Paper Citation Record · LEDGER

Logarithmic Sobolev inequality and hypercontractivity for the Navier-Stokes Fokker-Planck operator

As of 22 August 2026, this Paper Citation Record lists 5 of 5 outbound references and 0 inbound Pith citation observations for arXiv:2606.03182.

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

pith.paper-citation-record.v1
2606.03182 v1

Coverage vector

measured 5 of 5 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-28T08:23:31.914455Z

measured 5 of 5 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+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

5 of 5 outbound references displayed

verified exact2
verified fuzzy0
unresolved3
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation cbce730a-5c0f-487e-a965-d17cf53953b0 · outbound

This paper cites Physical completion of the Navier-Stokes equations.

Logarithmic Sobolev inequality and hypercontractivity for the Navier-Stokes Fokker-Planck operator Physical completion of the Navier-Stokes equations

Reference 1

Resolution: verified exact; local_arxiv, observed 2026-07-02T05:16:39.388221Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 228fde8e-5303-4dc0-ad1f-9335bb86cc2d · outbound

This paper cites Gross, Logarithmic Sobolev inequalities, Amer.

Logarithmic Sobolev inequality and hypercontractivity for the Navier-Stokes Fokker-Planck operator Gross, Logarithmic Sobolev inequalities, Amer

Reference 2

Resolution: unresolved; no resolver link, observed 2026-06-28T08:23:31.914455Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f4775dc5-f14a-4dbd-bed9-5742d241a6e2 · outbound

This paper cites Bakry, I.

Logarithmic Sobolev inequality and hypercontractivity for the Navier-Stokes Fokker-Planck operator Bakry, I

Reference 3

Resolution: unresolved; no resolver link, observed 2026-06-28T08:23:31.914455Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 416eee8a-6012-4788-8763-df72e70b341b · outbound

This paper cites an unresolved cited work.

Logarithmic Sobolev inequality and hypercontractivity for the Navier-Stokes Fokker-Planck operator Unresolved cited work

Reference 4

Resolution: verified exact; arxiv_id, observed 2026-07-02T05:16:39.391190Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation a6216a50-4d3a-456b-b2db-c54c73604928 · outbound

This paper cites Braunstein and Z.-W.

Logarithmic Sobolev inequality and hypercontractivity for the Navier-Stokes Fokker-Planck operator Braunstein and Z.-W

Reference 5

Resolution: unresolved; no resolver link, observed 2026-06-28T08:23:31.914455Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.