Paper Citation Record · LEDGER

A functional inequality between Hessians in spaces with non-zero curvature

As of 8 August 2026, this Paper Citation Record lists 8 of 8 outbound references and 1 inbound Pith citation observation for arXiv:2506.07292.

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

pith.paper-citation-record.v1
2506.07292 v2

Coverage vector

measured 8 of 8 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T05:55:17.907124Z

measured 9 of 9 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 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-05T12:45:37.762353Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-05T12:45:38.603887Z

Reference resolution

8 of 8 outbound references displayed

verified exact0
verified fuzzy5
unresolved3
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 2e42675e-c4d9-490f-8a56-3848ea715dd3 · outbound

This paper cites an unresolved cited work.

A functional inequality between Hessians in spaces with non-zero curvature Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:55:18.016285Z

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.

Observation 461fa1b4-3aad-43b4-b455-0a9ad717d4dc · outbound

This paper cites an unresolved cited work.

A functional inequality between Hessians in spaces with non-zero curvature Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:55:18.005438Z

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.

Observation 0f5abd83-4f56-4d37-bbf7-1cf3b1e0d272 · outbound

This paper cites Cie\'slak , M.

A functional inequality between Hessians in spaces with non-zero curvature Cie\'slak , M

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:55:17.993051Z

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.

Observation 06dfb3b7-9526-4bfa-afce-971147bc0c28 · outbound

This paper cites Hamilton , A matrix Harnack estimate for the heat equation, Comm.

A functional inequality between Hessians in spaces with non-zero curvature Hamilton , A matrix Harnack estimate for the heat equation, Comm

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:55:17.981154Z

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.

Observation ebaafa55-359f-4fcc-b01b-dddc844e17b2 · outbound

This paper cites an unresolved cited work.

A functional inequality between Hessians in spaces with non-zero curvature Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:55:17.969154Z

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.

Observation 8e871e00-ca18-42fe-b75f-8c27e53c9668 · outbound

This paper cites Perelman , The entropy formula for the Ricci flow and its geometric applications, arXiV, 2002.

A functional inequality between Hessians in spaces with non-zero curvature Perelman , The entropy formula for the Ricci flow and its geometric applications, arXiV, 2002

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:55:17.958285Z

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.

Observation fc373c47-7dd4-4b9a-80ca-8b57ad81427d · outbound

This paper cites Stavrov , Curvature of Space and Time, with an Introduction to Geometric Analysis, Student Mathematical Library, vol.

A functional inequality between Hessians in spaces with non-zero curvature Stavrov , Curvature of Space and Time, with an Introduction to Geometric Analysis, Student Mathematical Library, vol

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:55:17.948027Z

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.

Observation d28edf40-0da1-4767-8d17-dbf8c00c0d61 · outbound

This paper cites Winkler , Global large-data solutions in a chemotaxis-(Navier-)Stokes system modeling cellular swimming in fluid drops, Comm.

A functional inequality between Hessians in spaces with non-zero curvature Winkler , Global large-data solutions in a chemotaxis-(Navier-)Stokes system modeling cellular swimming in fluid drops, Comm

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:55:17.937178Z

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.

Pith citing papers

Observation f816fe3e-e986-4497-b384-53f0c3003810 · inbound

Nonlinear Fisher information, corresponding functional inequalities and applications cites this paper.

Nonlinear Fisher information, corresponding functional inequalities and applications A functional inequality between Hessians in spaces with non-zero curvature

Reference 12

Resolution: verified exact; local_arxiv, observed 2026-08-05T12:45:38.707476Z

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.