Paper Citation Record · LEDGER

Homogeneous Patterns in Ramsey Theory

As of 14 August 2026, this Paper Citation Record lists 33 of 33 outbound references and 0 inbound Pith citation observations for arXiv:2501.17203.

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

pith.paper-citation-record.v1
2501.17203 v2

Coverage vector

measured 33 of 33 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T12:17:11.543320Z

measured 33 of 33 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+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

33 of 33 outbound references displayed

verified exact1
verified fuzzy24
unresolved8
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation d9a6b5fc-7b7a-4829-a0a2-cf7c17cedd7b · outbound

This paper cites Alweiss: Monochromatic sums and products of polynomials, Discrete Anal.

Homogeneous Patterns in Ramsey Theory Alweiss: Monochromatic sums and products of polynomials, Discrete Anal

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T12:17:11.997837Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation efe5be4e-1746-4ba4-b5e2-f4a48309791f · outbound

This paper cites Alexeev and J.

Homogeneous Patterns in Ramsey Theory Alexeev and J

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T12:17:11.984178Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 15d78b0a-f642-4ade-bb44-7cdd01438fa0 · outbound

This paper cites Bergelson: Ergodic Ramsey theory—an update, in Ergodic Theory of Zd Actions (Warwick, 1993–1994), London Math.

Homogeneous Patterns in Ramsey Theory Bergelson: Ergodic Ramsey theory—an update, in Ergodic Theory of Zd Actions (Warwick, 1993–1994), London Math

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T12:17:11.972721Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation f3739ddb-0b59-4926-96a9-060c947b8097 · outbound

This paper cites Bergelson and A.

Homogeneous Patterns in Ramsey Theory Bergelson and A

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T12:17:11.957636Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation f18b1f0d-3791-4d1e-812b-fcaf6470f025 · outbound

This paper cites Bergelson, J.

Homogeneous Patterns in Ramsey Theory Bergelson, J

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T12:17:11.944528Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 0c54e1c0-9610-4ba6-9797-73f7e6b13e30 · outbound

This paper cites Bowen: Monochromatic products and sums in 2-colorings of N, Adv.

Homogeneous Patterns in Ramsey Theory Bowen: Monochromatic products and sums in 2-colorings of N, Adv

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T12:17:11.932583Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation c7b99b00-bd8f-45d1-a5b2-93d451b492ed · outbound

This paper cites Composite Ramsey theorems via trees.

Homogeneous Patterns in Ramsey Theory Composite Ramsey theorems via trees

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-10T12:17:11.441921Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3f4b88c2-5649-483d-a766-40d657d6361f · outbound

This paper cites Erd˝ os: Problems and results on combinatorial number theor y.

Homogeneous Patterns in Ramsey Theory Erd˝ os: Problems and results on combinatorial number theor y

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T12:17:11.919523Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 156962f0-ab6a-4ff2-b1cf-5fd6b8c8caf1 · outbound

This paper cites Frantzikinakis, O.

Homogeneous Patterns in Ramsey Theory Frantzikinakis, O

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T12:17:11.907882Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation beaf8b24-c362-479d-ab58-3caf9aa27e85 · outbound

This paper cites Partition regularity of generalized Pythagorean pairs.

Homogeneous Patterns in Ramsey Theory Partition regularity of generalized Pythagorean pairs

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-10T12:17:11.452217Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation afba429b-bf6d-44c1-bff4-6b542f8cdcbe · outbound

This paper cites Fox and R.

Homogeneous Patterns in Ramsey Theory Fox and R

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T12:17:11.895228Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 22989a51-44e2-423a-ba16-82511bb4fd0b · outbound

This paper cites Fox and D.

Homogeneous Patterns in Ramsey Theory Fox and D

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T12:17:11.882678Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 9fc1db40-f36e-4e69-baaf-160c0e4ba027 · outbound

This paper cites Golowich: Resolving a conjecture on degree of regularity of lin ear homogeneous equations, Electron.

Homogeneous Patterns in Ramsey Theory Golowich: Resolving a conjecture on degree of regularity of lin ear homogeneous equations, Electron

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T12:17:11.869257Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 49707e1b-017e-4fef-8bce-cd816a269771 · outbound

This paper cites an unresolved cited work.

Homogeneous Patterns in Ramsey Theory Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-10T12:17:11.857627Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 66d85972-1487-4567-974f-3e1d1e161a8b · outbound

This paper cites Graham: Some of my favorite problems in Ramsey theory, in Combinatorial Number Theory (2007), 229–236, de Gruyter, Berlin.

Homogeneous Patterns in Ramsey Theory Graham: Some of my favorite problems in Ramsey theory, in Combinatorial Number Theory (2007), 229–236, de Gruyter, Berlin

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T12:17:11.844744Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation bf0d8d91-57ca-40d6-b933-98c578caa221 · outbound

This paper cites Graham: Old and new problems in Ramsey theory, in Horizons of Combinatorics , Bolyai Soc.

Homogeneous Patterns in Ramsey Theory Graham: Old and new problems in Ramsey theory, in Horizons of Combinatorics , Bolyai Soc

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T12:17:11.831574Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation bad6986f-9372-4e9d-a594-78963f6a97eb · outbound

This paper cites an unresolved cited work.

Homogeneous Patterns in Ramsey Theory Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-10T12:17:11.813200Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 79b29003-03a0-4311-954f-5ed7b3ede4a7 · outbound

This paper cites Green and A.

Homogeneous Patterns in Ramsey Theory Green and A

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T12:17:11.797859Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 5458648e-59bc-4f08-be87-8638e226619b · outbound

This paper cites Green and T.

Homogeneous Patterns in Ramsey Theory Green and T

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T12:17:11.785699Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 00b7dfe1-59ef-48cd-8db1-cb6c6be6a008 · outbound

This paper cites Heule, O.

Homogeneous Patterns in Ramsey Theory Heule, O

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T12:17:11.772170Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 1bc13523-0ddd-4ea4-8c2e-37314854c37f · outbound

This paper cites Hindman: Partitions and sums and products of integers, Trans.

Homogeneous Patterns in Ramsey Theory Hindman: Partitions and sums and products of integers, Trans

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-10T12:17:11.496008Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2e7c3eb1-fd9f-4283-ba0c-89a6d7d1589e · outbound

This paper cites Hindman: Partitions and pairwise sums and products, J.

Homogeneous Patterns in Ramsey Theory Hindman: Partitions and pairwise sums and products, J

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T12:17:11.751595Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 5011c94d-fc25-4de8-91a2-89c839e08c92 · outbound

This paper cites Hindman, I.

Homogeneous Patterns in Ramsey Theory Hindman, I

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T12:17:11.733984Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation bcb9aa61-193c-43dc-9964-a639d8a04c1f · outbound

This paper cites Hindman: Problems and new results in the algebra of Beta S and Ramsey theory, in Unsolved Problems in Mathematics for the 21st Century , J.

Homogeneous Patterns in Ramsey Theory Hindman: Problems and new results in the algebra of Beta S and Ramsey theory, in Unsolved Problems in Mathematics for the 21st Century , J

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T12:17:11.718334Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 30d5c4c0-030d-49b2-a1f6-822e83e3f359 · outbound

This paper cites Hindman and D.

Homogeneous Patterns in Ramsey Theory Hindman and D

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T12:17:11.703455Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 0c9cd9c9-c5a5-44c3-b959-1196db82ae04 · outbound

This paper cites Hindman and D.

Homogeneous Patterns in Ramsey Theory Hindman and D

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T12:17:11.691241Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation a6835319-9ffd-4373-b594-dfb462483735 · outbound

This paper cites an unresolved cited work.

Homogeneous Patterns in Ramsey Theory Unresolved cited work

Reference 27

Resolution: unresolved; raw_fallback, observed 2026-08-10T12:17:11.668765Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 7df06adf-7527-4357-a281-d03c76c793f7 · outbound

This paper cites Problems on infinite sumset configurations in the integers and beyond.

Homogeneous Patterns in Ramsey Theory Problems on infinite sumset configurations in the integers and beyond

Reference 28

Resolution: verified exact; local_arxiv, observed 2026-08-10T12:17:11.584488Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 567488ff-f064-49c9-940e-15f31605351e · outbound

This paper cites Moreira: Monochromatic sums and products in N, Ann.

Homogeneous Patterns in Ramsey Theory Moreira: Monochromatic sums and products in N, Ann

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T12:17:11.654791Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 4d8ea669-7bd7-419f-9f02-4fc3f736820d · outbound

This paper cites Rado: Studien zur Kombinatorik, Math.

Homogeneous Patterns in Ramsey Theory Rado: Studien zur Kombinatorik, Math

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-10T12:17:11.533365Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b58c3997-1727-46d4-ae18-b70559a89ca3 · outbound

This paper cites Schur: ¨Uber die Kongruenz xm ` ym ” zm pmod pq, Jahresber.

Homogeneous Patterns in Ramsey Theory Schur: ¨Uber die Kongruenz xm ` ym ” zm pmod pq, Jahresber

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T12:17:11.637985Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 3a033423-4347-440d-929b-0793e155c109 · outbound

This paper cites an unresolved cited work.

Homogeneous Patterns in Ramsey Theory Unresolved cited work

Reference 32

Resolution: unresolved; raw_fallback, observed 2026-08-10T12:17:11.627847Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation f6ffb450-243e-4853-b161-04196ded30e6 · outbound

This paper cites Walter: Combinatorial proofs of the polynomial van der Waer den theorem and the polynomial Hales–Jewett theorem, J.

Homogeneous Patterns in Ramsey Theory Walter: Combinatorial proofs of the polynomial van der Waer den theorem and the polynomial Hales–Jewett theorem, J

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T12:17:11.617273Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Pith citing papers

No inbound Pith citation observations are available.