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Paper Citation Record · LEDGER

A weak regularity lemma for polynomials

As of 22 August 2026, this Paper Citation Record lists 30 of 30 outbound references and 0 inbound Pith citation observations for arXiv:2509.21536.

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

pith.paper-citation-record.v1
2509.21536 v4

Coverage vector

measured 30 of 30 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T16:07:18.267953Z

measured 30 of 30 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+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

30 of 30 outbound references displayed

  • verified exact4
  • verified fuzzy22
  • unresolved4
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 81c9b62e-3a94-413b-8846-1e4d79bc5922 · outbound

This paper cites Ananyan and M.

A weak regularity lemma for polynomials Ananyan and M

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T16:07:19.072068Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-15T16:07:18.110732Z digest=sha256:f019ee05e499c1ddaba622d7592ba7c2ee1b459365b72afb06bf43d678fcddfb

Observation 6c9037ed-035b-4871-ac24-cfbb51527c1f · outbound

This paper cites Bhowmick and S.

A weak regularity lemma for polynomials Bhowmick and S

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T16:07:19.055047Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-15T16:07:18.117913Z digest=sha256:531e4748a35a5c9a2d8896e3587ad35c9b76967f460451b75fdcc868dc960f51

Observation 28dbd7f6-3e3b-4472-8973-0fd8b07a3938 · outbound

This paper cites Bogdanov and E.

A weak regularity lemma for polynomials Bogdanov and E

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T16:07:19.039012Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-15T16:07:18.124510Z digest=sha256:a32059cf738a188d998ce5c287ba5553326757e447adccdc90a8c26ec92f3742

Observation 783b9d01-0c9a-43e5-8522-f432818a968a · outbound

This paper cites Cohen and G.

A weak regularity lemma for polynomials Cohen and G

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T16:07:19.021329Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-15T16:07:18.130005Z digest=sha256:4e8b4db4ddd9da2a52b0c9c4333c87f44b5934749951b6aa3804863e26060d36

Observation 7bcd9d28-fada-4864-bd73-d8855a417ade · outbound

This paper cites Deterministic identity testing paradigms for bounded top-fanin depth-4 circuits.

A weak regularity lemma for polynomials Deterministic identity testing paradigms for bounded top-fanin depth-4 circuits

Reference 5

Resolution
verified exact
local_arxiv, observed 2026-08-15T16:07:18.604067Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-15T16:07:18.135582Z digest=sha256:65eb2adab322139e05b8b19db2cfbeede6618bfc843c65fa4cc42ca9fcc7e06d

Observation 13bf31be-20eb-4f6c-9514-4262936bf473 · outbound

This paper cites Erman, S.

A weak regularity lemma for polynomials Erman, S

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T16:07:19.002755Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-15T16:07:18.141330Z digest=sha256:42c89fc1ade24da9e4e7d18ad471c7fbcbe29185cef0c638a39c95c9f4687e20

Observation e3ab5e5f-93e6-414a-afd0-d606c6dbb3f2 · outbound

This paper cites Frieze and R.

A weak regularity lemma for polynomials Frieze and R

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T16:07:18.984627Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-15T16:07:18.147260Z digest=sha256:e97b735bdd3e2adb61979a9d6a5a4dbc73cd20982b64c667ab32921b2cf27cb7

Observation 7c629786-c160-479c-9b87-24d5132a05a5 · outbound

This paper cites an unresolved cited work.

A weak regularity lemma for polynomials Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-15T16:07:18.964062Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-15T16:07:18.152274Z digest=sha256:c9ddd551792f006563f83c626dcf99f237e5debb93ab8447c607f342c3935a10

Observation 33ebea26-e76e-4c5f-b65e-d50c13dafa8a · outbound

This paper cites Montreal Lecture Notes on Quadratic Fourier Analysis.

A weak regularity lemma for polynomials Montreal Lecture Notes on Quadratic Fourier Analysis

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-15T16:07:18.157227Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T16:07:18.157227Z digest=sha256:9227697ea06260086da919a1d69d440f757f7d16ccea3c8763761863c198d1eb

Observation 80da665e-0044-4fa1-834e-708a42047338 · outbound

This paper cites Green and T.

A weak regularity lemma for polynomials Green and T

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T16:07:18.943412Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-15T16:07:18.162838Z digest=sha256:4ce42d6856471ac601ce9805523f50baa268d806d32bd0749ed70e43d14accaf

Observation 72fcc3e2-9a4b-46a5-8326-5a4150aa071b · outbound

This paper cites Gutierrez, R.

A weak regularity lemma for polynomials Gutierrez, R

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T16:07:18.922948Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-15T16:07:18.167606Z digest=sha256:01db4ee95dba37785beb9764ebca12978a1bf1ac4baf1a5cd43f993df41879fb

Observation ed2ad583-2987-44ba-b07d-355983149553 · outbound

This paper cites Hatami and S.

A weak regularity lemma for polynomials Hatami and S

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T16:07:18.897329Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-15T16:07:18.174366Z digest=sha256:6dd2036099c88b89852b96650eef89108df6309eaed0568643f2d3f683f0f5ec

Observation 5d9dfd1b-de4e-45ea-9723-c763c0229934 · outbound

This paper cites Hou, Permutation polynomials over finite fields — A survey of recent advances , Finite Fields Their Appl.

A weak regularity lemma for polynomials Hou, Permutation polynomials over finite fields — A survey of recent advances , Finite Fields Their Appl

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T16:07:18.871269Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-15T16:07:18.179073Z digest=sha256:1005daf7af79c66e44dacfe578e5d293ae6d473eb04748c00490f94d947ae4fd

Observation 16b86933-b8a1-4733-b34b-ba619e73b71d · outbound

This paper cites Janzer, Polynomial bound for the partition rank vs the analytic rank of tensors , Discrete Anal.

A weak regularity lemma for polynomials Janzer, Polynomial bound for the partition rank vs the analytic rank of tensors , Discrete Anal

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T16:07:18.846329Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-15T16:07:18.183840Z digest=sha256:0a60fa7310ffd1adf399653ea442442e181b8d7d48b2ad74a94e308deb48228b

Observation a9fcb443-3b21-4942-ba9e-12878a566bc5 · outbound

This paper cites Karam, Ranges of polynomials control degree ranks of Green and Tao over finite prime fields , arXiv:2305.11088 https://arxiv.org/abs/2305.11088 (2023).

A weak regularity lemma for polynomials Karam, Ranges of polynomials control degree ranks of Green and Tao over finite prime fields , arXiv:2305.11088 https://arxiv.org/abs/2305.11088 (2023)

Reference 15

Resolution
verified exact
raw_fallback, observed 2026-08-15T16:07:18.561820Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-15T16:07:18.188802Z digest=sha256:df2a493988b940d8bdd3821421db800e27a3e7162f054d4dc38335b5f6227108

Observation 155cfecd-4b8f-4f16-860a-9d7a2b8546f9 · outbound

This paper cites Kaufman and S.

A weak regularity lemma for polynomials Kaufman and S

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T16:07:18.823000Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-15T16:07:18.193994Z digest=sha256:89ccfc17808da289a7669fa76fa94f365ae668db2e968a37d1725a5a61b41526

Observation e9b96894-8622-4981-9b89-d5258810d4dd · outbound

This paper cites Kaufman, S.

A weak regularity lemma for polynomials Kaufman, S

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T16:07:18.802686Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-15T16:07:18.198813Z digest=sha256:5bf75690be4583065a6734708e7bf3957fb305a409e78e8a2e46a1a284d7cfb6

Observation 8e470a7b-c0fb-4a90-ac0d-f4fd0c35ceed · outbound

This paper cites Kayal, C.

A weak regularity lemma for polynomials Kayal, C

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T16:07:18.785679Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-15T16:07:18.203785Z digest=sha256:1f376d021f14b7b592ed65c247fce0327fc7f853db67de73ce756acbd93fd8fd

Observation 53160db4-1bdc-49e7-91ce-d26a7b9d41a4 · outbound

This paper cites Kazhdan, A.

A weak regularity lemma for polynomials Kazhdan, A

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T16:07:18.767730Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-15T16:07:18.208947Z digest=sha256:cae98cb200e5e72ea8072ea56981ebd38cfe1e4509a826a77c0d1e64ae343faf

Observation 0fc21bf2-d60a-4209-b0ef-8078488ed841 · outbound

This paper cites Kumar and S.

A weak regularity lemma for polynomials Kumar and S

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T16:07:18.750741Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-15T16:07:18.214044Z digest=sha256:da526415ff9b051ed3c7ceca7879dced5ae76fffefefb8b6a4dfaff417a2c36b

Observation fd2cba83-7bbb-4709-9f51-86e77fb16fc2 · outbound

This paper cites Small ideals in polynomial rings and applications.

A weak regularity lemma for polynomials Small ideals in polynomial rings and applications

Reference 21

Resolution
verified exact
local_arxiv, observed 2026-08-15T16:07:18.363897Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-15T16:07:18.219517Z digest=sha256:03ded06073daf06048f86da33a8755b4cb2e6ade308a895db6bf20397c1533d2

Observation f2c41d10-d4c3-4731-a25b-326433aeda81 · outbound

This paper cites On rank in algebraic closure.

A weak regularity lemma for polynomials On rank in algebraic closure

Reference 22

Resolution
verified exact
local_arxiv, observed 2026-08-15T16:07:18.338325Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-15T16:07:18.225937Z digest=sha256:a2444dc9d4471fd7de6b74c09bd9a1ba9f468b444e96e9496eedf1dbf8f731bf

Observation 726ce537-a7cb-4515-8637-97eb132703c2 · outbound

This paper cites Lampert and T.

A weak regularity lemma for polynomials Lampert and T

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T16:07:18.732033Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-15T16:07:18.231305Z digest=sha256:ea53c5deb710d71082fab3b5143f2fde96a45c4ea63cd5c74de1657cd375a2db

Observation 4713da21-3a09-4525-8948-3313f444cfb4 · outbound

This paper cites Mili\' c evi\' c , Polynomial bound for partition rank in terms of analytic rank , Geom.

A weak regularity lemma for polynomials Mili\' c evi\' c , Polynomial bound for partition rank in terms of analytic rank , Geom

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T16:07:18.713721Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-15T16:07:18.237274Z digest=sha256:4da97a767bf558064dbed49fc6f4624c45a521a593d1bbcfd78f8f3b905995c6

Observation db4d111e-d040-47e1-9221-2003b23aa0ea · outbound

This paper cites Quasi-linear relation between partition and analytic rank.

A weak regularity lemma for polynomials Quasi-linear relation between partition and analytic rank

Reference 25

Resolution
unresolved
no resolver link, observed 2026-08-15T16:07:18.242363Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T16:07:18.242363Z digest=sha256:0599924306858511ad4d1608b3607880ff24131ec740b93e65cfdf1a63ac02f2

Observation 2c54d405-72cd-43fd-bf29-265f1ac3b11d · outbound

This paper cites Naslund, The partition rank of a tensor and k-right corners in F ^n_q , J.

A weak regularity lemma for polynomials Naslund, The partition rank of a tensor and k-right corners in F ^n_q , J

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T16:07:18.691474Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-15T16:07:18.248016Z digest=sha256:c0c44aa0d4c251cfb2ad9624d92d30affde541c6253e378a941373fffdf89c3d

Observation 1f36208c-31ad-4d0a-a41c-3772aec057f3 · outbound

This paper cites Raz, Elusive functions and lower bounds for arithmetic circuits , Theory Comput.

A weak regularity lemma for polynomials Raz, Elusive functions and lower bounds for arithmetic circuits , Theory Comput

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T16:07:18.673919Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-15T16:07:18.253115Z digest=sha256:078cade9adb83833a89c78a2fc5a83575e8038247e22cd84a443aa86df9428b4

Observation edc67eb8-21dd-40b3-a437-6d22a93decb9 · outbound

This paper cites an unresolved cited work.

A weak regularity lemma for polynomials Unresolved cited work

Reference 28

Resolution
unresolved
raw_fallback, observed 2026-08-15T16:07:18.656739Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-15T16:07:18.258654Z digest=sha256:df912358aabbe527cfb488a71b085f4e1230ceeb5635ff29d4eb369949baefef

Observation 9da9fd19-5cf8-4626-906b-cdda63c363e7 · outbound

This paper cites Tao and T.

A weak regularity lemma for polynomials Tao and T

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T16:07:18.637378Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-15T16:07:18.263313Z digest=sha256:305a2522373509b87f263a97144cd08ae0c5ca2a1d2744a7115adf6fe66a3d64

Observation 966ca1a5-9b9d-4a0e-9e6d-2ae1139bdd68 · outbound

This paper cites von zur Gathen and K.

A weak regularity lemma for polynomials von zur Gathen and K

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T16:07:18.620855Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-15T16:07:18.267953Z digest=sha256:3c645e8c253dc6ab2a6e5c079e20ec9be9a0925209a67b1ebdd65344584fddde

Pith citing papers

No inbound Pith citation observations are available.