Paper Citation Record · LEDGER

Homogeneous hypergraph regularity lemmas via $k$-strong honest definitions

As of 13 August 2026, this Paper Citation Record lists 39 of 39 outbound references and 0 inbound Pith citation observations for arXiv:2607.19202.

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pith.paper-citation-record.v1
2607.19202 v1

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measured 39 of 39 reference resolution

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Reference resolution

39 of 39 outbound references displayed

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Outbound references

Observation a53153a9-246d-410b-978b-0960306fec33 · outbound

This paper cites Efficient testing of bipartite graphs for forbidden induced subgraphs.SIAM Journal on Computing, 37(3):959–976, 2007.doi:10.1137/050627915.

Homogeneous hypergraph regularity lemmas via $k$-strong honest definitions Efficient testing of bipartite graphs for forbidden induced subgraphs.SIAM Journal on Computing, 37(3):959–976, 2007.doi:10.1137/050627915

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-01T13:18:02.200913Z

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Observation c7767c5a-c621-4b16-8b26-45b09d8f68b7 · outbound

This paper cites Combinatorial bounds in distal structures.The Journal of Symbolic Logic, 90(4):1377–1409, 2025.doi:10.1017/jsl.2023.74.

Homogeneous hypergraph regularity lemmas via $k$-strong honest definitions Combinatorial bounds in distal structures.The Journal of Symbolic Logic, 90(4):1377–1409, 2025.doi:10.1017/jsl.2023.74

Reference 2

Resolution: verified exact; doi, observed 2026-08-01T13:18:32.171965Z

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Observation 6d972044-a154-403e-8094-50462b2830e9 · outbound

This paper cites Distality in valued fields and related structures.Transactions of the American Mathematical Society, 375(7):4641–4710, 2022.doi: 10.1090/tran/8661.

Homogeneous hypergraph regularity lemmas via $k$-strong honest definitions Distality in valued fields and related structures.Transactions of the American Mathematical Society, 375(7):4641–4710, 2022.doi: 10.1090/tran/8661

Reference 3

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Observation 03a789d5-b70e-4d20-a17f-cad018519549 · outbound

This paper cites The definable (p, q)-theorem for distal theories.The Journal of Sym- bolic Logic, 83(1):123–127, 2018.doi:10.1017/jsl.2016.72.

Homogeneous hypergraph regularity lemmas via $k$-strong honest definitions The definable (p, q)-theorem for distal theories.The Journal of Sym- bolic Logic, 83(1):123–127, 2018.doi:10.1017/jsl.2016.72

Reference 4

Resolution: verified exact; doi, observed 2026-08-01T13:18:31.835906Z

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Observation db1d7ff3-f6e7-49a7-8d09-b9789c2451a8 · outbound

This paper cites Cutting lemma and Zarankiewicz’s problem in distal structures.Selecta Mathematica, 26(25):471–508, 2020.doi:10.1007/s00029-020-0551-2.

Homogeneous hypergraph regularity lemmas via $k$-strong honest definitions Cutting lemma and Zarankiewicz’s problem in distal structures.Selecta Mathematica, 26(25):471–508, 2020.doi:10.1007/s00029-020-0551-2

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-01T13:18:02.442678Z

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Observation 2610b82e-6a0b-432a-95e0-2329e8965760 · outbound

This paper cites Externally definable sets and dependent pairs II.Transactions of the American Mathematical Society, 367(7):5217–5235, 2015.doi:10.1090/S0002-9947-2015-06210-2.

Homogeneous hypergraph regularity lemmas via $k$-strong honest definitions Externally definable sets and dependent pairs II.Transactions of the American Mathematical Society, 367(7):5217–5235, 2015.doi:10.1090/S0002-9947-2015-06210-2

Reference 6

Resolution: verified exact; doi, observed 2026-08-01T13:18:31.620778Z

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Observation 36df663e-7e3e-4b40-b32f-ef779029f0af · outbound

This paper cites Regularity lemma for distal structures.Journal of the European Mathematical Society, 20(10):2437–2466, 2018.doi:10.4171/JEMS/816.

Homogeneous hypergraph regularity lemmas via $k$-strong honest definitions Regularity lemma for distal structures.Journal of the European Mathematical Society, 20(10):2437–2466, 2018.doi:10.4171/JEMS/816

Reference 7

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Observation eadf86ea-9ff1-4de7-84b3-e9216e656cd9 · outbound

This paper cites Definable regularity lemmas for NIP hypergraphs.The Quarterly Journal of Mathematics, 72(4):1401–1433, Mar 2021.doi:10.1093/qmath/haab011.

Homogeneous hypergraph regularity lemmas via $k$-strong honest definitions Definable regularity lemmas for NIP hypergraphs.The Quarterly Journal of Mathematics, 72(4):1401–1433, Mar 2021.doi:10.1093/qmath/haab011

Reference 8

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Observation 8de2823f-9040-4fd8-a968-c1e1da203b95 · outbound

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

Homogeneous hypergraph regularity lemmas via $k$-strong honest definitions Hypergraph regularity and higher arity VC-dimension

Reference 9

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

This paper cites Averages of hypergraphs and higher arity stability.

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

Reference 10

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Observation d5b9f6c2-4d2c-4f71-bce4-59ebbbc4ba03 · outbound

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

Homogeneous hypergraph regularity lemmas via $k$-strong honest definitions On n-distality, n-triviality and hypergraph regularity in NIP theories

Reference 11

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Observation ec9b9b48-832e-4394-9fb3-a7c14fb19019 · outbound

This paper cites an unresolved cited work.

Homogeneous hypergraph regularity lemmas via $k$-strong honest definitions Unresolved cited work

Reference 12

Resolution: verified exact; doi, observed 2026-08-01T13:18:31.305408Z

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Observation c1f071ca-2433-4b47-91eb-4e9bd92153d2 · outbound

This paper cites Duke, Hanno Lefmann, and Vojtˇ ech R¨ odl.

Homogeneous hypergraph regularity lemmas via $k$-strong honest definitions Duke, Hanno Lefmann, and Vojtˇ ech R¨ odl

Reference 13

Resolution: malformed identifier; no resolver link, observed 2026-08-01T13:18:02.847766Z

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Observation ba325488-6121-424b-9785-a54bde846dd7 · outbound

This paper cites A polynomial regularity lemma for semialgebraic hypergraphs and its applications in geometry and property testing.SIAM Journal on Computing, 45(6):2199–2223, 2016.

Homogeneous hypergraph regularity lemmas via $k$-strong honest definitions A polynomial regularity lemma for semialgebraic hypergraphs and its applications in geometry and property testing.SIAM Journal on Computing, 45(6):2199–2223, 2016

Reference 14

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Observation a1b895d3-64f3-4af6-81b7-d098c497e2a6 · outbound

This paper cites Regularity for hypergraphs with bounded VC$_2$ dimension.

Homogeneous hypergraph regularity lemmas via $k$-strong honest definitions Regularity for hypergraphs with bounded VC$_2$ dimension

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-01T13:18:02.947690Z

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Observation cd602453-bc6c-4a5a-9351-76e3fe44fe1b · outbound

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Homogeneous hypergraph regularity lemmas via $k$-strong honest definitions Unresolved cited work

Reference 16

Resolution: verified exact; doi, observed 2026-08-01T13:18:31.093897Z

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Observation 6c17529c-93b4-4a38-824d-0ac1201a83fb · outbound

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Homogeneous hypergraph regularity lemmas via $k$-strong honest definitions Unresolved cited work

Reference 17

Resolution: verified exact; doi, observed 2026-08-01T13:18:30.828256Z

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Observation 9bb49746-8644-428a-8877-814f9537c69a · outbound

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Homogeneous hypergraph regularity lemmas via $k$-strong honest definitions Unresolved cited work

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-01T13:18:03.142630Z

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Observation 66b5eab8-c003-45cf-a05e-8f0cf302ee74 · outbound

This paper cites Weak hypergraph regularity and linear hypergraphs.Journal of Combinatorial Theory, Series B, 100(2):151–160, 2010.doi:10.1016/j.

Homogeneous hypergraph regularity lemmas via $k$-strong honest definitions Weak hypergraph regularity and linear hypergraphs.Journal of Combinatorial Theory, Series B, 100(2):151–160, 2010.doi:10.1016/j

Reference 19

Resolution: malformed identifier; no resolver link, observed 2026-08-01T13:18:03.214862Z

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Observation 11d8e335-c2a0-4e61-af8f-cc3a00d5fa12 · outbound

This paper cites Szemer´ edi’s lemma for the analyst.Geometric and Functional Analysis, 17:252–270, 2007.doi:10.1007/s00039-007-0599-6.

Homogeneous hypergraph regularity lemmas via $k$-strong honest definitions Szemer´ edi’s lemma for the analyst.Geometric and Functional Analysis, 17:252–270, 2007.doi:10.1007/s00039-007-0599-6

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-01T13:18:03.279093Z

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Observation dafe1523-61f8-400a-8c9e-325396cf2399 · outbound

This paper cites Malliaris and S.

Homogeneous hypergraph regularity lemmas via $k$-strong honest definitions Malliaris and S

Reference 21

Resolution: verified exact; doi, observed 2026-08-01T13:18:30.526725Z

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Observation f2538791-d3cc-4793-9914-d448e2bd1511 · outbound

This paper cites Bounded VC-dimension implies a fractional Helly theorem.Discrete & Computational Geo- metry, 31:251–255, 2004.doi:10.1007/s00454-003-2859-z.

Homogeneous hypergraph regularity lemmas via $k$-strong honest definitions Bounded VC-dimension implies a fractional Helly theorem.Discrete & Computational Geo- metry, 31:251–255, 2004.doi:10.1007/s00454-003-2859-z

Reference 22

Resolution: verified exact; doi, observed 2026-08-01T13:18:30.287274Z

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Observation 5ac0d7cd-66bf-498d-af80-41d5403c8279 · outbound

This paper cites Hypergraph regularity and quasi- randomness.

Homogeneous hypergraph regularity lemmas via $k$-strong honest definitions Hypergraph regularity and quasi- randomness

Reference 23

Resolution: verified exact; doi, observed 2026-08-01T13:18:30.080996Z

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Observation 2fd291e8-ac83-4b71-bfde-cc6245b63c69 · outbound

This paper cites The counting lemma for regulark-uniform hypergraphs.

Homogeneous hypergraph regularity lemmas via $k$-strong honest definitions The counting lemma for regulark-uniform hypergraphs

Reference 24

Resolution: verified exact; doi, observed 2026-08-01T13:18:29.926273Z

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Observation a6aa7950-dec5-4525-af90-7cfa1212e769 · outbound

This paper cites Regularity lemma fork-uniform hypergraphs.Random Structures & Al- gorithms, 25(1):1–42, 2004.doi:10.1002/rsa.20017.

Homogeneous hypergraph regularity lemmas via $k$-strong honest definitions Regularity lemma fork-uniform hypergraphs.Random Structures & Al- gorithms, 25(1):1–42, 2004.doi:10.1002/rsa.20017

Reference 25

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Observation 58086c65-5e05-40fb-9e2f-cf9f0b448338 · outbound

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Homogeneous hypergraph regularity lemmas via $k$-strong honest definitions Unresolved cited work

Reference 26

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Observation af59e074-2806-4437-811c-503f341f77c5 · outbound

This paper cites Distal and non-distal NIP theories.Annals of Pure and Applied Logic, 164(3):294–318, 2013.

Homogeneous hypergraph regularity lemmas via $k$-strong honest definitions Distal and non-distal NIP theories.Annals of Pure and Applied Logic, 164(3):294–318, 2013

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-01T13:18:03.730142Z

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Observation 1c757b3b-ebd8-4183-990e-79e994b82f82 · outbound

This paper cites Lecture Notes in Logic.

Homogeneous hypergraph regularity lemmas via $k$-strong honest definitions Lecture Notes in Logic

Reference 28

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This paper cites 2015.https://www.normalesup.org/ ~simon/NIP_guide .pdf.

Homogeneous hypergraph regularity lemmas via $k$-strong honest definitions 2015.https://www.normalesup.org/ ~simon/NIP_guide .pdf

Reference 29

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Observation 5b8d8f02-7340-45e3-9892-5d27466ab813 · outbound

This paper cites Szemer´ edi.

Homogeneous hypergraph regularity lemmas via $k$-strong honest definitions Szemer´ edi

Reference 30

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Observation 407cc662-5af3-4b28-b55d-7d32b2ae2817 · outbound

This paper cites Growth of regular partitions 3: strong regularity and the vertex partition.

Homogeneous hypergraph regularity lemmas via $k$-strong honest definitions Growth of regular partitions 3: strong regularity and the vertex partition

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-01T13:18:03.938064Z

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Observation 2ed0b03f-0ba1-4b72-902a-b8c072e1789a · outbound

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Homogeneous hypergraph regularity lemmas via $k$-strong honest definitions Growth of regular partitions 4: strong regularity and the pairs partition

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-01T13:18:03.993785Z

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Observation 8771d19e-b095-43dc-8fec-a0b48164aa10 · outbound

This paper cites Irregular triads in 3-uniform hypergraphs.

Homogeneous hypergraph regularity lemmas via $k$-strong honest definitions Irregular triads in 3-uniform hypergraphs

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-01T13:18:04.033160Z

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Observation 82347407-363c-4e76-b4ec-e064369139af · outbound

This paper cites An improved bound for regular decompositions of 3-uniform hypergraphs of bounded VC 2- dimension.Model Theory, 2(2):325–356, 2023.doi:10.2140/mt.2023.2.325.

Homogeneous hypergraph regularity lemmas via $k$-strong honest definitions An improved bound for regular decompositions of 3-uniform hypergraphs of bounded VC 2- dimension.Model Theory, 2(2):325–356, 2023.doi:10.2140/mt.2023.2.325

Reference 34

Resolution: verified exact; doi, observed 2026-08-01T13:18:29.776197Z

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Observation caedbbf1-d39f-4431-9ed0-c969a1189edd · outbound

This paper cites PhD thesis, University of Leeds, 2025.

Homogeneous hypergraph regularity lemmas via $k$-strong honest definitions PhD thesis, University of Leeds, 2025

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-01T13:18:04.142915Z

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Observation 9bfc5ccb-5e0d-4689-b3e3-e1cdaa9c3c77 · outbound

This paper cites Higher-arity distality and forking triviality.

Homogeneous hypergraph regularity lemmas via $k$-strong honest definitions Higher-arity distality and forking triviality

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-01T13:18:04.191334Z

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Observation 35617246-9414-4460-8075-c06124890e90 · outbound

This paper cites Zarankiewicz bounds from distal regularity lemma.Bulletin of the London Mathematical Society, 58(3):e70310, 2026.doi:10.1112/blms.70310.

Homogeneous hypergraph regularity lemmas via $k$-strong honest definitions Zarankiewicz bounds from distal regularity lemma.Bulletin of the London Mathematical Society, 58(3):e70310, 2026.doi:10.1112/blms.70310

Reference 37

Resolution: verified exact; doi, observed 2026-08-01T13:18:29.634819Z

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Observation 00fe9521-f743-4c9f-90d1-959c35dc487c · outbound

This paper cites Distality rank.The Journal of Symbolic Logic, 88(2):704–737, 2023.doi:10.1017/jsl.2022.

Homogeneous hypergraph regularity lemmas via $k$-strong honest definitions Distality rank.The Journal of Symbolic Logic, 88(2):704–737, 2023.doi:10.1017/jsl.2022

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-01T13:18:04.275907Z

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Observation 68555346-e88d-4a47-adbb-8e20cf13e352 · outbound

This paper cites PhD thesis, University of Illinois at Chicago, 2023.

Homogeneous hypergraph regularity lemmas via $k$-strong honest definitions PhD thesis, University of Illinois at Chicago, 2023

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-01T13:18:04.340765Z

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