Paper Citation Record · LEDGER

Induced arithmetic removal for partition-regular patterns of complexity 1

As of 13 August 2026, this Paper Citation Record lists 22 of 22 outbound references and 0 inbound Pith citation observations for arXiv:2412.15170.

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

pith.paper-citation-record.v1
2412.15170 v3

Coverage vector

measured 22 of 22 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T11:41:29.643813Z

measured 22 of 22 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+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

22 of 22 outbound references displayed

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External citation measurements

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Outbound references

Observation 18fc8bed-c777-4274-8faf-223cdb5b1b65 · outbound

This paper cites Efficient testing of large graphs.

Induced arithmetic removal for partition-regular patterns of complexity 1 Efficient testing of large graphs

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:41:30.130731Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 9a5c6b40-86c9-41bd-af47-7569ac475862 · outbound

This paper cites Rado’s Theorem for finite fields.

Induced arithmetic removal for partition-regular patterns of complexity 1 Rado’s Theorem for finite fields

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:41:30.112812Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 5dd4ca6f-33cf-4705-bd21-055dcc631d92 · outbound

This paper cites Every locally characterized affine-invariant property is testable.

Induced arithmetic removal for partition-regular patterns of complexity 1 Every locally characterized affine-invariant property is testable

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:41:30.097093Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation f3ca4b27-7f67-4102-9338-9e55669d97ae · outbound

This paper cites A unified framework for testing linear-invariant properties.

Induced arithmetic removal for partition-regular patterns of complexity 1 A unified framework for testing linear-invariant properties

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:41:30.075854Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 704ebfb2-b1ed-499b-b3db-748a7c1cfd84 · outbound

This paper cites Graph removal lemmas.

Induced arithmetic removal for partition-regular patterns of complexity 1 Graph removal lemmas

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:41:30.060760Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 438e7280-a88c-4e66-9a33-78f561721a4e · outbound

This paper cites Partition theorems for abelian groups.

Induced arithmetic removal for partition-regular patterns of complexity 1 Partition theorems for abelian groups

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:41:30.033850Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 0a1d787b-b90d-48a0-a257-a24ea8f10c7a · outbound

This paper cites Induced arithmetic removal: complexity 1 patterns over finite fields.

Induced arithmetic removal for partition-regular patterns of complexity 1 Induced arithmetic removal: complexity 1 patterns over finite fields

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:41:30.008383Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation c09f2b31-5dce-4a7f-bffe-d0e1d595e442 · outbound

This paper cites A lower bound for the strong arithmetic regularity lemma.

Induced arithmetic removal for partition-regular patterns of complexity 1 A lower bound for the strong arithmetic regularity lemma

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:41:29.991515Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 5ca221fe-1399-40a1-950e-a04d71c26f09 · outbound

This paper cites A new proof of Szemer´ edi’s theorem.

Induced arithmetic removal for partition-regular patterns of complexity 1 A new proof of Szemer´ edi’s theorem

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:41:29.977118Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation bfa02f06-27b8-4c7f-80ee-4d1578beae29 · outbound

This paper cites Decompositions, approximate structure, transference, and the Hahn- Banach theorem.

Induced arithmetic removal for partition-regular patterns of complexity 1 Decompositions, approximate structure, transference, and the Hahn- Banach theorem

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:41:29.963398Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 08334dc1-fab9-4d37-9a8e-29fb6f12914c · outbound

This paper cites The true complexity of a system of linear equations.

Induced arithmetic removal for partition-regular patterns of complexity 1 The true complexity of a system of linear equations

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:41:29.939749Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 755ced96-3b88-4a96-b022-3bab1d3d3033 · outbound

This paper cites Linear forms and higher-degree uniformity for functions on Fn p.

Induced arithmetic removal for partition-regular patterns of complexity 1 Linear forms and higher-degree uniformity for functions on Fn p

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:41:29.912771Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation bfcd0700-0ede-4b74-b914-cc2d153cd6d1 · outbound

This paper cites A Szemer´ edi-type regularity lemma in abelian groups, with applications.

Induced arithmetic removal for partition-regular patterns of complexity 1 A Szemer´ edi-type regularity lemma in abelian groups, with applications

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:41:29.891060Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 86b112a6-c94d-4ef8-b974-80d0a08daf96 · outbound

This paper cites Fourier uniformity on subspaces.

Induced arithmetic removal for partition-regular patterns of complexity 1 Fourier uniformity on subspaces

Reference 14

Resolution: verified exact; local_arxiv, observed 2026-08-11T11:41:29.729641Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation a4a344ee-c07f-45f3-9cb3-47cb3a2e328a · outbound

This paper cites Montr´ eal notes on quadratic Fourier analysis.

Induced arithmetic removal for partition-regular patterns of complexity 1 Montr´ eal notes on quadratic Fourier analysis

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:41:29.876337Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation eae46234-5511-4fba-a178-ecc604e6ae52 · outbound

This paper cites An improved lower bound for arithmetic regularity.

Induced arithmetic removal for partition-regular patterns of complexity 1 An improved lower bound for arithmetic regularity

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:41:29.860251Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation c7247c80-e5c1-4ef2-9dda-f5407543c79d · outbound

This paper cites True complexity and iterated Cauchy--Schwarz.

Induced arithmetic removal for partition-regular patterns of complexity 1 True complexity and iterated Cauchy--Schwarz

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-11T11:41:29.616919Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3724cc69-b05f-40e8-852d-a835dd1b0d21 · outbound

This paper cites Studien zur Kombinatorik.

Induced arithmetic removal for partition-regular patterns of complexity 1 Studien zur Kombinatorik

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:41:29.841756Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 8d91f546-3ec0-425b-bd08-00ba22485a35 · outbound

This paper cites On the number of monochromatic solutions of integer linear systems on abelian groups.

Induced arithmetic removal for partition-regular patterns of complexity 1 On the number of monochromatic solutions of integer linear systems on abelian groups

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:41:29.820910Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation e3fab78b-ceb1-4a27-b2c0-88342632efc4 · outbound

This paper cites Regular partitions of graphs.

Induced arithmetic removal for partition-regular patterns of complexity 1 Regular partitions of graphs

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:41:29.796875Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation cbbef317-3b71-41b5-8ec4-1b670dd978bd · outbound

This paper cites Testing linear-invariant properties.

Induced arithmetic removal for partition-regular patterns of complexity 1 Testing linear-invariant properties

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:41:29.769616Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 5eb1ef4d-3d15-446e-a3a4-c1e9456c4f56 · outbound

This paper cites For any functions f1,.

Induced arithmetic removal for partition-regular patterns of complexity 1 For any functions f1,

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:41:29.751756Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Pith citing papers

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