Paper Citation Record · LEDGER

Idempotents and Powers of Ideals in Quandle Rings

As of 8 August 2026, this Paper Citation Record lists 26 of 26 outbound references and 1 inbound Pith citation observation for arXiv:2601.07057.

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

pith.paper-citation-record.v1
2601.07057 v3

Coverage vector

measured 26 of 26 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-03T11:27:13.757271Z

measured 27 of 27 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-03T03:18:05.281400Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

26 of 26 outbound references displayed

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Outbound references

Observation be690e23-b8fc-44a1-a3c1-e3d477603451 · outbound

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

Idempotents and Powers of Ideals in Quandle Rings Yang-Baxter Equation and Related Algebraic Structures

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-03T11:27:11.912160Z

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Observation d6b277b8-09f9-4bc8-b82b-2289311adeb5 · outbound

This paper cites Bardakov, T.

Idempotents and Powers of Ideals in Quandle Rings Bardakov, T

Reference 2

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Observation 91de2654-f720-476d-9b06-3630cd232707 · outbound

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

Idempotents and Powers of Ideals in Quandle Rings Bardakov, Pinka Dey, and Mahender Singh,Automorphism groups of quandles arising from groups, Monatsh

Reference 3

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Observation badf640e-ce38-4232-9ef3-51f7475fdacf · outbound

This paper cites an unresolved cited work.

Idempotents and Powers of Ideals in Quandle Rings Unresolved cited work

Reference 4

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Observation 19989a1e-67da-48c2-9b41-ca73dcb9fcea · outbound

This paper cites Algebra Appl.18(2019), no.

Idempotents and Powers of Ideals in Quandle Rings Algebra Appl.18(2019), no

Reference 5

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Observation 90998ad2-cab7-433c-8da6-6cde90bd72dd · outbound

This paper cites Scott Carter, Alissa S.

Idempotents and Powers of Ideals in Quandle Rings Scott Carter, Alissa S

Reference 6

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Observation b6bb72f2-a45c-45e8-8843-61ab6548d992 · outbound

This paper cites Scott Carter, Mohamed Elhamdadi, Marina Appiou Nikiforou, and Masahico Saito,Extensions of quan- dles and cocycle knot invariants, J.

Idempotents and Powers of Ideals in Quandle Rings Scott Carter, Mohamed Elhamdadi, Marina Appiou Nikiforou, and Masahico Saito,Extensions of quan- dles and cocycle knot invariants, J

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-03T11:27:12.328748Z

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Observation 4e21a95f-af2d-4ab4-a0ec-5dd2162b2b87 · outbound

This paper cites Scott Carter, Mohamed Elhamdadi, and Masahico Saito,Homology theory for the set-theoretic Yang- Baxter equation and knot invariants from generalizations of quandles, Fund.

Idempotents and Powers of Ideals in Quandle Rings Scott Carter, Mohamed Elhamdadi, and Masahico Saito,Homology theory for the set-theoretic Yang- Baxter equation and knot invariants from generalizations of quandles, Fund

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-03T11:27:12.391434Z

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Observation 1b56e396-c533-48ef-8499-b51e06750e11 · outbound

This paper cites Scott Carter, Mohamed Elhamdadi, Matias Graña, and Masahico Saito,Cocycle knot invariants from quandle modules and generalized quandle homology, Osaka J.

Idempotents and Powers of Ideals in Quandle Rings Scott Carter, Mohamed Elhamdadi, Matias Graña, and Masahico Saito,Cocycle knot invariants from quandle modules and generalized quandle homology, Osaka J

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-03T11:27:12.489951Z

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Observation 93450493-e17e-4e51-a488-2fa61bcdf7cd · outbound

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

Idempotents and Powers of Ideals in Quandle Rings Scott Carter, Daniel Jelsovsky, Seiichi Kamada, Laurel Langford, and Masahico Saito,Quandle co- homology and state-sum invariants of knotted curves and surfaces, Trans

Reference 10

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Observation b2aab3dc-7ccc-487e-ae59-1d255f4eb1c0 · outbound

This paper cites Edwin Clark, Mohamed Elhamdadi, Masahico Saito, and Timothy Yeatman,Quandle colorings of knots and applications, J.

Idempotents and Powers of Ideals in Quandle Rings Edwin Clark, Mohamed Elhamdadi, Masahico Saito, and Timothy Yeatman,Quandle colorings of knots and applications, J

Reference 11

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Observation 4f66ea87-c282-490a-a52c-6a53a61ef8aa · outbound

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Idempotents and Powers of Ideals in Quandle Rings Unresolved cited work

Reference 12

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Observation 6200aab4-e8be-4132-8efb-8e3bfb2550df · outbound

This paper cites Algebra526(2019), 166–187.

Idempotents and Powers of Ideals in Quandle Rings Algebra526(2019), 166–187

Reference 13

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Observation db64bd53-2b46-4474-808a-485714d2e22e · outbound

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

Idempotents and Powers of Ideals in Quandle Rings Algebra Appl.11(2012), no

Reference 14

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Observation ee887eea-a8b5-4ac6-9f94-6f0ee288930e · outbound

This paper cites Elhamdadi, A.

Idempotents and Powers of Ideals in Quandle Rings Elhamdadi, A

Reference 15

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Observation 05741385-560d-452a-bb6f-360e139d464b · outbound

This paper cites Moutuou,Finitely stable racks and rack representations, Comm.

Idempotents and Powers of Ideals in Quandle Rings Moutuou,Finitely stable racks and rack representations, Comm

Reference 16

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Observation ea0d0131-9e5b-477e-98cf-b749e1b6b9f7 · outbound

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

Idempotents and Powers of Ideals in Quandle Rings 74, American Mathematical Society, Providence, RI, 2015

Reference 17

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Observation 77af1866-e083-445f-961a-b7be7121cc2e · outbound

This paper cites Pure Appl.

Idempotents and Powers of Ideals in Quandle Rings Pure Appl

Reference 18

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Observation 392e70cf-4710-42de-be64-9d2d6ba488cd · outbound

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Idempotents and Powers of Ideals in Quandle Rings Unresolved cited work

Reference 19

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Observation 6cc879e6-92cc-4da7-85ea-5df638c74dab · outbound

This paper cites Algebra Appl.

Idempotents and Powers of Ideals in Quandle Rings Algebra Appl

Reference 20

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Observation 2c798eab-713b-450d-90bf-c34669e51366 · outbound

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Idempotents and Powers of Ideals in Quandle Rings Unresolved cited work

Reference 21

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Observation b35e7712-0ba4-4e9d-aeca-edbd03e3fd3a · outbound

This paper cites Pure Appl.

Idempotents and Powers of Ideals in Quandle Rings Pure Appl

Reference 22

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Observation 52c07008-e757-4bae-a1b4-8383ac633410 · outbound

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Idempotents and Powers of Ideals in Quandle Rings Unresolved cited work

Reference 23

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Observation af57e53c-e4d6-48ff-b112-71c86c7e3518 · outbound

This paper cites Macquarrie,Automorphism Groups of Quandles, M.A.

Idempotents and Powers of Ideals in Quandle Rings Macquarrie,Automorphism Groups of Quandles, M.A

Reference 24

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Observation 60ee270f-3928-44a5-88ee-306e908f0649 · outbound

This paper cites Przytycki and Seung Yeop Yang,Annihilation of torsion in homology of finitem-AQ quandles, J.

Idempotents and Powers of Ideals in Quandle Rings Przytycki and Seung Yeop Yang,Annihilation of torsion in homology of finitem-AQ quandles, J

Reference 25

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Observation bd6c31fd-8346-461d-83e7-4ed5e73ab3ec · outbound

This paper cites Blog post.↑9 SOBOLEVINSTITUTE OFMATHEMATICS, ACAD.

Idempotents and Powers of Ideals in Quandle Rings Blog post.↑9 SOBOLEVINSTITUTE OFMATHEMATICS, ACAD

Reference 26

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Pith citing papers

Observation a0665284-efe8-4a8d-b822-eb7324277168 · inbound

On medial Latin quandles and affine modules cites this paper.

On medial Latin quandles and affine modules Idempotents and Powers of Ideals in Quandle Rings

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-03T03:18:05.281400Z

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