Paper Citation Record · LEDGER

Bipartite expansion beyond biparticity

As of 11 August 2026, this Paper Citation Record lists 51 of 51 outbound references and 3 inbound Pith citation observations for arXiv:2501.15467.

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

pith.paper-citation-record.v1
2501.15467 v1

Coverage vector

measured 51 of 51 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T14:22:28.149374Z

measured 54 of 54 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+00:00

measured 3 of 3 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: arxiv_reference, observed 2026-06-29T21:03:58.886239Z

Reference resolution

51 of 51 outbound references displayed

verified exact17
verified fuzzy13
unresolved21
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External citation measurements

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Outbound references

Observation 5faa2935-ea8c-4856-94ed-7ed74c73018b · outbound

This paper cites Characteristic forms and geometric invariants.

Bipartite expansion beyond biparticity Characteristic forms and geometric invariants

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-10T14:22:27.929760Z

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Observation dac011fd-135d-484e-9f1d-9fecff1c4244 · outbound

This paper cites Quantum field theory and the Jones polynomial.

Bipartite expansion beyond biparticity Quantum field theory and the Jones polynomial

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T14:22:28.948264Z

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Observation 9d4a7bdc-633f-4dc5-ad85-2b39df8b310c · outbound

This paper cites New topological invariants arising in the theory of quantized fields.

Bipartite expansion beyond biparticity New topological invariants arising in the theory of quantized fields

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T14:22:28.935347Z

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Observation b8834831-161c-4790-aba8-9975589b2dcb · outbound

This paper cites Chern-Simons Theory in the Temporal Gauge and Knot Invariants through the Universal Quantum R-Matrix.

Bipartite expansion beyond biparticity Chern-Simons Theory in the Temporal Gauge and Knot Invariants through the Universal Quantum R-Matrix

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-10T14:22:27.943653Z

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Observation 99f4d672-00ca-4bec-af3d-1fe0d69166d8 · outbound

This paper cites On R-matrix approaches to knot invariants.

Bipartite expansion beyond biparticity On R-matrix approaches to knot invariants

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-10T14:22:27.952654Z

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Observation 4bedff5f-80ae-40ea-b3b2-5f2de7ecd758 · outbound

This paper cites Feynman Integrals.

Bipartite expansion beyond biparticity Feynman Integrals

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-10T14:22:27.957252Z

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Observation bea0539a-281c-461e-8e5e-9c11a48a4288 · outbound

This paper cites Feynman integrals, toric geometry and mirror symmetry.

Bipartite expansion beyond biparticity Feynman integrals, toric geometry and mirror symmetry

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-10T14:22:27.961780Z

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Observation 9006dcf5-803a-401a-b89b-68949c0279cb · outbound

This paper cites Feynman integrals and motives.

Bipartite expansion beyond biparticity Feynman integrals and motives

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-10T14:22:27.966185Z

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Observation e89ca2ac-1152-4e42-9353-17b45e08a2d4 · outbound

This paper cites On factorization hierarchy of equations for banana Feynman amplitudes.

Bipartite expansion beyond biparticity On factorization hierarchy of equations for banana Feynman amplitudes

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-10T14:22:27.970558Z

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Observation b918f7a8-68f0-4404-ba5b-178ac48e748d · outbound

This paper cites Position space equations for generic Feynman graphs.

Bipartite expansion beyond biparticity Position space equations for generic Feynman graphs

Reference 11

Resolution: verified exact; local_arxiv, observed 2026-08-10T14:22:28.646035Z

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Observation 423b6c4f-3164-4dbd-a462-22a9b5239557 · outbound

This paper cites Infinite conformal symmetry in two-dimensional quantum field theory.

Bipartite expansion beyond biparticity Infinite conformal symmetry in two-dimensional quantum field theory

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T14:22:28.922460Z

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Observation 3bdeb067-0898-44ee-949e-113ae8107f59 · outbound

This paper cites Wess-Zumino-Witten model as a theory of free fields.

Bipartite expansion beyond biparticity Wess-Zumino-Witten model as a theory of free fields

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T14:22:28.909566Z

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Observation 25f7ef49-1d91-4757-9af6-c2fee6570e81 · outbound

This paper cites Clausthal 1989, Procs. 307-317.

Bipartite expansion beyond biparticity Clausthal 1989, Procs. 307-317

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T14:22:28.896136Z

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Observation 6fc647ea-d814-47e3-ab2a-ba1e53c31458 · outbound

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

Bipartite expansion beyond biparticity Ribbon graphs and their invaraints derived from quantum groups

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T14:22:28.883294Z

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Observation bbabc9f9-db7e-4cc8-b1d1-b2b2f57055df · outbound

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

Bipartite expansion beyond biparticity Character expansion for HOMFLY polynomials. I. Integrability and difference equations

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-10T14:22:27.993484Z

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Observation 4f0ad7ec-d57c-41ed-8ae9-59fd2c053a6b · outbound

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

Bipartite expansion beyond biparticity Character expansion for HOMFLY polynomials. II. Fundamental representation. Up to five strands in braid

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-10T14:22:27.997276Z

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Observation fa931b6f-c600-4479-9abb-13db154dfb75 · outbound

This paper cites Cabling procedure for the colored HOMFLY polynomials.

Bipartite expansion beyond biparticity Cabling procedure for the colored HOMFLY polynomials

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-10T14:22:28.001565Z

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Observation 72674ba4-bcb1-40d4-81a8-8dfe4592932d · outbound

This paper cites Tangle blocks in the theory of link invariants.

Bipartite expansion beyond biparticity Tangle blocks in the theory of link invariants

Reference 19

Resolution: verified exact; local_arxiv, observed 2026-08-10T14:22:28.586555Z

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Observation 0aa5f4fc-6578-4595-b2e1-b231926e89a5 · outbound

This paper cites State models and the Jones polynomial.

Bipartite expansion beyond biparticity State models and the Jones polynomial

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T14:22:28.869846Z

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Observation 083d9064-0ab3-468d-a8c4-98f98bd4c948 · outbound

This paper cites A categorification of the Jones polynomial.

Bipartite expansion beyond biparticity A categorification of the Jones polynomial

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-10T14:22:28.018671Z

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Observation d63f518d-ca4b-4f28-bfb3-e5e7125092e0 · outbound

This paper cites Matrix factorizations and link homology.

Bipartite expansion beyond biparticity Matrix factorizations and link homology

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-10T14:22:28.022993Z

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Observation e778c4c4-1f63-45cd-af30-7a8a1a00f8cb · outbound

This paper cites Matrix factorizations and link homology II.

Bipartite expansion beyond biparticity Matrix factorizations and link homology II

Reference 24

Resolution: verified exact; local_arxiv, observed 2026-08-10T14:22:28.520294Z

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Observation 0148db2f-214e-463b-8637-e4d90bc46003 · outbound

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

Bipartite expansion beyond biparticity Introduction to Khovanov Homologies. I. Unreduced Jones superpolynomial

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-10T14:22:28.031836Z

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Observation 70a1a9e1-427a-4236-9096-3d62f6b980ea · outbound

This paper cites Introduction to Khovanov Homologies. II. Reduced Jones superpolynomials.

Bipartite expansion beyond biparticity Introduction to Khovanov Homologies. II. Reduced Jones superpolynomials

Reference 26

Resolution: verified exact; local_arxiv, observed 2026-08-10T14:22:28.487952Z

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Observation 95963022-aee5-4e78-bb38-3f68fdbb41b7 · outbound

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

Bipartite expansion beyond biparticity Introduction to Khovanov homologies. III. A new and simple tensor-algebra construction of Khovanov–Rozansky invariants

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T14:22:28.855979Z

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Observation 2900dd67-cd1f-4524-a8ae-cee41cb336d2 · outbound

This paper cites Are Khovanov-Rozansky polynomials consistent with evolution in the space of knots?.

Bipartite expansion beyond biparticity Are Khovanov-Rozansky polynomials consistent with evolution in the space of knots?

Reference 28

Resolution: verified exact; local_arxiv, observed 2026-08-10T14:22:28.468945Z

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Observation 746e6f46-375c-4f8c-87ae-caf5f8bccd05 · outbound

This paper cites Nimble evolution for pretzel Khovanov polynomials.

Bipartite expansion beyond biparticity Nimble evolution for pretzel Khovanov polynomials

Reference 29

Resolution: verified exact; local_arxiv, observed 2026-08-10T14:22:28.450323Z

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Observation 7cd0dd82-347c-4471-babb-68e7cfa211df · outbound

This paper cites Khovanov polynomials for satellites and asymptotic adjoint polynomials.

Bipartite expansion beyond biparticity Khovanov polynomials for satellites and asymptotic adjoint polynomials

Reference 30

Resolution: verified exact; local_arxiv, observed 2026-08-10T14:22:28.430426Z

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Observation a4625193-cbbe-4df1-acc0-c1f49412826d · outbound

This paper cites Towards tangle calculus for Khovanov polynomials.

Bipartite expansion beyond biparticity Towards tangle calculus for Khovanov polynomials

Reference 31

Resolution: verified exact; local_arxiv, observed 2026-08-10T14:22:28.411175Z

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Observation 69df6661-1d25-4389-81d9-ff75a7415890 · outbound

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

Bipartite expansion beyond biparticity Planar decomposition of the HOMFLY polynomial for bipartite knots and links

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-10T14:22:28.061683Z

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Observation 7864638d-062c-43a4-9357-dd255a110954 · outbound

This paper cites Bipartite knots.

Bipartite expansion beyond biparticity Bipartite knots

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-10T14:22:28.066176Z

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Observation 3e6c60fa-79d0-4816-98f9-9a04e657d4b6 · outbound

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

Bipartite expansion beyond biparticity Planar decomposition of bipartite HOMFLY polynomials in symmetric representations

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-10T14:22:28.070554Z

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Observation 5f97afd8-0a71-43ab-8fe6-2eefca9448aa · outbound

This paper cites A computation in Khovanov-Rozansky Homology.

Bipartite expansion beyond biparticity A computation in Khovanov-Rozansky Homology

Reference 35

Resolution: verified exact; local_arxiv, observed 2026-08-10T14:22:28.351462Z

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Observation b5b923e1-59b8-41f6-8e5c-24b1a019fb6f · outbound

This paper cites Knots whose braided satellite have the same HOMFLY polynomial up to given $z$-degrees.

Bipartite expansion beyond biparticity Knots whose braided satellite have the same HOMFLY polynomial up to given $z$-degrees

Reference 36

Resolution: verified exact; local_arxiv, observed 2026-08-10T14:22:28.332251Z

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Observation efa84738-e6d9-4c24-bb90-1c74d550c0b6 · outbound

This paper cites HOMFLY and superpolynomials for figure eight knot in all symmetric and antisymmetric representations.

Bipartite expansion beyond biparticity HOMFLY and superpolynomials for figure eight knot in all symmetric and antisymmetric representations

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-10T14:22:28.082870Z

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Observation 0c93845f-9ed0-4858-82a2-80166a5f2c8f · outbound

This paper cites Factorization of differential expansion for antiparallel double-braid knots.

Bipartite expansion beyond biparticity Factorization of differential expansion for antiparallel double-braid knots

Reference 39

Resolution: verified exact; local_arxiv, observed 2026-08-10T14:22:28.567075Z

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Observation a2f79993-dfbd-4024-adfd-5e32c54a36ad · outbound

This paper cites On rectangular HOMFLY for twist knots.

Bipartite expansion beyond biparticity On rectangular HOMFLY for twist knots

Reference 40

Resolution: verified exact; local_arxiv, observed 2026-08-10T14:22:28.298379Z

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Observation d1c7ba8e-ee93-4822-9e09-a0d21305967b · outbound

This paper cites Factorization of differential expansion for non-rectangular representations.

Bipartite expansion beyond biparticity Factorization of differential expansion for non-rectangular representations

Reference 41

Resolution: verified exact; local_arxiv, observed 2026-08-10T14:22:28.280202Z

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Observation ab12c391-94f9-4577-9596-bc80af3c801f · outbound

This paper cites Extension of KNTZ trick to non-rectangular representations.

Bipartite expansion beyond biparticity Extension of KNTZ trick to non-rectangular representations

Reference 42

Resolution: verified exact; local_arxiv, observed 2026-08-10T14:22:28.260851Z

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Observation 98ce4c2c-c69c-4247-b83f-7e1593ce28a0 · outbound

This paper cites KNTZ trick from arborescent calculus and the structure of differential expansion.

Bipartite expansion beyond biparticity KNTZ trick from arborescent calculus and the structure of differential expansion

Reference 43

Resolution: verified exact; local_arxiv, observed 2026-08-10T14:22:28.241707Z

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Observation cd6a714f-15cc-4ab9-8bf4-dcf13519ee07 · outbound

This paper cites Perspectives of differential expansion.

Bipartite expansion beyond biparticity Perspectives of differential expansion

Reference 44

Resolution: unresolved; no resolver link, observed 2026-08-10T14:22:28.107568Z

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Unavailable: canonical work link unavailable.

Observation 5e0b83ec-0bfc-4648-a02e-46b0e8bb7a94 · outbound

This paper cites Differential Expansion for antiparallel triple pretzels: the way the factorization is deformed.

Bipartite expansion beyond biparticity Differential Expansion for antiparallel triple pretzels: the way the factorization is deformed

Reference 45

Resolution: verified exact; local_arxiv, observed 2026-08-10T14:22:28.208921Z

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 8120f2d6-920a-405f-b687-de3e8a1b0c69 · outbound

This paper cites Seifert circles and knot polynomials.

Bipartite expansion beyond biparticity Seifert circles and knot polynomials

Reference 46

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T14:22:28.842319Z

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Observation f11ae7f8-4458-410c-81ed-313c276ffaa4 · outbound

This paper cites Polynomials from braids.

Bipartite expansion beyond biparticity Polynomials from braids

Reference 47

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T14:22:28.829034Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 50b8b5db-6148-4dcd-8ac5-df0e5b2d0fe1 · outbound

This paper cites Braids and the Jones polynomial.

Bipartite expansion beyond biparticity Braids and the Jones polynomial

Reference 48

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T14:22:28.814898Z

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 27845c9f-f8fe-4679-9854-7f03d587b5f4 · outbound

This paper cites Carrick mat and further development of bipartite knots.

Bipartite expansion beyond biparticity Carrick mat and further development of bipartite knots

Reference 49

Resolution: verified exact; local_arxiv, observed 2026-08-10T14:22:28.189529Z

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Observation 1b3695d3-a94d-4b14-a0d8-163ef48cbd1e · outbound

This paper cites A formula for the HOMFLY polynomial of rational links.

Bipartite expansion beyond biparticity A formula for the HOMFLY polynomial of rational links

Reference 50

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T14:22:28.800586Z

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Observation 73f32023-bea3-49ea-b217-90d25fe2f894 · outbound

This paper cites an unresolved cited work.

Bipartite expansion beyond biparticity Unresolved cited work

Reference 51

Resolution: unresolved; raw_fallback, observed 2026-08-10T14:22:28.786874Z

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Observation 49c52b84-9a47-413b-9a2e-e60bd4b0ae82 · outbound

This paper cites Anokhina et al.

Bipartite expansion beyond biparticity Anokhina et al

Reference 52

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T14:22:28.773557Z

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Observation 56a82b14-f759-486d-9021-0614a5ca0418 · outbound

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Bipartite expansion beyond biparticity Unresolved cited work

Reference 53

Resolution: unresolved; raw_fallback, observed 2026-08-10T14:22:28.760002Z

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Observation 476fd4ba-a424-453e-bbee-d2a8ed2fa368 · outbound

This paper cites an unresolved cited work.

Bipartite expansion beyond biparticity Unresolved cited work

Reference 54

Resolution: unresolved; raw_fallback, observed 2026-08-10T14:22:28.745723Z

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Pith citing papers

Observation 505ad70b-a1d4-40a7-9b8c-abb5f484a040 · inbound

Analogue of Goeritz matrices for computation of bipartite HOMFLY-PT polynomials cites this paper.

Analogue of Goeritz matrices for computation of bipartite HOMFLY-PT polynomials Bipartite expansion beyond biparticity

Reference 23

Resolution: verified exact; arxiv_id, observed 2026-05-19T05:57:08.310826Z

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

Reductions in Khovanov-Rozansky operator formalism cites this paper.

Reductions in Khovanov-Rozansky operator formalism Bipartite expansion beyond biparticity

Reference 25

Resolution: verified exact; arxiv_id, observed 2026-05-11T16:16:11.422494Z

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Observation fc08316f-2324-4d29-886a-55e2a8697681 · inbound

Khovanov complexes for bipartite links cites this paper.

Khovanov complexes for bipartite links Bipartite expansion beyond biparticity

Reference 3

Resolution: verified exact; arxiv_id, observed 2026-06-29T21:03:58.888019Z

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.