Paper Citation Record · LEDGER

Generalized Markov traces and Jucys-Murphy elements

As of 16 August 2026, this Paper Citation Record lists 20 of 20 outbound references and 0 inbound Pith citation observations for arXiv:2507.19896.

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

pith.paper-citation-record.v1
2507.19896 v1

Coverage vector

measured 20 of 20 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T14:01:36.334033Z

measured 20 of 20 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+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

20 of 20 outbound references displayed

verified exact2
verified fuzzy15
unresolved2
parse uncertain0
malformed identifier1
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 01f82ef5-4710-4488-a033-823db1ba2d16 · outbound

This paper cites Tilting exercises.

Generalized Markov traces and Jucys-Murphy elements Tilting exercises

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T14:01:39.947188Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 992b1113-e62e-4929-9233-0d118df2ead2 · outbound

This paper cites Monodromic model for Khovanov -- Rozansky homology.

Generalized Markov traces and Jucys-Murphy elements Monodromic model for Khovanov -- Rozansky homology

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T14:01:39.732096Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 79214622-6544-4bf8-9499-934f2f47b6a3 · outbound

This paper cites Trace functions on Iwahori-Hecke algebras.

Generalized Markov traces and Jucys-Murphy elements Trace functions on Iwahori-Hecke algebras

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T14:01:39.548740Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation f5adc572-5c35-4fba-8772-9e8121110bd6 · outbound

This paper cites Serre duality for Khovanov -- Rozansky homology.

Generalized Markov traces and Jucys-Murphy elements Serre duality for Khovanov -- Rozansky homology

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T14:01:39.416656Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 90d3d079-aa95-4686-a256-d8b4cde4a855 · outbound

This paper cites Markov traces and knot invariants related to I wahori- H ecke algebras of type B.

Generalized Markov traces and Jucys-Murphy elements Markov traces and knot invariants related to I wahori- H ecke algebras of type B

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T14:01:39.251585Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation a1bf3990-08be-4344-b9a2-c12cd998796f · outbound

This paper cites Flag Hilbert schemes, colored projectors and Khovanov-Rozansky homology.

Generalized Markov traces and Jucys-Murphy elements Flag Hilbert schemes, colored projectors and Khovanov-Rozansky homology

Reference 6

Resolution: verified exact; local_arxiv, observed 2026-08-06T14:01:37.030640Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 66e415c2-5d43-49ad-b594-41d331796152 · outbound

This paper cites The markov traces and the fourier transforms.

Generalized Markov traces and Jucys-Murphy elements The markov traces and the fourier transforms

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T14:01:39.039256Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 0a4acbb8-b9da-42db-a53d-f72c3f9f817d · outbound

This paper cites Characters of finite C oxeter groups and I wahori- H ecke algebras.

Generalized Markov traces and Jucys-Murphy elements Characters of finite C oxeter groups and I wahori- H ecke algebras

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T14:01:38.874992Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation d3e6591e-c12f-4ec5-8679-1c824ee6845c · outbound

This paper cites Ho and Penghui Li.

Generalized Markov traces and Jucys-Murphy elements Ho and Penghui Li

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-06T14:01:35.496727Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7b0c063b-dbbd-4bc0-9c2e-4d3a9352bfc9 · outbound

This paper cites an unresolved cited work.

Generalized Markov traces and Jucys-Murphy elements Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-06T14:01:38.690580Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 203c1e4a-fa50-494b-a895-5cccdcb6b64c · outbound

This paper cites Meridian twisting of closed braids and the Homfly polynomial.

Generalized Markov traces and Jucys-Murphy elements Meridian twisting of closed braids and the Homfly polynomial

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T14:01:38.494050Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation d418242d-26e8-4162-8726-910ec157958e · outbound

This paper cites Triply-graded link homology and Hochschild homology of Soergel bimodules.

Generalized Markov traces and Jucys-Murphy elements Triply-graded link homology and Hochschild homology of Soergel bimodules

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T14:01:38.267054Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation b2b48597-bc55-48e5-8caf-5c461bb5ac39 · outbound

This paper cites Solid torus links and hecke algebras of b-type.

Generalized Markov traces and Jucys-Murphy elements Solid torus links and hecke algebras of b-type

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T14:01:38.089409Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 9bff0d77-997b-48ca-9407-bf66afe9f0ff · outbound

This paper cites Singularities, character formulas, and a q-analog of weight multiplicities.

Generalized Markov traces and Jucys-Murphy elements Singularities, character formulas, and a q-analog of weight multiplicities

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T14:01:37.923175Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation dff0c8b0-a0ae-40c4-8708-8ff09f1a0ef5 · outbound

This paper cites Affine braid group , JM elements and knot homology.

Generalized Markov traces and Jucys-Murphy elements Affine braid group , JM elements and knot homology

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T14:01:37.725535Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation b2aba77b-8bab-4e51-8804-b6f5422f6ca4 · outbound

This paper cites Seminormal representations of weyl groups and iwahori-hecke algebras.

Generalized Markov traces and Jucys-Murphy elements Seminormal representations of weyl groups and iwahori-hecke algebras

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T14:01:37.620126Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 23f66bf9-bc70-4520-bdfa-0bf66d4b95a7 · outbound

This paper cites Affine H ecke A lgebras, C yclotomic H ecke A lgebras and C lifford T heory.

Generalized Markov traces and Jucys-Murphy elements Affine H ecke A lgebras, C yclotomic H ecke A lgebras and C lifford T heory

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T14:01:37.545896Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation f02635b4-19d3-4edd-81e9-d5d05d2e205d · outbound

This paper cites S ageMath, the S age M athematics S oftware S ystem ( V ersion 10.6) , 2025.

Generalized Markov traces and Jucys-Murphy elements S ageMath, the S age M athematics S oftware S ystem ( V ersion 10.6) , 2025

Reference 18

Resolution: malformed identifier; raw_fallback, observed 2026-08-06T14:01:37.396275Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 653b2527-1f96-463f-a956-798fe2697485 · outbound

This paper cites Linear structure on a finite H ecke category in type A.

Generalized Markov traces and Jucys-Murphy elements Linear structure on a finite H ecke category in type A

Reference 19

Resolution: verified exact; raw_fallback, observed 2026-08-06T14:01:36.729137Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 8c6b7ed6-f4cc-4c18-bdda-de0b811d1a6f · outbound

This paper cites The geometry of Markov traces.

Generalized Markov traces and Jucys-Murphy elements The geometry of Markov traces

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T14:01:37.218135Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Pith citing papers

No inbound Pith citation observations are available.