Paper Citation Record · LEDGER

Binary partial groups

As of 9 August 2026, this Paper Citation Record lists 25 of 25 outbound references and 1 inbound Pith citation observation for arXiv:2603.03167.

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

pith.paper-citation-record.v1
2603.03167 v2

Coverage vector

measured 25 of 25 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-02T19:18:45.457943Z

measured 26 of 26 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-06-29T19:18:30.555799Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-06-29T19:23:54.006559Z

Reference resolution

25 of 25 outbound references displayed

verified exact0
verified fuzzy0
unresolved25
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation e1b8d2bb-14a1-4bc0-b467-5618df3e731a · outbound

This paper cites thesis, University of California, Berkeley, 2008, p.

Binary partial groups thesis, University of California, Berkeley, 2008, p

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-02T19:18:42.559021Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 08252f18-fc9b-4eff-9e75-cc8fd33c60ca · outbound

This paper cites An analysis of the associative law, Amer.

Binary partial groups An analysis of the associative law, Amer

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-02T19:18:42.657218Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 20500288-a6d0-408f-be65-070d943933d2 · outbound

This paper cites II, Amer.

Binary partial groups II, Amer

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-02T19:18:42.778153Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 504504e7-a07b-4536-afbf-884e1bcd9297 · outbound

This paper cites III, Amer.

Binary partial groups III, Amer

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-02T19:18:42.971680Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5792cbd4-44ce-43f9-8f9b-816901cb8f52 · outbound

This paper cites An extension theory for partial groups.

Binary partial groups An extension theory for partial groups

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-02T19:18:43.080055Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6404b914-73f6-4068-8e45-4c7e2c5fdf81 · outbound

This paper cites MR 93552.

Binary partial groups MR 93552

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-02T19:18:43.168638Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 75bdbe8e-aafe-4692-adfd-74e792a1a83b · outbound

This paper cites 1, 47–139.

Binary partial groups 1, 47–139

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-02T19:18:43.299550Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5d62413a-e8e7-4d43-a9dc-75e149bd5e8d · outbound

This paper cites an unresolved cited work.

Binary partial groups Unresolved cited work

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-02T19:18:43.441008Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 09f03f1b-2da1-4acb-b0c3-0e935a4ea483 · outbound

This paper cites An extension theory for partial groups and localities.

Binary partial groups An extension theory for partial groups and localities

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-02T19:18:43.601823Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 825c5e5a-6d56-4516-bf2b-5630caa67aa2 · outbound

This paper cites Pure Appl.

Binary partial groups Pure Appl

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-02T19:18:43.715188Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3fb0742b-9336-4730-b4a9-a23b71398e52 · outbound

This paper cites an unresolved cited work.

Binary partial groups Unresolved cited work

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-02T19:18:43.829140Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a801b958-50a5-45b0-a300-9091321ccd9b · outbound

This paper cites an unresolved cited work.

Binary partial groups Unresolved cited work

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-02T19:18:43.951330Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c3e45cd2-3ba5-45d0-ad00-d6d99178cb84 · outbound

This paper cites Lawvere's fourth open problem: Levels in the topos of symmetric simplicial sets.

Binary partial groups Lawvere's fourth open problem: Levels in the topos of symmetric simplicial sets

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-02T19:18:44.081090Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f64f5839-883c-4996-a37b-647dc5320f3f · outbound

This paper cites Countex.3(2023), Paper No.

Binary partial groups Countex.3(2023), Paper No

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-02T19:18:44.219119Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fdcc33d1-5ff6-496d-bb54-3181ef504d3b · outbound

This paper cites Algebra 119(1988), no.

Binary partial groups Algebra 119(1988), no

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-02T19:18:44.352125Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 379e353d-c1cb-45aa-ac38-48180dabc005 · outbound

This paper cites Algebra659(2024), 859–901.

Binary partial groups Algebra659(2024), 859–901

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-02T19:18:44.492856Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a794ee77-5483-44b9-a51c-82a5bf118e92 · outbound

This paper cites an unresolved cited work.

Binary partial groups Unresolved cited work

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-02T19:18:44.609148Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ff469a7e-4c9c-4d79-81b4-8c0058b5a5d3 · outbound

This paper cites an unresolved cited work.

Binary partial groups Unresolved cited work

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-02T19:18:44.728471Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 011bdcea-bfda-4b0a-ad1c-f3ac9c1130de · outbound

This paper cites MR 4727501.

Binary partial groups MR 4727501

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-02T19:18:44.846168Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 71b624ee-b9bb-4010-aaa5-c7f670b08b1f · outbound

This paper cites Sabinin,Smooth quasigroups and loops, Mathematics and its Applications, vol.

Binary partial groups Sabinin,Smooth quasigroups and loops, Mathematics and its Applications, vol

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-02T19:18:44.957643Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d01ad300-3149-4626-8111-c87340bef666 · outbound

This paper cites Cambridge Philos.

Binary partial groups Cambridge Philos

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-02T19:18:45.046466Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a2370315-0cbe-459d-a5b1-d881ebdc1c43 · outbound

This paper cites an unresolved cited work.

Binary partial groups Unresolved cited work

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-02T19:18:45.150895Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 595d1bcd-daeb-4be8-b497-84c1c55dbd54 · outbound

This paper cites 4, Yale University Press, New Haven, Conn.-London, 1971, A James K.

Binary partial groups 4, Yale University Press, New Haven, Conn.-London, 1971, A James K

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-02T19:18:45.271344Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9aa6b747-e3c4-4fa9-8c65-04899845f4a4 · outbound

This paper cites Alg` ebre et th´ eorie des nombres16(1962-1963), no.

Binary partial groups Alg` ebre et th´ eorie des nombres16(1962-1963), no

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-02T19:18:45.356699Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1a675aac-4dc7-467b-9dd9-6fdb74d55e2d · outbound

This paper cites California, Irvine, Calif., 1969; dedicated to Hanna Neumann), Stud.

Binary partial groups California, Irvine, Calif., 1969; dedicated to Hanna Neumann), Stud

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-02T19:18:45.457943Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation 00bb1522-3f0d-4124-af47-b79413e9f474 · inbound

On partial groups of small order cites this paper.

On partial groups of small order Binary partial groups

Reference 25

Resolution: verified exact; arxiv_id, observed 2026-07-08T02:18:42.105669Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.