Paper Citation Record · LEDGER

Rigidity of the Borell-Brascamp-Lieb Inequality on Weighted Riemannian Manifolds

As of 11 August 2026, this Paper Citation Record lists 22 of 22 outbound references and 0 inbound Pith citation observations for arXiv:2604.00562.

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

pith.paper-citation-record.v1
2604.00562 v2

Coverage vector

measured 22 of 22 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-13T22:27:58.747232Z

measured 22 of 22 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+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

22 of 22 outbound references displayed

verified exact2
verified fuzzy8
unresolved12
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 6ca10562-6f04-4032-8602-fea0838c590f · outbound

This paper cites an unresolved cited work.

Rigidity of the Borell-Brascamp-Lieb Inequality on Weighted Riemannian Manifolds Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-05-13T22:28:21.440071Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 264aba2b-0948-4bb2-9a5d-c87c96ddfa5f · outbound

This paper cites an unresolved cited work.

Rigidity of the Borell-Brascamp-Lieb Inequality on Weighted Riemannian Manifolds Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-05-13T22:28:21.441654Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 9fc0f221-4e58-48c3-a9ad-64a553b202ff · outbound

This paper cites an unresolved cited work.

Rigidity of the Borell-Brascamp-Lieb Inequality on Weighted Riemannian Manifolds Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-05-13T22:28:21.436538Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 26e35d19-9f24-47e9-9d79-4973df6eeb4c · outbound

This paper cites an unresolved cited work.

Rigidity of the Borell-Brascamp-Lieb Inequality on Weighted Riemannian Manifolds Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-05-13T22:28:21.434996Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 6a5d7f26-f4ed-49f7-bd1e-53fe0d78e07f · outbound

This paper cites A sharp isoperimetric-type inequality for Lorentzian spaces satisfying timelike Ricci lower bounds.

Rigidity of the Borell-Brascamp-Lieb Inequality on Weighted Riemannian Manifolds A sharp isoperimetric-type inequality for Lorentzian spaces satisfying timelike Ricci lower bounds

Reference 5

Resolution: verified exact; arxiv_id, observed 2026-05-13T22:28:21.196682Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 206b4ad8-093f-4fab-bae8-26dde5ba961e · outbound

This paper cites Cordero-Erausquin, R.

Rigidity of the Borell-Brascamp-Lieb Inequality on Weighted Riemannian Manifolds Cordero-Erausquin, R

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-05-13T22:28:21.433283Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 7d027f21-2c7c-4c71-aa2d-d7bde2a7b706 · outbound

This paper cites De Philippis and N.

Rigidity of the Borell-Brascamp-Lieb Inequality on Weighted Riemannian Manifolds De Philippis and N

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-05-13T22:28:21.421540Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 4e45ec90-528d-486d-9ea6-820a117b6935 · outbound

This paper cites an unresolved cited work.

Rigidity of the Borell-Brascamp-Lieb Inequality on Weighted Riemannian Manifolds Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-05-13T22:28:21.419892Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 0b93ae45-7a19-4b73-9d91-f78a7453d0a9 · outbound

This paper cites Equivalence between the timelike Brunn-Minkowski inequality and timelike Bakry-\'Emery-Ricci lower bound on weighted globally hyperbolic spacetimes.

Rigidity of the Borell-Brascamp-Lieb Inequality on Weighted Riemannian Manifolds Equivalence between the timelike Brunn-Minkowski inequality and timelike Bakry-\'Emery-Ricci lower bound on weighted globally hyperbolic spacetimes

Reference 9

Resolution: verified exact; arxiv_id, observed 2026-05-13T22:28:21.194155Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation c349de90-386e-4d89-a861-f7c045030006 · outbound

This paper cites Local Semiconvexity of Kantorovich Potentials on Non-compact Manifolds.

Rigidity of the Borell-Brascamp-Lieb Inequality on Weighted Riemannian Manifolds Local Semiconvexity of Kantorovich Potentials on Non-compact Manifolds

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-05-13T22:28:21.414915Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 30350814-2114-4a1d-b8ec-c4bd45f5c2b5 · outbound

This paper cites an unresolved cited work.

Rigidity of the Borell-Brascamp-Lieb Inequality on Weighted Riemannian Manifolds Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-05-13T22:28:21.413209Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation b1b617a6-e728-4a7f-b630-4b0bf537d008 · outbound

This paper cites Henstock and A.

Rigidity of the Borell-Brascamp-Lieb Inequality on Weighted Riemannian Manifolds Henstock and A

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-05-13T22:28:21.443194Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation c70c8760-6e33-4110-b52d-92b5598891ce · outbound

This paper cites Lott and C.

Rigidity of the Borell-Brascamp-Lieb Inequality on Weighted Riemannian Manifolds Lott and C

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-05-13T22:28:21.427764Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 9b036265-f7a4-4835-a0c4-052adc7b0f90 · outbound

This paper cites Magnabosco, L.

Rigidity of the Borell-Brascamp-Lieb Inequality on Weighted Riemannian Manifolds Magnabosco, L

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-05-13T22:28:21.424671Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation c01e60bc-57e0-47ac-a03f-d18832ef8980 · outbound

This paper cites an unresolved cited work.

Rigidity of the Borell-Brascamp-Lieb Inequality on Weighted Riemannian Manifolds Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-05-13T22:28:21.418338Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 1f2113af-11a5-4e59-8b06-5aaecf293492 · outbound

This paper cites an unresolved cited work.

Rigidity of the Borell-Brascamp-Lieb Inequality on Weighted Riemannian Manifolds Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-05-13T22:28:21.423136Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation fbd294d3-287b-4825-88c7-860c76e9f83c · outbound

This paper cites Mondino and S.

Rigidity of the Borell-Brascamp-Lieb Inequality on Weighted Riemannian Manifolds Mondino and S

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-05-13T22:28:21.431494Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 2db73550-c22f-4d33-a40d-2ce223b74a01 · outbound

This paper cites an unresolved cited work.

Rigidity of the Borell-Brascamp-Lieb Inequality on Weighted Riemannian Manifolds Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-05-13T22:28:21.438508Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 29ad427d-1e6a-4f94-9e17-b506084a32a9 · outbound

This paper cites Otto and C.

Rigidity of the Borell-Brascamp-Lieb Inequality on Weighted Riemannian Manifolds Otto and C

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-05-13T22:28:21.444797Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 84cb4539-30f4-45e1-ade6-47afb0f2ad69 · outbound

This paper cites an unresolved cited work.

Rigidity of the Borell-Brascamp-Lieb Inequality on Weighted Riemannian Manifolds Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-05-13T22:28:21.416676Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 86cf0922-627c-44b3-8883-fa29b500a49b · outbound

This paper cites an unresolved cited work.

Rigidity of the Borell-Brascamp-Lieb Inequality on Weighted Riemannian Manifolds Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-05-13T22:28:21.429443Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation a482b540-d2db-4489-bdf8-11756d67dedf · outbound

This paper cites an unresolved cited work.

Rigidity of the Borell-Brascamp-Lieb Inequality on Weighted Riemannian Manifolds Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-05-13T22:28:21.426181Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Pith citing papers

No inbound Pith citation observations are available.