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Paper Citation Record · LEDGER

Fisher information for solutions of the Boltzmann equation

As of 11 August 2026, this Paper Citation Record lists 17 of 17 outbound references and 0 inbound Pith citation observations for arXiv:2509.03045.

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

pith.paper-citation-record.v1
2509.03045 v1

Coverage vector

measured 17 of 17 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T11:13:30.686684Z

measured 17 of 17 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

17 of 17 outbound references displayed

  • verified exact0
  • verified fuzzy9
  • unresolved8
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 884035a6-6714-4d7a-8e42-8b3a29d008fc · outbound

This paper cites Diffusions hypercontractives.

Fisher information for solutions of the Boltzmann equation Diffusions hypercontractives

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T11:13:33.633824Z

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=2026-08-05T11:13:28.628102Z digest=sha256:d5d2c36b0a42a1af865d3d0c6a84db292e1f76fcc59657ee8b7d51fbe9e2a99b

Observation f27281ea-c2a6-4b61-9162-0f5a33f61b97 · outbound

This paper cites Weitere Studien ¨ uber das W¨ armegleichgewicht unter Gasmolek¨ ulen, pages 115–.

Fisher information for solutions of the Boltzmann equation Weitere Studien ¨ uber das W¨ armegleichgewicht unter Gasmolek¨ ulen, pages 115–

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T11:13:33.446025Z

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=2026-08-05T11:13:28.835731Z digest=sha256:4a143514fc4ad9ad8ba5766baec0f25fa411d2334cea9be7c914c736df487054

Observation 4a7f441c-1b79-4a93-8461-f6b14bddad26 · outbound

This paper cites Carleman.

Fisher information for solutions of the Boltzmann equation Carleman

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T11:13:33.035276Z

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=2026-08-05T11:13:29.064925Z digest=sha256:d90f5dfa8e470a94895e039cdb5a3dff9d598518a4d1b1ef15a316f3011d9215

Observation 880e084d-5798-45cb-9acd-d9f70de76d21 · outbound

This paper cites Spherical harmonics in p dimensions.

Fisher information for solutions of the Boltzmann equation Spherical harmonics in p dimensions

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T11:13:32.846509Z

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=2026-08-05T11:13:29.215407Z digest=sha256:8455915eceff6d4ab1973bd3b4b3f1bdf7e3c5de161d2dfbb693335803b6039e

Observation 8b42a815-e491-440a-b795-6fa4e03b59cc · outbound

This paper cites The Landau equation does not blow up.

Fisher information for solutions of the Boltzmann equation The Landau equation does not blow up

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-05T11:13:29.367408Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T11:13:29.367408Z digest=sha256:c9e4df88de8904a6133fb9f21ae30e3c42fcfc525395fe510c4a0f6a87278762

Observation c38c0abf-7e66-4b23-8e0f-0f5f8072f690 · outbound

This paper cites Well-posedness of spatially homogeneous B oltzmann equation with full-range interaction.

Fisher information for solutions of the Boltzmann equation Well-posedness of spatially homogeneous B oltzmann equation with full-range interaction

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T11:13:32.614958Z

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=2026-08-05T11:13:29.445939Z digest=sha256:5b7b5c1ca6f2ea2d1b778f51fc5173c21cda55e9229d424aa8b39c5d20c3d299

Observation 1898297c-6b4e-4ed1-8023-6eaab0852108 · outbound

This paper cites On th e monotonicity of the Fisher information for the Boltzmann equation, 2024.

Fisher information for solutions of the Boltzmann equation On th e monotonicity of the Fisher information for the Boltzmann equation, 2024

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T11:13:32.513121Z

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=2026-08-05T11:13:29.646987Z digest=sha256:d08b87af339cb09414aef996fc8827f413ab1f8b69f28d3ddcb97875450b643b

Observation 0d0e7842-d2da-49da-89a9-d26f6097d95f · outbound

This paper cites Bounds for the optimal constant of the Bakry-\'Emery $\Gamma_2$ criterion inequality on $ RP^{d-1}$.

Fisher information for solutions of the Boltzmann equation Bounds for the optimal constant of the Bakry-\'Emery $\Gamma_2$ criterion inequality on $ RP^{d-1}$

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-05T11:13:29.746469Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T11:13:29.746469Z digest=sha256:1938193e2c81f31f2b8e6ded69c03d1dc5d668270cb6669e5132fcab4cbfbbf2

Observation f23957dc-6f40-4222-b07b-77e9efd56ca3 · outbound

This paper cites an unresolved cited work.

Fisher information for solutions of the Boltzmann equation Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-05T11:13:32.203709Z

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=2026-08-05T11:13:29.875154Z digest=sha256:034424ec3403b7a5b142c71d479587942dfb718bbe765a10f85f49f78d85701d

Observation a95d2c50-0d26-4c62-9305-b147197e6f73 · outbound

This paper cites an unresolved cited work.

Fisher information for solutions of the Boltzmann equation Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-05T11:13:31.998082Z

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=2026-08-05T11:13:29.957789Z digest=sha256:e695dc8a98f9b9e6110eb0943aba4cc5a413562e36eacfe20beb4ea42d3e703b

Observation 81fa139e-319a-4439-bded-e809838ce46f · outbound

This paper cites an unresolved cited work.

Fisher information for solutions of the Boltzmann equation Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-05T11:13:31.784516Z

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=2026-08-05T11:13:30.033107Z digest=sha256:24d162c6608d8225e2324cef6db8014c570be06aacbf54ea5d23e62cb0c9e475

Observation d60f44df-d534-4923-910a-8067e91f2f52 · outbound

This paper cites L´ evy processes and infinitely divisible distributions , volume 68 of Cambridge Studies in Advanced Mathematics.

Fisher information for solutions of the Boltzmann equation L´ evy processes and infinitely divisible distributions , volume 68 of Cambridge Studies in Advanced Mathematics

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T11:13:31.600708Z

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=2026-08-05T11:13:30.112821Z digest=sha256:1a6c5e3562823ad3cbe9407a045744ce594e47c95b7dbbfd71ec66dcb56d1ca2

Observation 967a41bd-47df-48a0-84bc-88e91c95890b · outbound

This paper cites Silvestre.

Fisher information for solutions of the Boltzmann equation Silvestre

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T11:13:31.427780Z

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=2026-08-05T11:13:30.281628Z digest=sha256:e552e6ceb9c7d6e4af9544e127c197fdc246f12bd98cf75a3ec5b000f2880e8b

Observation d4d27de5-7f6f-41ed-b58a-a1a275e2e11b · outbound

This paper cites an unresolved cited work.

Fisher information for solutions of the Boltzmann equation Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-05T11:13:31.275649Z

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=2026-08-05T11:13:30.403152Z digest=sha256:8ac608f1bccab0bc89a30a7af9c36f420bb5195c27d3b0816f47263ca1cf1344

Observation fc4447d1-4e33-43b0-8afe-d21a48ce39d8 · outbound

This paper cites an unresolved cited work.

Fisher information for solutions of the Boltzmann equation Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-05T11:13:31.167922Z

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=2026-08-05T11:13:30.547893Z digest=sha256:9cf163d9f053a02c4324fc0c002a3c6dabad2e174b4c6764bc8f2c3731338b8a

Observation 959822f5-6e49-4bf8-a79a-259e86a33d80 · outbound

This paper cites Fisher information in kinetic theory.

Fisher information for solutions of the Boltzmann equation Fisher information in kinetic theory

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T11:13:30.995756Z

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=2026-08-05T11:13:30.686684Z digest=sha256:5cb3b1a3488ab45994fc74ab5bf2f8721fdd8c40d1479330d4b9ef1778cbe955

Observation e9ba2e3a-08c4-4d30-a210-8cdf4656b4d8 · outbound

This paper cites an unresolved cited work.

Fisher information for solutions of the Boltzmann equation Unresolved cited work

Reference 225

Resolution
unresolved
raw_fallback, observed 2026-08-05T11:13:33.235744Z

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=2026-08-05T11:13:28.980314Z digest=sha256:c35ca2c5c5f31d93d0feb784760713a5a9574ec8a2fb682bbee4854a7658e501

Pith citing papers

No inbound Pith citation observations are available.