Pith. sign in

Paper Citation Record · LEDGER

A weak regularity lemma for polynomials

As of 20 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 2026-08-20T06:33:59.587034+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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-15T16:07:18.110732Z digest=sha256:a7099d4ed0317ca9f934200060afdeee4c0c598890dfaffa65beef291a0ad118

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-15T16:07:18.117913Z digest=sha256:f666629c5c94fdc7d87cef9cd266e64c3b469e0cab2c1d27630f1af1b1c6b56c

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-15T16:07:18.124510Z digest=sha256:b9ad192b9e34ea1c4101b70545298a3085425e5c0e22e779cff2fc220ad378cc

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-15T16:07:18.130005Z digest=sha256:e7a20a4899931503c5a69745e62e1a1c8cfa4b9dc32b86094b8fe3e516cffa50

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-15T16:07:18.135582Z digest=sha256:8cf8b015d0d380c3f5dcb58545b244ebd11bc43403cb66bc1f37e0a70a41dbf7

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-15T16:07:18.141330Z digest=sha256:05044b62a12c5ad16acfccc9b9ab8cac4511f8b397f7e952ddbe06534cffff08

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-15T16:07:18.147260Z digest=sha256:292b475742fa5902830ea92cf4112f3c65a17837eb29ddca7312f671e59b2b3f

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-15T16:07:18.152274Z digest=sha256:f8e820184415bf55bbfcb6f64c1e5548cf7f031cf0860bca62c4dd55dc7ad6f3

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-15T16:07:18.162838Z digest=sha256:588e582c7381980b449dd5d7caddfc7e9d76fe317b822ad869235845d7fe8c67

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-15T16:07:18.167606Z digest=sha256:744d64702d2a956ea35bd02289b3ba607dcb7f6f61429d75b34452c4fe0fa98e

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-15T16:07:18.174366Z digest=sha256:b73c4792b8ffb4a22190136772182880e049fca824a07a7943cc4eb72180e376

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-15T16:07:18.179073Z digest=sha256:3004df6d1cb8a85803b66c780ad0fc9275e46ed30df9427ec1a7769502bf19cd

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-15T16:07:18.183840Z digest=sha256:49ddc4ad0d39abb9db3cd9babd1c0e9803631ca3fd8974aa43a12914a4bee8dc

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-15T16:07:18.188802Z digest=sha256:4c8fbab3d620720cf33c80ed7a50f94f4dfd5d7a1b94800a11c7980d19ae2522

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-15T16:07:18.193994Z digest=sha256:309d71fe98ff8ba6727b10e81beaa228ed0f5f57b32dc3ce3eb19c63d8cb44a6

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-15T16:07:18.198813Z digest=sha256:f886f5b870e933048742b8c18dc8cbdd5108c78d99943f6f3c45c0c8eea51d64

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-15T16:07:18.203785Z digest=sha256:b447b6eb8259cfb1b6c63082c676f8991ec6c457d5a5baa28c619054e31f46e0

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-15T16:07:18.208947Z digest=sha256:48013d3cc109270f4504f26bf62e8c73f129bbf223f2cc165e53ad350c2964a6

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-15T16:07:18.214044Z digest=sha256:a512b9ee0327e84d256fc6f35ab836e9511f76291b0b8d2be0426940ea5c2dbe

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-15T16:07:18.219517Z digest=sha256:5533d33b20687909f50a060883faeeb8283e83a4549f40587e5a9c0940b4ff18

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-15T16:07:18.225937Z digest=sha256:13ed10345c13b759bde3c63ba461f0094c3af72a9c66570231b7971b65718f8f

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-15T16:07:18.231305Z digest=sha256:a63c7b4889617ffbdbaa991a572c20d1dc445e335346de2ae3e35aacdc6f9135

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-15T16:07:18.237274Z digest=sha256:a7a075d1b6219fe8c31e19e62db5b60d65995e8381cfa66842fcf7abedc7bde3

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-15T16:07:18.248016Z digest=sha256:1a9e802fb950395dad85bb994035bd296b2a7243b5a3f900fac9b102b0756825

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-15T16:07:18.253115Z digest=sha256:1c5dfaba8cf636bb0536365de7daaad2349f605d7dc13b24cb6d98d677d4ba1a

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-15T16:07:18.258654Z digest=sha256:dd32d150cde2ac16b4e4e7e793f1c24a28ca0aa413d185c35d54d6d87464cbb5

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-15T16:07:18.263313Z digest=sha256:7fea85545e50ca137aa59ee05b739be4b088d7c0e8c2b3b03c5683f73825f98f

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-15T16:07:18.267953Z digest=sha256:b9700176ebb6ad391878c1ea4c3f799c15dedd16f17ff78d2f61298af69f1e5a

Pith citing papers

No inbound Pith citation observations are available.