Paper Citation Record · LEDGER

Orthogonality relations and operators on bounded quasi-implication algebras

As of 19 August 2026, this Paper Citation Record lists 21 of 21 outbound references and 0 inbound Pith citation observations for arXiv:2507.17724.

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

pith.paper-citation-record.v1
2507.17724 v1

Coverage vector

measured 21 of 21 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T18:25:44.476731Z

measured 21 of 21 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+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

21 of 21 outbound references displayed

verified exact0
verified fuzzy19
unresolved2
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation c1df55e6-ea17-40c7-9582-3c0aba3fcf66 · outbound

This paper cites C.: Semi-Boolean Algebra.

Orthogonality relations and operators on bounded quasi-implication algebras C.: Semi-Boolean Algebra

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:25:44.715040Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 4a4a17e6-b341-40eb-8d80-7963df864a28 · outbound

This paper cites C.: Implicational algebras.

Orthogonality relations and operators on bounded quasi-implication algebras C.: Implicational algebras

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:25:44.703322Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 01564887-371a-4faf-b0cf-85e7b8f55217 · outbound

This paper cites C.: Sets, Lattices, and Boolean Algebras.

Orthogonality relations and operators on bounded quasi-implication algebras C.: Sets, Lattices, and Boolean Algebras

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:25:44.692054Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation b8be107a-cc0e-43ef-8d56-2750d973f719 · outbound

This paper cites C.: Orthoimplication algebras.

Orthogonality relations and operators on bounded quasi-implication algebras C.: Orthoimplication algebras

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:25:44.680993Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 0fe2e278-3f1f-44dd-bcf8-0d1b303f9b28 · outbound

This paper cites Chapman & Hall Pure and Applied Mathematics (2011).

Orthogonality relations and operators on bounded quasi-implication algebras Chapman & Hall Pure and Applied Mathematics (2011)

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:25:44.670323Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation c842d4c8-d1be-438c-8e46-3c798445331b · outbound

This paper cites American Mathematical Society Publications, vol.

Orthogonality relations and operators on bounded quasi-implication algebras American Mathematical Society Publications, vol

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-15T18:25:44.425524Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2b0e1a73-be63-4d0e-9a78-c05d36336131 · outbound

This paper cites an unresolved cited work.

Orthogonality relations and operators on bounded quasi-implication algebras Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-15T18:25:44.653499Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 92850251-9f54-4628-b84f-b774ecef76c0 · outbound

This paper cites I.: The Stone space of an ortholattice.

Orthogonality relations and operators on bounded quasi-implication algebras I.: The Stone space of an ortholattice

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:25:44.644199Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation b0b4cc32-18fc-4e14-a1b7-76ef1943c9e2 · outbound

This paper cites I.: Orthomodularity is not elementary.

Orthogonality relations and operators on bounded quasi-implication algebras I.: Orthomodularity is not elementary

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:25:44.634366Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 455d9302-58af-4c8d-9847-ea0cf4c3045e · outbound

This paper cites Chelsea Publishing, New York (1962).

Orthogonality relations and operators on bounded quasi-implication algebras Chelsea Publishing, New York (1962)

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:25:44.624386Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation c2fb3b85-38e9-45a3-a9e7-1dd9fe9eef18 · outbound

This paper cites M.: The conditional in quantum logic.

Orthogonality relations and operators on bounded quasi-implication algebras M.: The conditional in quantum logic

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:25:44.613781Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation eab0102d-9b09-4c49-a3d5-247c00f4e691 · outbound

This paper cites M.: Material implication in orthomodular (and Boolean) latttices.

Orthogonality relations and operators on bounded quasi-implication algebras M.: Material implication in orthomodular (and Boolean) latttices

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:25:44.603472Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 691f0edb-4b60-4b01-b0b9-a4cabc771dca · outbound

This paper cites M.: Quasi-implication algebras, Part 1: Elementary theory.

Orthogonality relations and operators on bounded quasi-implication algebras M.: Quasi-implication algebras, Part 1: Elementary theory

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:25:44.593178Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 7cd2e94e-bfb8-4aa1-9d46-9b34e46a03ec · outbound

This paper cites M.: Quasi-implication algebras, Part 2: Structure theory.

Orthogonality relations and operators on bounded quasi-implication algebras M.: Quasi-implication algebras, Part 2: Structure theory

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:25:44.583294Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation a9aae651-cdea-425d-9dfc-f587893caba8 · outbound

This paper cites Journal of Physics A: Mathematical and Theoretical.

Orthogonality relations and operators on bounded quasi-implication algebras Journal of Physics A: Mathematical and Theoretical

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:25:44.572567Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 4daec832-84de-4793-89aa-005f1b765b03 · outbound

This paper cites Al- gebra Universalis, 86, article no.

Orthogonality relations and operators on bounded quasi-implication algebras Al- gebra Universalis, 86, article no

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:25:44.561047Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 2e1d8fb6-9356-4773-b514-8fee4335929d · outbound

This paper cites de la Uni´ on Matemfitica Argentina.

Orthogonality relations and operators on bounded quasi-implication algebras de la Uni´ on Matemfitica Argentina

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:25:44.550118Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation af19b0a2-e2e8-44b4-9ec0-e315eaab4c3a · outbound

This paper cites Pacific Journal of Mathematics.

Orthogonality relations and operators on bounded quasi-implication algebras Pacific Journal of Mathematics

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:25:44.539712Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 79a4619e-91ce-41d1-b2c5-e1793bb973ed · outbound

This paper cites Academic Press, New York, (1983).

Orthogonality relations and operators on bounded quasi-implication algebras Academic Press, New York, (1983)

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:25:44.529107Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 397db637-fd5f-4d89-b864-375069018488 · outbound

This paper cites D.: Atomic orthocomplemented lattices.

Orthogonality relations and operators on bounded quasi-implication algebras D.: Atomic orthocomplemented lattices

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:25:44.518427Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 50ddd1f8-74ef-478c-93ef-71288de9ab21 · outbound

This paper cites Journal of Algebra.

Orthogonality relations and operators on bounded quasi-implication algebras Journal of Algebra

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:25:44.507702Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Pith citing papers

No inbound Pith citation observations are available.