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Paper Citation Record · LEDGER

Quantum field theory for classical fields

As of 11 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 2026-08-11T06:34:44.6726+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
  • metadata mismatch0

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:b06324eacc982084fbeb29095f3715c16ec96e45072fa0d8b811b2121684b32a

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:aa7daf65b3b9984e9d4a6f6b9ed0d1980901035f59493e9cdbfa9c9d9840398d

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:f8ca802b69b8318da60a6580359dbbc6e32107284df5e5a98518b7bf8698a8d0

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=sha256:57318f2dbf6ca5282faa1a42db18ad76c0132de4f47ef9edde67647cf6e417bf

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=sha256:2d92974e0484a754fd5ee39d5731f2e77215033874f39b7ad1b470d26357c426

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=sha256:8c18542e6bbbf471eda5caaff3c9c75c36563f883eea62c9fcbb7febbcd94483

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:f13e26f15a4085dec8180dacc752b521467bded83b0ceef9236f0f14b9cb1d21

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=sha256:42c80a3dab371e0d00816773eeecdf9a11d9d3871919a31ba0d16460a5e47a22

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:c3ce3d4ac9e98580edcfb15f688e01e7edeff78601c2206e75642a1beb792714

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:a50c496e786b3e56d4466bf922520753d30b28a4751729869cd0bcf4df604a87

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:be59372044897b13e65efd60e9a810fb750b55548a57d1070e8f8d7572ad0398

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=sha256:4aa7d092fab215000d864d7df340389ab362a92c1bd77c32f01841db0b669b3f

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=sha256:109c76b112bd47a2f824c28e5537c0ac127f046c4fdd74374994f54abad4eb0e

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=sha256:847a221d707d3a9ef9e3faef24005e4ef2e5310d24cc9436c9d6bb549d971b3c

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=sha256:746e7421ee3b155b26b218b6fe5aec7514663d490c5eb488131565e2490c30f3

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=sha256:67bd52db38060cab487bd4b72f226226bb64bcf1eaa5f2cd7b240b9423d52c26

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=sha256:38eada596e4650a96eb7e952f3cfb8cecdd617cdfca64ba3624a0320e476c1cf

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:e74de1aa3966593e211e5229650cb4b66f671bfaa7dd7ee0195d6560ed5a325d

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=sha256:24789e9048e982da7674807675686a9b039d3a25d0c1f749c5d38c11a59c53cc

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=sha256:08d3be569b504dadfcfc31d92f3c52444f964a96b39e24e6a146ff2f54416bc3

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=sha256:35f5202ad090b9aabd2710d2e05f1124338ead76f387e65cfcd48c302258fa0d

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=sha256:7136adcfe64ca6b1e942e1f5ba8c5719020674b0ea0cf26285c9e4d6f5a43cb1

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:a9f62e4c2bf79ddff0534678eb95f00c534a261ef493e7ca8270961747294af5

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=sha256:26cc3c61f441066d2074326c5ef40686ad78440beb444952fb6d4901fea708d9

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=sha256:05f0251feaad40bf9944150c5a0a7de449882410ed84a6378777f7bdd091efc3

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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source=pdf_text observed=2026-08-02T18:53:46.723799Z digest=sha256:2737a9261cda742a9c6ec2da43e647991075b86aa8d4aa944a3ccd88f00f7ce8

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=sha256:61a08fb469400655a5a20a05cbc0d3b7e160317f31bf09b8a7ff3e3c953667dd

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=sha256:1b9738f38b9f864b2f0956493a41784d5f23e17ee9d91dd611eb4427a077fdea

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:f9547d9bc7f2142a708f54d4b0d76f45051a441df97def540443dc5570a6e4d4

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=sha256:814b07a82f5c4adda12322b9e206edd1025017ec22c33d73167e94152ed02145

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=sha256:54f635cd84e73dd34bb91219a01ca68f2f3dba891f9a10995c928fbfabd7247e

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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source=pdf_text observed=2026-08-02T18:53:47.060150Z digest=sha256:fe1f7a008ea401ff35698a624f699dccf41ca65c0dbb8e587b996482b246c9ae

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=sha256:9ef6e616ef6c71fc0ee1dc7c55e1ee22444afc540aa7ff8c7da8b451a1e4d293

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=sha256:112f3313b58969cfa4817fe321c84ddb8621c1f21b49aee348632dce675fae88

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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source=pdf_text observed=2026-08-02T18:53:47.303116Z digest=sha256:e161740b1b7af9b4fa747dd0cb4bf0f25233acfa13e38311b5e82b68a27cd907

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=sha256:96a8c6e1a80d79653520a28cacea7c84577d2d08a033bd2f7142ea28ab565f02

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:b592fc36597b8109d5dc6d3da4f12fc845a9a28479fdb6eb3dd8591c15df268c

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=sha256:94239f6b868ad78c8c90161eee15d220b30813556f51dda8d2bb8e3b0b8f988f

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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source=pdf_text observed=2026-08-02T18:53:47.586838Z digest=sha256:56597f3fa07bfb818eb8b802ffc36cc4fe025b9483ac12c1ccc19067582c17b2

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-05-20T18:24:01.160627Z digest=sha256:37211f61bb82ff260df147246833d6e29f646921e0eab2366986fb7ae72c9e39

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:b857a0c6c8f7a4a4c98309d73a4dbd12e5c30a6318a5c8b5c86ee0e42ce3db74