Paper Citation Record · LEDGER

Averages of hypergraphs and higher arity stability

As of 7 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 2026-08-07T06:34:17.273281+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 2026-08-07T06:34:17.273281+00:00.

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 2026-08-07T06:34:17.273281+00:00.

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 2026-08-07T06:34:17.273281+00:00.

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 2026-08-07T06:34:17.273281+00:00.

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 2026-08-07T06:34:17.273281+00:00.

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 2026-08-07T06:34:17.273281+00:00.

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.

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.

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 2026-08-07T06:34:17.273281+00:00.

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.

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 2026-08-07T06:34:17.273281+00:00.

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 2026-08-07T06:34:17.273281+00:00.

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 2026-08-07T06:34:17.273281+00:00.

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 2026-08-07T06:34:17.273281+00:00.

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 2026-08-07T06:34:17.273281+00:00.

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 2026-08-07T06:34:17.273281+00:00.

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 2026-08-07T06:34:17.273281+00:00.

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 2026-08-07T06:34:17.273281+00:00.

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 2026-08-07T06:34:17.273281+00:00.

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 2026-08-07T06:34:17.273281+00:00.

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 2026-08-07T06:34:17.273281+00:00.

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 2026-08-07T06:34:17.273281+00:00.

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 2026-08-07T06:34:17.273281+00:00.

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 2026-08-07T06:34:17.273281+00:00.

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.

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.

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 2026-08-07T06:34:17.273281+00:00.

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.