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Paper Citation Record · LEDGER

Derivation of the Boltzmann equation with no "molecular chaos"-type approximation

As of 11 August 2026, this Paper Citation Record lists 14 of 14 outbound references and 0 inbound Pith citation observations for arXiv:2607.20134.

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

pith.paper-citation-record.v1
2607.20134 v1

Coverage vector

measured 14 of 14 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-01T10:48:50.558332Z

measured 14 of 14 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 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

14 of 14 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved14
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 182d7f16-6b28-4205-87df-5564b57cce31 · outbound

This paper cites an unresolved cited work.

Derivation of the Boltzmann equation with no "molecular chaos"-type approximation Unresolved cited work

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-01T10:48:49.276225Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T10:48:49.276225Z digest=sha256:ad3e42cfc5514506de545d817d20cc7ddb4ffa386b18a10f08b204f7165e2213

Observation 51b20d78-7115-4a27-b1f8-7daf35696218 · outbound

This paper cites Grad, Comm.

Derivation of the Boltzmann equation with no "molecular chaos"-type approximation Grad, Comm

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-01T10:48:49.363190Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T10:48:49.363190Z digest=sha256:263a770acf00d30bf783d65ac016731a56e59738e143073b34ace7bbac4e155e

Observation ff235e83-20b9-49db-835c-a57847853f94 · outbound

This paper cites Grad, inHandbuch der Physik,edited by S.

Derivation of the Boltzmann equation with no "molecular chaos"-type approximation Grad, inHandbuch der Physik,edited by S

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-01T10:48:49.494565Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T10:48:49.494565Z digest=sha256:1f405e8fcbf48e0714ee57aee67857dee30eb1c478c743d1887ce4afc25069af

Observation 53e9cb18-2986-4a8c-a872-0e39dd0099cf · outbound

This paper cites an unresolved cited work.

Derivation of the Boltzmann equation with no "molecular chaos"-type approximation Unresolved cited work

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-01T10:48:49.615675Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T10:48:49.615675Z digest=sha256:4e1bdf026d0246c78e9a8f754b6cec8ed00ad47edeba99ef90e5b24e33cc79d9

Observation ee608840-1c78-455d-922a-3b6dd091982a · outbound

This paper cites an unresolved cited work.

Derivation of the Boltzmann equation with no "molecular chaos"-type approximation Unresolved cited work

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-01T10:48:49.741722Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T10:48:49.741722Z digest=sha256:8c41227443d6f59da3b64e4bca505934555a2c8b46768a2520041b4384444740

Observation 22c90738-db47-47c5-a8fc-1f787bf6a8d2 · outbound

This paper cites Balescu,Statistical Dynamics.

Derivation of the Boltzmann equation with no "molecular chaos"-type approximation Balescu,Statistical Dynamics

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-01T10:48:49.854646Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T10:48:49.854646Z digest=sha256:75ab812b1aca8819b6a5d8685b4feb65b65529063ce2a1c5945edf30a5b51077

Observation 397fb994-b83b-43d2-bcf3-408b081996c0 · outbound

This paper cites an unresolved cited work.

Derivation of the Boltzmann equation with no "molecular chaos"-type approximation Unresolved cited work

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-01T10:48:49.999086Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T10:48:49.999086Z digest=sha256:3a3869323a216fb5ccf63d62e7731458a446acca6e1bdd386aa6ad692b498cfd

Observation 61475679-5223-4648-8f57-534421ff03f3 · outbound

This paper cites Probability and Irreversibility in Modern Statistical Mechanics: Classical and Quantum.

Derivation of the Boltzmann equation with no "molecular chaos"-type approximation Probability and Irreversibility in Modern Statistical Mechanics: Classical and Quantum

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-01T10:48:50.106640Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T10:48:50.106640Z digest=sha256:fef5aef4dca4f4fe94a854a503d4c6a80a7ece2a6dd8e813028bad50a3a443a9

Observation 6c341fa3-6d54-47f8-9863-a80ec51fbbc8 · outbound

This paper cites Balescu,Equilibrium and Nonequilibrium Statistical Mechanics(Wiley, New York, 1975).

Derivation of the Boltzmann equation with no "molecular chaos"-type approximation Balescu,Equilibrium and Nonequilibrium Statistical Mechanics(Wiley, New York, 1975)

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-01T10:48:50.170172Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T10:48:50.170172Z digest=sha256:11435ec0bc448f81bbcf15cb81dec1b8e0244b621dccf07af6d766536f9dc6a4

Observation e3eef77e-35b2-47f6-a373-296ad451ecb4 · outbound

This paper cites Hilbert's sixth problem: derivation of fluid equations via Boltzmann's kinetic theory.

Derivation of the Boltzmann equation with no "molecular chaos"-type approximation Hilbert's sixth problem: derivation of fluid equations via Boltzmann's kinetic theory

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-01T10:48:50.246393Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T10:48:50.246393Z digest=sha256:13486b585e45bdf56d74c5340d6be11b9f00550eedec1e4e3f5d085c0ca15bca

Observation 277bc9e6-1162-4df2-980d-c3b226c777a5 · outbound

This paper cites Nakajima, Progr.

Derivation of the Boltzmann equation with no "molecular chaos"-type approximation Nakajima, Progr

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-01T10:48:50.294104Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T10:48:50.294104Z digest=sha256:fb054164d1a403e012871f5a22a82623edcc6251b4a485b3d874ff6232f12516

Observation 17df1576-e406-41fa-b557-74553f726797 · outbound

This paper cites Zwanzig, J.

Derivation of the Boltzmann equation with no "molecular chaos"-type approximation Zwanzig, J

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-01T10:48:50.376108Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T10:48:50.376108Z digest=sha256:b07f28897e7fe8ca7c3b978c8a7de7d14ae197baaf0529e6a4fc24fee02043cf

Observation f355e8e1-7871-4f71-9fd7-e7d46d6c807c · outbound

This paper cites Prigogine,Non-Equilibrium Statistical Mechanics(Interscience Publish- ers, New York, 1962).

Derivation of the Boltzmann equation with no "molecular chaos"-type approximation Prigogine,Non-Equilibrium Statistical Mechanics(Interscience Publish- ers, New York, 1962)

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-01T10:48:50.464114Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T10:48:50.464114Z digest=sha256:299ed19fb998348a1c86e728d362850ad42f38cfe0c4c2d11aa611cb977be46c

Observation 3cef0272-9035-4d12-a47b-c902125177f3 · outbound

This paper cites Catapano, Kinet.

Derivation of the Boltzmann equation with no "molecular chaos"-type approximation Catapano, Kinet

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-01T10:48:50.558332Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T10:48:50.558332Z digest=sha256:a705a2ccb3bb555749747f960fa08338e1b18438418c9eb6fec8618a545e932b

Pith citing papers

No inbound Pith citation observations are available.