Paper Citation Record · LEDGER

Associated groups of symmetric quandles

As of 15 August 2026, this Paper Citation Record lists 57 of 57 outbound references and 0 inbound Pith citation observations for arXiv:2505.23507.

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

pith.paper-citation-record.v1
2505.23507 v4

Coverage vector

measured 57 of 57 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T12:58:11.117306Z

measured 57 of 57 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+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

57 of 57 outbound references displayed

verified exact30
verified fuzzy7
unresolved16
parse uncertain0
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External citation measurements

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Outbound references

Observation 18bb1048-1381-4110-a8a0-a239d9e5dbfd · outbound

This paper cites an unresolved cited work.

Associated groups of symmetric quandles Unresolved cited work

Reference 1

Resolution: verified exact; doi, observed 2026-08-07T12:58:15.699796Z

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Observation f2a08d03-0cce-4618-85d8-c66f04f9c463 · outbound

This paper cites Knot Theory Ramifications 32 (2023), no.

Associated groups of symmetric quandles Knot Theory Ramifications 32 (2023), no

Reference 2

Resolution: verified exact; doi, observed 2026-08-07T12:58:15.565986Z

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Observation 06738c28-48cf-4926-a788-685d6cc79cca · outbound

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Associated groups of symmetric quandles Unresolved cited work

Reference 3

Resolution: verified exact; doi, observed 2026-08-07T12:58:15.411302Z

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Observation 75c9ad44-fcea-45f1-8848-d3dfe623a693 · outbound

This paper cites an unresolved cited work.

Associated groups of symmetric quandles Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:58:18.512425Z

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Observation 1506b5be-8fde-481d-986c-62983fbc6baf · outbound

This paper cites an unresolved cited work.

Associated groups of symmetric quandles Unresolved cited work

Reference 5

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation dc755ce2-1589-46bb-a8f9-299c76f5f844 · outbound

This paper cites Yang-Baxter Equation and Related Algebraic Structures.

Associated groups of symmetric quandles Yang-Baxter Equation and Related Algebraic Structures

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-07T12:58:06.655514Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2f3ddf91-3147-4a63-ac3a-71d2f8614bf2 · outbound

This paper cites Beggs and Shahn Majid, Quantum Riemannian geometry, Grundlehren der mathema- tischen Wissenschaften [Fundamental Principles of Mathematical Sciences], vol.

Associated groups of symmetric quandles Beggs and Shahn Majid, Quantum Riemannian geometry, Grundlehren der mathema- tischen Wissenschaften [Fundamental Principles of Mathematical Sciences], vol

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:58:18.409312Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 6c3ffd48-d686-497b-a9d1-2cfbf808a683 · outbound

This paper cites Scott Carter, Daniel Jelsovsky, Seiichi Kamada, Laurel Langford, and Masahico Saito,Quan- dle cohomology and state-sum invariants of knotted curves and surfaces , Trans.

Associated groups of symmetric quandles Scott Carter, Daniel Jelsovsky, Seiichi Kamada, Laurel Langford, and Masahico Saito,Quan- dle cohomology and state-sum invariants of knotted curves and surfaces , Trans

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-07T12:58:06.793013Z

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Unavailable: canonical work link unavailable.

Observation 60b2295c-b9e4-4311-879a-6563deaa10ef · outbound

This paper cites Scott Carter, Kanako Oshiro, and Masahico Saito, Symmetric extensions of dihedral quandles and triple points of non-orientable surfaces, Topology Appl.

Associated groups of symmetric quandles Scott Carter, Kanako Oshiro, and Masahico Saito, Symmetric extensions of dihedral quandles and triple points of non-orientable surfaces, Topology Appl

Reference 9

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation d13cf7fc-8110-4229-984c-6a51e7fe49d0 · outbound

This paper cites Algebra Appl.

Associated groups of symmetric quandles Algebra Appl

Reference 10

Resolution: verified exact; doi, observed 2026-08-07T12:58:15.041562Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 587486ed-3123-4124-baf6-5242a1ed9683 · outbound

This paper cites K- Theory 6 (2010), no.

Associated groups of symmetric quandles K- Theory 6 (2010), no

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-07T12:58:07.050850Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fee3e3df-27a8-4a5f-9850-a7d565ffcf48 · outbound

This paper cites Edwin Clark, Mohamed Elhamdadi, Xiang-dong Hou, Masahico Saito, and Timothy Yeat- man, Connected quandles associated with pointed abelian groups, Pacific J.

Associated groups of symmetric quandles Edwin Clark, Mohamed Elhamdadi, Xiang-dong Hou, Masahico Saito, and Timothy Yeat- man, Connected quandles associated with pointed abelian groups, Pacific J

Reference 12

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation a4cf954a-fe30-41e9-ac2e-1d9e31647ff1 · outbound

This paper cites Dhanwani, Hitesh R.

Associated groups of symmetric quandles Dhanwani, Hitesh R

Reference 13

Resolution: verified exact; doi, observed 2026-08-07T12:58:14.756816Z

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Observation 7e3479b0-f9ed-49d4-82a5-2075b0243eb1 · outbound

This paper cites an unresolved cited work.

Associated groups of symmetric quandles Unresolved cited work

Reference 14

Resolution: verified exact; doi, observed 2026-08-07T12:58:14.522036Z

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Observation b1699bf4-8b7b-4494-aff7-6162c2cbecb8 · outbound

This paper cites an unresolved cited work.

Associated groups of symmetric quandles Unresolved cited work

Reference 15

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d9a16b5a-4cab-42ee-a991-bd32c76ec3d6 · outbound

This paper cites Gra ˜na, I.

Associated groups of symmetric quandles Gra ˜na, I

Reference 16

Resolution: verified exact; doi, observed 2026-08-07T12:58:14.340972Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 5d4fbf66-5430-4a15-931d-443654426f45 · outbound

This paper cites ↑2, 10, 18.

Associated groups of symmetric quandles ↑2, 10, 18

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:58:18.294337Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 6240f053-77a6-42ef-8864-02f1159192d1 · outbound

This paper cites an unresolved cited work.

Associated groups of symmetric quandles Unresolved cited work

Reference 18

Resolution: verified exact; doi, observed 2026-08-07T12:58:14.207541Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 6e26e87a-b3a0-42fc-a775-8ead5465c3ae · outbound

This paper cites Group Theory 17 (2014), no.

Associated groups of symmetric quandles Group Theory 17 (2014), no

Reference 19

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 6abcad41-a1fb-4af2-8540-2d3c4872489a · outbound

This paper cites an unresolved cited work.

Associated groups of symmetric quandles Unresolved cited work

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-07T12:58:07.812205Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bcf46953-a711-4dd9-b6f8-d0b946254856 · outbound

This paper cites Humphreys, Reflection groups and Coxeter groups , Cambridge Studies in Ad- vanced Mathematics, vol.

Associated groups of symmetric quandles Humphreys, Reflection groups and Coxeter groups , Cambridge Studies in Ad- vanced Mathematics, vol

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:58:18.194062Z

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Observation 6d855c28-5542-4e00-930c-4182f3203cde · outbound

This paper cites Knot Theory Ramifications 21 (2012), no.

Associated groups of symmetric quandles Knot Theory Ramifications 21 (2012), no

Reference 22

Resolution: verified exact; doi, observed 2026-08-07T12:58:13.806550Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation f77c1c04-3af7-4a41-98a2-c6ea1b4e9fec · outbound

This paper cites Pure Appl.

Associated groups of symmetric quandles Pure Appl

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-07T12:58:08.010329Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bcafac78-c598-455a-a825-ba525df10251 · outbound

This paper cites Knots Everything, vol.

Associated groups of symmetric quandles Knots Everything, vol

Reference 24

Resolution: verified exact; doi, observed 2026-08-07T12:58:13.607267Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation fcff453e-8c2d-40bf-b8d4-351572d851b5 · outbound

This paper cites Part III, Banach Center Publ., vol.

Associated groups of symmetric quandles Part III, Banach Center Publ., vol

Reference 25

Resolution: verified exact; doi, observed 2026-08-07T12:58:13.379234Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 7b6fa497-1cd6-451b-91e0-7e3fd5b7a57e · outbound

This paper cites 1, 17–39.

Associated groups of symmetric quandles 1, 17–39

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:58:18.062518Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 29629744-4ff9-442e-a915-f2733373c58e · outbound

This paper cites 301 (2021), Paper No.

Associated groups of symmetric quandles 301 (2021), Paper No

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-07T12:58:08.308395Z

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Observation 5dea1eb5-2289-49da-b93b-7bf549c7294f · outbound

This paper cites Knot Theory Ramifications24 (2015), no.

Associated groups of symmetric quandles Knot Theory Ramifications24 (2015), no

Reference 28

Resolution: verified exact; doi, observed 2026-08-07T12:58:13.152621Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation b4cd8434-dc41-460b-a717-3edd80fc6e14 · outbound

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Associated groups of symmetric quandles Unresolved cited work

Reference 29

Resolution: verified exact; doi, observed 2026-08-07T12:58:12.943519Z

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Observation e02ccf22-a829-4835-b0e4-7049572808c2 · outbound

This paper cites Pure Appl.

Associated groups of symmetric quandles Pure Appl

Reference 30

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Observation 33c5b9ed-4d38-4306-9036-13f22804ac9f · outbound

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Associated groups of symmetric quandles Unresolved cited work

Reference 31

Resolution: verified exact; raw_fallback, observed 2026-08-07T12:58:17.081915Z

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Observation 50519356-f8d8-414c-83ab-64e8b085a8ea · outbound

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Associated groups of symmetric quandles Unresolved cited work

Reference 32

Resolution: verified exact; doi, observed 2026-08-07T12:58:12.711438Z

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Observation 32c832fd-75cb-4935-b3b4-40c8ac4b27c7 · outbound

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Associated groups of symmetric quandles Unresolved cited work

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-07T12:58:08.801709Z

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Observation 834e2005-3c77-48d2-bcb3-8852f18848e4 · outbound

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Associated groups of symmetric quandles Unresolved cited work

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-07T12:58:08.881238Z

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Observation 73f5c10e-334c-4f47-94b6-72ef5bae0954 · outbound

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Associated groups of symmetric quandles Unresolved cited work

Reference 35

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:58:17.959541Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation f976311b-490e-4dc4-a275-821a92869aee · outbound

This paper cites an unresolved cited work.

Associated groups of symmetric quandles Unresolved cited work

Reference 36

Resolution: verified exact; doi, observed 2026-08-07T12:58:12.528417Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation c7233bef-9aeb-4726-bcde-25a6af0f13d1 · outbound

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Associated groups of symmetric quandles Unresolved cited work

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-07T12:58:09.180544Z

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Unavailable: canonical work link unavailable.

Observation 1c80199b-8277-426c-9391-67468b47101e · outbound

This paper cites Conjugation groups and structure groups of quandles.

Associated groups of symmetric quandles Conjugation groups and structure groups of quandles

Reference 38

Resolution: verified exact; local_arxiv, observed 2026-08-07T12:58:16.839056Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation be0f7594-1aa1-417c-8f61-146397ca32bf · outbound

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Associated groups of symmetric quandles Unresolved cited work

Reference 39

Resolution: verified exact; doi, observed 2026-08-07T12:58:12.369019Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation c75898e2-e843-446f-93dc-1a7c68a08b55 · outbound

This paper cites Majid and K.

Associated groups of symmetric quandles Majid and K

Reference 40

Resolution: verified exact; doi, observed 2026-08-07T12:58:12.178431Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 6778d255-f87a-4144-96c2-540a30230bea · outbound

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Associated groups of symmetric quandles Unresolved cited work

Reference 41

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:58:17.835238Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 7cb95975-12a5-494a-8ffa-1c7e28880c4c · outbound

This paper cites an unresolved cited work.

Associated groups of symmetric quandles Unresolved cited work

Reference 42

Resolution: verified exact; doi, observed 2026-08-07T12:58:12.060593Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 28a057dd-8e3c-4277-9aa0-731104f53c4a · outbound

This paper cites B66, Res.

Associated groups of symmetric quandles B66, Res

Reference 43

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:58:17.727276Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 653f8d1b-516b-4047-8925-e820ed8ffcde · outbound

This paper cites MR3729413 ↑16, 18.

Associated groups of symmetric quandles MR3729413 ↑16, 18

Reference 44

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:58:17.609268Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation b020bd7a-6536-4e0b-8939-bc6935cd8bcc · outbound

This paper cites an unresolved cited work.

Associated groups of symmetric quandles Unresolved cited work

Reference 45

Resolution: verified exact; doi, observed 2026-08-07T12:58:11.898722Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation d3d67e1b-1dd4-4f63-92de-92e937514e20 · outbound

This paper cites Knot Theory Ramifications 20 (2011), no.

Associated groups of symmetric quandles Knot Theory Ramifications 20 (2011), no

Reference 46

Resolution: verified exact; doi, observed 2026-08-07T12:58:11.760922Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 41d1d297-456a-48cb-adef-2c71456fa4c0 · outbound

This paper cites Quandles versus symmetric quandles for oriented links.

Associated groups of symmetric quandles Quandles versus symmetric quandles for oriented links

Reference 47

Resolution: verified exact; local_arxiv, observed 2026-08-07T12:58:16.671136Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 2174f303-92c4-4d24-8b18-63abec816a4f · outbound

This paper cites an unresolved cited work.

Associated groups of symmetric quandles Unresolved cited work

Reference 48

Resolution: verified exact; doi, observed 2026-08-07T12:58:11.613730Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 063443a9-bafb-41cb-bae7-a854e3d6f6ac · outbound

This paper cites 335 (2023), Paper No.

Associated groups of symmetric quandles 335 (2023), Paper No

Reference 49

Resolution: metadata mismatch; raw_fallback, observed 2026-08-07T12:58:16.554315Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 661a4bcf-6b8d-4bdc-b0ac-ae4f03848cd0 · outbound

This paper cites The origins of involutory quandles.

Associated groups of symmetric quandles The origins of involutory quandles

Reference 50

Resolution: unresolved; no resolver link, observed 2026-08-07T12:58:10.361358Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 40c3bc29-89e6-4392-bb2f-346b8a69e930 · outbound

This paper cites Good involutions of conjugation subquandles.

Associated groups of symmetric quandles Good involutions of conjugation subquandles

Reference 51

Resolution: unresolved; no resolver link, observed 2026-08-07T12:58:10.474593Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 15a304a7-b0a4-4478-833c-baf12c24fc67 · outbound

This paper cites an unresolved cited work.

Associated groups of symmetric quandles Unresolved cited work

Reference 52

Resolution: verified exact; raw_fallback, observed 2026-08-07T12:58:16.301270Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 18c2c85f-4cc5-4073-8058-83d50b5d6e86 · outbound

This paper cites Pure Appl.

Associated groups of symmetric quandles Pure Appl

Reference 53

Resolution: metadata mismatch; raw_fallback, observed 2026-08-07T12:58:16.116626Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation e591ff70-e1e1-42a7-acca-f36842e7e6b4 · outbound

This paper cites Knot Theory Ramifications 32 (2023), no.

Associated groups of symmetric quandles Knot Theory Ramifications 32 (2023), no

Reference 54

Resolution: verified exact; doi, observed 2026-08-07T12:58:11.475057Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 8185474f-284b-4d5c-9f76-c5d41e00eb25 · outbound

This paper cites Japan Acad.

Associated groups of symmetric quandles Japan Acad

Reference 55

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:58:17.491565Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation e5b1b2ce-cc99-49c1-9920-84b87a6c7483 · outbound

This paper cites Knot Theory Ramifications 33 (2024), no.

Associated groups of symmetric quandles Knot Theory Ramifications 33 (2024), no

Reference 56

Resolution: verified exact; doi, observed 2026-08-07T12:58:11.312068Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation e34aebdb-a5ca-4ff1-86ea-8fa35b12fb25 · outbound

This paper cites Characterizations of knot groups and knot symmetric quandles of surface-links.

Associated groups of symmetric quandles Characterizations of knot groups and knot symmetric quandles of surface-links

Reference 57

Resolution: verified exact; local_arxiv, observed 2026-08-07T12:58:15.850011Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Pith citing papers

No inbound Pith citation observations are available.