Paper Citation Record · LEDGER

Isotopisms of quadratic quasigroups

As of 8 August 2026, this Paper Citation Record lists 32 of 32 outbound references and 0 inbound Pith citation observations for arXiv:2506.02446.

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

pith.paper-citation-record.v1
2506.02446 v1

Coverage vector

measured 32 of 32 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T11:29:44.591297Z

measured 32 of 32 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+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

32 of 32 outbound references displayed

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verified fuzzy29
unresolved2
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External citation measurements

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Outbound references

Observation 27dc41b0-f0ec-4b25-8312-060d517c8ce5 · outbound

This paper cites Cycles of quadratic Latin squares and antiperfect 1-factorisations.

Isotopisms of quadratic quasigroups Cycles of quadratic Latin squares and antiperfect 1-factorisations

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:29:51.735207Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 7db78cf2-fc32-4c20-a9c3-00b636939ecb · outbound

This paper cites Row-Hamiltonian Latin squares and Falconer varieties.

Isotopisms of quadratic quasigroups Row-Hamiltonian Latin squares and Falconer varieties

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:29:51.601944Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation d2b78ca2-9f7a-49f0-8795-f1389c031930 · outbound

This paper cites Elements of quasigroup theory: a special course.

Isotopisms of quadratic quasigroups Elements of quasigroup theory: a special course

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:29:51.496156Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 5badaa60-a9bb-46f9-a2ce-650e1480c157 · outbound

This paper cites Bounds on the number of autotopisms and subsquares of a Latin square.

Isotopisms of quadratic quasigroups Bounds on the number of autotopisms and subsquares of a Latin square

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:29:51.358638Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation d7fb9aa4-a406-4556-a3f2-23c2d56ede38 · outbound

This paper cites Bounds on the number of small Latin subsquares.

Isotopisms of quadratic quasigroups Bounds on the number of small Latin subsquares

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:29:51.131852Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 9fb26c30-40c4-415e-bf68-f9d3b1e2c446 · outbound

This paper cites Abelian regular subgroups of the affine group and radical rings.

Isotopisms of quadratic quasigroups Abelian regular subgroups of the affine group and radical rings

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:29:50.847707Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 92c60c48-b00f-488b-af56-c73dd8ee9221 · outbound

This paper cites A theorem on permutations in a finite field.

Isotopisms of quadratic quasigroups A theorem on permutations in a finite field

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:29:50.611402Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation f308ed31-fbc4-40f5-b176-525b0cb60eb7 · outbound

This paper cites Latin bitrades derived from quasigroup autoparatopisms.

Isotopisms of quadratic quasigroups Latin bitrades derived from quasigroup autoparatopisms

Reference 8

Resolution: verified exact; local_arxiv, observed 2026-08-07T11:29:44.746341Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 7b5226c6-bb0e-4c2b-b8da-6e85c88f1bd7 · outbound

This paper cites The cycle structure of two rows in a random Latin square.

Isotopisms of quadratic quasigroups The cycle structure of two rows in a random Latin square

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:29:50.336336Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 62473673-d46f-412d-8111-d0a0029a92be · outbound

This paper cites Calculating the order of an invertible matrix.

Isotopisms of quadratic quasigroups Calculating the order of an invertible matrix

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:29:50.098789Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation e351d092-564b-4f95-9d33-3df1cb86c5aa · outbound

This paper cites Intercalates everywhere.

Isotopisms of quadratic quasigroups Intercalates everywhere

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:29:49.739347Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation b09d7fb3-f538-4aec-921c-a24e41b99a9a · outbound

This paper cites Finite primitive linear groups of prime degree.

Isotopisms of quadratic quasigroups Finite primitive linear groups of prime degree

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:29:49.495366Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation eeee0c07-be75-4a09-992d-2c78875b4bd1 · outbound

This paper cites Isomorphisms of quadratic quasigroups.

Isotopisms of quadratic quasigroups Isomorphisms of quadratic quasigroups

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:29:49.259001Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 2a860a08-40e8-49f2-bcf7-4e57aa3b6c4c · outbound

This paper cites Maximally nonassociative quasigroups via quadratic ortho- morphisms.

Isotopisms of quadratic quasigroups Maximally nonassociative quasigroups via quadratic ortho- morphisms

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:29:49.030324Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 717489fe-eba4-42b3-85b2-c165f479dfb1 · outbound

This paper cites On the number of quadratic orthomorphisms that produce maximally nonassociative quasigroups.

Isotopisms of quadratic quasigroups On the number of quadratic orthomorphisms that produce maximally nonassociative quasigroups

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:29:48.806751Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 74d363e3-bf83-4100-bf75-eb490cd742bb · outbound

This paper cites an unresolved cited work.

Isotopisms of quadratic quasigroups Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-07T11:29:48.592566Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 65587e42-c7c0-4782-aafb-936ba505bd2a · outbound

This paper cites an unresolved cited work.

Isotopisms of quadratic quasigroups Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-07T11:29:48.352660Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 7f5f960a-9cc2-4eaf-8863-920c81b36549 · outbound

This paper cites Perfect 1-factorisations of K16.

Isotopisms of quadratic quasigroups Perfect 1-factorisations of K16

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:29:48.095723Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 0d1d1cd3-6ebc-47f6-9228-7d57a49a6ddd · outbound

This paper cites The maximum number of intercalates in a Latin square.

Isotopisms of quadratic quasigroups The maximum number of intercalates in a Latin square

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:29:47.833199Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 743b96a8-dfa9-49b3-acd1-34f5a92ab40f · outbound

This paper cites Large deviations in random Latin squares.

Isotopisms of quadratic quasigroups Large deviations in random Latin squares

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:29:47.568053Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 19c11e17-f2f2-4f87-9b6e-ce39dc357d04 · outbound

This paper cites Substructures in Latin squares.

Isotopisms of quadratic quasigroups Substructures in Latin squares

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:29:47.318045Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 20cd864a-dc0a-4f84-9624-d79cbe6293c1 · outbound

This paper cites Intercalates and discrepancy in random Latin squares.

Isotopisms of quadratic quasigroups Intercalates and discrepancy in random Latin squares

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:29:47.088486Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 7fe73370-2d24-4cdf-ab94-fdea47facc21 · outbound

This paper cites The finite primitive permutation groups containing an abelian regular subgroup.

Isotopisms of quadratic quasigroups The finite primitive permutation groups containing an abelian regular subgroup

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:29:46.841216Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 5e044d48-3b5f-44f0-8e53-7d4034efe12e · outbound

This paper cites Lidl and H.

Isotopisms of quadratic quasigroups Lidl and H

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:29:46.551803Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 7e2bf816-d9be-47f9-8515-ffaa1df15f7b · outbound

This paper cites Maximal nonassociativity via fields.

Isotopisms of quadratic quasigroups Maximal nonassociativity via fields

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:29:46.293681Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation fd16eda6-6352-4bbf-9b69-5005c071bc7d · outbound

This paper cites Small Latin squares, quasigroups, and loops.

Isotopisms of quadratic quasigroups Small Latin squares, quasigroups, and loops

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:29:46.061398Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 795babb0-055f-4f04-9a8b-f62322316863 · outbound

This paper cites Most Latin squares have many subsquares.

Isotopisms of quadratic quasigroups Most Latin squares have many subsquares

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:29:45.889347Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 1a5b3e51-6d4f-46b4-bafc-25746d9af50a · outbound

This paper cites The order of automorphisms of quasigroups.

Isotopisms of quadratic quasigroups The order of automorphisms of quasigroups

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:29:45.719593Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation db59e97c-34bf-499f-93c5-6e330e549c8f · outbound

This paper cites Latin squares with a unique intercalate.

Isotopisms of quadratic quasigroups Latin squares with a unique intercalate

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:29:45.555268Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 06fc4c50-b908-435e-8f26-0a230d3fe58f · outbound

This paper cites Atomic Latin squares based on cyclotomic orthomorphisms.

Isotopisms of quadratic quasigroups Atomic Latin squares based on cyclotomic orthomorphisms

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:29:45.383489Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 46f4b3cd-e60c-4ecd-8701-875a97bde7dd · outbound

This paper cites Symmetries that Latin squares inherit from 1-factorizations.

Isotopisms of quadratic quasigroups Symmetries that Latin squares inherit from 1-factorizations

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:29:45.136223Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation f3658673-cb7d-4f4f-9428-7adfca987b9e · outbound

This paper cites On some exponential sums.

Isotopisms of quadratic quasigroups On some exponential sums

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:29:44.946031Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Pith citing papers

No inbound Pith citation observations are available.