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Paper Citation Record · LEDGER

A sharp isoperimetric-type inequality for Lorentzian spaces satisfying timelike Ricci lower bounds

As of 11 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 10 inbound Pith citation observations for arXiv:2401.03949.

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

pith.paper-citation-record.v1
2401.03949 v2

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 10 of 10 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 10 of 10 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-09T21:36:03.034643Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-03T13:08:08.101177Z

Reference resolution

0 of 0 outbound references displayed

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External citation measurements

No source-named external measurement is stored.

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation 730f0326-578d-46cb-b542-c413fa2786b3 · inbound

New perspectives on the d'Alembertian from general relativity. An invitation cites this paper.

New perspectives on the d'Alembertian from general relativity. An invitation A sharp isoperimetric-type inequality for Lorentzian spaces satisfying timelike Ricci lower bounds

Reference 64

Resolution
unresolved
no resolver link, observed 2026-08-09T21:36:03.034643Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-09T21:36:03.034643Z digest=sha256:ce7e2bbecd8589d0bf1ed9dd69b8444ba7f40b83b9566daa9f92dad2c99c4a1b

Observation 557b8234-a5b8-4eff-89a6-48bf7b513040 · inbound

On the geometry of synthetic null hypersurfaces cites this paper.

On the geometry of synthetic null hypersurfaces A sharp isoperimetric-type inequality for Lorentzian spaces satisfying timelike Ricci lower bounds

Reference 16

Resolution
metadata mismatch
arxiv_id, observed 2026-05-19T11:27:15.880215Z

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.

source=pdf_text observed=2026-05-19T11:26:33.006804Z digest=sha256:b2b24e1836c98f349a8830feb2b9bec8913e6d0f20d093f9c77d5449c3825d84

Observation a2f36454-ef03-4cad-b1e9-a29b03b22ca3 · inbound

Reshetnyak Majorisation and discrete upper curvature bounds for Lorentzian length spaces cites this paper.

Reshetnyak Majorisation and discrete upper curvature bounds for Lorentzian length spaces A sharp isoperimetric-type inequality for Lorentzian spaces satisfying timelike Ricci lower bounds

Reference 15

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verified exact
arxiv_id, observed 2026-05-18T18:26:43.623367Z

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.

source=pdf_text observed=2026-05-18T18:26:09.708089Z digest=sha256:9168b5af586d9cf95cbbf881c40f0b58db983b6a8eebe1cb025f25e572b9528f

Observation 27dc0ee0-3400-4777-8238-fd6187760baa · inbound

Quantitative Lorentzian isoperimetric inequalities in conical Minkowski spacetimes cites this paper.

Quantitative Lorentzian isoperimetric inequalities in conical Minkowski spacetimes A sharp isoperimetric-type inequality for Lorentzian spaces satisfying timelike Ricci lower bounds

Reference 17

Resolution
unresolved
no resolver link, observed 2026-08-04T07:21:33.954128Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-04T07:21:33.954128Z digest=sha256:832cd61ef8c4e64005c4b4afbcbffe90c3a7f27947536c7e228715cc6d292022

Observation 6faad38d-4a16-4438-b740-aa83882949f0 · inbound

Differentiability and Other Properties of the Cosmological Volume Function cites this paper.

Differentiability and Other Properties of the Cosmological Volume Function A sharp isoperimetric-type inequality for Lorentzian spaces satisfying timelike Ricci lower bounds

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-03T16:55:08.698743Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T16:55:08.698743Z digest=sha256:36994d835ac7f632bb5b1e2d6edcababcdba5eb25233edb523d7d6d0f6c43f2c

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

Rigidity of the Borell-Brascamp-Lieb Inequality on Weighted Riemannian Manifolds cites this paper.

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.

source=arxiv_source observed=2026-05-13T22:27:58.747232Z digest=sha256:b2619891792ca3932a40f47fcb5fd3967d82f3c331d70823165ea5e6b11293da

Observation 3ef1d712-d97b-4f88-a7b9-511fa3757086 · inbound

Infinitesimal Minkowskianity for manifolds with continuous Lorentzian metrics cites this paper.

Infinitesimal Minkowskianity for manifolds with continuous Lorentzian metrics A sharp isoperimetric-type inequality for Lorentzian spaces satisfying timelike Ricci lower bounds

Reference 19

Resolution
verified exact
arxiv_id, observed 2026-05-11T20:11:12.458027Z

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.

source=pdf_text observed=2026-05-08T09:58:54.917877Z digest=sha256:2cdf4bbbab54e39d35173b48839e89917f91039c2c125a46925874f83c8b84b7

Observation 4de04e80-203f-4b44-9e6d-23bf9afa9fcc · inbound

Lorentzian coarea inequality cites this paper.

Lorentzian coarea inequality A sharp isoperimetric-type inequality for Lorentzian spaces satisfying timelike Ricci lower bounds

Reference 14

Resolution
verified exact
arxiv_id, observed 2026-05-12T03:11:18.645145Z

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.

source=pdf_text observed=2026-05-12T03:11:09.902750Z digest=sha256:3bf2f26dab267c8bb7abe5bbebabd8eae4c2e09e1fb5e01cd1e7e1c69aecbc35

Observation a5e1252f-fd5b-4ea7-aad7-ad7665613379 · inbound

Lorentzian coarea inequality cites this paper.

Lorentzian coarea inequality A sharp isoperimetric-type inequality for Lorentzian spaces satisfying timelike Ricci lower bounds

Reference 14

Resolution
verified exact
arxiv_id, observed 2026-05-20T23:13:50.597430Z

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.

source=pdf_text observed=2026-05-20T23:10:33.474875Z digest=sha256:33c9354a9a6675732a7d8f575c5c5177e01a828e688aba7417c6288f350b2171

Observation bfebd489-b11b-43cb-9f13-e4e1d6eb23e3 · inbound

A singularity theorem in terms of asymptotic expansion cites this paper.

A singularity theorem in terms of asymptotic expansion A sharp isoperimetric-type inequality for Lorentzian spaces satisfying timelike Ricci lower bounds

Reference 16

Resolution
metadata mismatch
arxiv_id, observed 2026-07-03T13:08:08.103160Z

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.

source=pdf_text observed=2026-06-27T08:33:07.176771Z digest=sha256:dba8506a3527a46d0160bca84b465ea033b48fcee9ab7769de064652b8540499