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Paper Citation Record · LEDGER

Stabilizers and NIP arithmetic regularity

As of 18 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.

pith.paper-citation-record.v1
2509.04271 v1

Coverage vector

measured 42 of 42 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T10:25:50.046321Z

measured 42 of 42 standing notices

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measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

42 of 42 outbound references displayed

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External citation measurements

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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

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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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

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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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

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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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

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 7777a9a5-665a-47e8-9dd5-0ccdfb966082 · outbound

This paper cites Breuillard, B.

Stabilizers and NIP arithmetic regularity Breuillard, B

Reference 5

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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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
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 26eea4cc-8ff3-46a5-bf30-5dc0fb0b3826 · outbound

This paper cites an unresolved cited work.

Stabilizers and NIP arithmetic regularity Unresolved cited work

Reference 7

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raw_fallback, observed 2026-08-05T10:25:50.635664Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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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

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no resolver link, observed 2026-08-05T10:25:49.886953Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T10:25:49.886953Z digest=sha256:3faaf8fa09d8a71bc8ef6a7f1f6e2f8ca23f51d4bdbc615b7d5002f840860941

Observation f6bc0125-5684-486c-b771-03f4d8a3bf7b · outbound

This paper cites Conant, E.

Stabilizers and NIP arithmetic regularity Conant, E

Reference 9

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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 2026-08-18T06:34:40.430872+00:00.

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Observation 902736a8-eb21-477c-95a2-2d523d1a52ca · outbound

This paper cites Conant and A.

Stabilizers and NIP arithmetic regularity Conant and A

Reference 10

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 3d3d9614-f614-4198-a4ec-8e8296fcecd3 · outbound

This paper cites an unresolved cited work.

Stabilizers and NIP arithmetic regularity Unresolved cited work

Reference 11

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raw_fallback, observed 2026-08-05T10:25:50.588277Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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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 2026-08-18T06:34:40.430872+00:00.

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Observation 2b782f2a-3819-4507-8968-276f5c797f7b · outbound

This paper cites Conant, A.

Stabilizers and NIP arithmetic regularity Conant, A

Reference 13

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-05T10:25:49.913231Z digest=sha256:b5f2e6ede456f0f84877da337c3acf7c7271f007afc8754ee6c75b41e6ff9511

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
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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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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 2026-08-18T06:34:40.430872+00:00.

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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
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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 2026-08-18T06:34:40.430872+00:00.

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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
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no resolver link, observed 2026-08-05T10:25:49.932731Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T10:25:49.932731Z digest=sha256:2b1f7ab181d9c633982e58f8dec392e184b0eaef8e6a8c141e89ac3f4699202b

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-05T10:25:49.937236Z digest=sha256:935b52ce594ca9e3bd6c8b2bb8adabbaf865f8186fd466c1ef63804430294ac7

Observation bfaa7191-a497-40ae-b7ac-210b0d9677eb · outbound

This paper cites Green and I.

Stabilizers and NIP arithmetic regularity Green and I

Reference 19

Resolution
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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 2026-08-18T06:34:40.430872+00:00.

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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 2026-08-18T06:34:40.430872+00:00.

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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
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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 2026-08-18T06:34:40.430872+00:00.

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Observation bc928cdc-3870-404b-a798-bc465b7f8fd0 · outbound

This paper cites Hrushovski, Y.

Stabilizers and NIP arithmetic regularity Hrushovski, Y

Reference 22

Resolution
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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 2026-08-18T06:34:40.430872+00:00.

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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 2026-08-18T06:34:40.430872+00:00.

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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
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raw_fallback, observed 2026-08-05T10:25:50.440078Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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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 2026-08-18T06:34:40.430872+00:00.

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Observation 4dfc6241-7642-4a57-a561-8623c8af3e97 · outbound

This paper cites Malliaris and S.

Stabilizers and NIP arithmetic regularity Malliaris and S

Reference 26

Resolution
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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 2026-08-18T06:34:40.430872+00:00.

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Observation 3e7294dd-ad70-427d-befe-b35035c9b1d5 · outbound

This paper cites Massicot and F.

Stabilizers and NIP arithmetic regularity Massicot and F

Reference 27

Resolution
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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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-05T10:25:49.978086Z digest=sha256:fdecabcfaa85b4dc9d7320b472b4e25c0010173de14926e3a38535b6ae4e6010

Observation 1c0cbbfe-13cb-4ce2-8d2b-1eb89ca1c017 · outbound

This paper cites Moran and A.

Stabilizers and NIP arithmetic regularity Moran and A

Reference 28

Resolution
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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 2026-08-18T06:34:40.430872+00:00.

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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 2026-08-18T06:34:40.430872+00:00.

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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
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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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-05T10:25:49.991640Z digest=sha256:7d15b5948a0e9f1c7ce5566886b57cb48fb12c51054e35f66b234fa60d7e5fed

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 2026-08-18T06:34:40.430872+00:00.

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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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-05T10:25:50.000671Z digest=sha256:524d1c3904dee6770edc4743464817317efcd885ce8e5f0530c80b78802d6196

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-05T10:25:50.004955Z digest=sha256:beadb10b4510450e27817c51567765fa2aec2068f20797d474a87d73c1f0d3bb

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-05T10:25:50.010033Z digest=sha256:045c00a120a61a1cbcda0dc76e6dca30b3bf1aed40ecbb4a3a22fb25b07e90fb

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-05T10:25:50.014440Z digest=sha256:42542c9a58ef97dd3e1c6e67c63858b77c12a6f504e4b97e6e6130400947e98d

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-05T10:25:50.019562Z digest=sha256:6737482e2f1bca66aea0bcd2c5bf2d32ffd5c1b47f9ec7584043f3729ea6bad1

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-05T10:25:50.024131Z digest=sha256:a18dd5bd7ecf6f5f7c9ff27772a9fcba9f6fbfcd7bbffb3c593b5a106d046616

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-05T10:25:50.028793Z digest=sha256:c4a0664a6dadce608e20f182f71e68275fa5a00a0be4f5762e3884e1e76ddb7c

Observation 92021777-1d94-4332-833f-e1508df7f8fc · outbound

This paper cites Tao and V.

Stabilizers and NIP arithmetic regularity 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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-05T10:25:50.033273Z digest=sha256:38b2ffb348d4e8b7719b621c7d3c1a153838fed24a1a906a3cebc2e0dbd7ddb2

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-05T10:25:50.037816Z digest=sha256:a540f60811cf44ccac163ad43c80836034d6bffd8186ec908fa063a1c726ad90

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-05T10:25:50.042056Z digest=sha256:dcdc26e6abcb4175a51a99691e86446a188c2398ccb93a66cc22915156455f57

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-05T10:25:50.046321Z digest=sha256:c247261906b7885aefdd1600e5d126953e9f6c2e5168791e000439aea7ded9c1

Pith citing papers

No inbound Pith citation observations are available.