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Paper Citation Record · LEDGER

Toward a KKL Theorem for any HDX

As of 20 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 2026-08-20T06:33:59.587034+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
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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:d00bd154713ed1a78c2fcfd8e7ee785d2948262745edb42b03b14c68192e95ed

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:b94f3e5b40f90e7f80cd234b474d1e8dc0bda4a016a626657255e77c67a8388d

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=sha256:5110f464867b81712fbe84ac38404d5a594d70497d172624451e207f5656c1f0

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:f829ee9bf2918faf5eab1a7f0127bcf6171fc25ff23f4caf1a1d796cd5592fb4

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=sha256:96ec3861a6a16836816b63e5e609ce4b06e9690ad844cb9f722a0370dc31ed37

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=sha256:0a7901d95cc56b1d1a49571960a1f49508a040a6dbe35117c7439766e905a75c

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:f6ca44aa99882fe80d764a27cf01b047e502bdffb412d9b2eae3ade6ff45e7ae

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=sha256:0e7854324217fc9290380ec02c09ba377edd7eb753bce218a3c4d0f47f7cb3f2

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=sha256:8a63597ca45faeb06b53ee809701ea5afa3ac0b89917e7f7bf8963f736333d09

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=sha256:0b6fb7dc72089c937c6926e626a08a09ab6e2f9e221dbd5a8ce8663b628e0801

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=sha256:38e1bacb36899e9139c2b15de8c578bed40765ba9974a8199fd95185dea4dcf7

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:fe212cdeaaa9b2e350e45eaca166c09c85031c19c9d06b278368a5c45cf8749a

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:c15d023326dda59a57fd391bcf2285f99dfa9efcd756e5aa64a4bf2771c92fa2

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=sha256:6a46584305abdb878353b1261b0e262d32b5d0c694b8b8100a52476dc18117d1

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:a206d7984955802d33d2449ae8a8174be27730ce71d578f0d4d6ead0df3cc733

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:c858f58c8391256676a2694bec1a135cb8ed140ff4aaefac304219682f2ef0b3

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=sha256:79628e42dc632862e72734caecc3203ce8cfd99b80a044beae4e9c8c0ab28e67

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:c9199a23eb71ed3fa755d8f25b11bbdfbedcef079981bdafb2462e892dcbf24e

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:ccf8b2cb74dd26dea6303f94c1b99d677864dc2f4c68513e61714476b4f3566f

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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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:a8fa6218b31a2a99adbb19717e300c527fc266f9ddae3ffda7ac48c8bdb8d322

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=sha256:2334ae9cd27ceba09b95be77b097ff118cddfb4d2a473e1ebe5d40cf27617fd3

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:a05b21423f642371950a1a18dda8905535cd5bec17c89e660faff8fdd7afcffb

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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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:edb06c52526f8e69f1dacea35db566c3dd4437b502b1b935e4190323b3ab0105

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:b5bda063f55060d44701289420baf27319e4d0acd71921f00de2c74b4d22ece8

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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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:fe6f284507c99f5b817b3014e6c14615dc04d0b543a11f429129105c72e4a46d

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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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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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=sha256:48c8528f5e4fddf04aba3e6c691988e5f4e928a9b843c7dc9636cf5c2de0e213

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:c659d448437d61d1af31f7ac05ae5fa22128e5a092121ae47afc754b01328568

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=sha256:9a3060d30ae0f629f9cebc09013270c2b74472991644a7ac20dfb4c30f0436eb

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:d74cc71f098b42c4eccbbb4677247f8dc3485777afca44981f52de526c393433

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=sha256:7c928a2d832ac54fa0befa9f74a6a9920cf25e247c6a90c4c3b1d7c55d5137bb

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=sha256:1ec0308872814d2c83ace1506dfe51ac7914b60a1a5da1c4c5fca020312e2855

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:e266356d756453269d2123bf249edd3df4d5e55289ffcb9f1a1a56ff260bf9aa

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

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source=pdf_text observed=2026-06-30T02:06:02.899748Z digest=sha256:3c1fe6ad9ea90a14436254f6de78d6ec05372545763aa1b7c3b11d7e84285080

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=sha256:0f18cbd04e9a984b37011aa378ffd2304d651427800025ec439d50701c80a37d

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=sha256:7268fdaa69abf53dc8310b05b57237a3fd921a4f27098703128009212e5dff24

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:d1447db188a300867d39c8eb9839b14880f6f382e9133f4fdb2ea6e1672719c2

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

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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:d1ea25f613472a9e79e5498ca8ebdbfcf302ac8eb9d8922364ed435aa9652220

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:f84734ba5a09260d99aa9f46aa830dc4b297fabd11b2b8df3a3510b89a6d83ae

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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Source-reported events for the cited work

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source=pdf_text observed=2026-06-30T02:06:02.899748Z digest=sha256:761547020e800668fdb78596e00ac4fdd69c59d4412bb053312739d47cd1a7de

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=sha256:89f61ca571bce9e3afa53b04b16038fbc9ce53b070f12b7806322bfd7204e926

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:e6bd52aecc61cece7715ee5d2aeb9d24b11032734fb7575348706a86b3ef4c65

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=sha256:80a421ffd772db7575287ff35b722a8dae07aeb2ec4163570d0c74a411a80d1c

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=sha256:588e058353ee7de28d5848eefe8f83652a48033afc7451baa1caac8385d6a06b

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=sha256:5affbe5f66cc5d9051e39c7df46484d081e818266cddc38529e6747a978d4867

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

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-30T02:06:02.899748Z digest=sha256:f0a1d1bd292cc1abfef3ae770acab2ef4efba1a2a1089ba8cb128af9dd211c28

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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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:d9a89da275e2ded8cadb220fa7be08d8603cec50374aa12de1f3c57efc2757c5

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-06-30T02:06:02.899748Z digest=sha256:1bf2ae55898c1ea153a73e7c37ce4ae329d9ff848c41a29e673e2c930a6d8b25

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-06-30T02:06:02.899748Z digest=sha256:b823645b31066f0cb4073e83085153d20a5ce640a22c0214ad258c57b1d88808

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

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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:e499598d9dc51aceb4a3a4f92de614087645a1b63bb9471c3fcb80828b0734c6

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=sha256:595c465c75870e57948e76d95fed54919c71325f02fbf9f1d68cd948f7b4e73b

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

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:d39387b950c3f8c948531f764b601183ee9a9797b6578efcdbf1d0320e5b7c63

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=sha256:66ce49fdea945c063cee9b901b9cd1b40b3c7453bbcea6cd9e7785205c670073

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=pdf_text observed=2026-06-30T02:06:02.899748Z digest=sha256:b31d5f864aefae5f25f5a025f3a0727e897dd8fe21a119c6b52d6b6e7f642f49

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-reported events for the cited work

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source=pdf_text observed=2026-06-30T02:06:02.899748Z digest=sha256:1b3210c873ac69fd8d55369cd01bb42e1abfda0accb37fd4dd79cccf11c1f875

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-reported events for the cited work

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source=pdf_text observed=2026-06-30T02:06:02.899748Z digest=sha256:60a505e7a42361e146d86b362d587cd3d3a53944fe9e5680d5e51fb815859e02

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=sha256:0a1cf8e752c126463a134281a27a8f5887bd8c29f5c92cd615be9626afbf214e

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

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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=sha256:16a866b4487fe1dc6819863869ef58a2cec7adaeeca6d71639ee359a8f10fee3

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:b490e929d79be18e9abc7590cf6292344a3504201395b29ae516f461694216ff

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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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=sha256:509e0e030823311b31d44f0ddc2cb9c2892928c894505d0d35cfe3509b756c1c

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:deabf4ffae887fcc497af0d2d62a0e008c5d3317b64a241559415b0923272c54

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=sha256:3943a5064e20eded0c6974f3d4406e2696e9d1805259b1f4fd6a4a69a0d6413e

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=sha256:9912e23ae11ae8f991a2eeb82b41a76b25a0f679e47bc846a525bb2a62a0be89

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

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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:dfecc33a31bebf41fafdd64ab3749883741c50e5fbc098a3a8696cec17c5658a

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
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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=sha256:198d16cee8f0587800a3fa3b46264dd723285ca09129e1dc1a1c5fbe2cd8afd6

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:a51be90b6aace852ca6ae30b0fab2a248700580c227ea0044f9180a1029b9057

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

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source=pdf_text observed=2026-06-30T02:06:02.899748Z digest=sha256:c9e2bbb84b2f4fce8bc94be66d141d532ca9fd3ac9afae96f3b8a2b59bf91900

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

Resolution
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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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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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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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

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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

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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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source=pdf_text observed=2026-06-30T02:06:02.899748Z digest=sha256:71ecd2cae1387a4579e7ea8561bebf00207a1e48db05a376197dfca091a461ae

Pith citing papers

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