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Paper Citation Record · LEDGER

Toward a KKL Theorem for any HDX

As of 9 August 2026, this Paper Citation Record lists 82 of 82 outbound references and 0 inbound Pith citation observations for arXiv:2606.29449.

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

pith.paper-citation-record.v1
2606.29449 v1

Coverage vector

measured 82 of 82 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-30T02:06:02.899748Z

measured 82 of 82 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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Source: cited_works

Reference resolution

82 of 82 outbound references displayed

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  • verified fuzzy0
  • unresolved78
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  • malformed identifier0
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Outbound references

Observation f57cbc4c-cce7-4c10-b1b2-1da1cb458821 · outbound

This paper cites an unresolved cited work.

Toward a KKL Theorem for any HDX Unresolved cited work

Reference 1

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source=pdf_text observed=2026-06-30T02:06:02.899748Z digest=sha256:7e1c493464bfc0dd53c9e55f80681bf3d70eb5a53f24aed2ad9425d98a38c2c6

Observation 85845160-a75e-4e24-a618-f203571e8f79 · outbound

This paper cites an unresolved cited work.

Toward a KKL Theorem for any HDX Unresolved cited work

Reference 2

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source=pdf_text observed=2026-06-30T02:06:02.899748Z digest=sha256:5c6c6ce8e8c943a207750fa99fa021d20f11a2b6b512b67949697b6f3afc2f42

Observation 29faaef6-2e0b-4594-85f4-da17de2088ab · outbound

This paper cites The influence of variables in product spaces.Israel Journal of Mathematics, 77(1):55–64, 1992.

Toward a KKL Theorem for any HDX The influence of variables in product spaces.Israel Journal of Mathematics, 77(1):55–64, 1992

Reference 3

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source=pdf_text observed=2026-06-30T02:06:02.899748Z digest=sha256:b76101a80b68ec6e2bf2909284b362dcbb72c7b37bdf787fb7f3b1d4858549c0

Observation 7e8e6abb-e9b4-4d0f-91d2-97253bb8e906 · outbound

This paper cites On Russo’s approximate zero-one law.The Annals of Probability, pages 1576–1587, 1994.

Toward a KKL Theorem for any HDX On Russo’s approximate zero-one law.The Annals of Probability, pages 1576–1587, 1994

Reference 4

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source=pdf_text observed=2026-06-30T02:06:02.899748Z digest=sha256:f2bea1edb638bf39a6ffb187506ccf52a8cf5ba0e5434356ec80e7b387a67e32

Observation 427870c5-78d6-452c-84fb-d74e7a58bffd · outbound

This paper cites Every monotone graph property has a sharp threshold.Proceedings of the American mathematical Society, 124(10):2993–3002, 1996.

Toward a KKL Theorem for any HDX Every monotone graph property has a sharp threshold.Proceedings of the American mathematical Society, 124(10):2993–3002, 1996

Reference 5

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source=pdf_text observed=2026-06-30T02:06:02.899748Z digest=sha256:4898ae3bff48e80d5a76095e34b227d876ef414dd2c9b42258b8320de4f44000

Observation 6166c81f-a1a3-4007-a64e-28dc6e4ef96c · outbound

This paper cites Boolean functions with low average sensitivity depend on few coordinates.Combinatorica, 18(1):27–35, 1998.

Toward a KKL Theorem for any HDX Boolean functions with low average sensitivity depend on few coordinates.Combinatorica, 18(1):27–35, 1998

Reference 6

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source=pdf_text observed=2026-06-30T02:06:02.899748Z digest=sha256:65e332974540253053eccef04faaa683628ff932b514a1e603f203c90a9c678e

Observation ce4568b8-7748-4621-a23d-dff6c0741e98 · outbound

This paper cites A structure theorem for boolean functions with small total influences.Annals of Mathematics, pages 509–533, 2012.

Toward a KKL Theorem for any HDX A structure theorem for boolean functions with small total influences.Annals of Mathematics, pages 509–533, 2012

Reference 7

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source=pdf_text observed=2026-06-30T02:06:02.899748Z digest=sha256:b7f1c10f1457453e9e9dcf79112268dca560fcab1d9a6fb8e2a2e96251d39fc6

Observation b87b9cd3-4d69-4a1f-9b90-39f71deafab7 · outbound

This paper cites Hypercontractivity for global functions and sharp thresholds.

Toward a KKL Theorem for any HDX Hypercontractivity for global functions and sharp thresholds

Reference 8

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source=pdf_text observed=2026-06-30T02:06:02.899748Z digest=sha256:9f11d124a19d2f74f0430859b0c740fd8b9ca636b215049ae0e7ce080b25b2aa

Observation 8b57fa4f-7f16-4d00-af47-8d985fe63c2f · outbound

This paper cites Noise sensitivity on the p-biased hypercube.

Toward a KKL Theorem for any HDX Noise sensitivity on the p-biased hypercube

Reference 9

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source=pdf_text observed=2026-06-30T02:06:02.899748Z digest=sha256:850fb3c9157089a8547ca5133d225b8b6d57a0dcf16e8aa95485ae492a8f90e6

Observation 3348646f-eaa5-401f-b8b3-3fd25190a873 · outbound

This paper cites Product mixing in compact lie groups.

Toward a KKL Theorem for any HDX Product mixing in compact lie groups

Reference 10

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source=pdf_text observed=2026-06-30T02:06:02.899748Z digest=sha256:b861086600eb97d47a847d256f5b0af1df2860681e7f91a195d331ccc4794e12

Observation db504dca-af0a-46d6-8e97-a9133f7de977 · outbound

This paper cites Pseudorandom sets in grassmann graph have near-perfect expansion.

Toward a KKL Theorem for any HDX Pseudorandom sets in grassmann graph have near-perfect expansion

Reference 11

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source=pdf_text observed=2026-06-30T02:06:02.899748Z digest=sha256:8413f58e0a527af1b4dbbe652b484f5ff4b755da6fa3c1dffd1d3facbc11eed6

Observation 72061abb-7ec0-4ef4-abe7-f96d2905dd09 · outbound

This paper cites An analogue of bonami’s lemma for functions on spaces of linear maps, and 2-2 games.

Toward a KKL Theorem for any HDX An analogue of bonami’s lemma for functions on spaces of linear maps, and 2-2 games

Reference 12

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source=pdf_text observed=2026-06-30T02:06:02.899748Z digest=sha256:31cb4f4a3766e9da7368cecf030504fc7e7fa647877b3a5f232bfc74f1f27f8e

Observation d22205c9-50cf-496d-b8ce-adabf0cf2fa7 · outbound

This paper cites Sharp thresholds of graph properties, and the k-sat problem.Journal of the American mathematical Society, 12(4):1017–1054, 1999.

Toward a KKL Theorem for any HDX Sharp thresholds of graph properties, and the k-sat problem.Journal of the American mathematical Society, 12(4):1017–1054, 1999

Reference 13

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source=pdf_text observed=2026-06-30T02:06:02.899748Z digest=sha256:d2588a8a7614840096aa2f114a12d9bd52de6d3bff1a672320f562e95efb252d

Observation a02b7694-24c3-4f06-ab29-312b1c961e9f · outbound

This paper cites On independent sets, 2-to-2 games, and grassmann graphs.

Toward a KKL Theorem for any HDX On independent sets, 2-to-2 games, and grassmann graphs

Reference 14

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source=pdf_text observed=2026-06-30T02:06:02.899748Z digest=sha256:a40d1cb8c1555b2ff3752871bb19eb393b196ed32479bd545e1247f507a6d19d

Observation 36e3997f-ef1c-4f1e-90ad-37d6f1589bfd · outbound

This paper cites Towards a proof of the 2-to-1 games conjecture? In Proceedings of the 50th Annual ACM SIGACT Symposium on Theory of Computing, pages 376–389, 2018.

Toward a KKL Theorem for any HDX Towards a proof of the 2-to-1 games conjecture? In Proceedings of the 50th Annual ACM SIGACT Symposium on Theory of Computing, pages 376–389, 2018

Reference 15

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source=pdf_text observed=2026-06-30T02:06:02.899748Z digest=sha256:3deb6f999d0a8ecc2d8dbfa2753e15ab84a1203e959f81e7f3050e3ec33dd9ab

Observation 6691794a-0b22-4528-af94-6366afc69865 · outbound

This paper cites On non-optimally expanding sets in grassmann graphs.

Toward a KKL Theorem for any HDX On non-optimally expanding sets in grassmann graphs

Reference 16

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source=pdf_text observed=2026-06-30T02:06:02.899748Z digest=sha256:1fbfc8c7acbe28ca293d504160081dd436385e850fbe89869c1709d2cc3723eb

Observation 1560d7db-dd3a-4975-ae9c-414f3a237510 · outbound

This paper cites Small-set expansion in shortcode graph and the 2-to-2 conjecture.

Toward a KKL Theorem for any HDX Small-set expansion in shortcode graph and the 2-to-2 conjecture

Reference 17

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source=pdf_text observed=2026-06-30T02:06:02.899748Z digest=sha256:02a0c54ace2d7b20b0e71f4aa690ad388c60692bf043b70e6be6667f8137b872

Observation 1c6610cd-b5eb-4fff-b1a2-8748da43b6e0 · outbound

This paper cites Small-set expansion in the johnson graph.

Toward a KKL Theorem for any HDX Small-set expansion in the johnson graph

Reference 18

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Observation cc61fc2b-2e63-4f11-90e1-6e9ca466e79c · outbound

This paper cites Near optimal alphabet-soundness tradeoff pcps.

Toward a KKL Theorem for any HDX Near optimal alphabet-soundness tradeoff pcps

Reference 19

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source=pdf_text observed=2026-06-30T02:06:02.899748Z digest=sha256:74efb11dd16c5889e1deddea5d1f0eaed0dc255022a801f1d6f1c4695a55b0c2

Observation 773ad9be-982f-4389-9825-1839c5723421 · outbound

This paper cites Multi-pass streaming lower bounds for approximating max-cut.

Toward a KKL Theorem for any HDX Multi-pass streaming lower bounds for approximating max-cut

Reference 20

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source=pdf_text observed=2026-06-30T02:06:02.899748Z digest=sha256:ac7aaf4ca2c08bb67e85810784a5db793afcc47271afc4c9750b1beed480ddca

Observation 03851d59-78d7-460a-b3f6-92eccee453f0 · outbound

This paper cites Sharp hypercontractivity for global functions.Journal of the European Mathematical Society, 2026.

Toward a KKL Theorem for any HDX Sharp hypercontractivity for global functions.Journal of the European Mathematical Society, 2026

Reference 21

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source=pdf_text observed=2026-06-30T02:06:02.899748Z digest=sha256:a317295a2e9187957562b8bd81f3306c5651e9d46359b420d4c3a4e726c75dbc

Observation f4ac628f-f58d-4abd-834d-65e29435a2b7 · outbound

This paper cites On the largest product-free subsets of the alternating groups.

Toward a KKL Theorem for any HDX On the largest product-free subsets of the alternating groups

Reference 22

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source=pdf_text observed=2026-06-30T02:06:02.899748Z digest=sha256:d495e0bdafcf46b141db23a17dc1093d9b19fe35bec70111d83065291783b91a

Observation c1a1f9b7-4b5c-4a07-a8f8-4ed113fd4b01 · outbound

This paper cites On t-intersecting families of permutations.

Toward a KKL Theorem for any HDX On t-intersecting families of permutations

Reference 23

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source=pdf_text observed=2026-06-30T02:06:02.899748Z digest=sha256:ad4ddf5c1386d144da60779f81e849723ca97b7ea26dfd2ad288479f734b1a9f

Observation e1d780c8-64ff-4e43-b056-8d7d5b6664af · outbound

This paper cites New bounds for the Furstenberg-S\'ark\"ozy theorem.

Toward a KKL Theorem for any HDX New bounds for the Furstenberg-S\'ark\"ozy theorem

Reference 24

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source=pdf_text observed=2026-06-30T02:06:02.899748Z digest=sha256:780259261d2bdaeff2c9b49655ab1d074889dd3ec7f5b2c32c33ff539f3c1635

Observation 5e801e81-d74a-4882-88e4-df9fe9089e61 · outbound

This paper cites High order random walks: Beyond spectral gap.Combinatorica, pages 1–37, 2020.

Toward a KKL Theorem for any HDX High order random walks: Beyond spectral gap.Combinatorica, pages 1–37, 2020

Reference 25

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Observation b0caf071-2cd0-4538-b82f-ded27cae7462 · outbound

This paper cites Boolean function analysis on high- dimensional expanders.

Toward a KKL Theorem for any HDX Boolean function analysis on high- dimensional expanders

Reference 26

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Observation f50e43ec-e913-48cc-9d49-58bed56ba412 · outbound

This paper cites High dimensional expanders: Eigenstrip- ping, pseudorandomness, and unique games.

Toward a KKL Theorem for any HDX High dimensional expanders: Eigenstrip- ping, pseudorandomness, and unique games

Reference 27

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source=pdf_text observed=2026-06-30T02:06:02.899748Z digest=sha256:195fb908bd42a3f557cbe0bbb95cf1178877a4a53f99969ce951eb2c35e5018c

Observation 64907a3f-9c15-47c4-bc05-6fc7b6c89993 · outbound

This paper cites Hypercontractivity on high dimensional expanders.

Toward a KKL Theorem for any HDX Hypercontractivity on high dimensional expanders

Reference 28

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source=pdf_text observed=2026-06-30T02:06:02.899748Z digest=sha256:5c4830a3d79134a2d094edeb697519d44065e8e136ea9a496ee1a331a0d3a978

Observation 6f8c8102-7575-49e5-a3fd-c0e81b62b1e9 · outbound

This paper cites Hypercontractivity on high dimensional expanders.

Toward a KKL Theorem for any HDX Hypercontractivity on high dimensional expanders

Reference 29

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source=pdf_text observed=2026-06-30T02:06:02.899748Z digest=sha256:d25e0a39fc07bbca02d0d1774d69f3ee8ec52569a39d6ed68bbbad38a239e335

Observation fbb593cc-2ad6-469e-b7af-9da3eac89023 · outbound

This paper cites Eigenstripping, spectral decay, and edge-expansion on posets.

Toward a KKL Theorem for any HDX Eigenstripping, spectral decay, and edge-expansion on posets

Reference 30

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source=pdf_text observed=2026-06-30T02:06:02.899748Z digest=sha256:23eec014bb616a3b10d15174184beb15105c7c99715d68bd5323d92cf822691b

Observation 160a9ef2-2a43-407d-825e-754a571669b0 · outbound

This paper cites Hypercontractivity on hdx ii: Symmetrization andq-norms.

Toward a KKL Theorem for any HDX Hypercontractivity on hdx ii: Symmetrization andq-norms

Reference 31

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source=pdf_text observed=2026-06-30T02:06:02.899748Z digest=sha256:aa4075b275a409e6d97fb88df8e8b961947073d36952f5f7751e9eb9d1bf2502

Observation a35b168b-fb48-4bbf-8b49-dbde3295e049 · outbound

This paper cites High dimensional expanders imply agreement expanders.

Toward a KKL Theorem for any HDX High dimensional expanders imply agreement expanders

Reference 32

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Observation 071f516c-7d6c-4f3d-982e-8262c8653aba · outbound

This paper cites Agreement testing theorems on layered set systems.

Toward a KKL Theorem for any HDX Agreement testing theorems on layered set systems

Reference 33

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Observation c68ce7b7-ad1b-499a-a045-cf8a8acee3b0 · outbound

This paper cites Local-to-global agreement expansion via the variance method.

Toward a KKL Theorem for any HDX Local-to-global agreement expansion via the variance method

Reference 34

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source=pdf_text observed=2026-06-30T02:06:02.899748Z digest=sha256:12c8d67034db972f24521632ec0c72a709a83aa6d3443ad97ee25d02db7d389f

Observation 0fcfcbe7-c317-4aef-b9d5-77e23c24b168 · outbound

This paper cites Approximating constraint satisfaction problems on high-dimensional expanders.

Toward a KKL Theorem for any HDX Approximating constraint satisfaction problems on high-dimensional expanders

Reference 35

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source=pdf_text observed=2026-06-30T02:06:02.899748Z digest=sha256:382917d67836a6b2a40802c236d3bd70a1f71bea75b34c31b3b291ad8f8054b9

Observation 2fd76baa-18af-4a6b-91d8-9901104d1405 · outbound

This paper cites Explicit sos lower bounds from high-dimensional expanders.

Toward a KKL Theorem for any HDX Explicit sos lower bounds from high-dimensional expanders

Reference 36

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source=pdf_text observed=2026-06-30T02:06:02.899748Z digest=sha256:c91aff9f18b7205b77a33ef1ee421734f783e2f6bebd682fed8d441333eaf919

Observation 1dd9ba45-1e97-4a32-829c-28bbdb293cc7 · outbound

This paper cites Explicit lower bounds againstω (n)-rounds of sum-of-squares.

Toward a KKL Theorem for any HDX Explicit lower bounds againstω (n)-rounds of sum-of-squares

Reference 37

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source=pdf_text observed=2026-06-30T02:06:02.899748Z digest=sha256:4a2250896227f96151118e733416b1b150bdd5022c997ed7e3f3417212988888

Observation ac03007f-a8bc-4432-b673-1602d3574c94 · outbound

This paper cites Sampling equilibria: Fast no-regret learning in structured games.

Toward a KKL Theorem for any HDX Sampling equilibria: Fast no-regret learning in structured games

Reference 38

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source=pdf_text observed=2026-06-30T02:06:02.899748Z digest=sha256:c72ac5c8766df457d440b6e4e05b10ba11811b5ac971e3ffae0a4ecaf7661874

Observation bc8d1936-5713-4750-a565-b87026df7184 · outbound

This paper cites Log-concave polynomials ii: high-dimensional walks and an FPRAS for counting bases of a matroid.

Toward a KKL Theorem for any HDX Log-concave polynomials ii: high-dimensional walks and an FPRAS for counting bases of a matroid

Reference 39

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source=pdf_text observed=2026-06-30T02:06:02.899748Z digest=sha256:0e46d97a8b6f2b50aff26611744c9ab62344809363401fd83066214f9299468c

Observation 892242b1-8be8-4dff-a965-acb447dade70 · outbound

This paper cites Improved analysis of higher order random walks and applications.

Toward a KKL Theorem for any HDX Improved analysis of higher order random walks and applications

Reference 40

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Source-reported events for the cited work

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source=pdf_text observed=2026-06-30T02:06:02.899748Z digest=sha256:26ed5592e0ece6de14777375d16e9651c6af1b2ca4e23da000486b68d3b694a9

Observation 361918a2-b498-4fc2-834c-a73466081f21 · outbound

This paper cites Spectral independence in high-dimensional expanders and applications to the hardcore model.SIAM Journal on Computing, 53(6):FOCS20–1, 2021.

Toward a KKL Theorem for any HDX Spectral independence in high-dimensional expanders and applications to the hardcore model.SIAM Journal on Computing, 53(6):FOCS20–1, 2021

Reference 41

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source=pdf_text observed=2026-06-30T02:06:02.899748Z digest=sha256:5d664aae051bb8a1c35b8f45943992e3ec60ae9daf078fd6ed4a74f6eb982291

Observation 144e6b85-cd62-472f-8fce-3379adabb1bd · outbound

This paper cites Rapid mixing of glauber dynamics up to uniqueness via contraction.

Toward a KKL Theorem for any HDX Rapid mixing of glauber dynamics up to uniqueness via contraction

Reference 42

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source=pdf_text observed=2026-06-30T02:06:02.899748Z digest=sha256:81803f7c3021527e262c4520cc13ce4b836566637ae2658633965245c019b7db

Observation d123d12a-2a46-4008-a663-95114f398d89 · outbound

This paper cites Optimal mixing of glauber dynamics: Entropy factorization via high-dimensional expansion.

Toward a KKL Theorem for any HDX Optimal mixing of glauber dynamics: Entropy factorization via high-dimensional expansion

Reference 43

Resolution
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source=pdf_text observed=2026-06-30T02:06:02.899748Z digest=sha256:afee668c7005d388981cfe5da4be070708f6899dff873d018c8546ea24212c02

Observation 5eda08e1-4c50-4efb-b82a-8ae49993cf16 · outbound

This paper cites Rapid mixing for colorings via spectral independence.

Toward a KKL Theorem for any HDX Rapid mixing for colorings via spectral independence

Reference 44

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Source-reported events for the cited work

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source=pdf_text observed=2026-06-30T02:06:02.899748Z digest=sha256:8a7323d8e4e90b7ce947af600830e8a4fa12488462f9d028753d949730d0fa5c

Observation bdbda2bc-1f63-43fa-9fe1-883cf0e49013 · outbound

This paper cites Rapid mixing from spectral independence beyond the boolean domain.

Toward a KKL Theorem for any HDX Rapid mixing from spectral independence beyond the boolean domain

Reference 45

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Source-reported events for the cited work

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source=pdf_text observed=2026-06-30T02:06:02.899748Z digest=sha256:0e3020b63a3bd3e4e42805c6299f447ebda62ade497881732822b413e3d74739

Observation b3f52487-0c40-49cc-a0da-0c614e983281 · outbound

This paper cites Spectral independence, coupling, and the spectral gap of the glauber dynamics.Information Processing Letters, 177:106268, 2022.

Toward a KKL Theorem for any HDX Spectral independence, coupling, and the spectral gap of the glauber dynamics.Information Processing Letters, 177:106268, 2022

Reference 46

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source=pdf_text observed=2026-06-30T02:06:02.899748Z digest=sha256:196d14df945eeb04844a8e1360ff532b5cf55ee4c82673a16a7d39d04c704a71

Observation 189a78a6-d096-4ad9-866c-61739cf4701b · outbound

This paper cites From coupling to spectral independence and blackbox comparison with the down-up walk.

Toward a KKL Theorem for any HDX From coupling to spectral independence and blackbox comparison with the down-up walk

Reference 47

Resolution
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no resolver link, observed 2026-06-30T02:06:02.899748Z

Source-reported events for the cited work

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source=pdf_text observed=2026-06-30T02:06:02.899748Z digest=sha256:38f7188db42f2c447d34878a97c47d9bc6269bbae41e7526683d2ac3c03d9371

Observation 3dd2878c-2cdb-4a3c-84f5-e7f90c1a5da8 · outbound

This paper cites On mixing of markov chains: Coupling, spectral independence, and entropy factorization.

Toward a KKL Theorem for any HDX On mixing of markov chains: Coupling, spectral independence, and entropy factorization

Reference 48

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Source-reported events for the cited work

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source=pdf_text observed=2026-06-30T02:06:02.899748Z digest=sha256:efcb4d94e0574998741f945fd7c0425949729e6984eb812185077d1d240bceeb

Observation bef5e9ad-d084-4048-8d57-e8a9e6531926 · outbound

This paper cites Locally testable codes with constant rate, distance, and locality.

Toward a KKL Theorem for any HDX Locally testable codes with constant rate, distance, and locality

Reference 49

Resolution
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no resolver link, observed 2026-06-30T02:06:02.899748Z

Source-reported events for the cited work

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source=pdf_text observed=2026-06-30T02:06:02.899748Z digest=sha256:ef08b9f583911ef5bced06f576607a8e7fc44ee1cf8f4e94a452cbed03e0c5e7

Observation 25af53e1-a23e-4ae5-bd5b-aa4d71c4c5d2 · outbound

This paper cites Asymptotically good quantum and locally testable classical ldpc codes.

Toward a KKL Theorem for any HDX Asymptotically good quantum and locally testable classical ldpc codes

Reference 50

Resolution
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no resolver link, observed 2026-06-30T02:06:02.899748Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-30T02:06:02.899748Z digest=sha256:5d6d2a7532b4018f57a9c6ce9b96973a42d6d94d55ed2df462f747034c136fdf

Observation 9d5c4a4c-fe2d-49d2-9042-7e028a97c29c · outbound

This paper cites New codes on high dimensional expanders.

Toward a KKL Theorem for any HDX New codes on high dimensional expanders

Reference 51

Resolution
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-30T02:06:02.899748Z digest=sha256:a65fb0c57809f8020d4d3adcfcacafed419a6def322babf7b557a2c760770792

Observation 7835f810-ef46-4f75-9866-89736f31197f · outbound

This paper cites Chernoff bounds and reverse hypercontractivity on hdx.

Toward a KKL Theorem for any HDX Chernoff bounds and reverse hypercontractivity on hdx

Reference 52

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Source-reported events for the cited work

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source=pdf_text observed=2026-06-30T02:06:02.899748Z digest=sha256:0c658512aa86ca353b74b2d8a583489ce72518f9083cb7f0b4c8815dc85623f8

Observation c07aa64f-29a8-455a-8ab1-92bae5910d0d · outbound

This paper cites Low acceptance agreement tests via bounded-degree symplectic hdxs.

Toward a KKL Theorem for any HDX Low acceptance agreement tests via bounded-degree symplectic hdxs

Reference 53

Resolution
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no resolver link, observed 2026-06-30T02:06:02.899748Z

Source-reported events for the cited work

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source=pdf_text observed=2026-06-30T02:06:02.899748Z digest=sha256:3532f0d698f4e5d64f5841d67194b15678fa9fdc0a492a2f543c2852c18d07e0

Observation 195ce949-39f4-492d-97da-c9b7ad0ce08c · outbound

This paper cites Constant degree direct product testers with small soundness.

Toward a KKL Theorem for any HDX Constant degree direct product testers with small soundness

Reference 54

Resolution
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Source-reported events for the cited work

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source=pdf_text observed=2026-06-30T02:06:02.899748Z digest=sha256:aecc66dc52e70d4dc38aec7f9e437de59e5179fa84e42b063b76110080cc8531

Observation fe1ebd05-e490-48e5-b494-76669bc9e927 · outbound

This paper cites Quasi-linear size pcps with small soundness from hdx.

Toward a KKL Theorem for any HDX Quasi-linear size pcps with small soundness from hdx

Reference 55

Resolution
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no resolver link, observed 2026-06-30T02:06:02.899748Z

Source-reported events for the cited work

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source=pdf_text observed=2026-06-30T02:06:02.899748Z digest=sha256:ed5f02250943f42ca0ed0efa725ad46d23c9485aa5ca95766aea4d976f170a8b

Observation 2d40636e-4152-4ac5-8c74-e0d9fd4e7b3e · outbound

This paper cites Explicit lossless vertex expanders.

Toward a KKL Theorem for any HDX Explicit lossless vertex expanders

Reference 56

Resolution
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Source-reported events for the cited work

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source=pdf_text observed=2026-06-30T02:06:02.899748Z digest=sha256:fd1e226c0e605248da25b42676227436bc418ef7e95909512d75185edd2a483f

Observation c487e6d7-9be9-40a2-9e57-bed01ccc878b · outbound

This paper cites Hypercontractivity on high dimensional expanders.

Toward a KKL Theorem for any HDX Hypercontractivity on high dimensional expanders

Reference 57

Resolution
metadata mismatch
arxiv_id, observed 2026-06-30T02:54:10.786997Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-06-30T02:06:02.899748Z digest=sha256:ffd632c6efcb3364aa13dc75ca27be3faf18fbe415476045a643659ff297d2d5

Observation 9bebaf35-a7a0-4715-b161-c9952c68d3b9 · outbound

This paper cites Composition of low-error 2-query pcps using decodable pcps.SIAM Journal on Computing, 42(6):2452–2486.

Toward a KKL Theorem for any HDX Composition of low-error 2-query pcps using decodable pcps.SIAM Journal on Computing, 42(6):2452–2486

Reference 58

Resolution
metadata mismatch
arxiv_id, observed 2026-06-30T02:54:10.783463Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-06-30T02:06:02.899748Z digest=sha256:dd11a1c06fd34683374441facdc52ebff7c36776e8e987358ae39a0a827ef1cb

Observation be46cf9f-5541-4b6a-8879-e7e648015cbb · outbound

This paper cites Explicit constructions of ramanujan complexes of type Ad.

Toward a KKL Theorem for any HDX Explicit constructions of ramanujan complexes of type Ad

Reference 59

Resolution
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Source-reported events for the cited work

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source=pdf_text observed=2026-06-30T02:06:02.899748Z digest=sha256:19b8a281dade4dc6a44bc322b1afe32a5467a3357d29e02ebaa85048c7117126

Observation 7bd152f8-a6bd-416c-8d93-975022154d94 · outbound

This paper cites Construction of new local spectral high dimensional expanders.

Toward a KKL Theorem for any HDX Construction of new local spectral high dimensional expanders

Reference 60

Resolution
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Source-reported events for the cited work

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source=pdf_text observed=2026-06-30T02:06:02.899748Z digest=sha256:85dd3f413730643c284110f1dfe1e9494346860f134ed9fd783f4ff5809b3e31

Observation 85aacbe2-91bd-435a-879f-d8b63b378ce3 · outbound

This paper cites New high dimensional expanders from covers.

Toward a KKL Theorem for any HDX New high dimensional expanders from covers

Reference 61

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Source-reported events for the cited work

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source=pdf_text observed=2026-06-30T02:06:02.899748Z digest=sha256:1679e90499105b09bbe175ab1eb6186b2aa645d4ee730e69de03cc1d3ab61c18

Observation 6b80b3f0-38f3-4862-bdb2-40dd57306ab3 · outbound

This paper cites Improved product-based high-dimensional expanders.

Toward a KKL Theorem for any HDX Improved product-based high-dimensional expanders

Reference 62

Resolution
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no resolver link, observed 2026-06-30T02:06:02.899748Z

Source-reported events for the cited work

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source=pdf_text observed=2026-06-30T02:06:02.899748Z digest=sha256:ff54e1c322a2f272b5b8ac314e615c50bf5e9e08e83d6798842581ab0486804c

Observation ae70b4fb-3dc9-4e1d-8092-b55f9d7de420 · outbound

This paper cites Fine grained analysis of high dimensional random walks.Approximation, Randomization, and Combinatorial Optimization.

Toward a KKL Theorem for any HDX Fine grained analysis of high dimensional random walks.Approximation, Randomization, and Combinatorial Optimization

Reference 63

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Source-reported events for the cited work

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source=pdf_text observed=2026-06-30T02:06:02.899748Z digest=sha256:99bf05305e786068d181929e2ee92c9045c6cbc437b169ddd8f04a8651b83048

Observation 30018bb6-47c3-4155-853f-456bcbbc8a49 · outbound

This paper cites Isoperimetric inequalities for ramanujan complexes and topological expanders.Geometric and Functional Analysis, 26(1):250–287, 2016.

Toward a KKL Theorem for any HDX Isoperimetric inequalities for ramanujan complexes and topological expanders.Geometric and Functional Analysis, 26(1):250–287, 2016

Reference 64

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source=pdf_text observed=2026-06-30T02:06:02.899748Z digest=sha256:28129652aaafdfe4c597d3571be796f3733472d9f9b450cb574a1c9e3c9e6d49

Observation c0ac3f7e-65a8-42d3-bd4b-91055c6e4407 · outbound

This paper cites Local spectral expansion approach to high dimensional expanders part i: Descent of spectral gaps.

Toward a KKL Theorem for any HDX Local spectral expansion approach to high dimensional expanders part i: Descent of spectral gaps

Reference 65

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source=pdf_text observed=2026-06-30T02:06:02.899748Z digest=sha256:4ed08655b37995c0ed88e3b280906fe8862b3622ec85521b05d1894374b705d9

Observation ff2a5b6c-1939-4c74-b787-6ba83369d715 · outbound

This paper cites Spreading of sets in product spaces and hypercontraction of the markov operator.The annals of probability, pages 925–939, 1976.

Toward a KKL Theorem for any HDX Spreading of sets in product spaces and hypercontraction of the markov operator.The annals of probability, pages 925–939, 1976

Reference 66

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Source-reported events for the cited work

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source=pdf_text observed=2026-06-30T02:06:02.899748Z digest=sha256:5cf303a35e54ee8102d04b7464ebc710cf6bad83583ffea2e53ec54c895fd71a

Observation 6dbd4b93-ddcd-42d3-a444-899fbb04a74f · outbound

This paper cites Log-sobolev inequality for the multislice, with applications.

Toward a KKL Theorem for any HDX Log-sobolev inequality for the multislice, with applications

Reference 67

Resolution
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no resolver link, observed 2026-06-30T02:06:02.899748Z

Source-reported events for the cited work

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source=pdf_text observed=2026-06-30T02:06:02.899748Z digest=sha256:655b4cc61b9357a7bf5d95aec0a5e1cbd8fdeedf81754450734efb8aab004181

Observation 0a05b14e-e28c-434d-b7fd-aed8f3093879 · outbound

This paper cites A sharp log-sobolev inequality for the multislice.Annales Henri Lebesgue, 4:1143–1161, 2021.

Toward a KKL Theorem for any HDX A sharp log-sobolev inequality for the multislice.Annales Henri Lebesgue, 4:1143–1161, 2021

Reference 68

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no resolver link, observed 2026-06-30T02:06:02.899748Z

Source-reported events for the cited work

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source=pdf_text observed=2026-06-30T02:06:02.899748Z digest=sha256:6e0f2b44b4a13284383928ef52974e9fb6368fe7ed712846c161c7f445438e1c

Observation 7e857af8-297e-40b1-ac32-249b60a05d33 · outbound

This paper cites Hypercontractivity on the symmetric group.

Toward a KKL Theorem for any HDX Hypercontractivity on the symmetric group

Reference 69

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unresolved
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Source-reported events for the cited work

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source=pdf_text observed=2026-06-30T02:06:02.899748Z digest=sha256:e94c43f9ae5ca57910fbbc01bacbe66d250107fe9535f799f443bec2e856a7e8

Observation 649e9f85-007f-422c-88d5-cdbc06e3ec90 · outbound

This paper cites Forbidden intersection problems for families of linear maps.

Toward a KKL Theorem for any HDX Forbidden intersection problems for families of linear maps

Reference 70

Resolution
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no resolver link, observed 2026-06-30T02:06:02.899748Z

Source-reported events for the cited work

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source=pdf_text observed=2026-06-30T02:06:02.899748Z digest=sha256:711fe5de2ecf9163686f79a8bbeb437230780e87e83df586248e81b1f412c40d

Observation 9cc1f446-03f9-41e0-8413-41c545a0f81f · outbound

This paper cites Beyond the worst case: Structured convergence of high dimensional random walks.CoRR, 2022.

Toward a KKL Theorem for any HDX Beyond the worst case: Structured convergence of high dimensional random walks.CoRR, 2022

Reference 71

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Source-reported events for the cited work

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source=pdf_text observed=2026-06-30T02:06:02.899748Z digest=sha256:468b90d74ab21401b243affd8e13553a3d77c1f6966561d19ed9ba4ce76a70ef

Observation 20176997-f946-4d4e-bfd4-1fcd9d1a7bca · outbound

This paper cites High dimensional random walks and colorful expansion.

Toward a KKL Theorem for any HDX High dimensional random walks and colorful expansion

Reference 72

Resolution
unresolved
no resolver link, observed 2026-06-30T02:06:02.899748Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-30T02:06:02.899748Z digest=sha256:8b0512e9428cf1cc399a78427d6b8ea10e065daf8f7391f01e1931dd7a20c72f

Observation 8e485e0b-c2a0-494d-abd7-583cbb1362ba · outbound

This paper cites p-adic curvature and the cohomology of discrete subgroups of p-adic groups.Annals of Mathematics, pages 375–423, 1973.

Toward a KKL Theorem for any HDX p-adic curvature and the cohomology of discrete subgroups of p-adic groups.Annals of Mathematics, pages 375–423, 1973

Reference 73

Resolution
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Source-reported events for the cited work

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source=pdf_text observed=2026-06-30T02:06:02.899748Z digest=sha256:810ba61093477062fc3644fd3209978d135b506b381b3f6980a9eb65fa09359a

Observation 8ece6b24-1f55-42ff-a300-74ca546ae4fb · outbound

This paper cites High dimensional expanders and property testing.

Toward a KKL Theorem for any HDX High dimensional expanders and property testing

Reference 74

Resolution
unresolved
no resolver link, observed 2026-06-30T02:06:02.899748Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-30T02:06:02.899748Z digest=sha256:d06ade12db35a08982cd28ecb2e873411ff328712dd454986abbf03aee7f0c10

Observation ea5c4656-daf0-426d-8c0f-9eb23f84d30e · outbound

This paper cites Decodable quantum LDPC codes beyond the square root distance barrier using high dimensional expanders.

Toward a KKL Theorem for any HDX Decodable quantum LDPC codes beyond the square root distance barrier using high dimensional expanders

Reference 75

Resolution
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Source-reported events for the cited work

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source=pdf_text observed=2026-06-30T02:06:02.899748Z digest=sha256:fe79fcf00bb324b246a76a41cb569394589c6f0de101852c98ff9c225c6bcc66

Observation 12e1e8d2-a49c-4961-af07-1bb963369fb0 · outbound

This paper cites an unresolved cited work.

Toward a KKL Theorem for any HDX Unresolved cited work

Reference 76

Resolution
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Source-reported events for the cited work

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source=pdf_text observed=2026-06-30T02:06:02.899748Z digest=sha256:d66a89575ece072a67b86548930d444ae4ea0393b3fd2b229ef6771d1f8bc2b6

Observation 9e31a9f4-7327-401b-a7b3-b43a26930903 · outbound

This paper cites an unresolved cited work.

Toward a KKL Theorem for any HDX Unresolved cited work

Reference 77

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no resolver link, observed 2026-06-30T02:06:02.899748Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-30T02:06:02.899748Z digest=sha256:e4eec0defdd59d6164460c8c7063874f462c3bb98798078e2308760f9f3ef168

Observation be95ffe5-07ac-42c2-b53c-e228d5790eb0 · outbound

This paper cites The first result is [32, Corollary 7.6], and follows from a partite variant of the Trickling-Down Theorem.

Toward a KKL Theorem for any HDX The first result is [32, Corollary 7.6], and follows from a partite variant of the Trickling-Down Theorem

Reference 78

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source=pdf_text observed=2026-06-30T02:06:02.899748Z digest=sha256:bfb091e155a81327ec83f34b01b01c890f62321c8e1db89f54bdd0e542ce4dae

Observation 280a79e3-8a15-4caa-a5e4-2941866f7e9b · outbound

This paper cites an unresolved cited work.

Toward a KKL Theorem for any HDX Unresolved cited work

Reference 79

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no resolver link, observed 2026-06-30T02:06:02.899748Z

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source=pdf_text observed=2026-06-30T02:06:02.899748Z digest=sha256:8ebf96bfd10f0f0b1bade655c9b8043763d27aaf916a02b982bd46e1e3849c82

Observation 105265c3-a992-4389-98a9-cb978c633053 · outbound

This paper cites GLL show thatγ-products, and therefore partite one-sided HDX, have an approximate Fourier basis.

Toward a KKL Theorem for any HDX GLL show thatγ-products, and therefore partite one-sided HDX, have an approximate Fourier basis

Reference 80

Resolution
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no resolver link, observed 2026-06-30T02:06:02.899748Z

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source=pdf_text observed=2026-06-30T02:06:02.899748Z digest=sha256:15db1d8235dcb8126ac0b3ea8bb869248687d06f8dbd80e378e254258d2019b3

Observation 23d4ec73-c26d-487f-96b4-68b340f07f13 · outbound

This paper cites By construction, vi and vj are then also disconnected in M i,j τ , which violates the expansion assumption.

Toward a KKL Theorem for any HDX By construction, vi and vj are then also disconnected in M i,j τ , which violates the expansion assumption

Reference 81

Resolution
unresolved
no resolver link, observed 2026-06-30T02:06:02.899748Z

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source=pdf_text observed=2026-06-30T02:06:02.899748Z digest=sha256:01d52efbcc9257b8be8758422e7e907e918c4b713df767a3b56e45afa17a0b45

Observation 6a02028d-4bef-4553-af7e-70c0d545ddf5 · outbound

This paper cites With this in mind, the proof of Theorem 4.3 follows easily from expandingf into the Efron-Stein basis.

Toward a KKL Theorem for any HDX With this in mind, the proof of Theorem 4.3 follows easily from expandingf into the Efron-Stein basis

Reference 82

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unresolved
no resolver link, observed 2026-06-30T02:06:02.899748Z

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source=pdf_text observed=2026-06-30T02:06:02.899748Z digest=sha256:da61f88bfffca934da461430b834c7909dd4c3ee1c55479e93e64748a8b36538

Pith citing papers

No inbound Pith citation observations are available.