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Paper Citation Record · LEDGER

Fisher information for solutions of the Boltzmann equation

As of 8 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 2026-08-08T06:32:00.761636+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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T11:13:28.628102Z digest=sha256:46f7fc56c7f484d10cf424580eafb42d65c2627397273a437a00af2a8e368e12

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T11:13:28.835731Z digest=sha256:56b531141b40853e4544486b525628d5d67c28b3d483e13cbb986b079883a18b

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T11:13:29.064925Z digest=sha256:427d4ca38d90d245aa3370f03e8d432e92ca28a45a920ddc4614f4ac13af22c0

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T11:13:29.215407Z digest=sha256:e553ea0b81e9772d7d7923d1f25019ffc48c1aee808dc8d14d5f1c4909a7e9fc

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:d42144048381ca201356d581f81e627ca38710cd617947101855f9f8cf15d2ba

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T11:13:29.445939Z digest=sha256:70d974ff345c623578775f2015bd9695818486fb4184d2ea33ac1e05541154f1

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T11:13:29.646987Z digest=sha256:9f23218783e24eaed09ff797f092fca15eedd0ba395295041ba30827925ffdfc

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=sha256:3c218285f2190c080b52d2f3f3f8c9b5351c164e10c7f155bf4c4e406a3ae166

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T11:13:29.875154Z digest=sha256:1305978359754443be844e38c62bbe3addecd53d696f20dfc56bb95207a34f1a

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T11:13:29.957789Z digest=sha256:c64c57ad1eb7f401793cbfdb53d56a9cbe04cd4f94614707beac1ae44b6f8fd2

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T11:13:30.033107Z digest=sha256:1e74050101ab3ad7e7b5533b8504169e8b0d9e5eba56710fe6a7566ccc7b5c92

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T11:13:30.112821Z digest=sha256:a6a5c2b8a215beef18cc4c874a94703860ebfff3731e5e0f749ec4c0599a415a

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T11:13:30.281628Z digest=sha256:2a34e1f55aca92be7a6af940a4352c05341f7ac0f33ea2d04c04f4ee765d4c27

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T11:13:30.403152Z digest=sha256:dd0018fade79149935c4c33345641df4264717f842447951d09500d5a4095691

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T11:13:30.547893Z digest=sha256:1bfe2e684de3a4b19033c1c37b5ecac3572f990fb2f489027ec104eba37059a8

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T11:13:30.686684Z digest=sha256:c3c9e064cd66b90e78d33aec87d28ced4de43514e84c856084e044beddc14473

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T11:13:28.980314Z digest=sha256:57b5de568a1b90470ea207a7345b16ebf42cc90c7e3c6a7a0ec01c274d0660e7

Pith citing papers

No inbound Pith citation observations are available.