Paper Citation Record · LEDGER

Hilbert's sixth problem: derivation of fluid equations via Boltzmann's kinetic theory

As of 11 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 15 inbound Pith citation observations for arXiv:2503.01800.

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pith.paper-citation-record.v1
2503.01800 v1

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measured 15 of 15 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+00:00

measured 15 of 15 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T05:08:37.629898Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-04T14:49:56.302424Z

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Outbound references

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Pith citing papers

Observation 9af25f47-c5e6-4d81-9009-cee20d668c46 · inbound

New Trends in Kinetic Theory Towards the Complexity of Living Systems cites this paper.

New Trends in Kinetic Theory Towards the Complexity of Living Systems Hilbert's sixth problem: derivation of fluid equations via Boltzmann's kinetic theory

Reference 94

Resolution: unresolved; no resolver link, observed 2026-08-07T05:08:37.629898Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b46e26b8-1fd4-467e-bc26-693c6f45d69d · inbound

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

Kac's Program for the Landau Equation Hilbert's sixth problem: derivation of fluid equations via Boltzmann's kinetic theory

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-07T00:26:30.911913Z

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Observation ecd6c652-cb37-444f-8df0-97ada35eac48 · inbound

Triangular and tetrahedral number differences of sumset sizes in additive number theory cites this paper.

Triangular and tetrahedral number differences of sumset sizes in additive number theory Hilbert's sixth problem: derivation of fluid equations via Boltzmann's kinetic theory

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-07T00:14:37.844606Z

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Observation 92af19d5-73b0-48b8-9543-3b87983c8469 · inbound

Equation-Free Coarse Control of Distributed Parameter Systems via Local Neural Operators cites this paper.

Equation-Free Coarse Control of Distributed Parameter Systems via Local Neural Operators Hilbert's sixth problem: derivation of fluid equations via Boltzmann's kinetic theory

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-04T14:42:42.499996Z

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Observation 328dae60-7449-4766-a5ae-6a1cf83cff03 · inbound

DustNET: enabling machine learning and AI models of dusty plasmas cites this paper.

DustNET: enabling machine learning and AI models of dusty plasmas Hilbert's sixth problem: derivation of fluid equations via Boltzmann's kinetic theory

Reference 111

Resolution: verified exact; arxiv_id, observed 2026-05-15T08:59:52.900191Z

Source-reported events for the cited work

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Observation fb344e40-bb78-4cbe-91db-52732a919de6 · inbound

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

Kruskal-style algorithm for cubic Schr\"odinger equation molecule reduction Hilbert's sixth problem: derivation of fluid equations via Boltzmann's kinetic theory

Reference 13

Resolution: verified exact; arxiv_id, observed 2026-05-21T10:40:00.674322Z

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.

Observation d235d1f5-68d1-4610-a121-a9fb076f5f1c · inbound

Hilbert's Sixth Problem and Soft Logic cites this paper.

Hilbert's Sixth Problem and Soft Logic Hilbert's sixth problem: derivation of fluid equations via Boltzmann's kinetic theory

Reference 4

Resolution: unresolved; no resolver link, observed 2026-07-13T15:28:02.876977Z

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Unavailable: canonical work link unavailable.

Observation 286dd789-53ff-4d2c-b83f-47a5af1784c4 · 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 Hilbert's sixth problem: derivation of fluid equations via Boltzmann's kinetic theory

Reference 26

Resolution: verified exact; arxiv_id, observed 2026-05-20T04:48:06.050517Z

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.

Observation 785c97ef-9181-4a10-a076-31f5e5e6c845 · inbound

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

Applicability of kinetic theory in strongly coupled thermal quantum systems Hilbert's sixth problem: derivation of fluid equations via Boltzmann's kinetic theory

Reference 27

Resolution: verified exact; arxiv_id, observed 2026-07-04T14:49:56.304090Z

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.

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

Derivation of the Boltzmann equation with no "molecular chaos"-type approximation cites this paper.

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

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Observation 9575b764-161f-4442-8770-85ba9157355a · inbound

A Spectral Criterion for Emergent Gravity cites this paper.

A Spectral Criterion for Emergent Gravity Hilbert's sixth problem: derivation of fluid equations via Boltzmann's kinetic theory

Reference 41

Resolution: unresolved; no resolver link, observed 2026-08-02T10:22:58.515857Z

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Unavailable: canonical work link unavailable.

Observation 53d6f6b2-d26b-4d2f-bd15-9eb97b4defc5 · 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 Hilbert's sixth problem: derivation of fluid equations via Boltzmann's kinetic theory

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-01T11:09:22.392096Z

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Observation c5903a13-899a-4040-b606-3e7b67bf1ffe · inbound

Gaussian non relativistic spontaneously stochastic hydrodynamics cites this paper.

Gaussian non relativistic spontaneously stochastic hydrodynamics Hilbert's sixth problem: derivation of fluid equations via Boltzmann's kinetic theory

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-01T06:07:15.824256Z

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Observation b4bbd970-2bdf-4806-bbff-cce132e037f7 · inbound

Coarse-Graining and the Classification of Long-Range Correlations in Quantum Field Theory cites this paper.

Coarse-Graining and the Classification of Long-Range Correlations in Quantum Field Theory Hilbert's sixth problem: derivation of fluid equations via Boltzmann's kinetic theory

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-04T17:15:36.489021Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fc610df7-6259-4e2b-85e5-fea89718d843 · inbound

Coarse-Graining and the Classification of Long-Range Correlations in Quantum Field Theory cites this paper.

Coarse-Graining and the Classification of Long-Range Correlations in Quantum Field Theory Hilbert's sixth problem: derivation of fluid equations via Boltzmann's kinetic theory

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-07T00:15:54.594760Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.