Paper Citation Record · LEDGER

A Cluster Expansion and the Decay of Correlations of the 1D Long-Range Ising Model at Low Temperatures

As of 12 August 2026, this Paper Citation Record lists 40 of 40 outbound references and 0 inbound Pith citation observations for arXiv:2602.12447.

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

pith.paper-citation-record.v1
2602.12447 v3

Coverage vector

measured 40 of 40 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-02T23:56:43.306027Z

measured 40 of 40 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 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

40 of 40 outbound references displayed

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verified fuzzy0
unresolved40
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malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 18a58b0b-8808-4775-a94e-a7f037596e1e · outbound

This paper cites Multidimensional Contours \`a la Fr\"{o}hlich-Spencer and Boundary Conditions for Quantum Spin Systems.

A Cluster Expansion and the Decay of Correlations of the 1D Long-Range Ising Model at Low Temperatures Multidimensional Contours \`a la Fr\"{o}hlich-Spencer and Boundary Conditions for Quantum Spin Systems

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-02T23:55:49.627528Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 00aa8cb6-e5b2-4772-afc9-fd3e438a3e4c · outbound

This paper cites Phase Transitions on 1d Long-Range Ising Models with Decaying Fields: A Direct Proof via Contours.

A Cluster Expansion and the Decay of Correlations of the 1D Long-Range Ising Model at Low Temperatures Phase Transitions on 1d Long-Range Ising Models with Decaying Fields: A Direct Proof via Contours

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-02T23:55:49.755282Z

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Observation a992c3b0-127e-4c7b-bbf7-44c4546a662d · outbound

This paper cites Affonso, R.

A Cluster Expansion and the Decay of Correlations of the 1D Long-Range Ising Model at Low Temperatures Affonso, R

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-02T23:56:39.228585Z

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Observation c8a49e2a-a6b0-4d19-8135-c835d4e02a0f · outbound

This paper cites Phase Transition in Long-Range $q-$state Models via Contours. Clock and Potts Models with Fields.

A Cluster Expansion and the Decay of Correlations of the 1D Long-Range Ising Model at Low Temperatures Phase Transition in Long-Range $q-$state Models via Contours. Clock and Potts Models with Fields

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-02T23:56:39.315943Z

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Observation 503e34c8-3fbe-4e45-bd12-b782ca1d48d6 · outbound

This paper cites Phase Transitions in Multidimensional Long-Range Random Field Ising Models.

A Cluster Expansion and the Decay of Correlations of the 1D Long-Range Ising Model at Low Temperatures Phase Transitions in Multidimensional Long-Range Random Field Ising Models

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-02T23:56:39.549065Z

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Unavailable: canonical work link unavailable.

Observation 91db6e54-3e51-4fb1-9354-981fb9515966 · outbound

This paper cites Cluster Expansion and Decay of Correlations for Multidimensional Long-Range Ising Models.

A Cluster Expansion and the Decay of Correlations of the 1D Long-Range Ising Model at Low Temperatures Cluster Expansion and Decay of Correlations for Multidimensional Long-Range Ising Models

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-02T23:56:39.720724Z

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Unavailable: canonical work link unavailable.

Observation 4f288e52-1905-4b92-a1b3-b47d3bee761d · outbound

This paper cites Aizenman, J.

A Cluster Expansion and the Decay of Correlations of the 1D Long-Range Ising Model at Low Temperatures Aizenman, J

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-02T23:56:39.894269Z

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Observation 0fc0e8c8-d973-45ad-b1b9-917517d89c24 · outbound

This paper cites Bissacot, E.

A Cluster Expansion and the Decay of Correlations of the 1D Long-Range Ising Model at Low Temperatures Bissacot, E

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-02T23:56:40.057631Z

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Observation bd344221-f2fb-4ef1-a94d-7afc9f458b30 · outbound

This paper cites Bissacot, R.

A Cluster Expansion and the Decay of Correlations of the 1D Long-Range Ising Model at Low Temperatures Bissacot, R

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-02T23:56:40.223681Z

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Observation 48c39c3f-90be-4d7e-8c8c-08f1e22576df · outbound

This paper cites Bricmont, J.

A Cluster Expansion and the Decay of Correlations of the 1D Long-Range Ising Model at Low Temperatures Bricmont, J

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-02T23:56:40.335440Z

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Observation 78e91ab0-4a4d-4481-98a5-460539c29065 · outbound

This paper cites Burkov and Y.

A Cluster Expansion and the Decay of Correlations of the 1D Long-Range Ising Model at Low Temperatures Burkov and Y

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-02T23:56:40.507562Z

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Observation 4e4dc964-5e2f-4ea1-a8d8-569d395b802b · outbound

This paper cites Cassandro, P.

A Cluster Expansion and the Decay of Correlations of the 1D Long-Range Ising Model at Low Temperatures Cassandro, P

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-02T23:56:40.674067Z

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Observation 28c6271d-e027-4747-9c22-c4fd8f5acfc7 · outbound

This paper cites Cassandro, I.

A Cluster Expansion and the Decay of Correlations of the 1D Long-Range Ising Model at Low Temperatures Cassandro, I

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-02T23:56:40.834200Z

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Observation 2b034a8f-a1c2-4cb9-a742-ae20906f389a · outbound

This paper cites an unresolved cited work.

A Cluster Expansion and the Decay of Correlations of the 1D Long-Range Ising Model at Low Temperatures Unresolved cited work

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-02T23:56:40.998898Z

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Observation 51f57507-274b-4855-92e3-5706f5ecc047 · outbound

This paper cites Cassandro, E.

A Cluster Expansion and the Decay of Correlations of the 1D Long-Range Ising Model at Low Temperatures Cassandro, E

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-02T23:56:41.161321Z

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Observation bc95ca5d-bac5-47ba-8b0c-b9d4bae754ca · outbound

This paper cites Phase transitions in low-dimensional long-range random field Ising models.

A Cluster Expansion and the Decay of Correlations of the 1D Long-Range Ising Model at Low Temperatures Phase transitions in low-dimensional long-range random field Ising models

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-02T23:56:41.328972Z

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Observation 59dbd589-8f5c-4d7a-894a-45ee15bc3c29 · outbound

This paper cites an unresolved cited work.

A Cluster Expansion and the Decay of Correlations of the 1D Long-Range Ising Model at Low Temperatures Unresolved cited work

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-02T23:56:41.433214Z

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Observation dfc1adcc-2eb8-4ab8-80e1-f1a9c376154c · outbound

This paper cites an unresolved cited work.

A Cluster Expansion and the Decay of Correlations of the 1D Long-Range Ising Model at Low Temperatures Unresolved cited work

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-02T23:56:41.514281Z

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Observation 81e7fa97-d280-4864-9218-31e3e444b8bd · outbound

This paper cites an unresolved cited work.

A Cluster Expansion and the Decay of Correlations of the 1D Long-Range Ising Model at Low Temperatures Unresolved cited work

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-02T23:56:41.569930Z

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Observation 82464b89-fbd0-4a82-9dee-9afe43e16609 · outbound

This paper cites an unresolved cited work.

A Cluster Expansion and the Decay of Correlations of the 1D Long-Range Ising Model at Low Temperatures Unresolved cited work

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-02T23:56:41.642739Z

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Unavailable: canonical work link unavailable.

Observation d12a3dfb-500f-4370-bb16-80737906b9b8 · outbound

This paper cites Fannes, P.

A Cluster Expansion and the Decay of Correlations of the 1D Long-Range Ising Model at Low Temperatures Fannes, P

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-02T23:56:41.754075Z

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Observation 16570276-b7ba-4a2f-a6c4-0ce9b2ae4af9 · outbound

This paper cites Fernández and A.

A Cluster Expansion and the Decay of Correlations of the 1D Long-Range Ising Model at Low Temperatures Fernández and A

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-02T23:56:41.827389Z

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Observation 377e13f7-f298-4fd9-81fa-285a77df270e · outbound

This paper cites Fröhlich and T.

A Cluster Expansion and the Decay of Correlations of the 1D Long-Range Ising Model at Low Temperatures Fröhlich and T

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-02T23:56:41.901264Z

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Observation 1e6356f8-d7e2-438b-82d7-56fb3d925884 · outbound

This paper cites Fröhlich and T.

A Cluster Expansion and the Decay of Correlations of the 1D Long-Range Ising Model at Low Temperatures Fröhlich and T

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-02T23:56:41.975298Z

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Unavailable: canonical work link unavailable.

Observation 07c245b5-af5e-4ee4-8a81-87d467b7d2a9 · outbound

This paper cites Gallavotti and S.

A Cluster Expansion and the Decay of Correlations of the 1D Long-Range Ising Model at Low Temperatures Gallavotti and S

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-02T23:56:42.049527Z

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Observation a084cf68-305c-467d-b542-ac07fc615193 · outbound

This paper cites Iagolnitzer and B.

A Cluster Expansion and the Decay of Correlations of the 1D Long-Range Ising Model at Low Temperatures Iagolnitzer and B

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-02T23:56:42.138627Z

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Observation bc4e3577-6186-4978-a966-3bffb138db1b · outbound

This paper cites an unresolved cited work.

A Cluster Expansion and the Decay of Correlations of the 1D Long-Range Ising Model at Low Temperatures Unresolved cited work

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-02T23:56:42.197483Z

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Observation 5d683a25-b5fb-4b9d-b731-1e2097a3fb49 · outbound

This paper cites an unresolved cited work.

A Cluster Expansion and the Decay of Correlations of the 1D Long-Range Ising Model at Low Temperatures Unresolved cited work

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-02T23:56:42.272114Z

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Observation 03870a41-dacf-4754-9a2f-ab2101e70151 · outbound

This paper cites Jansen and L.

A Cluster Expansion and the Decay of Correlations of the 1D Long-Range Ising Model at Low Temperatures Jansen and L

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-02T23:56:42.355161Z

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Observation 24884517-553c-4986-9730-a8119df9aab2 · outbound

This paper cites Kotecký and D.

A Cluster Expansion and the Decay of Correlations of the 1D Long-Range Ising Model at Low Temperatures Kotecký and D

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-02T23:56:42.421047Z

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Observation 1a434c78-6669-4b01-abe5-2304b0b358bf · outbound

This paper cites Littin and P.

A Cluster Expansion and the Decay of Correlations of the 1D Long-Range Ising Model at Low Temperatures Littin and P

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-02T23:56:42.535175Z

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Observation d77bbc01-1625-4ce8-8639-5093190b12d9 · outbound

This paper cites Phase Transitions in Ising models: the Semi-infinite with decaying field and the Random Field Long-range.

A Cluster Expansion and the Decay of Correlations of the 1D Long-Range Ising Model at Low Temperatures Phase Transitions in Ising models: the Semi-infinite with decaying field and the Random Field Long-range

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-02T23:56:42.609884Z

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Unavailable: canonical work link unavailable.

Observation 32b34f13-721e-44c7-83fb-713ce64b805c · outbound

This paper cites an unresolved cited work.

A Cluster Expansion and the Decay of Correlations of the 1D Long-Range Ising Model at Low Temperatures Unresolved cited work

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-02T23:56:42.679712Z

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Unavailable: canonical work link unavailable.

Observation 38556011-8f5f-4345-bb1b-00543d613b1b · outbound

This paper cites an unresolved cited work.

A Cluster Expansion and the Decay of Correlations of the 1D Long-Range Ising Model at Low Temperatures Unresolved cited work

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-02T23:56:42.756516Z

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Observation 398e08f7-3d2e-48dc-9074-4308983d90ed · outbound

This paper cites Cluster expansion methods in rigorous statistical mechanics.

A Cluster Expansion and the Decay of Correlations of the 1D Long-Range Ising Model at Low Temperatures Cluster expansion methods in rigorous statistical mechanics

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-02T23:56:42.863892Z

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Observation e07a7646-af13-4302-abda-52445118a0c8 · outbound

This paper cites an unresolved cited work.

A Cluster Expansion and the Decay of Correlations of the 1D Long-Range Ising Model at Low Temperatures Unresolved cited work

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-02T23:56:42.938891Z

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Observation 1c7f1bce-940d-40b0-988d-6dd81c64ce5a · outbound

This paper cites an unresolved cited work.

A Cluster Expansion and the Decay of Correlations of the 1D Long-Range Ising Model at Low Temperatures Unresolved cited work

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-02T23:56:43.011750Z

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Observation 3a38ae36-4759-4e93-9a34-be20d593713a · outbound

This paper cites an unresolved cited work.

A Cluster Expansion and the Decay of Correlations of the 1D Long-Range Ising Model at Low Temperatures Unresolved cited work

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-02T23:56:43.087398Z

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Unavailable: canonical work link unavailable.

Observation cac256cd-2a65-45c3-8c29-959951d789e0 · outbound

This paper cites an unresolved cited work.

A Cluster Expansion and the Decay of Correlations of the 1D Long-Range Ising Model at Low Temperatures Unresolved cited work

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-02T23:56:43.240830Z

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Observation ce679908-fc35-46f1-bdae-455a5773fff7 · outbound

This paper cites an unresolved cited work.

A Cluster Expansion and the Decay of Correlations of the 1D Long-Range Ising Model at Low Temperatures Unresolved cited work

Reference 40

Resolution: unresolved; no resolver link, observed 2026-08-02T23:56:43.306027Z

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Pith citing papers

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