Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-11T11:41:29.643813Z
Paper Citation Record · LEDGER
Induced arithmetic removal for partition-regular patterns of complexity 1
As of 12 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.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
22 of 22 outbound references displayed
- verified exact1
- verified fuzzy20
- unresolved1
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
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 2026-08-12T06:34:41.77262+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
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 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
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 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
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 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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+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
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 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
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 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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+00:00.
Pith citing papers
No inbound Pith citation observations are available.