Paper Citation Record · LEDGER

Note About Koopman-von Neumann Theory and Density Matrix

As of 23 August 2026, this Paper Citation Record lists 17 of 17 outbound references and 0 inbound Pith citation observations for arXiv:2606.25085.

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

pith.paper-citation-record.v1
2606.25085 v1

Coverage vector

measured 17 of 17 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-11T11:50:26.030339Z

measured 17 of 17 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-23T06:30:58.430688+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

17 of 17 outbound references displayed

verified exact12
verified fuzzy0
unresolved4
parse uncertain0
malformed identifier0
metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 7aa473ea-8d6d-4f1f-be3b-c42a311f9f02 · outbound

This paper cites Proceedings of the National Academy of Sciences 17, 315–318.

Note About Koopman-von Neumann Theory and Density Matrix Proceedings of the National Academy of Sciences 17, 315–318

Reference 1

Resolution: metadata mismatch; doi, observed 2026-06-25T23:28:41.017472Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation a61fb4fe-e9f7-4d64-9999-71661766f59a · outbound

This paper cites von Neumann.

Note About Koopman-von Neumann Theory and Density Matrix von Neumann

Reference 2

Resolution: verified exact; doi, observed 2026-06-25T23:28:41.006950Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 585c6096-7efd-49d7-b488-ab4849b90686 · outbound

This paper cites Solutions of Koopman-von Neumann equa- tions, their superpositions, orthogonality and uncertainties,.

Note About Koopman-von Neumann Theory and Density Matrix Solutions of Koopman-von Neumann equa- tions, their superpositions, orthogonality and uncertainties,

Reference 3

Resolution: verified exact; arxiv_id, observed 2026-07-04T17:40:01.050571Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 23ffc26c-7525-4666-a501-f35e868fcf34 · outbound

This paper cites Uncertainty and Wigner negativity in Hilbert-space classical me- chanics,.

Note About Koopman-von Neumann Theory and Density Matrix Uncertainty and Wigner negativity in Hilbert-space classical me- chanics,

Reference 4

Resolution: verified exact; arxiv_id, observed 2026-07-04T17:40:01.045230Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation f57a4cff-30b0-4546-89f3-08a09edd103b · outbound

This paper cites The Particle in a Box in Koopman–von Neu- mann Mechanics: A Hilbert Space representation of Classical Mechanics,.

Note About Koopman-von Neumann Theory and Density Matrix The Particle in a Box in Koopman–von Neu- mann Mechanics: A Hilbert Space representation of Classical Mechanics,

Reference 5

Resolution: verified exact; arxiv_id, observed 2026-07-04T17:40:01.047569Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation bf3c8197-1b14-410c-9bdb-946e7f9b4412 · outbound

This paper cites Eisenhart lift of Koopman-von Neumann mechanics,.

Note About Koopman-von Neumann Theory and Density Matrix Eisenhart lift of Koopman-von Neumann mechanics,

Reference 6

Resolution: verified exact; arxiv_id, observed 2026-06-25T23:28:41.023446Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 796c96cd-83ef-4957-ad9a-d62513b7d236 · outbound

This paper cites From probabilistic mechanics to quantum theory,.

Note About Koopman-von Neumann Theory and Density Matrix From probabilistic mechanics to quantum theory,

Reference 7

Resolution: verified exact; doi, observed 2026-06-25T23:28:41.019817Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation d99fd01f-cf6f-4c95-a557-dd72649107e1 · outbound

This paper cites On Koopman-von Neumann waves 2,.

Note About Koopman-von Neumann Theory and Density Matrix On Koopman-von Neumann waves 2,

Reference 8

Resolution: verified exact; doi, observed 2026-06-25T23:28:41.025781Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 690520d8-31f5-48a9-abc1-d5add96f801f · outbound

This paper cites Hilbert Space Structure in Classical Mechanics: (I).

Note About Koopman-von Neumann Theory and Density Matrix Hilbert Space Structure in Classical Mechanics: (I)

Reference 9

Resolution: verified exact; local_arxiv, observed 2026-06-25T23:28:41.010434Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 9591c5e5-6ef1-4cea-bea6-7247e38ced97 · outbound

This paper cites On Koopman-von Neumann Waves.

Note About Koopman-von Neumann Theory and Density Matrix On Koopman-von Neumann Waves

Reference 10

Resolution: verified exact; local_arxiv, observed 2026-06-25T23:28:41.013224Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation f653ea77-0c98-4568-ade7-68dca26d0dab · outbound

This paper cites Wigner phase space distribution as a wave function.

Note About Koopman-von Neumann Theory and Density Matrix Wigner phase space distribution as a wave function

Reference 11

Resolution: verified exact; local_arxiv, observed 2026-06-25T23:28:41.029292Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation f0a3f1d5-be7c-49a2-8d53-91c3c1598180 · outbound

This paper cites an unresolved cited work.

Note About Koopman-von Neumann Theory and Density Matrix Unresolved cited work

Reference 12

Resolution: verified exact; doi, observed 2026-06-25T23:28:41.015359Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation c3cf4157-adf4-4efb-9757-a34272694fa8 · outbound

This paper cites Yvon,” La th´ eorie statistique des fluides et l’´ equation d’´ etat,”(Hermann, 1935).

Note About Koopman-von Neumann Theory and Density Matrix Yvon,” La th´ eorie statistique des fluides et l’´ equation d’´ etat,”(Hermann, 1935)

Reference 13

Resolution: unresolved; no resolver link, observed 2026-06-25T23:28:37.975784Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7c75d35f-2d0e-48c8-9f78-c454e13162d1 · outbound

This paper cites an unresolved cited work.

Note About Koopman-von Neumann Theory and Density Matrix Unresolved cited work

Reference 14

Resolution: unresolved; no resolver link, observed 2026-06-25T23:28:37.975784Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d9ad393f-29d1-4bd2-9651-464a0f3d538b · outbound

This paper cites an unresolved cited work.

Note About Koopman-von Neumann Theory and Density Matrix Unresolved cited work

Reference 15

Resolution: unresolved; no resolver link, observed 2026-06-25T23:28:37.975784Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8108fdd6-44e2-4749-a244-9c3043c4da34 · outbound

This paper cites Born and H.

Note About Koopman-von Neumann Theory and Density Matrix Born and H

Reference 16

Resolution: unresolved; no resolver link, observed 2026-06-25T23:28:37.975784Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6447604e-8da5-46c3-95eb-df62ea2ce228 · outbound

This paper cites Topics in Koopman-von Neumann Theory,.

Note About Koopman-von Neumann Theory and Density Matrix Topics in Koopman-von Neumann Theory,

Reference 17

Resolution: verified exact; arxiv_id, observed 2026-07-04T17:40:01.042251Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Pith citing papers

No inbound Pith citation observations are available.