Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-06-30T02:06:02.899748Z
Paper Citation Record · LEDGER
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.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-06-30T02:06:02.899748Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
82 of 82 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation f57cbc4c-cce7-4c10-b1b2-1da1cb458821 · outbound
Toward a KKL Theorem for any HDX Unresolved cited work
Reference 1
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 85845160-a75e-4e24-a618-f203571e8f79 · outbound
Toward a KKL Theorem for any HDX Unresolved cited work
Reference 2
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 29faaef6-2e0b-4594-85f4-da17de2088ab · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 7e8e6abb-e9b4-4d0f-91d2-97253bb8e906 · outbound
Toward a KKL Theorem for any HDX On Russo’s approximate zero-one law.The Annals of Probability, pages 1576–1587, 1994
Reference 4
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 427870c5-78d6-452c-84fb-d74e7a58bffd · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6166c81f-a1a3-4007-a64e-28dc6e4ef96c · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ce4568b8-7748-4621-a23d-dff6c0741e98 · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b87b9cd3-4d69-4a1f-9b90-39f71deafab7 · outbound
Toward a KKL Theorem for any HDX Hypercontractivity for global functions and sharp thresholds
Reference 8
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8b57fa4f-7f16-4d00-af47-8d985fe63c2f · outbound
Toward a KKL Theorem for any HDX Noise sensitivity on the p-biased hypercube
Reference 9
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 3348646f-eaa5-401f-b8b3-3fd25190a873 · outbound
Toward a KKL Theorem for any HDX Product mixing in compact lie groups
Reference 10
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation db504dca-af0a-46d6-8e97-a9133f7de977 · outbound
Toward a KKL Theorem for any HDX Pseudorandom sets in grassmann graph have near-perfect expansion
Reference 11
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 72061abb-7ec0-4ef4-abe7-f96d2905dd09 · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d22205c9-50cf-496d-b8ce-adabf0cf2fa7 · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a02b7694-24c3-4f06-ab29-312b1c961e9f · outbound
Toward a KKL Theorem for any HDX On independent sets, 2-to-2 games, and grassmann graphs
Reference 14
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 36e3997f-ef1c-4f1e-90ad-37d6f1589bfd · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6691794a-0b22-4528-af94-6366afc69865 · outbound
Toward a KKL Theorem for any HDX On non-optimally expanding sets in grassmann graphs
Reference 16
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1560d7db-dd3a-4975-ae9c-414f3a237510 · outbound
Toward a KKL Theorem for any HDX Small-set expansion in shortcode graph and the 2-to-2 conjecture
Reference 17
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1c6610cd-b5eb-4fff-b1a2-8748da43b6e0 · outbound
Toward a KKL Theorem for any HDX Small-set expansion in the johnson graph
Reference 18
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation cc61fc2b-2e63-4f11-90e1-6e9ca466e79c · outbound
Toward a KKL Theorem for any HDX Near optimal alphabet-soundness tradeoff pcps
Reference 19
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 773ad9be-982f-4389-9825-1839c5723421 · outbound
Toward a KKL Theorem for any HDX Multi-pass streaming lower bounds for approximating max-cut
Reference 20
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 03851d59-78d7-460a-b3f6-92eccee453f0 · outbound
Toward a KKL Theorem for any HDX Sharp hypercontractivity for global functions.Journal of the European Mathematical Society, 2026
Reference 21
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f4ac628f-f58d-4abd-834d-65e29435a2b7 · outbound
Toward a KKL Theorem for any HDX On the largest product-free subsets of the alternating groups
Reference 22
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c1a1f9b7-4b5c-4a07-a8f8-4ed113fd4b01 · outbound
Toward a KKL Theorem for any HDX On t-intersecting families of permutations
Reference 23
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e1d780c8-64ff-4e43-b056-8d7d5b6664af · outbound
Toward a KKL Theorem for any HDX New bounds for the Furstenberg-S\'ark\"ozy theorem
Reference 24
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.
Observation 5e801e81-d74a-4882-88e4-df9fe9089e61 · outbound
Toward a KKL Theorem for any HDX High order random walks: Beyond spectral gap.Combinatorica, pages 1–37, 2020
Reference 25
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b0caf071-2cd0-4538-b82f-ded27cae7462 · outbound
Toward a KKL Theorem for any HDX Boolean function analysis on high- dimensional expanders
Reference 26
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f50e43ec-e913-48cc-9d49-58bed56ba412 · outbound
Toward a KKL Theorem for any HDX High dimensional expanders: Eigenstrip- ping, pseudorandomness, and unique games
Reference 27
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 64907a3f-9c15-47c4-bc05-6fc7b6c89993 · outbound
Toward a KKL Theorem for any HDX Hypercontractivity on high dimensional expanders
Reference 28
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6f8c8102-7575-49e5-a3fd-c0e81b62b1e9 · outbound
Toward a KKL Theorem for any HDX Hypercontractivity on high dimensional expanders
Reference 29
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation fbb593cc-2ad6-469e-b7af-9da3eac89023 · outbound
Toward a KKL Theorem for any HDX Eigenstripping, spectral decay, and edge-expansion on posets
Reference 30
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 160a9ef2-2a43-407d-825e-754a571669b0 · outbound
Toward a KKL Theorem for any HDX Hypercontractivity on hdx ii: Symmetrization andq-norms
Reference 31
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a35b168b-fb48-4bbf-8b49-dbde3295e049 · outbound
Toward a KKL Theorem for any HDX High dimensional expanders imply agreement expanders
Reference 32
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 071f516c-7d6c-4f3d-982e-8262c8653aba · outbound
Toward a KKL Theorem for any HDX Agreement testing theorems on layered set systems
Reference 33
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c68ce7b7-ad1b-499a-a045-cf8a8acee3b0 · outbound
Toward a KKL Theorem for any HDX Local-to-global agreement expansion via the variance method
Reference 34
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0fcfcbe7-c317-4aef-b9d5-77e23c24b168 · outbound
Toward a KKL Theorem for any HDX Approximating constraint satisfaction problems on high-dimensional expanders
Reference 35
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2fd76baa-18af-4a6b-91d8-9901104d1405 · outbound
Toward a KKL Theorem for any HDX Explicit sos lower bounds from high-dimensional expanders
Reference 36
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1dd9ba45-1e97-4a32-829c-28bbdb293cc7 · outbound
Toward a KKL Theorem for any HDX Explicit lower bounds againstω (n)-rounds of sum-of-squares
Reference 37
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ac03007f-a8bc-4432-b673-1602d3574c94 · outbound
Toward a KKL Theorem for any HDX Sampling equilibria: Fast no-regret learning in structured games
Reference 38
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation bc8d1936-5713-4750-a565-b87026df7184 · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 892242b1-8be8-4dff-a965-acb447dade70 · outbound
Toward a KKL Theorem for any HDX Improved analysis of higher order random walks and applications
Reference 40
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 361918a2-b498-4fc2-834c-a73466081f21 · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 144e6b85-cd62-472f-8fce-3379adabb1bd · outbound
Toward a KKL Theorem for any HDX Rapid mixing of glauber dynamics up to uniqueness via contraction
Reference 42
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d123d12a-2a46-4008-a663-95114f398d89 · outbound
Toward a KKL Theorem for any HDX Optimal mixing of glauber dynamics: Entropy factorization via high-dimensional expansion
Reference 43
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5eda08e1-4c50-4efb-b82a-8ae49993cf16 · outbound
Toward a KKL Theorem for any HDX Rapid mixing for colorings via spectral independence
Reference 44
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation bdbda2bc-1f63-43fa-9fe1-883cf0e49013 · outbound
Toward a KKL Theorem for any HDX Rapid mixing from spectral independence beyond the boolean domain
Reference 45
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b3f52487-0c40-49cc-a0da-0c614e983281 · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 189a78a6-d096-4ad9-866c-61739cf4701b · outbound
Toward a KKL Theorem for any HDX From coupling to spectral independence and blackbox comparison with the down-up walk
Reference 47
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 3dd2878c-2cdb-4a3c-84f5-e7f90c1a5da8 · outbound
Toward a KKL Theorem for any HDX On mixing of markov chains: Coupling, spectral independence, and entropy factorization
Reference 48
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation bef5e9ad-d084-4048-8d57-e8a9e6531926 · outbound
Toward a KKL Theorem for any HDX Locally testable codes with constant rate, distance, and locality
Reference 49
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 25af53e1-a23e-4ae5-bd5b-aa4d71c4c5d2 · outbound
Toward a KKL Theorem for any HDX Asymptotically good quantum and locally testable classical ldpc codes
Reference 50
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9d5c4a4c-fe2d-49d2-9042-7e028a97c29c · outbound
Toward a KKL Theorem for any HDX New codes on high dimensional expanders
Reference 51
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 7835f810-ef46-4f75-9866-89736f31197f · outbound
Toward a KKL Theorem for any HDX Chernoff bounds and reverse hypercontractivity on hdx
Reference 52
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c07aa64f-29a8-455a-8ab1-92bae5910d0d · outbound
Toward a KKL Theorem for any HDX Low acceptance agreement tests via bounded-degree symplectic hdxs
Reference 53
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 195ce949-39f4-492d-97da-c9b7ad0ce08c · outbound
Toward a KKL Theorem for any HDX Constant degree direct product testers with small soundness
Reference 54
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation fe1ebd05-e490-48e5-b494-76669bc9e927 · outbound
Toward a KKL Theorem for any HDX Quasi-linear size pcps with small soundness from hdx
Reference 55
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2d40636e-4152-4ac5-8c74-e0d9fd4e7b3e · outbound
Toward a KKL Theorem for any HDX Explicit lossless vertex expanders
Reference 56
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c487e6d7-9be9-40a2-9e57-bed01ccc878b · outbound
Toward a KKL Theorem for any HDX Hypercontractivity on high dimensional expanders
Reference 57
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.
Observation 9bebaf35-a7a0-4715-b161-c9952c68d3b9 · outbound
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
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.
Observation be46cf9f-5541-4b6a-8879-e7e648015cbb · outbound
Toward a KKL Theorem for any HDX Explicit constructions of ramanujan complexes of type Ad
Reference 59
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 7bd152f8-a6bd-416c-8d93-975022154d94 · outbound
Toward a KKL Theorem for any HDX Construction of new local spectral high dimensional expanders
Reference 60
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 85aacbe2-91bd-435a-879f-d8b63b378ce3 · outbound
Toward a KKL Theorem for any HDX New high dimensional expanders from covers
Reference 61
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6b80b3f0-38f3-4862-bdb2-40dd57306ab3 · outbound
Toward a KKL Theorem for any HDX Improved product-based high-dimensional expanders
Reference 62
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ae70b4fb-3dc9-4e1d-8092-b55f9d7de420 · outbound
Toward a KKL Theorem for any HDX Fine grained analysis of high dimensional random walks.Approximation, Randomization, and Combinatorial Optimization
Reference 63
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 30018bb6-47c3-4155-853f-456bcbbc8a49 · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c0ac3f7e-65a8-42d3-bd4b-91055c6e4407 · outbound
Toward a KKL Theorem for any HDX Local spectral expansion approach to high dimensional expanders part i: Descent of spectral gaps
Reference 65
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ff2a5b6c-1939-4c74-b787-6ba83369d715 · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6dbd4b93-ddcd-42d3-a444-899fbb04a74f · outbound
Toward a KKL Theorem for any HDX Log-sobolev inequality for the multislice, with applications
Reference 67
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0a05b14e-e28c-434d-b7fd-aed8f3093879 · outbound
Toward a KKL Theorem for any HDX A sharp log-sobolev inequality for the multislice.Annales Henri Lebesgue, 4:1143–1161, 2021
Reference 68
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 7e857af8-297e-40b1-ac32-249b60a05d33 · outbound
Toward a KKL Theorem for any HDX Hypercontractivity on the symmetric group
Reference 69
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 649e9f85-007f-422c-88d5-cdbc06e3ec90 · outbound
Toward a KKL Theorem for any HDX Forbidden intersection problems for families of linear maps
Reference 70
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9cc1f446-03f9-41e0-8413-41c545a0f81f · outbound
Toward a KKL Theorem for any HDX Beyond the worst case: Structured convergence of high dimensional random walks.CoRR, 2022
Reference 71
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 20176997-f946-4d4e-bfd4-1fcd9d1a7bca · outbound
Toward a KKL Theorem for any HDX High dimensional random walks and colorful expansion
Reference 72
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8e485e0b-c2a0-494d-abd7-583cbb1362ba · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8ece6b24-1f55-42ff-a300-74ca546ae4fb · outbound
Toward a KKL Theorem for any HDX High dimensional expanders and property testing
Reference 74
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ea5c4656-daf0-426d-8c0f-9eb23f84d30e · outbound
Toward a KKL Theorem for any HDX Decodable quantum LDPC codes beyond the square root distance barrier using high dimensional expanders
Reference 75
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 12e1e8d2-a49c-4961-af07-1bb963369fb0 · outbound
Toward a KKL Theorem for any HDX Unresolved cited work
Reference 76
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9e31a9f4-7327-401b-a7b3-b43a26930903 · outbound
Toward a KKL Theorem for any HDX Unresolved cited work
Reference 77
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation be95ffe5-07ac-42c2-b53c-e228d5790eb0 · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 280a79e3-8a15-4caa-a5e4-2941866f7e9b · outbound
Toward a KKL Theorem for any HDX Unresolved cited work
Reference 79
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 105265c3-a992-4389-98a9-cb978c633053 · outbound
Toward a KKL Theorem for any HDX GLL show thatγ-products, and therefore partite one-sided HDX, have an approximate Fourier basis
Reference 80
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 23d4ec73-c26d-487f-96b4-68b340f07f13 · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6a02028d-4bef-4553-af7e-70c0d545ddf5 · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
No inbound Pith citation observations are available.