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Paper Citation Record · LEDGER

Critical Ising correlations on a torus

As of 20 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 2026-08-20T06:33:59.587034+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=pdf_text observed=2026-08-07T04:20:55.633414Z digest=sha256:4c17434c7a03d40736e5545e9f747d3262083d0d032b1a7af44249c72f2f9181

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=sha256:8d896d26304d8ff8a511259643decade642edcdf40dc8b7d27aaff3b8b3e7aa7

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=sha256:520087854aa1e453a72906176756df3b94dd71df2144a56c461dd755d87200e0

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:e5b7d1dc3203c269733dfbee3524771ddfe77a7c2682313ad1f0c62768a7ffbe

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=sha256:8ad469855402d60407631009a1fee9e1e85deaaa57cacb352de0321d12ef1b20

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

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T04:20:55.664101Z digest=sha256:2455e5abd4ca2921914bc8b1aa55aaee0f3be9faf0185996f6bdf043dadffddc

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T04:20:55.670164Z digest=sha256:3e5a513c9e134e551fc2b0250b2cf6665c1ee32602ce1028922990d86c04aa16

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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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T04:20:55.675335Z digest=sha256:e233437b6178cf779c95b2671d219fea67f0f30947bfe8b6b5dd4c46e3d41bdf

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:f0a0976cd7672145ffc78ff9ae3b27be83c8bc1bcd8942d69154ec8e578f739c

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:acf86e3014625dcdace0b5c1703a4f0bb9d93d32541a85918049c82abadf5ea8

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
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T04:20:55.691657Z digest=sha256:33f803e85ae97d2ccff7c3d60986564dc46ae7cd365a8eaafee1bd9799b3471f

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=sha256:6963caf4a86f1fd3b5c4bef1fbda87775bc57373b39811f51093ba85cce4c14d

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:cd0387be9689a27f1f9394591474b5424bd3ac12fff604c5249fd4e59daf025f

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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source=pdf_text observed=2026-08-07T04:20:55.712928Z digest=sha256:ef3cdcfdabfab2007281424b7eaf5da7abc5b3a5ee67986f7881fc1f56aea267

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:ea6368ba6f49e049ffce7f131c1d36a73c0c6add48ec205d8d4505f570a9be44

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=sha256:7f97638f0bbbe646192c6e5c7f23577c739779664e112c6e59ce744cf82d7232

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T04:20:55.722717Z digest=sha256:d6492b54e7a9d70cf4d3c823f2df620fc4f9616b11f57d64190e976aa978b7de

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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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T04:20:55.728316Z digest=sha256:4f058f7319b2e8e9a794e013f540430f34184a95c5a42cfda172b35551b6c7ad

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T04:20:55.733649Z digest=sha256:dbc7c83ffe852bcb004dde1dbb921515793c1777b7fdb6fce963801247fda496

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=sha256:133160fd51d5d8ea8de904341fcca4f507aeb0a4a8c2e460b6879f6b4add6d30

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=sha256:85d18e1b1cbd8aefbb5764887eb8dde923949f97066a35adfcc6208f70fe9efb

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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source=pdf_text observed=2026-08-07T04:20:55.749175Z digest=sha256:24ba428c04d1c24a345adfca25d08793b44fd6b6425c474cba910d92e3b8ebce

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 2026-08-20T06:33:59.587034+00:00.

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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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T04:20:55.759696Z digest=sha256:7f20bdc9284a408a718f06920cb1bd4acdb703eca527e078f663178c3b5fa58a

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:bea1dace8f818f2be4baf08dcde208af9785cbc0d895b249ee21eb170acb45d0

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

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

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T04:20:55.769003Z digest=sha256:6699486c90e2eecf8ad9f6f7ecf32e129c75b74962b5b6f833f1e338f1b8c7c5

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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source=pdf_text observed=2026-08-07T04:20:55.774259Z digest=sha256:8a1e33dfb9df121c1e634c808a890ad5d6ceedc267f88ef099d77d06a99190b1

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=sha256:6b91508d196627e5fcbb92175a9218f8a0751af05529cf6d1c2894e4ad134ca2

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:ad27bf51e2a888f1439ba2310a756d55b89416c1fcc8414d970c989819c51599

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T04:20:55.790967Z digest=sha256:550465a1e71df056be1f34c0682d15b758c6cb9e3255fc91dd488157cd8963c9

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T04:20:55.796122Z digest=sha256:a245b4b1a97552de68ac326a5f39f07b08992cbb69a49543168eaf4a3efb3259

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

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

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T04:20:55.800789Z digest=sha256:60fa9eab7281bdb943a421fb3112b9cb6ed8cd05208c104ea734ead0d6bb378f

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=sha256:4a3e63ee6b20c1d1c1abe6c7bfe768d0114bec7b60fc191b5bebd06401ca1141

Pith citing papers

No inbound Pith citation observations are available.