Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-05T10:25:50.046321Z
Paper Citation Record · LEDGER
Stabilizers and NIP arithmetic regularity
As of 7 August 2026, this Paper Citation Record lists 42 of 42 outbound references and 0 inbound Pith citation observations for arXiv:2509.04271.
A citation records a reference. It does not transfer a finding from one paper to another.
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One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+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
42 of 42 outbound references displayed
- verified exact2
- verified fuzzy30
- unresolved10
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation f7f82114-6f0f-46b7-9bf5-e1696cfa8290 · outbound
This paper cites an unresolved cited work.
Stabilizers and NIP arithmetic regularity Unresolved cited work
Reference 1
- Resolution
- unresolved
- raw_fallback, observed 2026-08-05T10:25:50.726780Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 8d7cca50-a686-4a90-923d-640dc88ada93 · outbound
This paper cites Assouad, Densit´ e et dimension, Ann.
Stabilizers and NIP arithmetic regularity Assouad, Densit´ e et dimension, Ann
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T10:25:50.711817Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 66490b93-ea39-4e74-8599-e184ffca735b · outbound
This paper cites Bogolio` uboff, Sur quelques propri´ et´ es arithm´ etiques des presque-p´ eriodes, Ann.
Stabilizers and NIP arithmetic regularity Bogolio` uboff, Sur quelques propri´ et´ es arithm´ etiques des presque-p´ eriodes, Ann
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T10:25:50.697299Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation f4fc59cd-1782-4a08-953a-2cbfa5c3569a · outbound
This paper cites Breuillard, Lectures on approximate groups and Hilbert’s 5th problem , Recent trends in combinatorics, IMA Vol.
Stabilizers and NIP arithmetic regularity Breuillard, Lectures on approximate groups and Hilbert’s 5th problem , Recent trends in combinatorics, IMA Vol
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T10:25:50.682238Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 7777a9a5-665a-47e8-9dd5-0ccdfb966082 · outbound
This paper cites Breuillard, B.
Stabilizers and NIP arithmetic regularity Breuillard, B
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T10:25:50.666979Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation cd372697-8ea4-4b91-bb7b-c4435e9aa361 · outbound
This paper cites Conant, On finite sets of small tripling or small alternation in arbitrary groups , Combin.
Stabilizers and NIP arithmetic regularity Conant, On finite sets of small tripling or small alternation in arbitrary groups , Combin
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T10:25:50.652515Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 26eea4cc-8ff3-46a5-bf30-5dc0fb0b3826 · outbound
This paper cites an unresolved cited work.
Stabilizers and NIP arithmetic regularity Unresolved cited work
Reference 7
- Resolution
- unresolved
- raw_fallback, observed 2026-08-05T10:25:50.635664Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 35c19f52-e39a-4aad-9d63-c335bac68855 · outbound
This paper cites Generic stability, randomizations, and NIP formulas.
Stabilizers and NIP arithmetic regularity Generic stability, randomizations, and NIP formulas
Reference 8
- Resolution
- unresolved
- no resolver link, observed 2026-08-05T10:25:49.886953Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f6bc0125-5684-486c-b771-03f4d8a3bf7b · outbound
This paper cites Conant, E.
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T10:25:50.620110Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 902736a8-eb21-477c-95a2-2d523d1a52ca · outbound
This paper cites Conant and A.
Stabilizers and NIP arithmetic regularity Conant and A
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T10:25:50.604110Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 3d3d9614-f614-4198-a4ec-8e8296fcecd3 · outbound
This paper cites an unresolved cited work.
Stabilizers and NIP arithmetic regularity Unresolved cited work
Reference 11
- Resolution
- unresolved
- raw_fallback, observed 2026-08-05T10:25:50.588277Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 17a2accf-4736-4d3e-aa6e-16bd387ce463 · outbound
This paper cites An analytic version of stable arithmetic regularity.
Stabilizers and NIP arithmetic regularity An analytic version of stable arithmetic regularity
Reference 12
- Resolution
- verified exact
- local_arxiv, observed 2026-08-05T10:25:50.130718Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 2b782f2a-3819-4507-8968-276f5c797f7b · outbound
This paper cites Conant, A.
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T10:25:50.573766Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 4aaf446e-a3e4-4eb8-9e41-499435201201 · outbound
This paper cites an unresolved cited work.
Stabilizers and NIP arithmetic regularity Unresolved cited work
Reference 14
- Resolution
- unresolved
- raw_fallback, observed 2026-08-05T10:25:50.559670Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 6e54843f-5722-4977-b638-7fb66305034c · outbound
This paper cites van den Dries, Approximate groups [according to Hrushovski and Breuillard, Green, Tao], Ast´ erisque (2015), no.
Stabilizers and NIP arithmetic regularity van den Dries, Approximate groups [according to Hrushovski and Breuillard, Green, Tao], Ast´ erisque (2015), no
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T10:25:50.545397Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation d9fd52bb-2c2b-47ae-8679-23289866825f · outbound
This paper cites On a conjecture of Marton.
Stabilizers and NIP arithmetic regularity On a conjecture of Marton
Reference 16
- Resolution
- verified exact
- local_arxiv, observed 2026-08-05T10:25:50.107670Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 61eaee9e-46cf-4dfd-972d-97547b4eb209 · outbound
This paper cites Marton's Conjecture in abelian groups with bounded torsion.
Stabilizers and NIP arithmetic regularity Marton's Conjecture in abelian groups with bounded torsion
Reference 17
- Resolution
- unresolved
- no resolver link, observed 2026-08-05T10:25:49.932731Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 7547fcdb-57bd-4d51-bf40-f0d9c289d4aa · outbound
This paper cites Green, A Szemer´ edi-type regularity lemma in abelian groups, with applications , Geom.
Stabilizers and NIP arithmetic regularity Green, A Szemer´ edi-type regularity lemma in abelian groups, with applications , Geom
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T10:25:50.530610Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation bfaa7191-a497-40ae-b7ac-210b0d9677eb · outbound
This paper cites Green and I.
Stabilizers and NIP arithmetic regularity Green and I
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T10:25:50.515419Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation fc412656-5a46-4756-8ffe-2107cdaa5342 · outbound
This paper cites Haussler, Sphere packing numbers for subsets of the Boolean n-cube with bounded Vapnik-Chervonenkis dimension , J.
Stabilizers and NIP arithmetic regularity Haussler, Sphere packing numbers for subsets of the Boolean n-cube with bounded Vapnik-Chervonenkis dimension , J
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T10:25:50.499769Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 3c23535d-7130-4e3d-a8a6-394f0c0da98d · outbound
This paper cites Hrushovski, Stable group theory and approximate subgroups , J.
Stabilizers and NIP arithmetic regularity Hrushovski, Stable group theory and approximate subgroups , J
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T10:25:50.483723Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation bc928cdc-3870-404b-a798-bc465b7f8fd0 · outbound
This paper cites Hrushovski, Y.
Stabilizers and NIP arithmetic regularity Hrushovski, Y
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T10:25:50.469307Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation da411a8a-a980-45b7-af63-a9249c742e34 · outbound
This paper cites Lov´ asz and B.
Stabilizers and NIP arithmetic regularity Lov´ asz and B
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T10:25:50.454343Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 89b9a28e-6985-43a8-88d4-ec56affe9696 · outbound
This paper cites Lovett, An exposition of Sanders’ quasi-polynomial Freiman-Ruzsa theorem , The- ory of Computing (2015), 1–14.
Stabilizers and NIP arithmetic regularity Lovett, An exposition of Sanders’ quasi-polynomial Freiman-Ruzsa theorem , The- ory of Computing (2015), 1–14
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T10:25:50.440078Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation f8b9132f-3610-4d2c-a7f4-c13225ba69e1 · outbound
This paper cites Lovett and O.
Stabilizers and NIP arithmetic regularity Lovett and O
Reference 25
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T10:25:50.424100Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 4dfc6241-7642-4a57-a561-8623c8af3e97 · outbound
This paper cites Malliaris and S.
Stabilizers and NIP arithmetic regularity Malliaris and S
Reference 26
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T10:25:50.409122Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 3e7294dd-ad70-427d-befe-b35035c9b1d5 · outbound
This paper cites Massicot and F.
Stabilizers and NIP arithmetic regularity Massicot and F
Reference 27
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T10:25:50.393908Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 1c0cbbfe-13cb-4ce2-8d2b-1eb89ca1c017 · outbound
This paper cites Moran and A.
Stabilizers and NIP arithmetic regularity Moran and A
Reference 28
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T10:25:50.379378Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 02c14854-2c13-4203-aad2-a555ee494879 · outbound
This paper cites Pillay, Remarks on compactifications of pseudofinite groups , Fund.
Stabilizers and NIP arithmetic regularity Pillay, Remarks on compactifications of pseudofinite groups , Fund
Reference 29
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T10:25:50.364978Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 713b0383-b8cf-4d9a-8d6d-0782a6368054 · outbound
This paper cites an unresolved cited work.
Stabilizers and NIP arithmetic regularity Unresolved cited work
Reference 30
- Resolution
- unresolved
- raw_fallback, observed 2026-08-05T10:25:50.350695Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 9fca8eb4-4dda-49cd-9e9a-b724dfbac1cc · outbound
This paper cites 258, 323– 326.
Stabilizers and NIP arithmetic regularity 258, 323– 326
Reference 31
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T10:25:50.336145Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 014f6a05-9802-42d6-8f2f-9a82ddd629f2 · outbound
This paper cites Sanders, On a nonabelian Balog-Szemer´ edi-type lemma, J.
Stabilizers and NIP arithmetic regularity Sanders, On a nonabelian Balog-Szemer´ edi-type lemma, J
Reference 32
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T10:25:50.320047Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 744d3f73-515e-47ff-a9d9-cf4993dd8c77 · outbound
This paper cites PDE 5 (2012), no.
Stabilizers and NIP arithmetic regularity PDE 5 (2012), no
Reference 33
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T10:25:50.304731Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 7a09b477-ff56-4fdc-84ac-2cc6ad25ab50 · outbound
This paper cites Simon, Rosenthal compacta and NIP formulas , Fund.
Stabilizers and NIP arithmetic regularity Simon, Rosenthal compacta and NIP formulas , Fund
Reference 34
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T10:25:50.290008Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 29f85ef5-75cb-4614-9aa9-874cf5ac2dfd · outbound
This paper cites an unresolved cited work.
Stabilizers and NIP arithmetic regularity Unresolved cited work
Reference 35
- Resolution
- unresolved
- raw_fallback, observed 2026-08-05T10:25:50.275014Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 9f28bf96-0572-424d-bd1a-58aa9da26f95 · outbound
This paper cites Sisask, Convolutions of sets with bounded VC-dimension are uniformly continuous, Discrete Anal.
Stabilizers and NIP arithmetic regularity Sisask, Convolutions of sets with bounded VC-dimension are uniformly continuous, Discrete Anal
Reference 36
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T10:25:50.260197Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 55ffe8a2-25d0-42d2-a5ab-2764d522bfb1 · outbound
This paper cites Szemer´ edi,Regular partitions of graphs , Probl` emes combinatoires et th´ eorie des graphes (Colloq.
Stabilizers and NIP arithmetic regularity Szemer´ edi,Regular partitions of graphs , Probl` emes combinatoires et th´ eorie des graphes (Colloq
Reference 37
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T10:25:50.244863Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 69ac91ba-f53d-44a3-9852-0e2c8ebf212a · outbound
This paper cites Tao, Product set estimates for non-commutative groups, Combinatorica 28 (2008), no.
Stabilizers and NIP arithmetic regularity Tao, Product set estimates for non-commutative groups, Combinatorica 28 (2008), no
Reference 38
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T10:25:50.228471Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 92021777-1d94-4332-833f-e1508df7f8fc · outbound
This paper cites Tao and V.
Reference 39
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T10:25:50.212993Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 71311212-9bbb-4dce-86e5-fcd136ea2e7d · outbound
This paper cites Terry and J.
Stabilizers and NIP arithmetic regularity Terry and J
Reference 40
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T10:25:50.197144Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation f1b0f3c6-3d8b-4b4f-aa3b-34737f07be93 · outbound
This paper cites an unresolved cited work.
Stabilizers and NIP arithmetic regularity Unresolved cited work
Reference 41
- Resolution
- unresolved
- raw_fallback, observed 2026-08-05T10:25:50.180658Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 6724b7cd-1380-4690-a867-d56cadb5d864 · outbound
This paper cites an unresolved cited work.
Stabilizers and NIP arithmetic regularity Unresolved cited work
Reference 42
- Resolution
- unresolved
- raw_fallback, observed 2026-08-05T10:25:50.164744Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Pith citing papers
No inbound Pith citation observations are available.