Paper Citation Record · LEDGER

Log-Sobolev under random monotone censoring

As of 8 August 2026, this Paper Citation Record lists 31 of 31 outbound references and 0 inbound Pith citation observations for arXiv:2606.09221.

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

pith.paper-citation-record.v1
2606.09221 v1

Coverage vector

measured 31 of 31 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-27T15:36:22.189521Z

measured 31 of 31 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+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

31 of 31 outbound references displayed

verified exact2
verified fuzzy0
unresolved29
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation c8545ddd-b947-44a1-a38d-52d66d21d2ce · outbound

This paper cites Inequalities in F ourier analysis.

Log-Sobolev under random monotone censoring Inequalities in F ourier analysis

Reference 1

Resolution: unresolved; no resolver link, observed 2026-06-27T15:36:22.189521Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0003c1fe-0b1b-4aa3-ac57-2cf7c55142a7 · outbound

This paper cites Concentration inequalities.

Log-Sobolev under random monotone censoring Concentration inequalities

Reference 2

Resolution: unresolved; no resolver link, observed 2026-06-27T15:36:22.189521Z

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Observation 8a26104b-175a-4a4f-a76a-4f73020c8312 · outbound

This paper cites Random graphs , volume 73 of Cambridge Studies in Advanced Mathematics.

Log-Sobolev under random monotone censoring Random graphs , volume 73 of Cambridge Studies in Advanced Mathematics

Reference 3

Resolution: unresolved; no resolver link, observed 2026-06-27T15:36:22.189521Z

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Observation d602c66f-4a0a-4df4-9372-a36aecbb9d62 · outbound

This paper cites \' E tude des coefficients de F ourier des fonctions de L p (G).

Log-Sobolev under random monotone censoring \' E tude des coefficients de F ourier des fonctions de L p (G)

Reference 4

Resolution: unresolved; no resolver link, observed 2026-06-27T15:36:22.189521Z

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Observation bfa0e157-c140-465b-aefc-a3475702ea77 · outbound

This paper cites Percolation.

Log-Sobolev under random monotone censoring Percolation

Reference 5

Resolution: unresolved; no resolver link, observed 2026-06-27T15:36:22.189521Z

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Observation 1416409c-312a-4973-aa14-cd0ef25b0b71 · outbound

This paper cites Bobkov and Prasad Tetali.

Log-Sobolev under random monotone censoring Bobkov and Prasad Tetali

Reference 6

Resolution: unresolved; no resolver link, observed 2026-06-27T15:36:22.189521Z

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Observation d09747f7-cafd-4bcc-a024-345e640004f6 · outbound

This paper cites Poincar\'e inequality on the monotone sets revisited.

Log-Sobolev under random monotone censoring Poincar\'e inequality on the monotone sets revisited

Reference 7

Resolution: verified exact; arxiv_id, observed 2026-07-03T03:07:35.090749Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 89b87075-8ae3-4b02-8b26-dc021e58ebec · outbound

This paper cites Mixing under monotone censoring.

Log-Sobolev under random monotone censoring Mixing under monotone censoring

Reference 8

Resolution: unresolved; no resolver link, observed 2026-06-27T15:36:22.189521Z

Source-reported events for the cited work

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Observation 8b3682f5-2599-4d65-a5bc-d09279690d83 · outbound

This paper cites Diaconis and L.

Log-Sobolev under random monotone censoring Diaconis and L

Reference 9

Resolution: unresolved; no resolver link, observed 2026-06-27T15:36:22.189521Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e04e2991-799a-49c8-bbd0-63839bbfb39a · outbound

This paper cites Quelques applications du transport optimal en analyse et en probabilit \'e s.

Log-Sobolev under random monotone censoring Quelques applications du transport optimal en analyse et en probabilit \'e s

Reference 10

Resolution: unresolved; no resolver link, observed 2026-06-27T15:36:22.189521Z

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Observation d287dc0a-d982-4066-97b7-879207761010 · outbound

This paper cites An introduction to probability theory and its applications.

Log-Sobolev under random monotone censoring An introduction to probability theory and its applications

Reference 11

Resolution: unresolved; no resolver link, observed 2026-06-27T15:36:22.189521Z

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Observation d29b2e2c-40f0-4b2b-8b08-f6fa123444b7 · outbound

This paper cites On the spectral expansion of monotone subsets of the hypercube.

Log-Sobolev under random monotone censoring On the spectral expansion of monotone subsets of the hypercube

Reference 12

Resolution: unresolved; no resolver link, observed 2026-06-27T15:36:22.189521Z

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Unavailable: canonical work link unavailable.

Observation 59765030-a6d2-4df2-bdb0-8ef9d83b6119 · outbound

This paper cites Every monotone graph property has a sharp threshold.

Log-Sobolev under random monotone censoring Every monotone graph property has a sharp threshold

Reference 13

Resolution: unresolved; no resolver link, observed 2026-06-27T15:36:22.189521Z

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Unavailable: canonical work link unavailable.

Observation ed36444d-7b5b-459b-b806-3ae4648377fd · outbound

This paper cites Comparison inequalities and fastest-mixing M arkov chains.

Log-Sobolev under random monotone censoring Comparison inequalities and fastest-mixing M arkov chains

Reference 14

Resolution: unresolved; no resolver link, observed 2026-06-27T15:36:22.189521Z

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Observation 9e764697-f67d-4377-a478-6a0e24ede673 · outbound

This paper cites an unresolved cited work.

Log-Sobolev under random monotone censoring Unresolved cited work

Reference 15

Resolution: unresolved; no resolver link, observed 2026-06-27T15:36:22.189521Z

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Unavailable: canonical work link unavailable.

Observation 06831620-6467-407b-b1ed-0583479a404b · outbound

This paper cites Testing monotonicity.

Log-Sobolev under random monotone censoring Testing monotonicity

Reference 16

Resolution: unresolved; no resolver link, observed 2026-06-27T15:36:22.189521Z

Source-reported events for the cited work

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Observation 64d0668a-a264-4574-8129-1d7dab23cf5f · outbound

This paper cites Percolation.

Log-Sobolev under random monotone censoring Percolation

Reference 17

Resolution: unresolved; no resolver link, observed 2026-06-27T15:36:22.189521Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 229aecea-fb65-4cf6-9815-e21c34f4e05b · outbound

This paper cites The random-cluster model , volume 333 of Grundlehren der mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences].

Log-Sobolev under random monotone censoring The random-cluster model , volume 333 of Grundlehren der mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences]

Reference 18

Resolution: unresolved; no resolver link, observed 2026-06-27T15:36:22.189521Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 471ffd74-1fe2-47d9-9a28-0d3749db0cc7 · outbound

This paper cites Logarithmic S obolev inequalities.

Log-Sobolev under random monotone censoring Logarithmic S obolev inequalities

Reference 19

Resolution: unresolved; no resolver link, observed 2026-06-27T15:36:22.189521Z

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Observation e310219f-2eab-4f65-879e-de9d90f23cd1 · outbound

This paper cites an unresolved cited work.

Log-Sobolev under random monotone censoring Unresolved cited work

Reference 20

Resolution: unresolved; no resolver link, observed 2026-06-27T15:36:22.189521Z

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Unavailable: canonical work link unavailable.

Observation 736c35bb-8f93-44e7-bf1b-e47193201e5f · outbound

This paper cites The influence of variables on B oolean functions.

Log-Sobolev under random monotone censoring The influence of variables on B oolean functions

Reference 21

Resolution: unresolved; no resolver link, observed 2026-06-27T15:36:22.189521Z

Source-reported events for the cited work

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Observation 6ba2cba8-c674-41eb-ac3c-578bd8bc3259 · outbound

This paper cites an unresolved cited work.

Log-Sobolev under random monotone censoring Unresolved cited work

Reference 22

Resolution: unresolved; no resolver link, observed 2026-06-27T15:36:22.189521Z

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Observation a553a69f-ecdc-4981-9640-317b03aed3f6 · outbound

This paper cites an unresolved cited work.

Log-Sobolev under random monotone censoring Unresolved cited work

Reference 23

Resolution: unresolved; no resolver link, observed 2026-06-27T15:36:22.189521Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 84ec1e93-564a-4918-a076-449d147c47e6 · outbound

This paper cites Threshold phenomena and influence: perspectives from mathematics, computer science, and economics.

Log-Sobolev under random monotone censoring Threshold phenomena and influence: perspectives from mathematics, computer science, and economics

Reference 24

Resolution: unresolved; no resolver link, observed 2026-06-27T15:36:22.189521Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 06f6ae39-0992-44a0-a556-13b7329c75a0 · outbound

This paper cites Concentration of measure and logarithmic S obolev inequalities.

Log-Sobolev under random monotone censoring Concentration of measure and logarithmic S obolev inequalities

Reference 25

Resolution: unresolved; no resolver link, observed 2026-06-27T15:36:22.189521Z

Source-reported events for the cited work

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Observation 598fdb0d-f783-4fcc-be96-6729bdf4438b · outbound

This paper cites Logarithmic S obolev inequality for some models of random walks.

Log-Sobolev under random monotone censoring Logarithmic S obolev inequality for some models of random walks

Reference 26

Resolution: unresolved; no resolver link, observed 2026-06-27T15:36:22.189521Z

Source-reported events for the cited work

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Observation dfcfcb4b-5d0c-40aa-9eef-e7a8843db989 · outbound

This paper cites an unresolved cited work.

Log-Sobolev under random monotone censoring Unresolved cited work

Reference 27

Resolution: unresolved; no resolver link, observed 2026-06-27T15:36:22.189521Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6699aae3-3b86-4f29-9d6b-eb33d94d5573 · outbound

This paper cites Analysis of B oolean functions.

Log-Sobolev under random monotone censoring Analysis of B oolean functions

Reference 28

Resolution: unresolved; no resolver link, observed 2026-06-27T15:36:22.189521Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 69dc5842-ad0a-48c1-a099-d56cda559bb8 · outbound

This paper cites Modern aspects of Markov chains: entropy, curvature and the cutoff phenomenon.

Log-Sobolev under random monotone censoring Modern aspects of Markov chains: entropy, curvature and the cutoff phenomenon

Reference 29

Resolution: verified exact; arxiv_id, observed 2026-07-03T03:07:35.093350Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 44bb388d-32a2-4b85-bccd-8ac303814448 · outbound

This paper cites Lectures on finite M arkov chains.

Log-Sobolev under random monotone censoring Lectures on finite M arkov chains

Reference 30

Resolution: unresolved; no resolver link, observed 2026-06-27T15:36:22.189521Z

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Unavailable: canonical work link unavailable.

Observation 0de7e41f-122d-4069-a724-fcaef134eb76 · outbound

This paper cites Intrinsic regularity in the discrete log- S obolev inequality, 2025.

Log-Sobolev under random monotone censoring Intrinsic regularity in the discrete log- S obolev inequality, 2025

Reference 31

Resolution: unresolved; no resolver link, observed 2026-06-27T15:36:22.189521Z

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Pith citing papers

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