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Paper Citation Record · LEDGER

Averages of hypergraphs and higher arity stability

As of 12 August 2026, this Paper Citation Record lists 26 of 26 outbound references and 2 inbound Pith citation observations for arXiv:2508.05839.

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

pith.paper-citation-record.v1
2508.05839 v1

Coverage vector

measured 26 of 26 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T23:21:00.242198Z

measured 28 of 28 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-01T13:18:02.673451Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-11T18:01:06.539866Z

Reference resolution

26 of 26 outbound references displayed

  • verified exact2
  • verified fuzzy19
  • unresolved5
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation d417d02e-e6fe-4118-94ac-c18a2d3c1a2c · outbound

This paper cites Efficient testing of bipartite graphs for forbidden induced subgraphs.

Averages of hypergraphs and higher arity stability Efficient testing of bipartite graphs for forbidden induced subgraphs

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T23:21:00.761832Z

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.

source=arxiv_source observed=2026-08-05T23:21:00.118516Z digest=sha256:47be351a79c79f701baec657ca1c8c1c9a932486e70c2643ea8e1a6b3e6e3cdb

Observation 1565cfd1-f87a-4119-b912-907cbca3823f · outbound

This paper cites On theories of random variables.

Averages of hypergraphs and higher arity stability On theories of random variables

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T23:21:00.745383Z

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.

source=arxiv_source observed=2026-08-05T23:21:00.123702Z digest=sha256:4936fc730a175f397ea7e3540106eec590b7e8ee4072502edb64f5fc0a3f6516

Observation 9fba8144-faf5-4e94-aaf6-7225fc09cac8 · outbound

This paper cites Model theory for metric structures.

Averages of hypergraphs and higher arity stability Model theory for metric structures

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T23:21:00.729446Z

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.

source=arxiv_source observed=2026-08-05T23:21:00.128883Z digest=sha256:ba21d1787ec232d0a9309209a6565239895e204476c2087edeac45c79fe87dec

Observation 6d87d7b5-a678-48cb-b952-791e6253721a · outbound

This paper cites Continuous stable regularity.

Averages of hypergraphs and higher arity stability Continuous stable regularity

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T23:21:00.714050Z

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.

source=arxiv_source observed=2026-08-05T23:21:00.133946Z digest=sha256:6d222de0bee183ab75690906eb0483b62f8a770642752424f0afc331d57b703d

Observation 114167cb-6ca9-4a91-85ae-9243c045bce9 · outbound

This paper cites Towards higher classification theory.

Averages of hypergraphs and higher arity stability Towards higher classification theory

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T23:21:00.699095Z

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.

source=arxiv_source observed=2026-08-05T23:21:00.139289Z digest=sha256:edfb7d7e389e6df1214a4edcb2cba2bc3f27a602ef0b55841d36afc468b52396

Observation ec73983e-2131-4c67-92bb-d78a73c40da3 · outbound

This paper cites On n-dependence.

Averages of hypergraphs and higher arity stability On n-dependence

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T23:21:00.684980Z

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.

source=arxiv_source observed=2026-08-05T23:21:00.144042Z digest=sha256:4eda900da499cf976cb78d4acd578377846235c74cd93eaebbbb37289b99243b

Observation fb149cb6-1a10-4e24-8de2-a4f7705f3cd4 · outbound

This paper cites Definable regularity lemmas for NIP hypergraphs.

Averages of hypergraphs and higher arity stability Definable regularity lemmas for NIP hypergraphs

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-05T23:21:00.149362Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-05T23:21:00.149362Z digest=sha256:6560c248335b8d4dd50365bc15d4baba756a39dc4ac186793ba5f12380dd2ef3

Observation cc0d1e3c-1b65-472d-9e93-5c276d579b79 · outbound

This paper cites Hypergraph regularity and higher arity VC-dimension.

Averages of hypergraphs and higher arity stability Hypergraph regularity and higher arity VC-dimension

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-05T23:21:00.154549Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-05T23:21:00.154549Z digest=sha256:3314e3b93afd7c8f7ca097c7b1f79e674ad3433fe88530f742ab6e4642173fa2

Observation f38c3df2-886f-408e-b7e6-cd5b282cdde9 · outbound

This paper cites Intersecting sets in probability spaces and Shelah's classification.

Averages of hypergraphs and higher arity stability Intersecting sets in probability spaces and Shelah's classification

Reference 9

Resolution
verified exact
local_arxiv, observed 2026-08-05T23:21:00.454662Z

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.

source=arxiv_source observed=2026-08-05T23:21:00.160723Z digest=sha256:e4b79e1268edc97ff5f58203d3aec599b1dc07f4ca87a582fbf1c971696cfa64

Observation 76339f0f-7f02-41fe-8ab8-310941981ad1 · outbound

This paper cites Perfect stable regularity lemma and slice-wise stable hypergraphs.

Averages of hypergraphs and higher arity stability Perfect stable regularity lemma and slice-wise stable hypergraphs

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-05T23:21:00.166796Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-05T23:21:00.166796Z digest=sha256:9260ecf0c366ba0d6bbe649d4c5b1ae40fcf78a8ef80bb60ab681b3acfe5afae

Observation 9e08bf29-de52-4385-9ed7-6cca5f38749e · outbound

This paper cites Extremal problems on set systems.

Averages of hypergraphs and higher arity stability Extremal problems on set systems

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T23:21:00.661309Z

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.

source=arxiv_source observed=2026-08-05T23:21:00.171540Z digest=sha256:fc6b93696ab0d7e6e9985421e5419f6098f64e77cbe514cef4286e7e4f692841

Observation 1e99dba5-a665-4bcd-a814-fc93fe0fec93 · outbound

This paper cites Hypergraph regularity and the multidimensional S zemer \'e di theorem.

Averages of hypergraphs and higher arity stability Hypergraph regularity and the multidimensional S zemer \'e di theorem

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T23:21:00.647265Z

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.

source=arxiv_source observed=2026-08-05T23:21:00.177184Z digest=sha256:df41d9a4332fd1c8a1f9e0f00f231f4128f20c25cb396d0a8c480a9b0b5d68b8

Observation 9e5f71a8-8081-486c-89bb-faa9ae6a434e · outbound

This paper cites Crit \`e res de compacit \'e dans les espaces fonctionnels g \'e n \'e raux.

Averages of hypergraphs and higher arity stability Crit \`e res de compacit \'e dans les espaces fonctionnels g \'e n \'e raux

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T23:21:00.632604Z

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.

source=arxiv_source observed=2026-08-05T23:21:00.181582Z digest=sha256:53f4e691795301d0dd0e90c7c51825e9208ef1e44c73f0a25d69083a5a599ec8

Observation db8b04ae-5dbb-483d-9487-b11d30587995 · outbound

This paper cites Stable group theory and approximate subgroups.

Averages of hypergraphs and higher arity stability Stable group theory and approximate subgroups

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T23:21:00.618906Z

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.

source=arxiv_source observed=2026-08-05T23:21:00.186102Z digest=sha256:4e8d6bbe30d37b5a49dbee081dc5ee74d496b60ffb7e1081f8b69271cbdf0536

Observation 99983d0f-d186-4c75-beda-8e5829c78a8e · outbound

This paper cites Approximate equivalence relations.

Averages of hypergraphs and higher arity stability Approximate equivalence relations

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T23:21:00.605439Z

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.

source=arxiv_source observed=2026-08-05T23:21:00.190698Z digest=sha256:e4fe7bdb403e465bad2f967ab90304d7a2ef30b38303241b81211783bad90ba8

Observation 39fcc325-a382-461f-8e50-18f38868f51c · outbound

This paper cites Espaces de B anach stables.

Averages of hypergraphs and higher arity stability Espaces de B anach stables

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T23:21:00.589525Z

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.

source=arxiv_source observed=2026-08-05T23:21:00.195189Z digest=sha256:0c9b834de932790034128110b373dfd40ea9cd9a53fd36706ff98e3137b72039

Observation fa1ecf9e-a169-45cc-92f6-bd8b435cfaa5 · outbound

This paper cites Regularity lemmas for stable graphs.

Averages of hypergraphs and higher arity stability Regularity lemmas for stable graphs

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T23:21:00.575330Z

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.

source=arxiv_source observed=2026-08-05T23:21:00.199710Z digest=sha256:d5f1c2448f15b689828fe7f464e5e054f503e82aaed8fd182c87ec6632c4baba

Observation 37e731f6-c2de-4e0b-92a9-095c9f22326e · outbound

This paper cites The counting lemma for regular k-uniform hypergraphs.

Averages of hypergraphs and higher arity stability The counting lemma for regular k-uniform hypergraphs

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T23:21:00.559826Z

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.

source=arxiv_source observed=2026-08-05T23:21:00.205004Z digest=sha256:9a9d6adc23cd3d70889984e2ff2c691df2ee661adc3feae8dbe5628b443e1459

Observation c248d554-8fe6-4fa3-9481-4b4c34eff867 · outbound

This paper cites Remarks on Tao's algebraic regularity lemma.

Averages of hypergraphs and higher arity stability Remarks on Tao's algebraic regularity lemma

Reference 19

Resolution
verified exact
local_arxiv, observed 2026-08-05T23:21:00.416050Z

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.

source=arxiv_source observed=2026-08-05T23:21:00.209693Z digest=sha256:4320a392052c5402051999833927f115af67a2955fbcb086081f12249c09f1be

Observation f631167d-7934-402a-a20e-c5caf449972f · outbound

This paper cites Regularity lemma for k-uniform hypergraphs.

Averages of hypergraphs and higher arity stability Regularity lemma for k-uniform hypergraphs

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T23:21:00.544366Z

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.

source=arxiv_source observed=2026-08-05T23:21:00.214582Z digest=sha256:854b81d09d33a274060ba6f09a0eec390241e392d25cf81f7c5ca6ab2c338a3f

Observation c08a6e60-d1e5-48ed-885f-b6307f035b84 · outbound

This paper cites On 2-order property.

Averages of hypergraphs and higher arity stability On 2-order property

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T23:21:00.529688Z

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.

source=arxiv_source observed=2026-08-05T23:21:00.219210Z digest=sha256:ef914daec3fc9678c7ad98c462592dd29c1e6f3d1009f7d9d477c805a3b1385b

Observation 53757dd2-4b1b-475b-8553-e4ed1ebd2607 · outbound

This paper cites A variant of the hypergraph removal lemma.

Averages of hypergraphs and higher arity stability A variant of the hypergraph removal lemma

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T23:21:00.513943Z

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.

source=arxiv_source observed=2026-08-05T23:21:00.223951Z digest=sha256:a2e7f1fa08ae9f3fe5eba8ae0c99d2b92a71c8566ced7e32858190e5ce009091

Observation 81f64370-e475-42c9-8214-83f8c857b8e9 · outbound

This paper cites `` A spectral theory proof of the algebraic regularity lemma'', blogpost.

Averages of hypergraphs and higher arity stability `` A spectral theory proof of the algebraic regularity lemma'', blogpost

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T23:21:00.499280Z

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.

source=arxiv_source observed=2026-08-05T23:21:00.228166Z digest=sha256:0f47aa2725113aa0e75042a6aa885b7383b0b4014436366bb93fe62c13d86628

Observation c11d2b9c-8ff1-43f8-b194-7877c0943f8e · outbound

This paper cites Expanding polynomials over finite fields of large characteristic, and a regularity lemma for definable sets.

Averages of hypergraphs and higher arity stability Expanding polynomials over finite fields of large characteristic, and a regularity lemma for definable sets

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T23:21:00.484481Z

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.

source=arxiv_source observed=2026-08-05T23:21:00.233415Z digest=sha256:df16b00cb34ab1f22e360178036d7bc85049c3f65295840fda6664b753bfe03d

Observation aed018b6-e886-44a5-92b7-bdb336cea1ca · outbound

This paper cites Higher-order generalizations of stability and arithmetic regularity.

Averages of hypergraphs and higher arity stability Higher-order generalizations of stability and arithmetic regularity

Reference 25

Resolution
unresolved
no resolver link, observed 2026-08-05T23:21:00.238050Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-05T23:21:00.238050Z digest=sha256:1058d8aea2cc481fd2a02bc100e3c199a952af2e2b52014f7da07cc63bac0d1e

Observation c41eead1-6b7f-4e43-8f84-b9423480416f · outbound

This paper cites Irregular triads in 3-uniform hypergraphs.

Averages of hypergraphs and higher arity stability Irregular triads in 3-uniform hypergraphs

Reference 26

Resolution
unresolved
no resolver link, observed 2026-08-05T23:21:00.242198Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-05T23:21:00.242198Z digest=sha256:31b3d68a1d9c7d234d5b75f6b5e24b47b304e9dc031fa976af835f0b8e323066

Pith citing papers

Observation 6a16faa5-5bc3-4ecb-862b-f3186535ab52 · inbound

On n-distality, n-triviality and hypergraph regularity in NIP theories cites this paper.

On n-distality, n-triviality and hypergraph regularity in NIP theories Averages of hypergraphs and higher arity stability

Reference 36

Resolution
verified exact
arxiv_id, observed 2026-05-11T18:01:06.545870Z

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.

source=pdf_text observed=2026-05-08T16:46:11.133944Z digest=sha256:b3420d0d2aba53d556bb3cb94ebf294353a8a8376728afa13603d02bf81e6032

Observation df3f40e7-fd57-4931-900f-ca1a05f7bd68 · inbound

Homogeneous hypergraph regularity lemmas via $k$-strong honest definitions cites this paper.

Homogeneous hypergraph regularity lemmas via $k$-strong honest definitions Averages of hypergraphs and higher arity stability

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-01T13:18:02.673451Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T13:18:02.673451Z digest=sha256:2fd5cb958d4af2bef07f124f1ac1970392089db2db646e71006b6028089148ea