Paper Citation Record · LEDGER

Matrix Formulation of Moreira Theorem

As of 14 August 2026, this Paper Citation Record lists 18 of 18 outbound references and 0 inbound Pith citation observations for arXiv:2501.16595.

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

pith.paper-citation-record.v1
2501.16595 v1

Coverage vector

measured 18 of 18 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T12:11:07.419025Z

measured 18 of 18 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

18 of 18 outbound references displayed

verified exact2
verified fuzzy13
unresolved3
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation a8297e20-8f0a-4d7a-bb20-35b8c3029161 · outbound

This paper cites an unresolved cited work.

Matrix Formulation of Moreira Theorem Unresolved cited work

Reference 1

Resolution: verified exact; raw_fallback, observed 2026-08-10T12:11:07.876855Z

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 5bcc4e7e-889f-4a26-8ee8-5b9c5719e97c · outbound

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

Matrix Formulation of Moreira Theorem Alweiss: Monochromatic sums and products of polynomials, Discrete Anal

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T12:11:08.120672Z

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 69ecafa7-f264-4df5-983c-bceb28f67553 · outbound

This paper cites Monochromatic Sums and Products over $\mathbb{Q}$.

Matrix Formulation of Moreira Theorem Monochromatic Sums and Products over $\mathbb{Q}$

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-10T12:11:07.342099Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ccaa2c2f-5f57-4ba2-a21b-d75f79a74fea · outbound

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

Matrix Formulation of Moreira Theorem Bergelson: Ergodic Ramsey theory—an update, in Ergodic Theory of Z ^d Actions (Warwick, 1993–1994), London Math

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T12:11:08.104084Z

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 51cc91c7-b11f-40a5-bf5f-1c556e670c1a · outbound

This paper cites Bergelson, and J.

Matrix Formulation of Moreira Theorem Bergelson, and J

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T12:11:08.082653Z

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 6e536a87-20dd-42f6-a0d9-1eabc6591993 · outbound

This paper cites Bergelson, and J.

Matrix Formulation of Moreira Theorem Bergelson, and J

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T12:11:08.064128Z

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 e118b4c2-caf9-4cf8-b271-e520c854c157 · outbound

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

Matrix Formulation of Moreira Theorem Bowen: Monochromatic products and sums in 2 -colorings of N , Adv

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T12:11:08.047471Z

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 955c9fe0-ddc8-4b7c-b84c-0bfa00e058cb · outbound

This paper cites Composite Ramsey theorems via trees.

Matrix Formulation of Moreira Theorem Composite Ramsey theorems via trees

Reference 8

Resolution: verified exact; local_arxiv, observed 2026-08-10T12:11:07.660377Z

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 d1cd6218-d7f3-407b-a9b7-78792dd252ff · outbound

This paper cites Erd o s: Problems and results on combinatorial number theory.

Matrix Formulation of Moreira Theorem Erd o s: Problems and results on combinatorial number theory

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T12:11:08.030373Z

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 89f715c7-083c-4008-9756-8a96536e4785 · outbound

This paper cites Goswami: Monochromatic Translated Product and Answering Sahasrabudhe's Conjecture, arXiv:2412.17868v1.

Matrix Formulation of Moreira Theorem Goswami: Monochromatic Translated Product and Answering Sahasrabudhe's Conjecture, arXiv:2412.17868v1

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-10T12:11:07.381484Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 41701c17-93d9-4ec5-a60c-895ab29914b9 · outbound

This paper cites an unresolved cited work.

Matrix Formulation of Moreira Theorem Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-10T12:11:08.011889Z

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 82e96d5e-895e-4027-8d0a-fc49e6bb73f2 · outbound

This paper cites Hindman: Finite sums from sequences within.

Matrix Formulation of Moreira Theorem Hindman: Finite sums from sequences within

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T12:11:07.994841Z

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 c89415ca-61c7-4ae6-bd5a-370058afc636 · outbound

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

Matrix Formulation of Moreira Theorem Hindman: Partitions and sums and products of integers, Trans

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T12:11:07.977593Z

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 094849ee-d5ae-4e79-b6a4-ec9f716ea82c · outbound

This paper cites Hindman, I.

Matrix Formulation of Moreira Theorem Hindman, I

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T12:11:07.960507Z

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 b74a49ee-08fa-4e5f-af74-c4f690a1274e · outbound

This paper cites Hindman, and D.

Matrix Formulation of Moreira Theorem Hindman, and D

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T12:11:07.943691Z

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 b71acf22-55ea-40ed-9570-89d90778d215 · outbound

This paper cites Moreira: Monochromatic sums and products in N , Annals of Mathematics (2) 185 (2017), no.

Matrix Formulation of Moreira Theorem Moreira: Monochromatic sums and products in N , Annals of Mathematics (2) 185 (2017), no

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T12:11:07.927109Z

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 1df04542-f4e2-4246-ae4a-7c431bb285ec · outbound

This paper cites Rado: Studien zur Kombinatorik, Math.

Matrix Formulation of Moreira Theorem Rado: Studien zur Kombinatorik, Math

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T12:11:07.910880Z

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 2d8644a9-09d7-45d8-a3f0-aeb19b7a0485 · outbound

This paper cites van der Waerden: Beweis einer baudetschen vermutung.

Matrix Formulation of Moreira Theorem van der Waerden: Beweis einer baudetschen vermutung

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T12:11:07.895140Z

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.