Paper Citation Record · LEDGER

Entropic Independence I: Modified Log-Sobolev Inequalities for Fractionally Log-Concave Distributions and High-Temperature Ising Models

As of 12 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 9 inbound Pith citation observations for arXiv:2106.04105.

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

pith.paper-citation-record.v1
2106.04105 v2

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 9 of 9 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00

measured 9 of 9 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T21:54:42.607427Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-04T18:50:04.927453Z

Reference resolution

0 of 0 outbound references displayed

verified exact0
verified fuzzy0
unresolved0
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation f635addc-875c-471f-9381-92b3b4272752 · inbound

Sampling and Identity-Testing Without Approximate Tensorization of Entropy cites this paper.

Sampling and Identity-Testing Without Approximate Tensorization of Entropy Entropic Independence I: Modified Log-Sobolev Inequalities for Fractionally Log-Concave Distributions and High-Temperature Ising Models

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-06T21:54:42.607427Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 30326011-a2bc-43ec-be21-68fe8df555a8 · inbound

Edge-Tilting Field Dynamics: Rapid Mixing at the Uniqueness Threshold and Optimal Mixing for Swendsen-Wang Dynamics cites this paper.

Edge-Tilting Field Dynamics: Rapid Mixing at the Uniqueness Threshold and Optimal Mixing for Swendsen-Wang Dynamics Entropic Independence I: Modified Log-Sobolev Inequalities for Fractionally Log-Concave Distributions and High-Temperature Ising Models

Reference 1

Resolution: verified exact; arxiv_id, observed 2026-05-11T09:11:12.216031Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 5a8ddc80-69a8-4bf8-a121-f89d5eb22a4e · inbound

Entropic independence via sparse localization cites this paper.

Entropic independence via sparse localization Entropic Independence I: Modified Log-Sobolev Inequalities for Fractionally Log-Concave Distributions and High-Temperature Ising Models

Reference 1

Resolution: verified exact; arxiv_id, observed 2026-05-11T09:05:57.790810Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 3968db7c-fb00-4f08-aefd-1d3011fdb8d1 · inbound

Glauber dynamics for random field Ising models on bounded degree graphs and MLSI cites this paper.

Glauber dynamics for random field Ising models on bounded degree graphs and MLSI Entropic Independence I: Modified Log-Sobolev Inequalities for Fractionally Log-Concave Distributions and High-Temperature Ising Models

Reference 2

Resolution: verified exact; arxiv_id, observed 2026-05-09T05:45:22.475423Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation d45eb5e9-90b3-48b2-9228-3a4d935e5328 · inbound

Lower bound on the mixing time of $p$-spin glasses cites this paper.

Lower bound on the mixing time of $p$-spin glasses Entropic Independence I: Modified Log-Sobolev Inequalities for Fractionally Log-Concave Distributions and High-Temperature Ising Models

Reference 2

Resolution: verified exact; arxiv_id, observed 2026-06-30T20:35:02.531438Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 9a4c69c3-47cb-4ee4-88f6-3ddbc3797221 · inbound

A Near-Optimal Parallel Algorithm for Finding Matroid Bases cites this paper.

A Near-Optimal Parallel Algorithm for Finding Matroid Bases Entropic Independence I: Modified Log-Sobolev Inequalities for Fractionally Log-Concave Distributions and High-Temperature Ising Models

Reference 137

Resolution: metadata mismatch; arxiv_id, observed 2026-07-04T18:50:04.928990Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 4df7df40-0835-479b-9510-b1a7aaed6196 · inbound

G{\aa}rding's Theorem for Posynomials cites this paper.

G{\aa}rding's Theorem for Posynomials Entropic Independence I: Modified Log-Sobolev Inequalities for Fractionally Log-Concave Distributions and High-Temperature Ising Models

Reference 10

Resolution: unresolved; no resolver link, observed 2026-07-13T04:57:16.980949Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ed80054d-aa94-4c6a-ba58-b20332b2121d · inbound

G{\aa}rding's Theorem for Posynomials cites this paper.

G{\aa}rding's Theorem for Posynomials Entropic Independence I: Modified Log-Sobolev Inequalities for Fractionally Log-Concave Distributions and High-Temperature Ising Models

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-02T07:52:29.454762Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7f6dd92b-d6f7-4393-94a1-4be79bfe6069 · inbound

The Hard-Core Model on Bipartite Spectral Expanders: Counting and Sampling at All Fugacities cites this paper.

The Hard-Core Model on Bipartite Spectral Expanders: Counting and Sampling at All Fugacities Entropic Independence I: Modified Log-Sobolev Inequalities for Fractionally Log-Concave Distributions and High-Temperature Ising Models

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-05T11:27:08.379865Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.