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Paper Citation Record · LEDGER

A Beckmann boundary form of Talagrand's conjecture on the discrete cube

As of 19 August 2026, this Paper Citation Record lists 21 of 21 outbound references and 0 inbound Pith citation observations for arXiv:2606.31961.

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

pith.paper-citation-record.v1
2606.31961 v1

Coverage vector

measured 21 of 21 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-01T02:07:29.175862Z

measured 21 of 21 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

21 of 21 outbound references displayed

  • verified exact3
  • verified fuzzy15
  • unresolved3
  • parse uncertain0
  • malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 13a38dff-42a6-4f46-8a94-ca423d938258 · outbound

This paper cites Beckmann, A continuous model of transportation,Econometrica20 (1952), no.

A Beckmann boundary form of Talagrand's conjecture on the discrete cube Beckmann, A continuous model of transportation,Econometrica20 (1952), no

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-07-07T04:53:19.324041Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation ed476a5c-b0aa-4990-96d2-c8b6b67af655 · outbound

This paper cites Beckner, Inequalities in Fourier analysis,Ann.

A Beckmann boundary form of Talagrand's conjecture on the discrete cube Beckner, Inequalities in Fourier analysis,Ann

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-07-07T04:53:19.326249Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation fd2c994f-9011-4e20-970e-763f5387b380 · outbound

This paper cites On sharp isoperimetric inequalities on the hypercube.

A Beckmann boundary form of Talagrand's conjecture on the discrete cube On sharp isoperimetric inequalities on the hypercube

Reference 3

Resolution
verified exact
arxiv_id, observed 2026-07-01T12:25:43.527002Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation d17f6214-ba79-4559-a283-57799a849802 · outbound

This paper cites Ben Efraim and F.

A Beckmann boundary form of Talagrand's conjecture on the discrete cube Ben Efraim and F

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-07-07T04:53:19.295402Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 7596622c-cadf-4a0e-88da-28b8e6840cd8 · outbound

This paper cites Bonami, Étude des coefficients de Fourier des fonctions deLp(G),Ann.

A Beckmann boundary form of Talagrand's conjecture on the discrete cube Bonami, Étude des coefficients de Fourier des fonctions deLp(G),Ann

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-07-07T04:53:19.331165Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-07-01T02:07:29.175862Z digest=sha256:4e8a01908b4cfed3bb437c64976ca5a642d1064ce5ef767f5810ce79d05ee0d6

Observation e435536c-8ae9-4ba0-baba-f80ab22648f4 · outbound

This paper cites Cordero-Erausquin and A.

A Beckmann boundary form of Talagrand's conjecture on the discrete cube Cordero-Erausquin and A

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-07-07T04:53:19.310329Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 4b0b530b-a331-4be7-ade6-a44a90d28a26 · outbound

This paper cites Eldan and R.

A Beckmann boundary form of Talagrand's conjecture on the discrete cube Eldan and R

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-07-07T04:53:19.293475Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-07-01T02:07:29.175862Z digest=sha256:348f7b7c1c4822395f35d7ccf061f3d3b8813cfaaa280e39058617b98c415733

Observation 6b6019ba-4ab9-49ac-a585-741b8d834e10 · outbound

This paper cites Isoperimetric Inequalities Made Simpler.

A Beckmann boundary form of Talagrand's conjecture on the discrete cube Isoperimetric Inequalities Made Simpler

Reference 8

Resolution
verified exact
arxiv_id, observed 2026-07-01T12:25:43.529799Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 48b66f0d-b1f0-43fb-baa9-2dc3377bc440 · outbound

This paper cites Improving constant in end-point Poincar\'e inequality on Hamming cube.

A Beckmann boundary form of Talagrand's conjecture on the discrete cube Improving constant in end-point Poincar\'e inequality on Hamming cube

Reference 9

Resolution
verified exact
local_arxiv, observed 2026-07-01T12:25:43.523949Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation bfed61a7-5373-4242-855e-25cd7d9d1b0f · outbound

This paper cites Ivanisvili, R.

A Beckmann boundary form of Talagrand's conjecture on the discrete cube Ivanisvili, R

Reference 10

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 6b1314e3-1839-4a0a-82af-4f6be203674c · outbound

This paper cites Ivanisvili and H.

A Beckmann boundary form of Talagrand's conjecture on the discrete cube Ivanisvili and H

Reference 11

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation cbe4f2b0-6693-43a4-9b89-c1100c06631f · outbound

This paper cites an unresolved cited work.

A Beckmann boundary form of Talagrand's conjecture on the discrete cube Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-07-07T04:53:19.300146Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-07-01T02:07:29.175862Z digest=sha256:58f64c27b566508bc1d5f34ba28de2a2740dfe0cb3ba083762f9092cf88847b4

Observation f17f0e1d-cb0a-4e1b-ad94-dc6a1fade006 · outbound

This paper cites Keller and G.

A Beckmann boundary form of Talagrand's conjecture on the discrete cube Keller and G

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-07-07T04:53:19.302038Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation c971c11a-57da-4596-a351-115dde520aa1 · outbound

This paper cites Mossel, R.

A Beckmann boundary form of Talagrand's conjecture on the discrete cube Mossel, R

Reference 14

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 18743443-5f39-4b06-8e8a-69e701efbc90 · outbound

This paper cites O’Donnell,Analysis of Boolean Functions, Cambridge University Press, Cambridge.

A Beckmann boundary form of Talagrand's conjecture on the discrete cube O’Donnell,Analysis of Boolean Functions, Cambridge University Press, Cambridge

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-07-07T04:53:19.315095Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-07-01T02:07:29.175862Z digest=sha256:0d6ed8edc48120782b15c24cc64a3be9e1c5d75e4726c46f3029736cf01c5f1a

Observation c0daaa2a-8aae-4e18-8f60-f795f971d373 · outbound

This paper cites an unresolved cited work.

A Beckmann boundary form of Talagrand's conjecture on the discrete cube Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-07-07T04:53:19.305918Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-07-01T02:07:29.175862Z digest=sha256:086fe3993b70b97cfc7c362f8e019999d0a5b1c4e20679849e754beaf551b215

Observation 5ca90676-ada5-4d45-a79b-1d8468cc087e · outbound

This paper cites Rosenthal, Ramon van Handel’s Remarks on the Discrete Cube, lecture notes, 2020.

A Beckmann boundary form of Talagrand's conjecture on the discrete cube Rosenthal, Ramon van Handel’s Remarks on the Discrete Cube, lecture notes, 2020

Reference 17

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-07-01T02:07:29.175862Z digest=sha256:89975434a6d5bdc657815d08423188023accb578307d4409664d0a35e1c2fe8e

Observation f49920ef-c1a7-453f-b929-5ea8ed9cd5a9 · outbound

This paper cites an unresolved cited work.

A Beckmann boundary form of Talagrand's conjecture on the discrete cube Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-07-07T04:53:19.312879Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 89b0bd89-4b3f-41d8-bdcf-828216ebe3c5 · outbound

This paper cites Talagrand, Isoperimetry, logarithmic Sobolev inequalities on the discrete cube, and Margulis’ graph connectivity theorem,Geom.

A Beckmann boundary form of Talagrand's conjecture on the discrete cube Talagrand, Isoperimetry, logarithmic Sobolev inequalities on the discrete cube, and Margulis’ graph connectivity theorem,Geom

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-07-07T04:53:19.308322Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-07-01T02:07:29.175862Z digest=sha256:4e8c1edf5cd180a7ddb58a47296bf07419cd9ebc40a6eb3ecd8f0d6a72237458

Observation 7f5faed9-0520-4e5f-8eac-77f809d2f721 · outbound

This paper cites Talagrand, On Russo’s approximate zero-one law,Ann.

A Beckmann boundary form of Talagrand's conjecture on the discrete cube Talagrand, On Russo’s approximate zero-one law,Ann

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-07-07T04:53:19.328469Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-07-01T02:07:29.175862Z digest=sha256:c0fe05b40bf884801603f2cd2f25fc3fffd9ec09f47bab9a2929478f15baee3a

Observation d2eb2d0c-d590-443a-953d-dc3102a6f54e · outbound

This paper cites Talagrand, On boundaries and influences,Combinatorica17 (1997), no.

A Beckmann boundary form of Talagrand's conjecture on the discrete cube Talagrand, On boundaries and influences,Combinatorica17 (1997), no

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-07-07T04:53:19.303980Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Pith citing papers

No inbound Pith citation observations are available.