Paper Citation Record · LEDGER

Long time derivation of the Boltzmann equation from hard sphere dynamics

As of 9 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 15 inbound Pith citation observations for arXiv:2408.07818.

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pith.paper-citation-record.v1
2408.07818 v3

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measured 0 of 0 reference resolution

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measured 15 of 15 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 15 of 15 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T11:22:21.981271Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-04T14:49:56.278966Z

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Outbound references

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Pith citing papers

Observation 39c8d934-2626-407c-b7b7-a113ce717dc9 · inbound

Cancellations for dispersive PDEs with random initial data cites this paper.

Cancellations for dispersive PDEs with random initial data Long time derivation of the Boltzmann equation from hard sphere dynamics

Reference 20

Resolution: verified exact; arxiv_id, observed 2026-05-23T06:35:27.954918Z

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.

Observation 1adc147a-e9cf-4b72-b448-f19ccaa54918 · inbound

Rigorous Derivation of the Wave Kinetic Equation for $\beta$-FPUT System cites this paper.

Rigorous Derivation of the Wave Kinetic Equation for $\beta$-FPUT System Long time derivation of the Boltzmann equation from hard sphere dynamics

Reference 42

Resolution: unresolved; no resolver link, observed 2026-08-07T11:22:21.981271Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 567f86b7-4b5f-485e-8688-3621d3935e8f · inbound

Kac's Program for the Landau Equation cites this paper.

Kac's Program for the Landau Equation Long time derivation of the Boltzmann equation from hard sphere dynamics

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-07T00:26:30.909121Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ec3e3a49-8f9c-4981-b96a-f187c00e801c · inbound

On the optimal local well-posedness of the wave kinetic equation in $L^r$ cites this paper.

On the optimal local well-posedness of the wave kinetic equation in $L^r$ Long time derivation of the Boltzmann equation from hard sphere dynamics

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-03T21:34:28.529948Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation db8d52a5-492c-498d-9ea1-08c5c26e027c · inbound

Kruskal-style algorithm for cubic Schr\"odinger equation molecule reduction cites this paper.

Kruskal-style algorithm for cubic Schr\"odinger equation molecule reduction Long time derivation of the Boltzmann equation from hard sphere dynamics

Reference 12

Resolution: verified exact; arxiv_id, observed 2026-05-21T10:40:00.670999Z

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.

Observation 3a2b6db7-6273-46fc-9e99-fcc250aefba1 · inbound

Large Deviations for the Nonlinear Schrodinger Equation with Randomized Quasi-Periodic Initial Data in Higher Dimensions: Beyond the Critical Time Scale cites this paper.

Large Deviations for the Nonlinear Schrodinger Equation with Randomized Quasi-Periodic Initial Data in Higher Dimensions: Beyond the Critical Time Scale Long time derivation of the Boltzmann equation from hard sphere dynamics

Reference 14

Resolution: verified exact; arxiv_id, observed 2026-05-10T06:26:27.284757Z

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.

Observation 56a990f2-e7f1-49e4-831e-a63e2e7807fd · inbound

The two-level systems in cryogenic solids, or how to avoid stressful memories cites this paper.

The two-level systems in cryogenic solids, or how to avoid stressful memories Long time derivation of the Boltzmann equation from hard sphere dynamics

Reference 4

Resolution: verified exact; arxiv_id, observed 2026-05-11T14:16:15.281135Z

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.

Observation 3c3a34e0-069e-4971-ae36-6a11f8d822a1 · inbound

Quantitative Estimates for Mean-Field Limits and Correlation Functions through a Duality Framework cites this paper.

Quantitative Estimates for Mean-Field Limits and Correlation Functions through a Duality Framework Long time derivation of the Boltzmann equation from hard sphere dynamics

Reference 9

Resolution: verified exact; arxiv_id, observed 2026-05-09T06:00:37.131766Z

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.

Observation 14dd7706-b816-49f4-afc3-a1b4a49eb798 · inbound

Quantitative Estimates for Mean-Field Limits and Correlation Functions through a Duality Framework cites this paper.

Quantitative Estimates for Mean-Field Limits and Correlation Functions through a Duality Framework Long time derivation of the Boltzmann equation from hard sphere dynamics

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-02T15:05:37.090726Z

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Unavailable: canonical work link unavailable.

Observation bca63a6f-93f1-4fe6-bca4-185bd9e8b57a · inbound

On the asymptotic behavior at the kinetic time of a weakly interacting Fermi gas cites this paper.

On the asymptotic behavior at the kinetic time of a weakly interacting Fermi gas Long time derivation of the Boltzmann equation from hard sphere dynamics

Reference 4

Resolution: verified exact; arxiv_id, observed 2026-05-14T18:07:33.615238Z

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.

Observation f12579d5-434e-481f-b379-89129e33a3ec · inbound

Rigorous Derivation of the Wave Kinetic Equation for full $\beta$-FPUT System cites this paper.

Rigorous Derivation of the Wave Kinetic Equation for full $\beta$-FPUT System Long time derivation of the Boltzmann equation from hard sphere dynamics

Reference 27

Resolution: verified exact; arxiv_id, observed 2026-05-20T04:48:06.036947Z

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.

Observation 19774316-b31a-499c-a024-45cc6b1fceaa · inbound

A survey on rigorous results for the dynamics of periodic FPU chains cites this paper.

A survey on rigorous results for the dynamics of periodic FPU chains Long time derivation of the Boltzmann equation from hard sphere dynamics

Reference 13

Resolution: verified exact; arxiv_id, observed 2026-07-02T20:17:22.338154Z

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.

Observation f663327d-b88c-4d20-8c98-fcbee67cf39d · inbound

Dynamical large deviations and long-range correlations for local weak wave turbulence cites this paper.

Dynamical large deviations and long-range correlations for local weak wave turbulence Long time derivation of the Boltzmann equation from hard sphere dynamics

Reference 70

Resolution: verified exact; arxiv_id, observed 2026-07-03T13:28:19.106541Z

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.

Observation 865e27be-91ba-4f06-bb4b-3f175d0c399b · inbound

Applicability of kinetic theory in strongly coupled thermal quantum systems cites this paper.

Applicability of kinetic theory in strongly coupled thermal quantum systems Long time derivation of the Boltzmann equation from hard sphere dynamics

Reference 26

Resolution: verified exact; arxiv_id, observed 2026-07-04T14:49:56.280896Z

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.

Observation 9033c831-7d7e-492a-8e97-32ebfa1b6e00 · inbound

Relational Quantum Causal Processes: Exact Models, Continuum Limits, and the Boundary of Emergent Gravity cites this paper.

Relational Quantum Causal Processes: Exact Models, Continuum Limits, and the Boundary of Emergent Gravity Long time derivation of the Boltzmann equation from hard sphere dynamics

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-01T11:09:22.308316Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.