Paper Citation Record · LEDGER

Classification and structure of generalized Legendrian racks

As of 17 August 2026, this Paper Citation Record lists 42 of 42 outbound references and 4 inbound Pith citation observations for arXiv:2504.12671.

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

pith.paper-citation-record.v1
2504.12671 v3

Coverage vector

measured 42 of 42 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-16T12:41:47.754947Z

measured 46 of 46 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+00:00

measured 4 of 4 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T22:18:51.963317Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-19T18:57:43.183423Z

Reference resolution

42 of 42 outbound references displayed

verified exact1
verified fuzzy33
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External citation measurements

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Outbound references

Observation f10ece8e-aba3-4539-9e3a-8f8c6a47c93b · outbound

This paper cites Bardakov, Pinka Dey, and Mahender Singh,Automorphism groups of quandles arising from groups, Monatsh.

Classification and structure of generalized Legendrian racks Bardakov, Pinka Dey, and Mahender Singh,Automorphism groups of quandles arising from groups, Monatsh

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:41:48.666512Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 47e92b71-a1b3-4214-ad8b-617b136b4a69 · outbound

This paper cites Bardakov, Timur Nasybullov, and Mahender Singh,Automorphism groups of quandles and related groups, Monatsh.

Classification and structure of generalized Legendrian racks Bardakov, Timur Nasybullov, and Mahender Singh,Automorphism groups of quandles and related groups, Monatsh

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:41:48.649047Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation d8275608-3ef4-4432-85d8-58b5c32e587f · outbound

This paper cites Accessed: 2025- 3-15.

Classification and structure of generalized Legendrian racks Accessed: 2025- 3-15

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:41:48.631893Z

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Observation 36a119c5-d97f-4c29-a27c-e913a780307b · outbound

This paper cites 51, Cambridge University Press, Cambridge, 1994.

Classification and structure of generalized Legendrian racks 51, Cambridge University Press, Cambridge, 1994

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:41:48.614772Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 33afab1c-264d-4544-b392-bd4dd1979bc1 · outbound

This paper cites The rack congruence condition and half congruences in racks.

Classification and structure of generalized Legendrian racks The rack congruence condition and half congruences in racks

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-16T12:41:47.563028Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 299a57a7-0b25-4c43-a1c6-2227398fd5f7 · outbound

This paper cites Math.273(2015), no.

Classification and structure of generalized Legendrian racks Math.273(2015), no

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:41:48.597709Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 235f8fb5-2b30-42e9-b29b-db17627a6ab8 · outbound

This paper cites an unresolved cited work.

Classification and structure of generalized Legendrian racks Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-16T12:41:48.581377Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 89ac996a-d3d0-4639-bcaf-4caa145b3dcc · outbound

This paper cites Korean Math.

Classification and structure of generalized Legendrian racks Korean Math

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:41:48.565046Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 8063443a-e2cc-44a9-953a-6c57fa23c1a9 · outbound

This paper cites Math.22(2013), no.

Classification and structure of generalized Legendrian racks Math.22(2013), no

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:41:48.549121Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 04179bde-ca77-46a4-b7cc-09a27e0676ef · outbound

This paper cites Crans and Sam Nelson,Hom quandles, J.

Classification and structure of generalized Legendrian racks Crans and Sam Nelson,Hom quandles, J

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:41:48.532953Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation babe5967-7ecb-4241-a298-926063733872 · outbound

This paper cites Categ.18(2007), No.

Classification and structure of generalized Legendrian racks Categ.18(2007), No

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:41:48.517177Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 9a3f54dc-fb55-4f24-b8df-3ace0ffb3902 · outbound

This paper cites Dummit and Richard M.

Classification and structure of generalized Legendrian racks Dummit and Richard M

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:41:48.500918Z

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Observation dcc0ab2d-f6d0-4984-be0c-3b34ff5a3f7b · outbound

This paper cites 3, 509–522.

Classification and structure of generalized Legendrian racks 3, 509–522

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:41:48.485234Z

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Observation 67cd8105-f8ba-41e5-ad09-d043136a6399 · outbound

This paper cites Algebra Appl.11(2012), no.

Classification and structure of generalized Legendrian racks Algebra Appl.11(2012), no

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:41:48.468482Z

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Observation 99c9469f-674e-4c63-b93d-a6bf318855bc · outbound

This paper cites 74, American Mathematical Society, Providence, RI, 2015.

Classification and structure of generalized Legendrian racks 74, American Mathematical Society, Providence, RI, 2015

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:41:48.452150Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 98d9f544-713c-483e-91fd-49cface271a5 · outbound

This paper cites Pure Appl.

Classification and structure of generalized Legendrian racks Pure Appl

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:41:48.435566Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 76f4bc22-3505-4d33-ab0a-3523192542fb · outbound

This paper cites Etnyre,Legendrian and transversal knots, Handbook of knot theory, 2005, pp.

Classification and structure of generalized Legendrian racks Etnyre,Legendrian and transversal knots, Handbook of knot theory, 2005, pp

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:41:48.417780Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation c56062c8-b642-4c7d-9ab1-e12740f7ac29 · outbound

This paper cites Guccione, and Juan J.

Classification and structure of generalized Legendrian racks Guccione, and Juan J

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:41:48.398288Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 4010e480-e47e-4ffd-9b06-a611a113004f · outbound

This paper cites Knot Theory Ramifications1(1992), no.

Classification and structure of generalized Legendrian racks Knot Theory Ramifications1(1992), no

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:41:48.380616Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 0782b86e-ad63-411f-b201-9161aa2a692c · outbound

This paper cites Knot Theory Ramifications30(2021), no.

Classification and structure of generalized Legendrian racks Knot Theory Ramifications30(2021), no

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:41:48.363733Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 22fc7053-4516-4bbe-914d-1c3b7b46971f · outbound

This paper cites Symbolic Comput.41(2006), no.

Classification and structure of generalized Legendrian racks Symbolic Comput.41(2006), no

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:41:48.345631Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 17dda5f7-ba0c-4131-a1a3-51dca7e991b8 · outbound

This paper cites Algebra443(2015), 300–334.

Classification and structure of generalized Legendrian racks Algebra443(2015), 300–334

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:41:48.327925Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation f3566855-7683-4d66-b56b-7af349d1e758 · outbound

This paper cites Pure Appl.

Classification and structure of generalized Legendrian racks Pure Appl

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-16T12:41:47.654181Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 47f3075c-8a83-42a1-b5af-d19204289a98 · outbound

This paper cites 107520, 18.

Classification and structure of generalized Legendrian racks 107520, 18

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:41:48.294824Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation d9cb15a1-7800-40de-8976-a254433ab570 · outbound

This paper cites an unresolved cited work.

Classification and structure of generalized Legendrian racks Unresolved cited work

Reference 26

Resolution: unresolved; raw_fallback, observed 2026-08-16T12:41:48.276866Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation fa13f57a-a844-4c91-8bc1-65bd72635f21 · outbound

This paper cites Knot Theory Ramifications32(2023), no.

Classification and structure of generalized Legendrian racks Knot Theory Ramifications32(2023), no

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:41:48.260743Z

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Observation bd9a6178-fbcf-4510-86e0-ed8cd69518b4 · outbound

This paper cites Thesis (Ph.D.)–Waseda University Graduate School of Fundamental Science and Engineering.

Classification and structure of generalized Legendrian racks Thesis (Ph.D.)–Waseda University Graduate School of Fundamental Science and Engineering

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:41:48.244085Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation c66a3df7-df29-4c69-b608-44fc49f3c999 · outbound

This paper cites an unresolved cited work.

Classification and structure of generalized Legendrian racks Unresolved cited work

Reference 29

Resolution: verified exact; doi, observed 2026-08-16T12:41:47.798110Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 2c8cfd8c-87bf-4538-af00-96bff6ac797c · outbound

This paper cites On Rack Invariants Of Legendrian Knots.

Classification and structure of generalized Legendrian racks On Rack Invariants Of Legendrian Knots

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-16T12:41:47.691301Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4f528a30-1a26-4c39-9ae7-e79236db5673 · outbound

This paper cites Vladimir Matveev,Distributive groupoids in knot theory, Mat.

Classification and structure of generalized Legendrian racks Vladimir Matveev,Distributive groupoids in knot theory, Mat

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:41:48.226606Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 71878fb8-3448-42db-95c0-3c4cbdce8861 · outbound

This paper cites org/A181770.

Classification and structure of generalized Legendrian racks org/A181770

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:41:48.207372Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 6dddb354-9ff9-470d-85ac-f79883fb02d1 · outbound

This paper cites a quandle?, Notices Amer.

Classification and structure of generalized Legendrian racks a quandle?, Notices Amer

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:41:48.186355Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 4608b27e-ec07-44fa-9713-c87cd222ea3c · outbound

This paper cites MR3729413.

Classification and structure of generalized Legendrian racks MR3729413

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:41:48.165583Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 795effb5-3172-4552-a50a-d812a61d3abf · outbound

This paper cites Math., 1–149.https://doi.org/10.1080/10586458.2024.2430715.

Classification and structure of generalized Legendrian racks Math., 1–149.https://doi.org/10.1080/10586458.2024.2430715

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-16T12:41:47.717933Z

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Unavailable: canonical work link unavailable.

Observation ce524863-0c3b-4d97-b83f-e2d8cfe8d8bb · outbound

This paper cites 80, Springer- Verlag, New York-Berlin, 1982.

Classification and structure of generalized Legendrian racks 80, Springer- Verlag, New York-Berlin, 1982

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:41:48.147241Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation c10c6c69-eb48-4de6-91b3-0b1043839872 · outbound

This paper cites Algebra46 (2018), no.

Classification and structure of generalized Legendrian racks Algebra46 (2018), no

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:41:48.126522Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation dfa53440-af8b-4483-b5fa-ad4cb6c1f39c · outbound

This paper cites Good involutions of conjugation subquandles.

Classification and structure of generalized Legendrian racks Good involutions of conjugation subquandles

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-16T12:41:47.733694Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation aa242d26-cfbb-43e2-af51-24b092f1d72f · outbound

This paper cites Accessed: 2025-7-17.

Classification and structure of generalized Legendrian racks Accessed: 2025-7-17

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:41:48.107963Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation d3b6a33e-dab9-4de5-8d4c-d35761d9ad7f · outbound

This paper cites J.49(1943), 145–207.

Classification and structure of generalized Legendrian racks J.49(1943), 145–207

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:41:48.088476Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 9b32196b-750c-49f3-972d-8f5c76f0fee0 · outbound

This paper cites Accessed: 2025-01-03.

Classification and structure of generalized Legendrian racks Accessed: 2025-01-03

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:41:48.071198Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 800ecccc-1c37-47a4-9291-855f0bb81f99 · outbound

This paper cites Comp.88(2019), no.

Classification and structure of generalized Legendrian racks Comp.88(2019), no

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:41:48.054038Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 6695c2a6-3fa7-42c0-9ca8-778d28fdb61d · outbound

This paper cites an unresolved cited work.

Classification and structure of generalized Legendrian racks Unresolved cited work

Reference 2024

Resolution: unresolved; no resolver link, observed 2026-08-16T12:41:47.669881Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation 34cbf9b4-d110-4d89-97a3-a100c7bb8825 · inbound

Good involutions of conjugation subquandles cites this paper.

Good involutions of conjugation subquandles Classification and structure of generalized Legendrian racks

Reference 43

Resolution: unresolved; no resolver link, observed 2026-08-15T22:18:51.963317Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

Fundamental generalized Legendrian rack and classical invariants cites this paper.

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 cdc6126f-562a-40e1-9482-a969cd65c8a2 · inbound

On medial Latin quandles and affine modules cites this paper.

On medial Latin quandles and affine modules Classification and structure of generalized Legendrian racks

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-03T03:18:06.900521Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b68856a1-8867-4fbe-b6e9-39df4e7ce86f · inbound

GL-racks and coloring invariants of Legendrian knots cites this paper.

GL-racks and coloring invariants of Legendrian knots Classification and structure of generalized Legendrian racks

Reference 20

Resolution: verified exact; arxiv_id, observed 2026-05-19T18:57:43.185221Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.