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Paper Citation Record · LEDGER

Origins of the Ising model

As of 20 August 2026, this Paper Citation Record lists 35 of 35 outbound references and 0 inbound Pith citation observations for arXiv:2509.00632.

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

pith.paper-citation-record.v1
2509.00632 v1

Coverage vector

measured 35 of 35 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T13:31:51.514155Z

measured 35 of 35 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

35 of 35 outbound references displayed

  • verified exact0
  • verified fuzzy31
  • unresolved4
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 5876e695-c5fa-4207-b3bc-7f8f1f065ec2 · outbound

This paper cites The theory of cooperative phenomena in crys- tals.

Origins of the Ising model The theory of cooperative phenomena in crys- tals

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T13:31:53.654249Z

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.

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Observation 9e4f3b01-c72b-4e83-8408-61a9799561dc · outbound

This paper cites an unresolved cited work.

Origins of the Ising model Unresolved cited work

Reference 2

Resolution
unresolved
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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 3a26d337-67c3-47d8-8002-52f6cbda46f8 · outbound

This paper cites History of the Lenz-Ising model.

Origins of the Ising model History of the Lenz-Ising model

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T13:31:53.633318Z

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.

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Observation c120f8d9-609e-49a5-b8dc-2d1ed5e8e6bc · outbound

This paper cites an unresolved cited work.

Origins of the Ising model Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-05T13:31:53.624634Z

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.

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Observation 389cb8d4-84ca-46a0-9046-0fe31293a207 · outbound

This paper cites an unresolved cited work.

Origins of the Ising model Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-05T13:31:53.616939Z

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.

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Observation 8e761946-e8be-4846-b4e0-3a8f571d145e · outbound

This paper cites History of the Lenz-Ising model 1920-1950: from ferromagnetic to cooperative phenomena.

Origins of the Ising model History of the Lenz-Ising model 1920-1950: from ferromagnetic to cooperative phenomena

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T13:31:53.608302Z

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.

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Observation fcfed826-70f3-440b-a66d-58547644d705 · outbound

This paper cites Lenz, ‘Beitr¨ age zum Verst¨ andnis der magnetis- chen Eigenschaften in festen K¨ orpern”.

Origins of the Ising model Lenz, ‘Beitr¨ age zum Verst¨ andnis der magnetis- chen Eigenschaften in festen K¨ orpern”

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T13:31:53.599094Z

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=2026-08-05T13:31:51.445085Z digest=sha256:81965d3ee6ff1be80f0239f629a5e79150be9723eb86f52d0d4be325a6d3a959

Observation edd45906-e3c6-4e43-9e9c-1c31501dcad3 · outbound

This paper cites Beitrag zur Theorie des Ferromagnetismus.

Origins of the Ising model Beitrag zur Theorie des Ferromagnetismus

Reference 8

Resolution
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raw_fallback, observed 2026-08-05T13:31:53.591150Z

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=2026-08-05T13:31:51.447663Z digest=sha256:318f25b9635c4ae744aa82e2ba8162b9fde24fa077fb96a6a4b26df1e71c2ae4

Observation ca4247c2-cf16-4d04-a11f-47dc65f44cb0 · outbound

This paper cites Magnetic transitions.

Origins of the Ising model Magnetic transitions

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T13:31:53.446570Z

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.

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Observation 1201e223-3b7d-4cb3-825b-9728068bdcb6 · outbound

This paper cites Molekularund Atomtheorie des Mag- netismus.

Origins of the Ising model Molekularund Atomtheorie des Mag- netismus

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T13:31:53.285612Z

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.

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Observation 65df2858-c8c1-4236-9236-3c4a24c278e4 · outbound

This paper cites L’hypoth` ese du champ mol´ eculaire et la pro- priet´ e ferromagnetique.

Origins of the Ising model L’hypoth` ese du champ mol´ eculaire et la pro- priet´ e ferromagnetique

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T13:31:53.067782Z

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=2026-08-05T13:31:51.455742Z digest=sha256:0858cba81cbb05ed3aca5e3ea1bd3b2f248c3ef3412ec43b1bacebbc80881a88

Observation 0994476d-179a-447c-8349-9018fbcf2e38 · outbound

This paper cites Zur Theorie des Ferromagnetismus.

Origins of the Ising model Zur Theorie des Ferromagnetismus

Reference 12

Resolution
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raw_fallback, observed 2026-08-05T13:31:52.944355Z

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=2026-08-05T13:31:51.458410Z digest=sha256:482b0cc4bfe49925374a39416854add98bcec1366e2ba1e12f776e07188ba9ca

Observation d98c7cb2-d83c-4eb6-8b7e-e90107aa0b8d · outbound

This paper cites Les th´ eories quantiques du magn´ etisme: l’´ election magn´ etique.

Origins of the Ising model Les th´ eories quantiques du magn´ etisme: l’´ election magn´ etique

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T13:31:52.757704Z

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=2026-08-05T13:31:51.460897Z digest=sha256:b570ab5e60f8efd8f7816de05d0aa30718f583753e5361f7a1413150ed790b45

Observation 031e304b-f1f8-4b2d-8614-a06868002730 · outbound

This paper cites van Vleck, The Theory of Electric and Magnetic Sus- ceptibility Oxford Universiy Press, Oxford, 1932.

Origins of the Ising model van Vleck, The Theory of Electric and Magnetic Sus- ceptibility Oxford Universiy Press, Oxford, 1932

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T13:31:52.514627Z

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=2026-08-05T13:31:51.463409Z digest=sha256:975ab4547d3edafaa9f38456ee0c33221471540da648f726e6943b47961862fe

Observation dee8b1e7-3ddf-43aa-b359-928964ee162a · outbound

This paper cites R¨ ontgenographische Untersuchung von Umwandlungen in der Legierung CuAu.

Origins of the Ising model R¨ ontgenographische Untersuchung von Umwandlungen in der Legierung CuAu

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T13:31:52.247855Z

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=2026-08-05T13:31:51.466594Z digest=sha256:e524e5a39c251d24bb4796c2331a0ac760509c6d94cb1dd31e193f2edade4a42

Observation 4673ba49-e846-4d60-8ce1-d59e5fdb10f4 · outbound

This paper cites The effect of thermal agitation on atomic arrangement in alloys.

Origins of the Ising model The effect of thermal agitation on atomic arrangement in alloys

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T13:31:51.971794Z

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=2026-08-05T13:31:51.468975Z digest=sha256:3ac7e81ce5890a5d0f3c4a9fa7bc927e49ebda91ed6e0b5977af0afa2f03a943

Observation 17e6e1a2-45df-40d4-9776-bdcdfa5b3262 · outbound

This paper cites The effect of thermal agitation on atomic arrangement in alloys - II.

Origins of the Ising model The effect of thermal agitation on atomic arrangement in alloys - II

Reference 17

Resolution
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raw_fallback, observed 2026-08-05T13:31:51.803555Z

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=2026-08-05T13:31:51.471387Z digest=sha256:7df1e4a3d1f2f8aab0c3ead8a82369a3165e0de7b558a2b033191eb5baf8e88b

Observation 5912f36e-c462-469e-8bfb-93b9f91b04b2 · outbound

This paper cites Statistical theory of superlattices.

Origins of the Ising model Statistical theory of superlattices

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T13:31:51.681747Z

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=2026-08-05T13:31:51.474021Z digest=sha256:c41df3cf3c68a4974642998f491885f150bdfdddb936f02c9dfb59e915babfc9

Observation 8afc2b10-793e-461d-bcb0-eb074ad55dd7 · outbound

This paper cites Adsorption Isotherms. Critical Condi- tions.

Origins of the Ising model Adsorption Isotherms. Critical Condi- tions

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T13:31:51.671234Z

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=2026-08-05T13:31:51.476749Z digest=sha256:829a1a2ac8a8e6a56274ea3a299b308e4491ecad4ff08853e1bbc879e3caa3b7

Observation 7757a26b-1913-44ae-aaa0-5826e15ea3e1 · outbound

This paper cites Statistical theory of adsorption with inter- action between the adsorbed atoms.

Origins of the Ising model Statistical theory of adsorption with inter- action between the adsorbed atoms

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T13:31:51.662547Z

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=2026-08-05T13:31:51.479826Z digest=sha256:cb003c4e1690a87f2a370380e2dd8d868d16e0505d056d875437f01b08cdb3c9

Observation 2518cdd9-5015-4b46-84fa-e7e852231709 · outbound

This paper cites linear chain.

Origins of the Ising model linear chain

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T13:31:53.664540Z

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.

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Observation 79158b10-95a5-4dd7-8b34-7b0639b6a985 · outbound

This paper cites In this paper, they showed that the partition function, and therefore the free energy, is related to the largest eigenvalue of a certain matrix.

Origins of the Ising model In this paper, they showed that the partition function, and therefore the free energy, is related to the largest eigenvalue of a certain matrix

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T13:31:53.683343Z

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=2026-08-05T13:31:51.415461Z digest=sha256:4ef74c4d44ecb32e5402e960fd09ea8e7bb43d509d03598683e4afa43f68c196

Observation 5dd7f978-c772-481f-aa6e-493a20b19f5d · outbound

This paper cites Crystal Statistics. I. A Two-Dimensional Model with an Order-Disorder Transition.

Origins of the Ising model Crystal Statistics. I. A Two-Dimensional Model with an Order-Disorder Transition

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T13:31:51.632790Z

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=2026-08-05T13:31:51.487082Z digest=sha256:9bc03b5af45d1257e1731f9edb2db18e11628f73a1fb151139b75da659732940

Observation a1b4e01a-3cd5-4191-8c85-553ea3df5f75 · outbound

This paper cites ordered” sites and “dis- 6 ordered.

Origins of the Ising model ordered” sites and “dis- 6 ordered

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T13:31:53.674460Z

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=2026-08-05T13:31:51.419551Z digest=sha256:cc0a05cab9c691f4b96cb93048a0cb3d0655b74c0729a174e48100326d982b06

Observation 3dff474a-76d9-4b6c-bd96-03f79c264d41 · outbound

This paper cites On Ising’s model of ferromagnetism.

Origins of the Ising model On Ising’s model of ferromagnetism

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T13:31:51.652833Z

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=2026-08-05T13:31:51.482359Z digest=sha256:96ef009d8752d71e697091b723574bbfac8e46a2559b93e33f99f42f1303f48c

Observation 2bb07ce6-91a0-483d-9592-09a16057af30 · outbound

This paper cites Statistics of the two-dimensional ferromagter. Part I.

Origins of the Ising model Statistics of the two-dimensional ferromagter. Part I

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T13:31:51.643235Z

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=2026-08-05T13:31:51.484620Z digest=sha256:62bfe777651307b28d17005ccb0628084665da57bfe47b148325eee42cc7c21d

Observation 189c0b12-4ca7-4cdd-bc3d-65296266cbde · outbound

This paper cites The Spontaneous Magnetization of a Two- Dimensional Ising Model.

Origins of the Ising model The Spontaneous Magnetization of a Two- Dimensional Ising Model

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T13:31:51.623812Z

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=2026-08-05T13:31:51.491210Z digest=sha256:3010bbb89c182d43d0574192a535dd204a18e4c6a37b46646f697123841a8b7a

Observation bd657b7a-26de-47cb-bbb2-a76a88b48541 · outbound

This paper cites an unresolved cited work.

Origins of the Ising model Unresolved cited work

Reference 28

Resolution
unresolved
raw_fallback, observed 2026-08-05T13:31:51.614746Z

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=2026-08-05T13:31:51.493953Z digest=sha256:300aa44c7786e461f74ee49b5d52498a620ab8be9286f0de3f1f9eb9d942b426

Observation c6557051-82d5-4b9b-96bb-ccd34f11baea · outbound

This paper cites Time-dependent statistics of the Ising model.

Origins of the Ising model Time-dependent statistics of the Ising model

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T13:31:51.606009Z

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=2026-08-05T13:31:51.496502Z digest=sha256:dabd9b949b359ca0cd8326af449ed8389874ad7fc54083dc1a5f2332053798ef

Observation cb827331-748c-4f3c-a1f1-3ccde1e01a38 · outbound

This paper cites Tom´ e e M.

Origins of the Ising model Tom´ e e M

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T13:31:51.597354Z

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=2026-08-05T13:31:51.500857Z digest=sha256:9daf8f036d2c8fda85e5b22130947c554dfaa324097b315e3eb93a783aca985b

Observation 8beb0e2f-4b71-4fc8-bc55-b3a2d628b7ed · outbound

This paper cites Isotropic majority-vote model on a square lattice.

Origins of the Ising model Isotropic majority-vote model on a square lattice

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T13:31:51.586986Z

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=2026-08-05T13:31:51.503441Z digest=sha256:4e46f281142c71146d69db302efe191e2d5b5d69b7e6bdc3a0330ea469914acf

Observation f478dd79-4b0e-4748-9dc5-c7350d4f1cd5 · outbound

This paper cites On a variational procedure for obtaining the thermodynamic properties of statistical models.

Origins of the Ising model On a variational procedure for obtaining the thermodynamic properties of statistical models

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T13:31:51.576790Z

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=2026-08-05T13:31:51.506312Z digest=sha256:42ba245129cb9404341df58f4431510ed98d7f6276894b8fc99c3b393908901a

Observation 5695c8fd-1e60-40bb-a23d-808d3ec8f1b3 · outbound

This paper cites Theorie der Adsorption und verwandter Er- scheinungen.

Origins of the Ising model Theorie der Adsorption und verwandter Er- scheinungen

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T13:31:51.566442Z

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=2026-08-05T13:31:51.508975Z digest=sha256:b74422ca2a3ddee1b9c67bcb80c93f058ffe59d4583657d5e0a6199a775752c6

Observation 625839dc-104c-46ff-860f-e4b54fae448c · outbound

This paper cites Peierls proof of spontaneous magnetiza- tion in a two-dimensional Ising ferromagnet.

Origins of the Ising model Peierls proof of spontaneous magnetiza- tion in a two-dimensional Ising ferromagnet

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T13:31:51.556025Z

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=2026-08-05T13:31:51.511487Z digest=sha256:a199398ee04dbcfd76bef74a3f14cef4df5721968230487371e1000f92551660

Observation e6ba3964-68aa-4019-a90d-7e929fef798d · outbound

This paper cites Peierls, Bird of Passage , Princeton University Press, Princeton 1985,.

Origins of the Ising model Peierls, Bird of Passage , Princeton University Press, Princeton 1985,

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T13:31:51.544137Z

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=2026-08-05T13:31:51.514155Z digest=sha256:52811469d40e2c510519b8780b6de82214f2fb7793e59ae3cc88bebe6c801545

Pith citing papers

No inbound Pith citation observations are available.