Paper Citation Record · LEDGER

Sampling from the Hardcore Model on Random Regular Bipartite Graphs above the Uniqueness Threshold

As of 12 August 2026, this Paper Citation Record lists 20 of 20 outbound references and 2 inbound Pith citation observations for arXiv:2604.21847.

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

pith.paper-citation-record.v1
2604.21847 v1

Coverage vector

measured 20 of 20 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-09T20:03:59.609516Z

measured 22 of 22 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 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-05T11:27:08.451676Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-05T11:27:08.518592Z

Reference resolution

20 of 20 outbound references displayed

verified exact1
verified fuzzy19
unresolved0
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation f4787c2d-3880-4c2c-a599-5eba788ac429 · outbound

This paper cites Entropic independence: optimal mixing of down-up random walks.

Sampling from the Hardcore Model on Random Regular Bipartite Graphs above the Uniqueness Threshold Entropic independence: optimal mixing of down-up random walks

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T14:36:14.438937Z

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 afc578b2-986b-4aac-8b2b-51ee6c189718 · outbound

This paper cites Trickle-Down in Localization Schemes and Applications.

Sampling from the Hardcore Model on Random Regular Bipartite Graphs above the Uniqueness Threshold Trickle-Down in Localization Schemes and Applications

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T14:36:14.467688Z

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 218bd67a-e921-4c9e-91df-6b24f514050b · outbound

This paper cites Improved analysis of higher order random walks and applications.

Sampling from the Hardcore Model on Random Regular Bipartite Graphs above the Uniqueness Threshold Improved analysis of higher order random walks and applications

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T14:36:14.470909Z

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 3a06bfc7-3ea1-4822-a8b5-025f15f29ec8 · outbound

This paper cites Spectral Independence in High- Dimensional Expanders and Applications to the Hardcore Model.

Sampling from the Hardcore Model on Random Regular Bipartite Graphs above the Uniqueness Threshold Spectral Independence in High- Dimensional Expanders and Applications to the Hardcore Model

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T14:36:14.474293Z

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 13b430af-f31f-4802-9532-0b3ffa112117 · outbound

This paper cites On mixing of markov chains: Coupling, spectral independence, and entropy factorization.

Sampling from the Hardcore Model on Random Regular Bipartite Graphs above the Uniqueness Threshold On mixing of markov chains: Coupling, spectral independence, and entropy factorization

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T14:36:14.457496Z

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 17de5130-ea41-4196-8558-62362bb7dc96 · outbound

This paper cites Rapid mixing on random regular graphs beyond uniqueness.

Sampling from the Hardcore Model on Random Regular Bipartite Graphs above the Uniqueness Threshold Rapid mixing on random regular graphs beyond uniqueness

Reference 6

Resolution: verified exact; arxiv_id, observed 2026-05-11T15:26:08.365284Z

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 5a4e0400-608f-4cc9-9cec-eaa4e15dcf5d · outbound

This paper cites Rapid Mixing at the Uniqueness Threshold.

Sampling from the Hardcore Model on Random Regular Bipartite Graphs above the Uniqueness Threshold Rapid Mixing at the Uniqueness Threshold

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T14:36:14.461235Z

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 02ee5359-6885-4306-a155-30c03ce5bdc2 · outbound

This paper cites Localization Schemes: A Framework for Proving Mixing Bounds for Markov Chains (extended abstract).

Sampling from the Hardcore Model on Random Regular Bipartite Graphs above the Uniqueness Threshold Localization Schemes: A Framework for Proving Mixing Bounds for Markov Chains (extended abstract)

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T14:36:14.441617Z

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 e8b3e9c7-038c-4c84-a9e6-ea78891d34de · outbound

This paper cites Rapid mixing of Glauber dynamics via spectral independence for all degrees.

Sampling from the Hardcore Model on Random Regular Bipartite Graphs above the Uniqueness Threshold Rapid mixing of Glauber dynamics via spectral independence for all degrees

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T14:36:14.447498Z

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 dd0dc691-1779-4474-9037-0b611e9740c0 · outbound

This paper cites Rapid Mixing of Glauber Dynamics up to Uniqueness via Contraction.

Sampling from the Hardcore Model on Random Regular Bipartite Graphs above the Uniqueness Threshold Rapid Mixing of Glauber Dynamics up to Uniqueness via Contraction

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T14:36:14.464336Z

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 59d39027-6d83-4cd8-8c1c-e770064e9b15 · outbound

This paper cites Optimal mixing of Glauber dynamics: entropy factorization via high-dimensional expansion.

Sampling from the Hardcore Model on Random Regular Bipartite Graphs above the Uniqueness Threshold Optimal mixing of Glauber dynamics: entropy factorization via high-dimensional expansion

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T14:36:14.477374Z

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 2f72f99b-e86e-4ae0-b765-85c24252c01d · outbound

This paper cites Dyer, Alan M.

Sampling from the Hardcore Model on Random Regular Bipartite Graphs above the Uniqueness Threshold Dyer, Alan M

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T14:36:14.451156Z

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 764aa6de-8c6c-40d0-82fb-d4e05d180438 · outbound

This paper cites Dyer, Leslie Ann Goldberg, Catherine S.

Sampling from the Hardcore Model on Random Regular Bipartite Graphs above the Uniqueness Threshold Dyer, Leslie Ann Goldberg, Catherine S

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T14:36:14.448616Z

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 7f11d456-c8eb-42aa-89fe-bc9ae1b17324 · outbound

This paper cites High Dimensional Expanders Imply Agreement Ex- panders.

Sampling from the Hardcore Model on Random Regular Bipartite Graphs above the Uniqueness Threshold High Dimensional Expanders Imply Agreement Ex- panders

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T14:36:14.435921Z

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 773e09b0-b2a4-40ff-85f1-868cc9255585 · outbound

This paper cites Approximately Counting Independent Sets of a Given Size in Bounded-Degree Graphs.

Sampling from the Hardcore Model on Random Regular Bipartite Graphs above the Uniqueness Threshold Approximately Counting Independent Sets of a Given Size in Bounded-Degree Graphs

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T14:36:14.425887Z

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 7341d1dd-fc4d-4825-b411-186959f139ef · outbound

This paper cites A proof of Alon’s second eigenvalue conjecture.

Sampling from the Hardcore Model on Random Regular Bipartite Graphs above the Uniqueness Threshold A proof of Alon’s second eigenvalue conjecture

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T14:36:14.454112Z

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 3c4f924a-9fa8-4a40-a220-2e6b0d81c544 · outbound

This paper cites Optimal mixing of the down-up walk on independent sets of a given size.

Sampling from the Hardcore Model on Random Regular Bipartite Graphs above the Uniqueness Threshold Optimal mixing of the down-up walk on independent sets of a given size

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T14:36:14.453923Z

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 93e5e3b8-daa7-4be5-8e08-3ac7c4aee517 · outbound

This paper cites On the Power of Unique 2-Prover 1-Round Games.

Sampling from the Hardcore Model on Random Regular Bipartite Graphs above the Uniqueness Threshold On the Power of Unique 2-Prover 1-Round Games

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T14:36:14.429136Z

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 9aaf27fc-424e-4cd5-baa8-66b041b8e9b5 · outbound

This paper cites Computational Transition at the Uniqueness Threshold.

Sampling from the Hardcore Model on Random Regular Bipartite Graphs above the Uniqueness Threshold Computational Transition at the Uniqueness Threshold

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T14:36:14.442676Z

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 3530b525-92ad-4112-ae77-5324eae25b78 · outbound

This paper cites The Computational Hardness of Counting in Two-Spin Models on d-Regular Graphs.

Sampling from the Hardcore Model on Random Regular Bipartite Graphs above the Uniqueness Threshold The Computational Hardness of Counting in Two-Spin Models on d-Regular Graphs

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T14:36:14.415899Z

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.

Pith citing papers

Observation b502faf7-bb9e-4d0b-aed9-e16c7fc024cc · inbound

Computational Thresholds for Balanced and Fixed-Slice Independent Sets in Bipartite Graphs cites this paper.

Computational Thresholds for Balanced and Fixed-Slice Independent Sets in Bipartite Graphs Sampling from the Hardcore Model on Random Regular Bipartite Graphs above the Uniqueness Threshold

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-04T06:11:59.592858Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4f0de50c-d46d-420a-9bf5-e6eef3d2efac · 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 Sampling from the Hardcore Model on Random Regular Bipartite Graphs above the Uniqueness Threshold

Reference 27

Resolution: verified exact; local_arxiv, observed 2026-08-05T11:27:08.521968Z

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.