Paper Citation Record · LEDGER

Characterizing the limiting critical Potts measures on locally regular-tree-like expander graphs

As of 20 August 2026, this Paper Citation Record lists 34 of 34 outbound references and 0 inbound Pith citation observations for arXiv:2505.24283.

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

pith.paper-citation-record.v1
2505.24283 v1

Coverage vector

measured 34 of 34 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T12:39:02.958980Z

measured 34 of 34 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

34 of 34 outbound references displayed

verified exact3
verified fuzzy27
unresolved4
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 49ad8250-5cd3-402c-9bb5-2e03a3fd6d80 · outbound

This paper cites Thouless, and Phlip W.

Characterizing the limiting critical Potts measures on locally regular-tree-like expander graphs Thouless, and Phlip W

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:39:11.022920Z

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Observation c1aa5622-da95-4b9a-8da7-3d41a3272678 · outbound

This paper cites Random cluster model on regular graphs.

Characterizing the limiting critical Potts measures on locally regular-tree-like expander graphs Random cluster model on regular graphs

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:39:10.779254Z

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Observation a89c312a-ea94-42f0-8198-f2fdb954c648 · outbound

This paper cites Ferromagnetic Ising measures on large locally tree-like graphs.

Characterizing the limiting critical Potts measures on locally regular-tree-like expander graphs Ferromagnetic Ising measures on large locally tree-like graphs

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:39:10.590787Z

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Observation 2e4be111-cbb0-416d-a95f-bdfb8e2574ea · outbound

This paper cites Potts and random cluster measures on locally regular-tree-like graphs.

Characterizing the limiting critical Potts measures on locally regular-tree-like expander graphs Potts and random cluster measures on locally regular-tree-like graphs

Reference 4

Resolution: verified exact; local_arxiv, observed 2026-08-07T12:39:03.742622Z

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Observation 90279f86-8403-4b7d-a7fb-f93bde8cb19a · outbound

This paper cites A probabilistic proof of an asymptotic formula for the number of labelled regular graphs.

Characterizing the limiting critical Potts measures on locally regular-tree-like expander graphs A probabilistic proof of an asymptotic formula for the number of labelled regular graphs

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:39:10.369614Z

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.

Observation 98c539a2-1174-4776-918e-b8748cd4a8fd · outbound

This paper cites Critical behavior of the annealed Ising model on random regular graphs.

Characterizing the limiting critical Potts measures on locally regular-tree-like expander graphs Critical behavior of the annealed Ising model on random regular graphs

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:39:10.192044Z

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.

Observation c2f9f5c9-0382-467b-bc8d-ed54bea9c474 · outbound

This paper cites Annealed limit theorems for the Ising model on random regular graphs.

Characterizing the limiting critical Potts measures on locally regular-tree-like expander graphs Annealed limit theorems for the Ising model on random regular graphs

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:39:09.969134Z

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.

Observation 344466b6-39fa-4138-9e73-2e3804d41aff · outbound

This paper cites Bootstrap percolation on a bethe lattice.

Characterizing the limiting critical Potts measures on locally regular-tree-like expander graphs Bootstrap percolation on a bethe lattice

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:39:09.820473Z

Source-reported events for the cited work

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Observation 8a78c497-3c44-42af-9f24-eb63404348b8 · outbound

This paper cites Metastability of the Potts ferromagnet on random regular graphs.

Characterizing the limiting critical Potts measures on locally regular-tree-like expander graphs Metastability of the Potts ferromagnet on random regular graphs

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:39:09.615751Z

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.

Observation c7bc1e83-da23-4e4d-b009-ae7700c40db6 · outbound

This paper cites Random cluster models on random graphs.

Characterizing the limiting critical Potts measures on locally regular-tree-like expander graphs Random cluster models on random graphs

Reference 10

Resolution: verified exact; local_arxiv, observed 2026-08-07T12:39:03.425569Z

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.

Observation b0c90d22-d282-4749-a079-875a65e225bc · outbound

This paper cites Lectures on the Ising and Potts models on the hypercubic lattice.

Characterizing the limiting critical Potts measures on locally regular-tree-like expander graphs Lectures on the Ising and Potts models on the hypercubic lattice

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:39:09.375788Z

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.

Observation 7c696292-5824-44b5-8ecf-5a267342291f · outbound

This paper cites Ising critical exponents on random trees and graphs.

Characterizing the limiting critical Potts measures on locally regular-tree-like expander graphs Ising critical exponents on random trees and graphs

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:39:09.160185Z

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.

Observation ae7e73e3-241f-401d-80cd-fdd1c4da1c98 · outbound

This paper cites Gibbs measures and phase transitions on sparse random graphs.

Characterizing the limiting critical Potts measures on locally regular-tree-like expander graphs Gibbs measures and phase transitions on sparse random graphs

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:39:08.836046Z

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.

Observation 5c6b733c-1086-4535-b26f-4ca52f0a5bfe · outbound

This paper cites Ising models on locally tree-like graphs.

Characterizing the limiting critical Potts measures on locally regular-tree-like expander graphs Ising models on locally tree-like graphs

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:39:08.542105Z

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.

Observation a71d8557-0ea0-4555-a7e4-8f2363e30c34 · outbound

This paper cites Factor models on locally tree-like graphs.

Characterizing the limiting critical Potts measures on locally regular-tree-like expander graphs Factor models on locally tree-like graphs

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:39:08.188000Z

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.

Observation eb184791-8823-4e20-9070-b432bd7ecf8b · outbound

This paper cites The replica symmetric solution for Potts models on d-regular graphs.

Characterizing the limiting critical Potts measures on locally regular-tree-like expander graphs The replica symmetric solution for Potts models on d-regular graphs

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:39:07.921522Z

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.

Observation e5e738cb-6afb-4ba7-93c1-1e308758847e · outbound

This paper cites A Proof of Alon's Second Eigenvalue Conjecture and Related Problems , volume 195 of Memoirs of the American Mathematical Society.

Characterizing the limiting critical Potts measures on locally regular-tree-like expander graphs A Proof of Alon's Second Eigenvalue Conjecture and Related Problems , volume 195 of Memoirs of the American Mathematical Society

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:39:07.590549Z

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.

Observation 63fdd614-f9d3-4a5b-af9b-8cc96128f543 · outbound

This paper cites Annealed Potts models on rank-1 inhomogeneous random graphs.

Characterizing the limiting critical Potts measures on locally regular-tree-like expander graphs Annealed Potts models on rank-1 inhomogeneous random graphs

Reference 18

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Source-reported events for the cited work

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Observation b0d9b990-b0ad-407a-a76a-1b410ed3076c · outbound

This paper cites Grimmett.

Characterizing the limiting critical Potts measures on locally regular-tree-like expander graphs Grimmett

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:39:07.348249Z

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.

Observation 8adbaa87-8184-4eaa-815d-30d9e120e1df · outbound

This paper cites Rapid phase ordering for Ising and Potts dynamics on random regular graphs.

Characterizing the limiting critical Potts measures on locally regular-tree-like expander graphs Rapid phase ordering for Ising and Potts dynamics on random regular graphs

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-07T12:39:01.256067Z

Source-reported events for the cited work

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Observation c62ba266-44e1-46af-997e-b0ed571014bc · outbound

This paper cites Ferromagnetic Potts model: Refined \#bis-hardness and related results.

Characterizing the limiting critical Potts measures on locally regular-tree-like expander graphs Ferromagnetic Potts model: Refined \#bis-hardness and related results

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:39:07.072593Z

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.

Observation 1526c314-14a7-443e-a72a-d41ca14d7b6d · outbound

This paper cites Finite-size scaling, phase coexistence, and algorithms for the random cluster model on random graphs.

Characterizing the limiting critical Potts measures on locally regular-tree-like expander graphs Finite-size scaling, phase coexistence, and algorithms for the random cluster model on random graphs

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:39:06.782900Z

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.

Observation 26a51361-05b3-4a14-9d45-279f6b65d5c1 · outbound

This paper cites Random regular graphs: asymptotic distributions and contiguity.

Characterizing the limiting critical Potts measures on locally regular-tree-like expander graphs Random regular graphs: asymptotic distributions and contiguity

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:39:06.471009Z

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.

Observation b6c79996-3131-4caf-afbc-615aa1848912 · outbound

This paper cites Random graphs.

Characterizing the limiting critical Potts measures on locally regular-tree-like expander graphs Random graphs

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:39:06.148944Z

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.

Observation d929528a-1c7f-411a-89cb-a10faa9dffa9 · outbound

This paper cites Asymptotics in percolation on high-girth expanders.

Characterizing the limiting critical Potts measures on locally regular-tree-like expander graphs Asymptotics in percolation on high-girth expanders

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:39:05.884202Z

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.

Observation bfd44a13-2bbe-45c5-b4a0-46cd35d0ddb3 · outbound

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Characterizing the limiting critical Potts measures on locally regular-tree-like expander graphs Unresolved cited work

Reference 26

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:39:05.594214Z

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.

Observation 4995a9ae-4364-4bc6-b03b-f1a4249672ce · outbound

This paper cites Information, Physics, and Computation.

Characterizing the limiting critical Potts measures on locally regular-tree-like expander graphs Information, Physics, and Computation

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-07T12:39:02.223912Z

Source-reported events for the cited work

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Observation 59ae041d-5d89-4b15-a2c0-8d7e0be0098d · outbound

This paper cites The weak limit of Ising models on locally tree-like graphs.

Characterizing the limiting critical Potts measures on locally regular-tree-like expander graphs The weak limit of Ising models on locally tree-like graphs

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:39:05.376373Z

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.

Observation 3ed16935-fb60-44b4-909e-935a01a5b886 · outbound

This paper cites Typical sofic entropy and local limits for free group shift systems.

Characterizing the limiting critical Potts measures on locally regular-tree-like expander graphs Typical sofic entropy and local limits for free group shift systems

Reference 29

Resolution: verified exact; local_arxiv, observed 2026-08-07T12:39:03.190356Z

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.

Observation c5588099-f6a7-4d97-8b2a-7fa91bbc7ae1 · outbound

This paper cites Computational transition at the uniqueness threshold.

Characterizing the limiting critical Potts measures on locally regular-tree-like expander graphs Computational transition at the uniqueness threshold

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:39:05.149575Z

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.

Observation 2c8c05d3-350b-41ef-b68a-d0a033db5bf3 · outbound

This paper cites Counting in two-spin models on d-regular graphs.

Characterizing the limiting critical Potts measures on locally regular-tree-like expander graphs Counting in two-spin models on d-regular graphs

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:39:04.865362Z

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.

Observation a5d2a338-7035-498b-8ea6-a3f4fb62f961 · outbound

This paper cites Spin-glass on a Bethe lattice.

Characterizing the limiting critical Potts measures on locally regular-tree-like expander graphs Spin-glass on a Bethe lattice

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:39:04.563609Z

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.

Observation 6aca96b8-03a6-4bb9-9cb5-453b556451f3 · outbound

This paper cites Models of random regular graphs.

Characterizing the limiting critical Potts measures on locally regular-tree-like expander graphs Models of random regular graphs

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:39:04.287728Z

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.

Observation d2527895-8e26-4ce8-9087-edb50f1f7673 · outbound

This paper cites Ising model on locally tree-like graphs: Uniqueness of solutions to cavity equations.

Characterizing the limiting critical Potts measures on locally regular-tree-like expander graphs Ising model on locally tree-like graphs: Uniqueness of solutions to cavity equations

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:39:03.991413Z

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.

Pith citing papers

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