Paper Citation Record · LEDGER

Random-projector quantum diagnostics of Ramsey numbers and a prime-factor heuristic for $R(5,5)=45$

As of 13 August 2026, this Paper Citation Record lists 30 of 30 outbound references and 0 inbound Pith citation observations for arXiv:2508.16699.

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

pith.paper-citation-record.v1
2508.16699 v2

Coverage vector

measured 30 of 30 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T17:39:55.326825Z

measured 30 of 30 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+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

30 of 30 outbound references displayed

verified exact1
verified fuzzy13
unresolved16
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 7457e6ec-96bb-4757-824f-537680267720 · outbound

This paper cites an unresolved cited work.

Random-projector quantum diagnostics of Ramsey numbers and a prime-factor heuristic for $R(5,5)=45$ Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-05T17:40:00.578333Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 0dfd1a58-f7c9-4438-9103-f4e2e0d09c13 · outbound

This paper cites Exoo, Journal of Graph Theory13, 97 (1989).

Random-projector quantum diagnostics of Ramsey numbers and a prime-factor heuristic for $R(5,5)=45$ Exoo, Journal of Graph Theory13, 97 (1989)

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T17:40:00.148932Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation c5c36271-b253-45cb-8c00-66377893d232 · outbound

This paper cites $R(5,5)\le 46$.

Random-projector quantum diagnostics of Ramsey numbers and a prime-factor heuristic for $R(5,5)=45$ $R(5,5)\le 46$

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-05T17:39:52.563928Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c533069e-f7dc-48c7-86fc-3d067e3f68e4 · outbound

This paper cites Angeltveit and B.

Random-projector quantum diagnostics of Ramsey numbers and a prime-factor heuristic for $R(5,5)=45$ Angeltveit and B

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T17:39:59.861050Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 26d98af5-03b0-45f8-8aaa-83895467123d · outbound

This paper cites an unresolved cited work.

Random-projector quantum diagnostics of Ramsey numbers and a prime-factor heuristic for $R(5,5)=45$ Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-05T17:39:59.512961Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation e09886b6-b8dc-475e-b95a-f8932b8bf442 · outbound

This paper cites an unresolved cited work.

Random-projector quantum diagnostics of Ramsey numbers and a prime-factor heuristic for $R(5,5)=45$ Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-05T17:39:59.374366Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation fd2f12b9-3f3a-4074-a850-5ac5f2b6a5d3 · outbound

This paper cites Alon and J.

Random-projector quantum diagnostics of Ramsey numbers and a prime-factor heuristic for $R(5,5)=45$ Alon and J

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T17:39:59.195685Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 782c4c27-e03e-4e60-87b3-ad0856722a13 · outbound

This paper cites an unresolved cited work.

Random-projector quantum diagnostics of Ramsey numbers and a prime-factor heuristic for $R(5,5)=45$ Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-05T17:39:59.041580Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 9c883196-266e-4741-9a41-9a0799fb574e · outbound

This paper cites an unresolved cited work.

Random-projector quantum diagnostics of Ramsey numbers and a prime-factor heuristic for $R(5,5)=45$ Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-05T17:39:58.866722Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 09880e1e-dfd6-4e52-89b4-08cf52b9dc7d · outbound

This paper cites Graded Paraparticle Algebra of Majorana Fields for Multidimensional Quantum Computing with Structured Light.

Random-projector quantum diagnostics of Ramsey numbers and a prime-factor heuristic for $R(5,5)=45$ Graded Paraparticle Algebra of Majorana Fields for Multidimensional Quantum Computing with Structured Light

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-05T17:39:53.418281Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5095d76e-3c2f-428d-87a3-46543dc3c8fc · outbound

This paper cites an unresolved cited work.

Random-projector quantum diagnostics of Ramsey numbers and a prime-factor heuristic for $R(5,5)=45$ Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-05T17:39:58.718199Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation fdd1e6eb-3c61-4667-8a82-54f723a509b5 · outbound

This paper cites New bounds for Ramsey numbers $R(K_k-e,K_l-e)$.

Random-projector quantum diagnostics of Ramsey numbers and a prime-factor heuristic for $R(5,5)=45$ New bounds for Ramsey numbers $R(K_k-e,K_l-e)$

Reference 12

Resolution: verified exact; local_arxiv, observed 2026-08-05T17:39:55.551012Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 2f4e50c5-9c7d-4e35-83f9-492681c1e860 · outbound

This paper cites Wang, Physical Review A93, 032301 (2016).

Random-projector quantum diagnostics of Ramsey numbers and a prime-factor heuristic for $R(5,5)=45$ Wang, Physical Review A93, 032301 (2016)

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T17:39:58.511473Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation fd8303b0-5173-4db9-abf5-386aca011aff · outbound

This paper cites Gaitan and L.

Random-projector quantum diagnostics of Ramsey numbers and a prime-factor heuristic for $R(5,5)=45$ Gaitan and L

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T17:39:58.381891Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation b2932df7-2cb4-49b1-8170-3e62c9e93eb1 · outbound

This paper cites Erd˝ os, Bulletin of the American Mathematical Society 53, 292 (1947).

Random-projector quantum diagnostics of Ramsey numbers and a prime-factor heuristic for $R(5,5)=45$ Erd˝ os, Bulletin of the American Mathematical Society 53, 292 (1947)

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T17:39:58.230495Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation b0db1fd5-3211-45ac-9505-7c31deaffd1b · outbound

This paper cites an unresolved cited work.

Random-projector quantum diagnostics of Ramsey numbers and a prime-factor heuristic for $R(5,5)=45$ Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-05T17:39:58.021801Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 11001837-ae1c-4bd6-8415-e42bfeb9f0c1 · outbound

This paper cites an unresolved cited work.

Random-projector quantum diagnostics of Ramsey numbers and a prime-factor heuristic for $R(5,5)=45$ Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-05T17:39:57.832060Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 6a01a7f9-a046-438d-ae5d-a3e6711f6fe7 · outbound

This paper cites an unresolved cited work.

Random-projector quantum diagnostics of Ramsey numbers and a prime-factor heuristic for $R(5,5)=45$ Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-05T17:39:57.660614Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 59cb8a62-e364-477c-8ccd-6ebda4b810fd · outbound

This paper cites an unresolved cited work.

Random-projector quantum diagnostics of Ramsey numbers and a prime-factor heuristic for $R(5,5)=45$ Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-05T17:39:57.476786Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 5a7ca42b-9963-4caa-a722-4ef6d265f035 · outbound

This paper cites an unresolved cited work.

Random-projector quantum diagnostics of Ramsey numbers and a prime-factor heuristic for $R(5,5)=45$ Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-05T17:39:57.322022Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 090c36fc-8d7b-4021-a565-8b4461da19f4 · outbound

This paper cites Mathon, Journal of Combinatorial Theory, Series B 42, 122 (1987).

Random-projector quantum diagnostics of Ramsey numbers and a prime-factor heuristic for $R(5,5)=45$ Mathon, Journal of Combinatorial Theory, Series B 42, 122 (1987)

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T17:39:57.140864Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation cbab893b-8a3e-401b-9286-f21e319e6499 · outbound

This paper cites Xu and S.

Random-projector quantum diagnostics of Ramsey numbers and a prime-factor heuristic for $R(5,5)=45$ Xu and S

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T17:39:56.939856Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation b8d7a749-e11c-49e9-a7c2-2751bc2557ba · outbound

This paper cites McCarthy and C.

Random-projector quantum diagnostics of Ramsey numbers and a prime-factor heuristic for $R(5,5)=45$ McCarthy and C

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T17:39:56.794899Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation ef6fc997-00d3-4054-8583-d52480074aac · outbound

This paper cites Exoo, Paley graph data: Clique/chromatic num- bers and ramsey bounds,https://cs.indstate.edu/ ge/Paley/index.html, accessed Aug.

Random-projector quantum diagnostics of Ramsey numbers and a prime-factor heuristic for $R(5,5)=45$ Exoo, Paley graph data: Clique/chromatic num- bers and ramsey bounds,https://cs.indstate.edu/ ge/Paley/index.html, accessed Aug

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T17:39:56.656180Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 3bb0cdf8-3455-4960-a28a-cedb05c483ea · outbound

This paper cites an unresolved cited work.

Random-projector quantum diagnostics of Ramsey numbers and a prime-factor heuristic for $R(5,5)=45$ Unresolved cited work

Reference 25

Resolution: unresolved; raw_fallback, observed 2026-08-05T17:39:56.517453Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation db4113bb-c8ba-442d-af5e-dfb16e7956cd · outbound

This paper cites Cariolaro, G.

Random-projector quantum diagnostics of Ramsey numbers and a prime-factor heuristic for $R(5,5)=45$ Cariolaro, G

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T17:39:56.316861Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation f524d0b2-f65d-4ffe-b853-4a9f19d4d7d9 · outbound

This paper cites Cariolaro, Australasian Journal of Combinatorics37, 301 (2007).

Random-projector quantum diagnostics of Ramsey numbers and a prime-factor heuristic for $R(5,5)=45$ Cariolaro, Australasian Journal of Combinatorics37, 301 (2007)

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T17:39:56.168281Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation b0f10a04-c111-4cbc-894e-5b2f10f99113 · outbound

This paper cites an unresolved cited work.

Random-projector quantum diagnostics of Ramsey numbers and a prime-factor heuristic for $R(5,5)=45$ Unresolved cited work

Reference 28

Resolution: unresolved; raw_fallback, observed 2026-08-05T17:39:56.017301Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation a8425af0-31f9-45e8-87f9-0f16d2a96081 · outbound

This paper cites Dasgupta and A.

Random-projector quantum diagnostics of Ramsey numbers and a prime-factor heuristic for $R(5,5)=45$ Dasgupta and A

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T17:39:55.824057Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 991b42c4-5250-4ad4-8afd-d7651802a5e0 · outbound

This paper cites Circuit Transformations for Quantum Architectures.

Random-projector quantum diagnostics of Ramsey numbers and a prime-factor heuristic for $R(5,5)=45$ Circuit Transformations for Quantum Architectures

Reference 2019

Resolution: unresolved; no resolver link, observed 2026-08-05T17:39:53.313086Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.