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Paper Citation Record · LEDGER

Quantum field theory for classical fields

As of 9 August 2026, this Paper Citation Record lists 39 of 39 outbound references and 2 inbound Pith citation observations for arXiv:2603.05061.

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

pith.paper-citation-record.v1
2603.05061 v2

Coverage vector

measured 39 of 39 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-02T18:53:47.586838Z

measured 41 of 41 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-02T03:20:48.493664Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: arxiv_reference, observed 2026-05-20T18:28:53.174338Z

Reference resolution

39 of 39 outbound references displayed

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  • malformed identifier0
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External citation measurements

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Outbound references

Observation 60f82d44-bd2b-40a4-9d91-9340240e1863 · outbound

This paper cites an unresolved cited work.

Quantum field theory for classical fields Unresolved cited work

Reference 1

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source=pdf_text observed=2026-08-02T18:53:44.393911Z digest=sha256:71e5f3d5e5c527d47d9c94d035c77c3835fdec3dde6b454122abc60fdfa5b935

Observation 493fba3e-c400-4867-ad66-feed138687c7 · outbound

This paper cites an unresolved cited work.

Quantum field theory for classical fields Unresolved cited work

Reference 2

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source=pdf_text observed=2026-08-02T18:53:44.528473Z digest=sha256:af89fc55390ca7476f2ae08fecd4e76a42176dfba9ff8f0b7fd1750f41cb71c8

Observation 4a8c48af-cfd0-417a-9b0f-08faf15ee7f1 · outbound

This paper cites an unresolved cited work.

Quantum field theory for classical fields Unresolved cited work

Reference 3

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source=pdf_text observed=2026-08-02T18:53:44.752323Z digest=sha256:953bf108b60cf7ace83353053d9e46f0f8510127d44dc415bedf0e6520d6fca3

Observation 22790016-d387-42e3-9df3-8799c2c57f19 · outbound

This paper cites Probability Distributions and Hilbert Spaces: Quantum and Classical Systems.

Quantum field theory for classical fields Probability Distributions and Hilbert Spaces: Quantum and Classical Systems

Reference 4

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source=pdf_text observed=2026-08-02T18:53:44.903830Z digest=sha256:a74e67f7f8f297afdfcabf0a0ed780d9aefd3f33c5b89a8f84b77b3f03268d3c

Observation 6e12562a-f73f-4627-bb26-d6dc740103c9 · outbound

This paper cites On Koopman-von Neumann Waves.

Quantum field theory for classical fields On Koopman-von Neumann Waves

Reference 5

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source=pdf_text observed=2026-08-02T18:53:45.105844Z digest=sha256:5f312b6fa22f368b6205d626f98c833b6fa51d9cfd58a71a12b4adf66db68675

Observation 831dcf25-8fd9-457d-8cff-b82e75874e6e · outbound

This paper cites On Koopman-von Neumann Waves II.

Quantum field theory for classical fields On Koopman-von Neumann Waves II

Reference 6

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source=pdf_text observed=2026-08-02T18:53:45.151260Z digest=sha256:ad7edf14596c7c320ec70c512b1388dff860dc520ffd91b726676992a16ba68e

Observation d6e858b0-840b-4556-bf66-bb32fc0f5317 · outbound

This paper cites Classical mechanics without determinism.

Quantum field theory for classical fields Classical mechanics without determinism

Reference 7

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source=pdf_text observed=2026-08-02T18:53:45.254889Z digest=sha256:7285bc3a8bfc902ceb8c1736c44e82a1416c6b66dce40e78f2ec0c4d41f5c2a3

Observation e9a07c25-e40f-4c9a-9d20-737153586b20 · outbound

This paper cites Classical mechanics as nonlinear quantum mechanics.

Quantum field theory for classical fields Classical mechanics as nonlinear quantum mechanics

Reference 8

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source=pdf_text observed=2026-08-02T18:53:45.444791Z digest=sha256:812da9a5d9ad6e9703c2ed1d09208ddbe1fb9bfbfecaa053a7a12959f091c139

Observation 20f701e0-33f6-48f3-ad1b-1f16d3216eba · outbound

This paper cites Randomness in Classical Mechanics and Quantum Mechanics.

Quantum field theory for classical fields Randomness in Classical Mechanics and Quantum Mechanics

Reference 9

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source=pdf_text observed=2026-08-02T18:53:45.514362Z digest=sha256:84edc7a3237e9eb837383be593639ad170ba0823a01dce27ecef8c5ef5e78013

Observation da1d4e90-293e-4e68-b5b4-89e791512efa · outbound

This paper cites Relativistic Wigner function and consistent classical limit for spin 1/2 particles.

Quantum field theory for classical fields Relativistic Wigner function and consistent classical limit for spin 1/2 particles

Reference 10

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source=pdf_text observed=2026-08-02T18:53:45.641154Z digest=sha256:75526e2e6c4c2a5132f67ba7f139c958d5fb08a42c541a5c58e78b7bd52ff885

Observation ef59d5ef-2cdc-4d90-a87c-b24e7b6e0e94 · outbound

This paper cites Ergodic theory, Dynamic Mode Decomposition and Computation of Spectral Properties of the Koopman operator.

Quantum field theory for classical fields Ergodic theory, Dynamic Mode Decomposition and Computation of Spectral Properties of the Koopman operator

Reference 11

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source=pdf_text observed=2026-08-02T18:53:45.723829Z digest=sha256:fefe5d2aeeb368b66378266fa601e1e2b57b2e092f25ad8cfc73de842d8896c8

Observation b1bc8409-2ea5-4732-adf5-82ab93a23b62 · outbound

This paper cites Data-driven spectral analysis of the Koopman operator.

Quantum field theory for classical fields Data-driven spectral analysis of the Koopman operator

Reference 12

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source=pdf_text observed=2026-08-02T18:53:45.773088Z digest=sha256:2ad847a17fc41191c5a113cdfd403a4cd7298ad5a53f6e31cf0145eb1a4ce5b0

Observation 1cab2830-b69f-49b7-bc79-9aff97163f02 · outbound

This paper cites On the Operator Origins of Classical and Quantum Wave Functions.

Quantum field theory for classical fields On the Operator Origins of Classical and Quantum Wave Functions

Reference 13

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source=pdf_text observed=2026-08-02T18:53:45.893114Z digest=sha256:3c94b8b9666454920aeecf4bfd2544367fa02c6f056a7a4cccc2391be859ad83

Observation 395b3d24-9815-4b14-89e7-6f72e0aff667 · outbound

This paper cites Chru´ sci´ nski, Koopman’s approach to dissipation, Re- ports on Mathematical Physics57, 319 (2006).

Quantum field theory for classical fields Chru´ sci´ nski, Koopman’s approach to dissipation, Re- ports on Mathematical Physics57, 319 (2006)

Reference 14

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source=pdf_text observed=2026-08-02T18:53:45.967645Z digest=sha256:a7627bbfac1a406b4cf1346277649cdfda14eb25401cc8cdabe5eeb0e2ca218b

Observation c26fe181-f27c-49fd-a9c5-7262dc56c924 · outbound

This paper cites From Koopman-von Neumann Theory to Quantum Theory.

Quantum field theory for classical fields From Koopman-von Neumann Theory to Quantum Theory

Reference 15

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source=pdf_text observed=2026-08-02T18:53:46.040111Z digest=sha256:a7650ba2dc2899efb79e3938ed3c106ba256d3ec2616de9eb894cf5f928cdc42

Observation 8778ac1a-d160-4b1d-a99c-dbac8e2a1e8c · outbound

This paper cites On Numerical Approximations of the Koopman Operator.

Quantum field theory for classical fields On Numerical Approximations of the Koopman Operator

Reference 16

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source=pdf_text observed=2026-08-02T18:53:46.089337Z digest=sha256:24f6115614217d288c95ad8ff9868195dec2f6dea3b239b93fb3dc4dd073ab31

Observation 7a95be22-8c64-41af-9173-34fd21d54ba4 · outbound

This paper cites Darling and L.

Quantum field theory for classical fields Darling and L

Reference 17

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source=pdf_text observed=2026-08-02T18:53:46.135486Z digest=sha256:be1015495aa6f51e2820f10f05f4377f2df45ef32725d28620985238835102f9

Observation 3121182c-77d7-433f-ac54-d980c623a525 · outbound

This paper cites Gozzi, Hidden brs invariance in classical mechanics, Phys.

Quantum field theory for classical fields Gozzi, Hidden brs invariance in classical mechanics, Phys

Reference 18

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source=pdf_text observed=2026-08-02T18:53:46.187179Z digest=sha256:a0418615d60cb023ed936d297325797c06f2cd2f8e26587a580639b460ad9184

Observation f5c5d318-5bca-4b43-9c08-3de77f96e88a · outbound

This paper cites Gozzi, M.

Quantum field theory for classical fields Gozzi, M

Reference 19

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source=pdf_text observed=2026-08-02T18:53:46.243889Z digest=sha256:d0a861c4742cac62fc9cefd67f3799be6d4063e1f0ff45c0c48abb6264003b5d

Observation fe6a958c-dadb-41a6-8ad4-82a8b87f52e8 · outbound

This paper cites Time Evolution of Non-Equilibrium Effective Action.

Quantum field theory for classical fields Time Evolution of Non-Equilibrium Effective Action

Reference 20

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source=pdf_text observed=2026-08-02T18:53:46.303347Z digest=sha256:f24d55db51da8ebfd18918ccacb5954473403c2c91f597af73d29ec894159337

Observation 108a5654-4f81-40e3-b598-a16ef90f3761 · outbound

This paper cites Non-Equilibrium Time Evolution in Quantum Field Theory.

Quantum field theory for classical fields Non-Equilibrium Time Evolution in Quantum Field Theory

Reference 21

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source=pdf_text observed=2026-08-02T18:53:46.367236Z digest=sha256:f6da3017148a3039303484b98f8fae682dd934dcb1158060c51db07829df8d1c

Observation 368ce51c-5f1b-42c4-85c0-ca710b954318 · outbound

This paper cites Quantum particles from classical probabilities in phase space.

Quantum field theory for classical fields Quantum particles from classical probabilities in phase space

Reference 22

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source=pdf_text observed=2026-08-02T18:53:46.425647Z digest=sha256:bf43dee508ecb6dd686800423ac90ba5d18977fef9ce6e6cfc1de817923e3fc9

Observation 5ccdab56-2ff3-475d-b984-d74ed8d97539 · outbound

This paper cites Quantum particles from coarse grained classical probabilities in phase space.

Quantum field theory for classical fields Quantum particles from coarse grained classical probabilities in phase space

Reference 23

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source=pdf_text observed=2026-08-02T18:53:46.485442Z digest=sha256:eb9588c182c3037439c5d9f26eb999f367895f4e40daea6e87e023f07f3529ff

Observation b2df9fa5-ccf6-4cc5-b392-de41b532c634 · outbound

This paper cites Classical probabilities for Majorana and Weyl spinors.

Quantum field theory for classical fields Classical probabilities for Majorana and Weyl spinors

Reference 24

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source=pdf_text observed=2026-08-02T18:53:46.534749Z digest=sha256:4ef425c528c65680c24a9cdbcf05f62ae22ee90eb80415ae69c8444074e0c7af

Observation 62a74a2a-c84c-4e75-ac71-4cb57ca81507 · outbound

This paper cites Quantum field theory from classical statistics.

Quantum field theory for classical fields Quantum field theory from classical statistics

Reference 25

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source=pdf_text observed=2026-08-02T18:53:46.654245Z digest=sha256:74c119fbde6cd1af1002c5e14551ac7f905e57c6fd33febe522b086e3852fcc1

Observation d5247f96-1f0b-49c7-be06-effd5681ba87 · outbound

This paper cites The probabilistic world.

Quantum field theory for classical fields The probabilistic world

Reference 26

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Observation 5937783c-e422-41e6-b9f1-b060573b83a4 · outbound

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Quantum field theory for classical fields Unresolved cited work

Reference 27

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source=pdf_text observed=2026-08-02T18:53:46.786964Z digest=sha256:5b21393a22fd1891fe2f22186ffced5fb3f9c669974060984af9d08e0aaef9bf

Observation 72fb59ee-ae43-464d-9815-c7f4a40f018c · outbound

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Quantum field theory for classical fields Unresolved cited work

Reference 28

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source=pdf_text observed=2026-08-02T18:53:46.815976Z digest=sha256:a5ca5ea55f7c13224ed6286c5c90c877134b566d3d6133ffcb90bdf018579562

Observation 61e485ed-2cb1-4e54-87f6-7bf0dcf115dc · outbound

This paper cites Information transport in classical statistical systems.

Quantum field theory for classical fields Information transport in classical statistical systems

Reference 29

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source=pdf_text observed=2026-08-02T18:53:46.869741Z digest=sha256:b0117b5cb7c4e55fdf7a4a8e2497803652254fff923ee2d6690a970ddec9797b

Observation 6e76b1ec-2946-4c45-8aeb-0436ad2775e1 · outbound

This paper cites Quantum formalism for classical statistics.

Quantum field theory for classical fields Quantum formalism for classical statistics

Reference 30

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source=pdf_text observed=2026-08-02T18:53:46.933596Z digest=sha256:61481daa7aac7160b612bbddc6c2a520d5103af3f15ea587087fa2aedff77a16

Observation 67a1f256-e118-4a49-9de2-8b2081109246 · outbound

This paper cites von Neumann, The general and logical theory of au- tomata, inCerebral Mechanisms in Behavior; The Hixon Symposium(Wiley, Oxford, England, 1951) pp.

Quantum field theory for classical fields von Neumann, The general and logical theory of au- tomata, inCerebral Mechanisms in Behavior; The Hixon Symposium(Wiley, Oxford, England, 1951) pp

Reference 31

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source=pdf_text observed=2026-08-02T18:53:46.988539Z digest=sha256:40c30441932283fc7815e706c847b32573cf8a03627ccf4b1b53556fb8ec3abf

Observation 55bd4bcd-5125-4df5-a673-da77f4548a75 · outbound

This paper cites Ulam, Random processes and transformations, inPro- ceedings of the International Congress of Mathemati- cians, Vol.

Quantum field theory for classical fields Ulam, Random processes and transformations, inPro- ceedings of the International Congress of Mathemati- cians, Vol

Reference 32

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Observation ff9a3ba3-485a-41cd-9d47-0b539e3c3d76 · outbound

This paper cites Zuse,Rechnender Raum(Vieweg, Teubner Verlag, 1969).

Quantum field theory for classical fields Zuse,Rechnender Raum(Vieweg, Teubner Verlag, 1969)

Reference 33

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source=pdf_text observed=2026-08-02T18:53:47.170441Z digest=sha256:eaa7b33df2a32a8ec492b6bc852f2676e0bbc446018c7b3c37d9ec60389cd7b1

Observation dea0c7ab-ff6b-42a7-8c2d-42967b0f00fd · outbound

This paper cites Wolfram, Statistical mechanics of cellular automata, Rev.

Quantum field theory for classical fields Wolfram, Statistical mechanics of cellular automata, Rev

Reference 34

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source=pdf_text observed=2026-08-02T18:53:47.237301Z digest=sha256:a94b10f773498fddafefc64697d684ca82e0f8271965b2eceb20d529cf974ea9

Observation 201d5f44-3322-4e5d-baaa-58c4cabafcae · outbound

This paper cites The Cellular Automaton Interpretation of Quantum Mechanics.

Quantum field theory for classical fields The Cellular Automaton Interpretation of Quantum Mechanics

Reference 35

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Observation f8ee5004-d2f3-4aee-9f6e-72aecd69fef7 · outbound

This paper cites an unresolved cited work.

Quantum field theory for classical fields Unresolved cited work

Reference 36

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source=pdf_text observed=2026-08-02T18:53:47.397865Z digest=sha256:ebae468c1ce0baad1e04220264b0896dfc16bf0e3b6656f1215b6c28fbbcf7f2

Observation 8c5a5b55-2e1e-409d-a285-ca8b11a9f349 · outbound

This paper cites an unresolved cited work.

Quantum field theory for classical fields Unresolved cited work

Reference 37

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source=pdf_text observed=2026-08-02T18:53:47.449621Z digest=sha256:3a31b487aaaaf05532e5b89ddc55f07f04b8fa4d178479c9d7a747aedcd357fa

Observation f99a3664-e1a6-4b73-a37e-2f7e3940572f · outbound

This paper cites De Dominicis, Techniques de renormalisation de la th´ eorie des champs et dynamique des ph´ enom` enes cri- tiques, Journal de Physique Colloques37, C1 (1976).

Quantum field theory for classical fields De Dominicis, Techniques de renormalisation de la th´ eorie des champs et dynamique des ph´ enom` enes cri- tiques, Journal de Physique Colloques37, C1 (1976)

Reference 38

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source=pdf_text observed=2026-08-02T18:53:47.520601Z digest=sha256:9759261f84e82a6940646fda9538d7590f2cd0e7ffda421bb72db117d253ded8

Observation 4b3ab060-7422-46e8-a2d4-01a8d448c087 · outbound

This paper cites Nonequilibrium Quantum Fields: From Cold Atoms to Cosmology.

Quantum field theory for classical fields Nonequilibrium Quantum Fields: From Cold Atoms to Cosmology

Reference 39

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Pith citing papers

Observation 8793cbcb-1c24-41e9-b8da-d0407cbe271b · inbound

Quantum mechanics for classical transport equations cites this paper.

Quantum mechanics for classical transport equations Quantum field theory for classical fields

Reference 9

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verified exact
arxiv_id, observed 2026-07-30T02:04:36.200510Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-20T18:24:01.160627Z digest=sha256:5fca90d46d3bc2f28464719db13b848d06b00eefa0eda2e50ecbff2fdd538d31

Observation 08c6163e-3d0c-4159-80f6-4fef8949d982 · inbound

Quantum observables for probabilistic classical particles cites this paper.

Quantum observables for probabilistic classical particles Quantum field theory for classical fields

Reference 39

Resolution
unresolved
no resolver link, observed 2026-08-02T03:20:48.493664Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T03:20:48.493664Z digest=sha256:690648664398ac9fdc0ceb2aefdddaf2eb4fca2354155a8e5fbac30626970562