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Paper Citation Record · LEDGER

Critical Ising correlations on a torus

As of 8 August 2026, this Paper Citation Record lists 33 of 33 outbound references and 0 inbound Pith citation observations for arXiv:2506.11324.

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

pith.paper-citation-record.v1
2506.11324 v1

Coverage vector

measured 33 of 33 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T04:20:55.806355Z

measured 33 of 33 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

33 of 33 outbound references displayed

  • verified exact1
  • verified fuzzy6
  • unresolved26
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 51af70a4-dd0f-4046-9f40-15f7cdd472bf · outbound

This paper cites Dimers on Riemann surfaces and compactified free field.

Critical Ising correlations on a torus Dimers on Riemann surfaces and compactified free field

Reference 1

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Source-reported events for the cited work

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source=pdf_text observed=2026-08-07T04:20:55.633414Z digest=sha256:c0fcb68b9efb1c2bffda44a3ec99c864d595a39bf6bbac92a764660eb6d9f208

Observation 966db390-7ed9-4a21-bb59-d0b87553bd13 · outbound

This paper cites Bosonization of primary fields for the critical Ising model on multiply connected planar domains.

Critical Ising correlations on a torus Bosonization of primary fields for the critical Ising model on multiply connected planar domains

Reference 2

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source=pdf_text observed=2026-08-07T04:20:55.639662Z digest=sha256:0666af7a1efaa0faeb10b7b7d7fba7e036bb91df581403128175a50f2e96a3fd

Observation dee3d12f-4c6d-464b-a69f-faff030bfc70 · outbound

This paper cites and Zamolodchikov, Alexander B.

Critical Ising correlations on a torus and Zamolodchikov, Alexander B

Reference 3

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source=pdf_text observed=2026-08-07T04:20:55.645594Z digest=sha256:e62f8377ecfd63d977b0ea83983a9e57e917a196de1ce92ce51f9579d5285512

Observation 47d8e07b-c6f9-49ff-ac5b-25a2b24cb776 · outbound

This paper cites Conformal invariance of spin correlations in the planar Ising model.

Critical Ising correlations on a torus Conformal invariance of spin correlations in the planar Ising model

Reference 4

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source=pdf_text observed=2026-08-07T04:20:55.652130Z digest=sha256:6be0ad1b59d526f642b41740c376805586b1d652203b89e003731b857aa242e1

Observation 5049d7b2-1c4b-4e9f-8ba5-6b401e9a2145 · outbound

This paper cites Correlations of primary fields in the critical Ising model.

Critical Ising correlations on a torus Correlations of primary fields in the critical Ising model

Reference 5

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source=pdf_text observed=2026-08-07T04:20:55.657543Z digest=sha256:9e3db9660378d6a48c4cebabf831896d5dcbb382eec4d043b0e9d297eff23e0e

Observation 9146d40c-bf96-4971-8546-46e4a8adb33c · outbound

This paper cites an unresolved cited work.

Critical Ising correlations on a torus Unresolved cited work

Reference 6

Resolution
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raw_fallback, observed 2026-08-07T04:20:56.278745Z

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.

source=pdf_text observed=2026-08-07T04:20:55.664101Z digest=sha256:fceefd5183b2ee0ab0aa727586b70dee39a29cc646cfe3c64bc18c949b40d587

Observation 508e6489-46b6-4830-b276-bc63a47953ab · outbound

This paper cites A generalized Kac-Ward formula.

Critical Ising correlations on a torus A generalized Kac-Ward formula

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:20:56.262709Z

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.

source=pdf_text observed=2026-08-07T04:20:55.670164Z digest=sha256:73a0bd2b0183f81209020a634d4acffebc000007d22da4b20879954677b4766c

Observation 22fe7b15-7750-4422-935f-fc8c121a139b · outbound

This paper cites The critical Ising model via Kac–Ward matrices.

Critical Ising correlations on a torus The critical Ising model via Kac–Ward matrices

Reference 8

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raw_fallback, observed 2026-08-07T04:20:56.246577Z

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

source=pdf_text observed=2026-08-07T04:20:55.675335Z digest=sha256:952a9deb654aa5dc5d57bf9514801acf190199ee9309cae17934aa3a954caddc

Observation ee4ab503-5a58-4930-97ff-b9c9175e9e12 · outbound

This paper cites Graduate Texts in Contemporary Physics.

Critical Ising correlations on a torus Graduate Texts in Contemporary Physics

Reference 9

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source=pdf_text observed=2026-08-07T04:20:55.680764Z digest=sha256:cf63882852cd10c97f79e1e22d91b6c975c7dd0af90f0289fb62cacc385c737e

Observation 032e944b-6960-4c81-8a51-a05e95d51652 · outbound

This paper cites Saleur, and J.

Critical Ising correlations on a torus Saleur, and J

Reference 10

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source=pdf_text observed=2026-08-07T04:20:55.686789Z digest=sha256:c87b197f301cecd5de3587b0e963abd01ff303205a4302af12272bc5dd3076b6

Observation b64db390-e9df-41db-ab7f-6eae7c5ead61 · outbound

This paper cites https://dlmf.nist.gov/, Release 1.2.0 of 2024-03-.

Critical Ising correlations on a torus https://dlmf.nist.gov/, Release 1.2.0 of 2024-03-

Reference 11

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verified fuzzy
raw_fallback, observed 2026-08-07T04:20:56.208571Z

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

source=pdf_text observed=2026-08-07T04:20:55.691657Z digest=sha256:b9dd153ed84a7686445dccf2fd84b07bc53880ffde7639a77df3297ee9b719d6

Observation 9f611556-252c-4616-a6ee-61fc0b4cfe19 · outbound

This paper cites ”Dimers and families of Cauchy-Riemann operators I.” Journal of the American Mathematical Society 28.4 (2015): 1063-1167.

Critical Ising correlations on a torus ”Dimers and families of Cauchy-Riemann operators I.” Journal of the American Mathematical Society 28.4 (2015): 1063-1167

Reference 12

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source=pdf_text observed=2026-08-07T04:20:55.702347Z digest=sha256:4c9cae5f9c9893c4bb0c912cbf962745675adf8302d16f3cd760eb28391e1a50

Observation 96574587-826f-4bfd-9f76-444291e88b1c · outbound

This paper cites Exact bosonization of the Ising model.

Critical Ising correlations on a torus Exact bosonization of the Ising model

Reference 13

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source=pdf_text observed=2026-08-07T04:20:55.707102Z digest=sha256:78fd82a35ebf5a4fef7438ac7ef6dee31a2abb118ffe7a22f738cb24b822cf88

Observation 85eb9d4e-fb0a-4f43-ae3c-f37a584b605e · outbound

This paper cites ”On the double random current nesting field.” Probability Theory and Related Fields 175 (2019): 937-955.

Critical Ising correlations on a torus ”On the double random current nesting field.” Probability Theory and Related Fields 175 (2019): 937-955

Reference 14

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T04:20:55.712928Z digest=sha256:5bcfaf855473ef2ab5c3cde626f78853ba68ab083fa4d7b9df39e28fb575e707

Observation 041eec72-51a0-454d-b306-a4f5fac59937 · outbound

This paper cites an unresolved cited work.

Critical Ising correlations on a torus Unresolved cited work

Reference 15

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source=pdf_text observed=2026-08-07T04:20:55.696885Z digest=sha256:a46c0ff5494a5ad56ba88e78d21767f1acf4cacb674c8dd0b75fce5a45b7f3dc

Observation f040217c-d565-43e8-a1b7-e7b4d94398bd · outbound

This paper cites Theta functions on Riemann surfaces.

Critical Ising correlations on a torus Theta functions on Riemann surfaces

Reference 16

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source=pdf_text observed=2026-08-07T04:20:55.718092Z digest=sha256:89593216621ec1caef789766552aae5480fc2108eab3a0841413fc42c8a5e5f0

Observation 1b914e4e-be55-4c6d-8b1c-0482a50fe2b9 · outbound

This paper cites Ferdinand and Michael E.

Critical Ising correlations on a torus Ferdinand and Michael E

Reference 17

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verified fuzzy
raw_fallback, observed 2026-08-07T04:20:56.146868Z

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

source=pdf_text observed=2026-08-07T04:20:55.722717Z digest=sha256:cd49998343911a169d28598ccbaea088b99dd3efc258516d4ba8d4a25e2b6c10

Observation 6c49ee8c-bba4-4f51-b9c2-d2355aadfaa2 · outbound

This paper cites an unresolved cited work.

Critical Ising correlations on a torus Unresolved cited work

Reference 18

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no resolver link, observed 2026-08-07T04:20:55.728316Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T04:20:55.728316Z digest=sha256:17f0d53dffa6658c1aa88d0e8dd65637b9f0b95bccb46231fdc4946bd43f3e35

Observation 6058a19a-ef12-4af2-8e73-f06a2344abb7 · outbound

This paper cites Sparse reconstruction in spin systems II: Ising and other factor of IID measures.

Critical Ising correlations on a torus Sparse reconstruction in spin systems II: Ising and other factor of IID measures

Reference 19

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local_arxiv, observed 2026-08-07T04:20:55.859825Z

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

source=pdf_text observed=2026-08-07T04:20:55.733649Z digest=sha256:dc6665f4f390eff0c9848355af7fa093eef882caba328d81267b153d4810c35c

Observation 3cd4a406-91c9-46f8-b77a-0d20ad3b6b70 · outbound

This paper cites and Schiffer, M.

Critical Ising correlations on a torus and Schiffer, M

Reference 20

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source=pdf_text observed=2026-08-07T04:20:55.739217Z digest=sha256:e2985d7c773d5e2b9b3c40ca4a9607bbd93917794a7efdbf1990e8661c8d3b2b

Observation a5e79203-f847-4772-9c75-f53261b657f9 · outbound

This paper cites Theta functions, kernel functions, and Abelian integrals.

Critical Ising correlations on a torus Theta functions, kernel functions, and Abelian integrals

Reference 21

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source=pdf_text observed=2026-08-07T04:20:55.744309Z digest=sha256:ff0870123e0186403a304c326888b9d9f1e3fed2a389a58a6b354c1a6951ff0a

Observation 3355a640-2f4c-423f-b80a-82405a6a6f24 · outbound

This paper cites ”Conformal field theory at the lattice level: discrete complex analysis and Virasoro structure.” Communications in Mathematical Physics 395.1 (2022): 1-58.

Critical Ising correlations on a torus ”Conformal field theory at the lattice level: discrete complex analysis and Virasoro structure.” Communications in Mathematical Physics 395.1 (2022): 1-58

Reference 22

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T04:20:55.749175Z digest=sha256:f00863abe44c24c4ac3143b55b1883141c745605501256fb8a5d0d65f2e5ebec

Observation 331b90c8-385c-468d-80ee-1a151bbe54aa · outbound

This paper cites an unresolved cited work.

Critical Ising correlations on a torus Unresolved cited work

Reference 23

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

source=pdf_text observed=2026-08-07T04:20:55.754173Z digest=sha256:7e1106f81463a290cb5f222a089cf94715483b6ec8bdab5d9c35a4c5d1d454c5

Observation af4539af-fe98-4015-983a-86cb9e74a196 · outbound

This paper cites an unresolved cited work.

Critical Ising correlations on a torus Unresolved cited work

Reference 24

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

source=pdf_text observed=2026-08-07T04:20:55.759696Z digest=sha256:fdef19dc2feaee342454772d75c34e13126cea486f8345b4b6a8ab36b85e58e5

Observation 0e48d105-6c8c-42fe-ad9e-2d0b25ad8736 · outbound

This paper cites Spin structures and quadratic forms on surfaces.

Critical Ising correlations on a torus Spin structures and quadratic forms on surfaces

Reference 25

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source=pdf_text observed=2026-08-07T04:20:55.764282Z digest=sha256:e4973dfa1298246aed27a3eec0b7713de008b26e75c6cfbe400d3d433c2de348

Observation 91efd2a9-f234-46e8-8c17-04f5ac76f43d · outbound

This paper cites an unresolved cited work.

Critical Ising correlations on a torus Unresolved cited work

Reference 26

Resolution
unresolved
raw_fallback, observed 2026-08-07T04:20:56.044533Z

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

source=pdf_text observed=2026-08-07T04:20:55.769003Z digest=sha256:62b0d1e6acb8e537704699a0d3a26c2266adfde2588fa9b61e28d5ffae57fdce

Observation 8777fca6-fd59-4458-a3dc-9b2747d2db35 · outbound

This paper cites The two-dimensional Ising model.

Critical Ising correlations on a torus The two-dimensional Ising model

Reference 27

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no resolver link, observed 2026-08-07T04:20:55.774259Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T04:20:55.774259Z digest=sha256:d3b043ae63ad328d7a447f315361ae98946bd9a3c8becad49b74510ef88633a0

Observation 69759ab4-10a6-4da3-b720-967d855f8018 · outbound

This paper cites an unresolved cited work.

Critical Ising correlations on a torus Unresolved cited work

Reference 28

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no resolver link, observed 2026-08-07T04:20:55.780841Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T04:20:55.780841Z digest=sha256:4b7770ff7f977c24e4dde123c50ba1f72a18bf05ba21b764318d70904fafe6ee

Observation 5d2e2ffb-43c6-4a92-bf10-0a9b5690147e · outbound

This paper cites Planar Ising Correlations.

Critical Ising correlations on a torus Planar Ising Correlations

Reference 29

Resolution
unresolved
no resolver link, observed 2026-08-07T04:20:55.786077Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T04:20:55.786077Z digest=sha256:561a3a837f203a9941e23a6cf51a994a6d577ba47cb579ef2645cbd70618010e

Observation b9aeefcb-6461-49fd-ae79-1093982bb646 · outbound

This paper cites Exact finite-size-scaling corrections to the critical two-dimensional Ising model on a torus.

Critical Ising correlations on a torus Exact finite-size-scaling corrections to the critical two-dimensional Ising model on a torus

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:20:55.996627Z

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.

source=pdf_text observed=2026-08-07T04:20:55.790967Z digest=sha256:f39b6dbb2d7cdd0fe67c9159d1bff079d0ab9ca5627d56bbed965078abe4359c

Observation e10b6970-888b-4807-b341-bda78ee7fc1c · outbound

This paper cites an unresolved cited work.

Critical Ising correlations on a torus Unresolved cited work

Reference 31

Resolution
unresolved
raw_fallback, observed 2026-08-07T04:20:55.979913Z

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.

source=pdf_text observed=2026-08-07T04:20:55.796122Z digest=sha256:802f2da4546864922f38b3d01da8031732d01f1fbc5e3f22c861f3ba575ed1b0

Observation 93e5afc0-3b65-4aef-ae04-17883b2771f4 · outbound

This paper cites Precise variational formulas for abelian differentials.

Critical Ising correlations on a torus Precise variational formulas for abelian differentials

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:20:55.961858Z

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.

source=pdf_text observed=2026-08-07T04:20:55.800789Z digest=sha256:dde26766f6a31302ab1dc87880b2f13f0cce1e3a25f327c8ce21cdd787497c3c

Observation 035b68de-dce9-4e9b-931f-c422af8973df · outbound

This paper cites an unresolved cited work.

Critical Ising correlations on a torus Unresolved cited work

Reference 33

Resolution
unresolved
no resolver link, observed 2026-08-07T04:20:55.806355Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T04:20:55.806355Z digest=sha256:37256b9e7094a8d42c8b63563e815c43947f866c20c137fb8f2d6c1ac908e3b6

Pith citing papers

No inbound Pith citation observations are available.