Paper Citation Record · LEDGER

Fundamental generalized Legendrian rack and classical invariants

As of 22 August 2026, this Paper Citation Record lists 20 of 20 outbound references and 1 inbound Pith citation observation for arXiv:2507.18500.

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

pith.paper-citation-record.v1
2507.18500 v1

Coverage vector

measured 20 of 20 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T18:23:25.239103Z

measured 21 of 21 standing notices

One-hop event checks from named stored sources.

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

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T22:18:51.183932Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-15T22:18:52.686065Z

Reference resolution

20 of 20 outbound references displayed

verified exact1
verified fuzzy12
unresolved7
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation c0da444d-d7c3-4a8a-b7f6-9ff43604cf2d · outbound

This paper cites From racks to pointed Hopf algebras.Adv.

Fundamental generalized Legendrian rack and classical invariants From racks to pointed Hopf algebras.Adv

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-15T18:23:25.131337Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6b589091-5935-4984-8f0d-8c3414a04301 · outbound

This paper cites Scott Carter, Alissa S.

Fundamental generalized Legendrian rack and classical invariants Scott Carter, Alissa S

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:23:25.758935Z

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.

Observation cef34fe8-6c53-4cdf-8340-dd4d4b830d2e · outbound

This paper cites Scott Carter, Daniel Jelsovsky, Seiichi Kamada, Laurel Langford, and Masahico Saito.

Fundamental generalized Legendrian rack and classical invariants Scott Carter, Daniel Jelsovsky, Seiichi Kamada, Laurel Langford, and Masahico Saito

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:23:25.741813Z

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.

Observation d0c82421-7041-4437-8362-810cbea4cdfa · outbound

This paper cites Legendrian rack invariants of Legendrian knots.

Fundamental generalized Legendrian rack and classical invariants Legendrian rack invariants of Legendrian knots

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:23:25.723393Z

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.

Observation 9bb0b6a5-fa0d-4c8d-8662-e9deb8329176 · outbound

This paper cites Differential algebra of Legendrian links.

Fundamental generalized Legendrian rack and classical invariants Differential algebra of Legendrian links

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-15T18:23:25.152792Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 97b89689-29a3-4748-9efc-b4d6450b3534 · outbound

This paper cites A survey of racks and quandles: some recent developments.

Fundamental generalized Legendrian rack and classical invariants A survey of racks and quandles: some recent developments

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:23:25.683283Z

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.

Observation f0c0cbe3-34ed-4f7e-ba52-af033992d09b · outbound

This paper cites Quandles—an introduction to the algebra of knots , volume 74 of Student Mathematical Library.

Fundamental generalized Legendrian rack and classical invariants Quandles—an introduction to the algebra of knots , volume 74 of Student Mathematical Library

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:23:25.615808Z

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.

Observation b0fd6061-ac4e-4255-93c8-a2e40d8eed69 · outbound

This paper cites Classification of topologically trivial Legendrian knots.

Fundamental generalized Legendrian rack and classical invariants Classification of topologically trivial Legendrian knots

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:23:25.598973Z

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.

Observation ea18e27a-ffce-48d1-99a3-aa2fcfdd6200 · outbound

This paper cites Topologically trivial Legendrian knots.J.

Fundamental generalized Legendrian rack and classical invariants Topologically trivial Legendrian knots.J

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:23:25.582402Z

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.

Observation 7a3cae6d-c93d-4b96-b337-75e7504a491d · outbound

This paper cites an unresolved cited work.

Fundamental generalized Legendrian rack and classical invariants Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-15T18:23:25.565367Z

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.

Observation 27648aec-f993-4948-b86b-f57f69e30bba · outbound

This paper cites Etnyre and Ko Honda.

Fundamental generalized Legendrian rack and classical invariants Etnyre and Ko Honda

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-15T18:23:25.186662Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0d8a5036-4002-4747-ac35-20c9444d090e · outbound

This paper cites Racks and links in codimension two.

Fundamental generalized Legendrian rack and classical invariants Racks and links in codimension two

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:23:25.539084Z

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.

Observation 890d979b-d987-405b-9e96-ee05438aa20d · outbound

This paper cites A classifying invariant of knots, the knot quandle.

Fundamental generalized Legendrian rack and classical invariants A classifying invariant of knots, the knot quandle

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:23:25.523147Z

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.

Observation d191b2ec-2ce7-4158-8030-777a506e03fd · outbound

This paper cites Generalised legendrian racks of legendrian links.

Fundamental generalized Legendrian rack and classical invariants Generalised legendrian racks of legendrian links

Reference 14

Resolution: verified exact; raw_fallback, observed 2026-08-15T18:23:25.374411Z

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.

Observation 15d3ebfc-3ccf-4d68-8bdc-eeea2fd13f96 · outbound

This paper cites Bi-Legendrian rack colorings of Legendrian knots.

Fundamental generalized Legendrian rack and classical invariants Bi-Legendrian rack colorings of Legendrian knots

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:23:25.505542Z

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.

Observation 368f8d89-933f-42e7-95f6-3eccc1c363d0 · outbound

This paper cites On Rack Invariants Of Legendrian Knots.

Fundamental generalized Legendrian rack and classical invariants On Rack Invariants Of Legendrian Knots

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-15T18:23:25.214882Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fbb4e8fb-26b5-4f4a-8d6a-cf26c114df35 · outbound

This paper cites an unresolved cited work.

Fundamental generalized Legendrian rack and classical invariants Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-15T18:23:25.465375Z

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.

Observation 40f975ef-dd29-4d15-a248-59f396ba4e38 · outbound

This paper cites Rubinsztein.

Fundamental generalized Legendrian rack and classical invariants Rubinsztein

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:23:25.419487Z

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.

Observation f35d7958-4129-4f73-95db-20675dc8298a · outbound

This paper cites Classification and structure of generalized Legendrian racks.

Fundamental generalized Legendrian rack and classical invariants Classification and structure of generalized Legendrian racks

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-15T18:23:25.233060Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a34d655b-2be4-4f3b-a323-7837ea86f2a0 · outbound

This paper cites On relations and homology of the Dehn quandle.

Fundamental generalized Legendrian rack and classical invariants On relations and homology of the Dehn quandle

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:23:25.391090Z

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.

Pith citing papers

Observation 51bdcfa3-30d5-4dc9-8584-7f657681198a · inbound

Good involutions of conjugation subquandles cites this paper.

Good involutions of conjugation subquandles Fundamental generalized Legendrian rack and classical invariants

Reference 5

Resolution: metadata mismatch; local_arxiv, observed 2026-08-15T22:18:52.694637Z

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.