Paper Citation Record · LEDGER

Local well-posedness for the periodic Boltzmann equation with constant collision kernel

As of 15 August 2026, this Paper Citation Record lists 31 of 31 outbound references and 1 inbound Pith citation observation for arXiv:2411.12140.

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

pith.paper-citation-record.v1
2411.12140 v1

Coverage vector

measured 31 of 31 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T18:01:38.593910Z

measured 32 of 32 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-23T04:44:26.310971Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-23T04:45:24.511509Z

Reference resolution

31 of 31 outbound references displayed

verified exact2
verified fuzzy8
unresolved21
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 3633d4d2-a987-4d38-81e9-a49f6ee1e63b · outbound

This paper cites Alexandre, Y.

Local well-posedness for the periodic Boltzmann equation with constant collision kernel Alexandre, Y

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-12T18:01:38.447563Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e9f82958-2b35-473f-bd7f-c9671c9c2518 · outbound

This paper cites Alexandre, Y.

Local well-posedness for the periodic Boltzmann equation with constant collision kernel Alexandre, Y

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T18:01:39.103119Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 8942e472-b122-4ed4-99a2-4650598cbc28 · outbound

This paper cites an unresolved cited work.

Local well-posedness for the periodic Boltzmann equation with constant collision kernel Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-12T18:01:39.085998Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 95f4cef5-10a3-4d4f-89a0-cb05a063fe70 · outbound

This paper cites Ampatzoglou, I.

Local well-posedness for the periodic Boltzmann equation with constant collision kernel Ampatzoglou, I

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T18:01:39.068729Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 98f742cd-1269-40f7-affe-4819fdb97d01 · outbound

This paper cites an unresolved cited work.

Local well-posedness for the periodic Boltzmann equation with constant collision kernel Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-12T18:01:39.052506Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation ba0f108c-0e7e-41c1-8cb5-a9968e450ea1 · outbound

This paper cites an unresolved cited work.

Local well-posedness for the periodic Boltzmann equation with constant collision kernel Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-12T18:01:39.036335Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 04cb1c46-77bd-4b0c-84f1-c7497b7ccd77 · outbound

This paper cites Bourgain.

Local well-posedness for the periodic Boltzmann equation with constant collision kernel Bourgain

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T18:01:39.016772Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 1667931c-d733-4b46-afe3-79c57cbe00d7 · outbound

This paper cites an unresolved cited work.

Local well-posedness for the periodic Boltzmann equation with constant collision kernel Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-12T18:01:38.997562Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 3fc1929c-d6a3-4b67-89bf-5f384562c15b · outbound

This paper cites an unresolved cited work.

Local well-posedness for the periodic Boltzmann equation with constant collision kernel Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-12T18:01:38.977864Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 840705c3-4336-4577-b9f1-edb356c2df19 · outbound

This paper cites an unresolved cited work.

Local well-posedness for the periodic Boltzmann equation with constant collision kernel Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-12T18:01:38.960867Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation ff316db8-c3fb-479c-8f5b-ea92d5db60df · outbound

This paper cites Well/ill-posedness bifurcation for the Boltzmann equation with constant collision kernel.

Local well-posedness for the periodic Boltzmann equation with constant collision kernel Well/ill-posedness bifurcation for the Boltzmann equation with constant collision kernel

Reference 11

Resolution: verified exact; local_arxiv, observed 2026-08-12T18:01:38.678961Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation d0fc4b60-4801-4a13-bed5-365db1a13fc4 · outbound

This paper cites Sharp Global Well-posedness and Scattering of the Boltzmann Equation.

Local well-posedness for the periodic Boltzmann equation with constant collision kernel Sharp Global Well-posedness and Scattering of the Boltzmann Equation

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-12T18:01:38.504388Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 936e92e5-6b8f-4f4d-9b8b-62117d5ff115 · outbound

This paper cites Well/Ill-posedness of the Boltzmann Equation with Soft Potential.

Local well-posedness for the periodic Boltzmann equation with constant collision kernel Well/Ill-posedness of the Boltzmann Equation with Soft Potential

Reference 13

Resolution: verified exact; local_arxiv, observed 2026-08-12T18:01:38.637246Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation e9874422-16dd-46c5-aa6a-5d4fa5e8231a · outbound

This paper cites an unresolved cited work.

Local well-posedness for the periodic Boltzmann equation with constant collision kernel Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-12T18:01:38.940340Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 0ea5bfd6-6968-44ac-93f9-3a77cef9641a · outbound

This paper cites an unresolved cited work.

Local well-posedness for the periodic Boltzmann equation with constant collision kernel Unresolved cited work

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-12T18:01:38.519413Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 311f0988-355f-4437-96a2-0cf3bd6cd910 · outbound

This paper cites an unresolved cited work.

Local well-posedness for the periodic Boltzmann equation with constant collision kernel Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-12T18:01:38.909344Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation d89e7dea-4969-4f22-9cb1-9aa6f84eea1b · outbound

This paper cites an unresolved cited work.

Local well-posedness for the periodic Boltzmann equation with constant collision kernel Unresolved cited work

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-12T18:01:38.529669Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5a5efdab-4297-40eb-aa15-13b4a52f014b · outbound

This paper cites an unresolved cited work.

Local well-posedness for the periodic Boltzmann equation with constant collision kernel Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-12T18:01:38.878720Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 4e00783b-cd1d-477d-b521-c1a1cb5f56fa · outbound

This paper cites an unresolved cited work.

Local well-posedness for the periodic Boltzmann equation with constant collision kernel Unresolved cited work

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-12T18:01:38.538948Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7f133160-0155-4073-b0e9-b8038543858f · outbound

This paper cites an unresolved cited work.

Local well-posedness for the periodic Boltzmann equation with constant collision kernel Unresolved cited work

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-12T18:01:38.543737Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 53d38b06-4c42-439f-9731-b7942a17c8ea · outbound

This paper cites an unresolved cited work.

Local well-posedness for the periodic Boltzmann equation with constant collision kernel Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-08-12T18:01:38.843752Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 576e55e1-05f4-44cf-ade2-51e4488b4f72 · outbound

This paper cites He and J.

Local well-posedness for the periodic Boltzmann equation with constant collision kernel He and J

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T18:01:38.827740Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 0aa59b30-80d6-4f5a-ba5e-080690770af2 · outbound

This paper cites He and J.

Local well-posedness for the periodic Boltzmann equation with constant collision kernel He and J

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-12T18:01:38.557571Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c5ee04e7-40f0-402d-85fc-c3c368f97908 · outbound

This paper cites Kaniel and M.

Local well-posedness for the periodic Boltzmann equation with constant collision kernel Kaniel and M

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T18:01:38.802096Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 62bfd869-03fe-4f80-a657-101885f4781d · outbound

This paper cites Keel and T.

Local well-posedness for the periodic Boltzmann equation with constant collision kernel Keel and T

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-12T18:01:38.566496Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4ddce1ca-7a29-4aba-9f4b-b20c7e470a75 · outbound

This paper cites an unresolved cited work.

Local well-posedness for the periodic Boltzmann equation with constant collision kernel Unresolved cited work

Reference 26

Resolution: unresolved; raw_fallback, observed 2026-08-12T18:01:38.776066Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation fd9889b4-365d-4318-9842-7594fe237e27 · outbound

This paper cites Nishimura.

Local well-posedness for the periodic Boltzmann equation with constant collision kernel Nishimura

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T18:01:38.759189Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation fef8cf7d-7f99-4f3d-9970-8bed0e293cb0 · outbound

This paper cites Sohinger and R.

Local well-posedness for the periodic Boltzmann equation with constant collision kernel Sohinger and R

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T18:01:38.743424Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation b4cd42d8-f212-45d3-aa97-35938b71293d · outbound

This paper cites Takaoka and N.

Local well-posedness for the periodic Boltzmann equation with constant collision kernel Takaoka and N

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T18:01:38.727568Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 4fb3be63-2305-4686-b3f6-0cad39217b76 · outbound

This paper cites an unresolved cited work.

Local well-posedness for the periodic Boltzmann equation with constant collision kernel Unresolved cited work

Reference 30

Resolution: unresolved; raw_fallback, observed 2026-08-12T18:01:38.711540Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation da7233f7-4fc9-4f70-b4a1-d8829868cc90 · outbound

This paper cites an unresolved cited work.

Local well-posedness for the periodic Boltzmann equation with constant collision kernel Unresolved cited work

Reference 31

Resolution: unresolved; raw_fallback, observed 2026-08-12T18:01:38.696237Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Pith citing papers

Observation bed7caf3-dd2c-46d0-a608-6756139a8951 · inbound

$l^{2}$-decoupling and the unconditional uniqueness for the Boltzmann equation cites this paper.

$l^{2}$-decoupling and the unconditional uniqueness for the Boltzmann equation Local well-posedness for the periodic Boltzmann equation with constant collision kernel

Reference 10

Resolution: verified exact; arxiv_id, observed 2026-05-23T04:45:24.514008Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.