0e68a10c68fd46489f2fa33680b228c564b8f34d3b8eaf4c96044520b7ec53f

Observation c066a61d-069b-427d-a1ef-554ceb0956f2 · outbound

This paper cites Characteristic forms and geometric invariants.

Reductions in Khovanov-Rozansky operator formalism Characteristic forms and geometric invariants

Reference 11

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No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-09T17:57:21.409745Z digest=sha256:bbd013534fd14335710c203735755e411ed9719ec060cfd64065be6f61606544

Observation 97b615b2-4b1b-49b6-88b7-74cc23759fe0 · outbound

This paper cites Quantum field theory and the Jones polynomial.

Reductions in Khovanov-Rozansky operator formalism Quantum field theory and the Jones polynomial

Reference 12

Resolution
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source=pdf_text observed=2026-05-09T17:57:21.409745Z digest=sha256:dadc10da10028d6ffc9266901db2c5f7bca04325206950c63562a34d07ab5923

Observation 2545894b-aae6-4f06-81c4-6c8164cc50fb · outbound

This paper cites Invariants of tangles 1.

Reductions in Khovanov-Rozansky operator formalism Invariants of tangles 1

Reference 13

Resolution
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raw_fallback, observed 2026-05-25T23:47:13.663605Z

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No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-09T17:57:21.409745Z digest=sha256:56cb5578164250bdfbf99679c5e33596b077acb1e79a46b30b7d733ec12fbbd6

Observation a26484e1-3098-4538-9849-239dc1d8f71e · outbound

This paper cites Chern–Simons holonomies and the appearance of quan- tum groups.

Reductions in Khovanov-Rozansky operator formalism Chern–Simons holonomies and the appearance of quan- tum groups

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-05-25T23:47:13.637216Z

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No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-09T17:57:21.409745Z digest=sha256:4b465755cc59e8cb71bd5c7aa0e6797d2a386a447a09934ee0cbe4e3d8543f2d

Observation b6273c3b-39a4-48da-aafd-79957eaee919 · outbound

This paper cites Ribbon graphs and their invaraints derived from quantum groups.

Reductions in Khovanov-Rozansky operator formalism Ribbon graphs and their invaraints derived from quantum groups

Reference 15

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raw_fallback, observed 2026-05-25T23:47:13.671003Z

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No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-09T17:57:21.409745Z digest=sha256:43a6f68f99e31192e8438a5d9ea79d9e79c480a476470ac7bda9ec35dd005a02

Observation 90b481f8-f611-4b21-b72b-4f3f59bad4e6 · outbound

This paper cites The Yang–Baxter equation and invariants of links.

Reductions in Khovanov-Rozansky operator formalism The Yang–Baxter equation and invariants of links

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-05-25T23:47:13.629765Z

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No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-09T17:57:21.409745Z digest=sha256:f468cebd851c99d5c9956ba021923b74c96cc8ed72f1a43e39d9b84fae2d1e5d

Observation 6b15f2ac-d0f7-4ba5-a198-891c905d406f · outbound

This paper cites Invariants of 3-manifolds via link polynomials and quantum groups.

Reductions in Khovanov-Rozansky operator formalism Invariants of 3-manifolds via link polynomials and quantum groups

Reference 17

Resolution
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raw_fallback, observed 2026-05-25T23:47:13.633586Z

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No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-09T17:57:21.409745Z digest=sha256:72b3b39cc32868e5e58aa91c0232f1436d80f0f3446b79c1473a3ee13f7ecd39

Observation c522605d-064f-43f1-86f3-22a82a38e758 · outbound

This paper cites State models and the Jones polynomial.

Reductions in Khovanov-Rozansky operator formalism State models and the Jones polynomial

Reference 18

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raw_fallback, observed 2026-05-25T23:47:13.675264Z

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No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-09T17:57:21.409745Z digest=sha256:35bd1f036761be2fb02775dd85a4e6b78f7e3a23a1b3d892d769f661ce935cf3

Observation 49d974a8-eab6-48d0-9763-4faaa192720e · outbound

This paper cites Introduction to Khovanov Homologies. I. Unreduced Jones superpolynomial.

Reductions in Khovanov-Rozansky operator formalism Introduction to Khovanov Homologies. I. Unreduced Jones superpolynomial

Reference 19

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arxiv_id, observed 2026-05-11T16:16:11.486590Z

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No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-09T17:57:21.409745Z digest=sha256:e7657b06546ab78d07e373a923e755a45b4c123eab337bd159c22a15cf3edd76

Observation f01dbe44-b0ee-41d5-9dc1-39ee48ccb5f8 · outbound

This paper cites A new polynomial invariant of knots and links.

Reductions in Khovanov-Rozansky operator formalism A new polynomial invariant of knots and links

Reference 20

Resolution
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raw_fallback, observed 2026-05-25T23:47:13.667109Z

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No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-09T17:57:21.409745Z digest=sha256:a88170843c0a607859fa05fe85fda81ba71cb9596c0aaaf9f213d0981369390e

Observation a7c24a85-96bf-44db-bc55-3ff223cc6ebe · outbound

This paper cites Invariants of links of Conway type.

Reductions in Khovanov-Rozansky operator formalism Invariants of links of Conway type

Reference 21

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arxiv_id, observed 2026-05-11T16:16:11.382360Z

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source=pdf_text observed=2026-05-09T17:57:21.409745Z digest=sha256:f9f75662d0806d346d311de1c9c837bb9a9a0381279c4f4eb68fc7a0da04137f

Observation cfbff521-74b3-44ad-82e9-4ea9263aab8f · outbound

This paper cites HOMFLY polynomial via an invariant of colored plane graphs.

Reductions in Khovanov-Rozansky operator formalism HOMFLY polynomial via an invariant of colored plane graphs

Reference 22

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raw_fallback, observed 2026-05-25T23:47:13.624733Z

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source=pdf_text observed=2026-05-09T17:57:21.409745Z digest=sha256:cc311939d49f9a8264e722686c522424ed452d2c39c3b0c745757c0c6b810cdb

Observation 66113100-2a41-4b8a-b190-fbec3817f5ff · outbound

This paper cites Planar decomposition of the HOMFLY polynomial for bipartite knots and links.

Reductions in Khovanov-Rozansky operator formalism Planar decomposition of the HOMFLY polynomial for bipartite knots and links

Reference 23

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arxiv_id, observed 2026-05-11T16:16:11.317206Z

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No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-09T17:57:21.409745Z digest=sha256:69c4e62aea68f43625742b369b07a8d4c7879d07b3d3d0ec4980b69768978a79

Observation 5ed9e607-6ca4-41f3-a39c-400ebdbd2750 · outbound

This paper cites Planar decomposition of bipartite HOMFLY polynomials in symmetric representations.

Reductions in Khovanov-Rozansky operator formalism Planar decomposition of bipartite HOMFLY polynomials in symmetric representations

Reference 24

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arxiv_id, observed 2026-05-11T16:16:11.406344Z

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No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-09T17:57:21.409745Z digest=sha256:da414077d91a0c670392267984c065a719ef6a04216d0d735a4fec272b203965

Observation 316f024d-28c4-4c7a-8463-de62262428eb · outbound

This paper cites Bipartite expansion beyond biparticity.

Reductions in Khovanov-Rozansky operator formalism Bipartite expansion beyond biparticity

Reference 25

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arxiv_id, observed 2026-05-11T16:16:11.422494Z

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No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-09T17:57:21.409745Z digest=sha256:d93dd681268e281129d00346e93665d134c95151b648c74de5075ad9cdb53785

Observation f2ccf46a-70a6-4c2e-8ccb-7bdd4d2fe2d4 · outbound

This paper cites A categorification of the Jones polynomial.

Reductions in Khovanov-Rozansky operator formalism A categorification of the Jones polynomial

Reference 26

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verified exact
arxiv_id, observed 2026-05-11T16:16:11.428441Z

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No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-09T17:57:21.409745Z digest=sha256:904f95a0d3bc26449ba5cb3b8edf413e74196d0e833e053c2cba8eae163c587b

Observation 656d3e0d-39f4-4602-8112-aec35d15eeb8 · outbound

This paper cites Matrix factorizations and link homology.

Reductions in Khovanov-Rozansky operator formalism Matrix factorizations and link homology

Reference 27

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verified exact
arxiv_id, observed 2026-07-04T14:38:10.558624Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-09T17:57:21.409745Z digest=sha256:9efdf59b8e698a6dc1838a70647473dec1de41d0d1c78b3da26b903f7c6eaf41

Observation a8870c02-c460-4ab7-99c7-98289d65e768 · outbound

This paper cites Character expansion for HOMFLY polynomials. I. Integrability and difference equations.

Reductions in Khovanov-Rozansky operator formalism Character expansion for HOMFLY polynomials. I. Integrability and difference equations

Reference 28

Resolution
verified exact
arxiv_id, observed 2026-05-11T16:16:11.393211Z

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No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-09T17:57:21.409745Z digest=sha256:8b688ac656500a42db27c0495990e51f05f6ea51a58246c41fe2739ff400556d

Observation 2d5df400-dfc9-4271-be99-490ccd435716 · outbound

This paper cites Character expansion for HOMFLY polynomials. II. Fundamental representation. Up to five strands in braid.

Reductions in Khovanov-Rozansky operator formalism Character expansion for HOMFLY polynomials. II. Fundamental representation. Up to five strands in braid

Reference 29

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arxiv_id, observed 2026-05-11T16:16:11.437150Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-09T17:57:21.409745Z digest=sha256:2b729709240aa875c1e78dd0aa66a0059e3bdbb76abee300cd1ef8fce043cfc0

Observation 9a4640a5-41e0-42a9-99d3-1330ba54b034 · outbound

This paper cites Introduction to Khovanov Homologies. III. A new and simple tensor-algebra construction of Khovanov-Rozansky invariants.

Reductions in Khovanov-Rozansky operator formalism Introduction to Khovanov Homologies. III. A new and simple tensor-algebra construction of Khovanov-Rozansky invariants

Reference 30

Resolution
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arxiv_id, observed 2026-07-04T20:10:05.234231Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-09T17:57:21.409745Z digest=sha256:8d87c5b5b9c36fc1b447e844f10a82568a69bc6da89a20e1c53a3a58bc7fb094

Observation f8efea62-2e31-4c86-a942-25215cc107fd · outbound

This paper cites Towards R-matrix construction of Khovanov-Rozansky polynomials. I. Primary $T$-deformation of HOMFLY.

Reductions in Khovanov-Rozansky operator formalism Towards R-matrix construction of Khovanov-Rozansky polynomials. I. Primary $T$-deformation of HOMFLY

Reference 31

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arxiv_id, observed 2026-07-04T19:06:31.050749Z

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No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-09T17:57:21.409745Z digest=sha256:df05c5c0d9064dd6cc88714518797cd3cba9fa1fc4f2582cda28d3038118a5c9

Observation 2576183e-e306-4521-8dd4-b2d3bb63b3bc · outbound

This paper cites Computing Khovanov-Rozansky homology and defect fusion.

Reductions in Khovanov-Rozansky operator formalism Computing Khovanov-Rozansky homology and defect fusion

Reference 32

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arxiv_id, observed 2026-07-04T19:05:11.735910Z

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No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-09T17:57:21.409745Z digest=sha256:80274a479eff5d57fef1223be9cbc10be5979e05ebf2e16ccc0051673b2a8520

Pith citing papers

Observation 0272163e-287f-452f-a687-f7b282469c0f · inbound

Khovanov complexes for bipartite links cites this paper.

Khovanov complexes for bipartite links Reductions in Khovanov-Rozansky operator formalism

Reference 7

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local_arxiv, observed 2026-06-29T21:03:58.896693Z

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No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-06-29T20:45:52.664594Z digest=sha256:49d8999edb5151a4afef1f8a6404102c8da7d05eee9fb4af4968fd1d43efc1fa