Paper Citation Record · LEDGER

Generalized chord diagrams and weight systems

As of 18 August 2026, this Paper Citation Record lists 24 of 24 outbound references and 1 inbound Pith citation observation for arXiv:2505.24491.

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

pith.paper-citation-record.v1
2505.24491 v1

Coverage vector

measured 24 of 24 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T12:29:20.184722Z

measured 25 of 25 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T19:14:26.370833Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-15T19:14:26.469216Z

Reference resolution

24 of 24 outbound references displayed

verified exact5
verified fuzzy15
unresolved4
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation b5f34db6-a424-4b83-84ec-2a02a078222f · outbound

This paper cites Bar-Natan,On the Vassiliev knot invariants, Topology, 1995,34, 423–472.

Generalized chord diagrams and weight systems Bar-Natan,On the Vassiliev knot invariants, Topology, 1995,34, 423–472

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:29:27.148710Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation ff60fb0f-aaec-44d5-9dc5-996cc31362ed · outbound

This paper cites Chmutov, S.

Generalized chord diagrams and weight systems Chmutov, S

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:29:26.970123Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 96d8b7c5-9eaf-4ec6-943a-a033f13d4644 · outbound

This paper cites Chmutov, M.

Generalized chord diagrams and weight systems Chmutov, M

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:29:26.681069Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation ef87f56a-f9c2-4758-a3b2-df9bcfd98969 · outbound

This paper cites анализ и его прил., 2007, 41:3, 48–59.

Generalized chord diagrams and weight systems анализ и его прил., 2007, 41:3, 48–59

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:29:26.392029Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 651faa86-3d51-4102-966b-e4a51bfabd5d · outbound

This paper cites 1 (1974), 107–112.

Generalized chord diagrams and weight systems 1 (1974), 107–112

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:29:26.120502Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 800f7408-3ff7-4a1a-a5e9-430ddd34bfb4 · outbound

This paper cites an unresolved cited work.

Generalized chord diagrams and weight systems Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:29:25.889816Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation ae6eb3cf-2f6e-4556-b429-1ef7e948ef10 · outbound

This paper cites The universal ${\mathfrak gl}$-weight system and the chromatic polynomial.

Generalized chord diagrams and weight systems The universal ${\mathfrak gl}$-weight system and the chromatic polynomial

Reference 7

Resolution: verified exact; local_arxiv, observed 2026-08-07T12:29:21.994789Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation f8b4431b-487d-4d05-aadb-ecc760f60957 · outbound

This paper cites Kazarian, S.

Generalized chord diagrams and weight systems Kazarian, S

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:29:25.564827Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 685bad8d-a85b-4f0a-ad5d-c39108c208c1 · outbound

This paper cites Kazarian, S.

Generalized chord diagrams and weight systems Kazarian, S

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:29:25.254828Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 034b9363-0644-43a0-8ca5-22dbbf2cc7a9 · outbound

This paper cites Universal Polynomial $\mathfrak{so}$ Weight System.

Generalized chord diagrams and weight systems Universal Polynomial $\mathfrak{so}$ Weight System

Reference 10

Resolution: verified exact; local_arxiv, observed 2026-08-07T12:29:21.689571Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 384e5f42-fe13-4e21-b26e-0bcefa2418d1 · outbound

This paper cites Kodaneva, S.

Generalized chord diagrams and weight systems Kodaneva, S

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:29:25.010283Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation af8133f2-f13d-4917-9816-7347a1396eb9 · outbound

This paper cites Kontsevich.

Generalized chord diagrams and weight systems Kontsevich

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:29:24.754752Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation e1060447-d28f-4bcb-b8a3-9162f0174bef · outbound

This paper cites an unresolved cited work.

Generalized chord diagrams and weight systems Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:29:24.518876Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 240ece0e-a470-4561-8d96-a36dc6ae1d64 · outbound

This paper cites Lando and A.

Generalized chord diagrams and weight systems Lando and A

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:29:24.235473Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 037ba0ad-acd0-466f-8ee0-f36c325ecd92 · outbound

This paper cites Chromatic polynomial and the $\mathfrak{so}$ weight system.

Generalized chord diagrams and weight systems Chromatic polynomial and the $\mathfrak{so}$ weight system

Reference 15

Resolution: verified exact; local_arxiv, observed 2026-08-07T12:29:21.221791Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 3f5f8d94-b56d-4819-a315-e4aaec5cd752 · outbound

This paper cites Milnor, J.

Generalized chord diagrams and weight systems Milnor, J

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:29:24.013151Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 5707e5de-f627-4b04-a363-190dfd873915 · outbound

This paper cites Okounkov, G.

Generalized chord diagrams and weight systems Okounkov, G

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:29:23.794753Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 4a843d24-2d29-4c9b-a04e-146539a1036b · outbound

This paper cites Topics in Representation Theory.

Generalized chord diagrams and weight systems Topics in Representation Theory

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:29:23.570439Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 977e0a62-c3b3-422a-b218-60e5c50505cf · outbound

This paper cites an unresolved cited work.

Generalized chord diagrams and weight systems Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:29:23.204837Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation e7b503e6-0769-4dec-9912-935b3bbed71d · outbound

This paper cites Sato and Y.

Generalized chord diagrams and weight systems Sato and Y

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:29:22.864753Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation bb5d4473-a6d8-472a-821d-7e16f685b451 · outbound

This paper cites Vassiliev,Cohomology of knot spacesin: Advance in Soviet Math.v.

Generalized chord diagrams and weight systems Vassiliev,Cohomology of knot spacesin: Advance in Soviet Math.v

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:29:22.484747Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 7283f37c-9070-4901-aa04-cb66f292d079 · outbound

This paper cites an unresolved cited work.

Generalized chord diagrams and weight systems Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:29:22.214829Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 3f6185de-3927-427b-9cc1-47af5494b73a · outbound

This paper cites New approaches to $\mathfrak{gl}_N$ weight system.

Generalized chord diagrams and weight systems New approaches to $\mathfrak{gl}_N$ weight system

Reference 23

Resolution: verified exact; local_arxiv, observed 2026-08-07T12:29:20.874756Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 8292ca07-a54d-4b6e-a77b-71e0b60d8155 · outbound

This paper cites Yordzhev, On the cardinality of a factor set in the symmetric group, Asian-European Journal of Mathematics, Vol.

Generalized chord diagrams and weight systems Yordzhev, On the cardinality of a factor set in the symmetric group, Asian-European Journal of Mathematics, Vol

Reference 24

Resolution: verified exact; doi, observed 2026-08-07T12:29:20.367480Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Pith citing papers

Observation f335d727-6933-4d84-a9e8-2c962cbd2af9 · inbound

Quantum $\mathfrak{gl}$-weight system and its average values cites this paper.

Quantum $\mathfrak{gl}$-weight system and its average values Generalized chord diagrams and weight systems

Reference 8

Resolution: verified exact; local_arxiv, observed 2026-08-15T19:14:26.476469Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.