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Paper Citation Record · LEDGER

Fisher information for solutions of the Boltzmann equation

As of 18 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 2026-08-17T06:30:58.91139+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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-05T11:13:28.628102Z digest=sha256:92663195d778c8df38e4719874ad718102d3885ca87939074b063d7f91782ad9

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-05T11:13:28.835731Z digest=sha256:71a2fbad513e88e9f8fb563c87bbeb4d4f2b6282aa42366c49f6bb6d23920e09

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-05T11:13:29.064925Z digest=sha256:a86e36105ba569f992a2be53ef4b2625c369d6f38ec9cf6c2d5d114eca6f2609

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-05T11:13:29.215407Z digest=sha256:c3f41b36a8ca1b51590519815069a372fa32bbfed6f909040b1e631a63f0ff90

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:a39459c03634f8963924541d382820705347adac04f9c8ffbad67e8c5feae0b6

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-05T11:13:29.445939Z digest=sha256:2088318f7af3e7e3cbb99612f69a807d4dc79d5d852e98e900614c6f3fecaf31

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-05T11:13:29.646987Z digest=sha256:d0b35b34fa11936f47d581c86ae9bbb610d1e9471d5ba7383b8101b4f8d2e484

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=sha256:4c5b4e6b9dc75e950f4344d1f70c3349bdfa3cf8b4923afa358004cca207abaa

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-05T11:13:29.875154Z digest=sha256:18fae3cb8ab73fa739c09c92905e7048e4a2a689653ffb109019dddb13681441

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-05T11:13:29.957789Z digest=sha256:896f9357ed8c9b99927ea780d4795724bbf76e90c27763b8fdc8b99a81d88849

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-05T11:13:30.033107Z digest=sha256:dd249c8aed8b45572e94102ca901bb7cbf80fbf39b59fbce88c056242e48be72

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-05T11:13:30.112821Z digest=sha256:549dc711f0184babea4eef2978b921409b0986aa941bad406b6ce1b42fc7cf93

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-05T11:13:30.281628Z digest=sha256:2a230445bf83dd2c650c3040823ed6c9f0fa88ac7697bd37c1bd8535068f856b

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-05T11:13:30.403152Z digest=sha256:3a03c52a2e794574a4e0f1f0d1232aaf510a1802fd033dbb8f818b9a338b2860

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-05T11:13:30.547893Z digest=sha256:1192d833a4ea2e937dbefe70da3d20023ada973d12c05476524ecaf09d7b3f2a

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-05T11:13:30.686684Z digest=sha256:fd640ec318c9230f775f4f4d585949314b2a435bfd4db5edf4e96db5efea234a

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-05T11:13:28.980314Z digest=sha256:4dc2729c3bf771db2f5f384fa5620b425d7d0e53aa94b31d91c7d96f4b96aa49

Pith citing papers

No inbound Pith citation observations are available.