Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links
Paper Citation Record · LEDGER
A nonlinear d'Alembert comparison theorem and causal differential calculus on metric measure spacetimes
As of 10 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 20 inbound Pith citation observations for arXiv:2408.15968.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-09T21:36:02.884734Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-07-04T08:29:42.399431Z
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 97744cf9-6f6a-48f7-95ca-6794745b3ff0 · inbound
Splitting theorems for weighted Finsler spacetimes via the $p$-d'Alembertian: beyond the Berwald case cites this paper.
Splitting theorems for weighted Finsler spacetimes via the $p$-d'Alembertian: beyond the Berwald case A nonlinear d'Alembert comparison theorem and causal differential calculus on metric measure spacetimes
Reference 6
- Resolution
- verified exact
- arxiv_id, observed 2026-05-23T07:05:30.666412Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation c41993f9-bbb3-457c-be4b-a76aea8873b2 · 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 nonlinear d'Alembert comparison theorem and causal differential calculus on metric measure spacetimes
Reference 23
- Resolution
- unresolved
- no resolver link, observed 2026-08-09T21:36:02.884734Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 3cd56330-219f-4c50-b075-c4da26eef989 · inbound
On the geometry of synthetic null hypersurfaces cites this paper.
On the geometry of synthetic null hypersurfaces A nonlinear d'Alembert comparison theorem and causal differential calculus on metric measure spacetimes
Reference 3
- Resolution
- verified exact
- arxiv_id, observed 2026-05-19T11:27:15.851020Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation e65f8108-244d-48fb-abd0-f0b183edd45c · inbound
Gromov's reconstruction theorem and measured Gromov-Hausdorff convergence in Lorentzian geometry cites this paper.
Gromov's reconstruction theorem and measured Gromov-Hausdorff convergence in Lorentzian geometry A nonlinear d'Alembert comparison theorem and causal differential calculus on metric measure spacetimes
Reference 4
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T04:33:06.774240Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 736c85ac-6d50-4d04-8f69-f336ea07177b · inbound
Spacetime reconstruction by order and number cites this paper.
Spacetime reconstruction by order and number A nonlinear d'Alembert comparison theorem and causal differential calculus on metric measure spacetimes
Reference 4
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T21:02:32.406345Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation bfeca220-f6e2-4f28-b1c4-268b8a2c5d9b · inbound
A Lorentzian splitting theorem for continuously differentiable metrics and weights cites this paper.
A Lorentzian splitting theorem for continuously differentiable metrics and weights A nonlinear d'Alembert comparison theorem and causal differential calculus on metric measure spacetimes
Reference 5
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T19:16:16.089753Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ebfd3bba-b2cf-42d6-b130-ffb6b84a8ac9 · 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 nonlinear d'Alembert comparison theorem and causal differential calculus on metric measure spacetimes
Reference 3
- Resolution
- verified exact
- arxiv_id, observed 2026-05-18T18:26:43.617959Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 9ca68e0b-f4b9-4163-83af-5e9c1602ca0e · inbound
The equivalence between timelike Ricci curvature and the timelike Brunn Minkowski inequality on synthetic Lorentzian spaces cites this paper.
The equivalence between timelike Ricci curvature and the timelike Brunn Minkowski inequality on synthetic Lorentzian spaces A nonlinear d'Alembert comparison theorem and causal differential calculus on metric measure spacetimes
Reference 5
- Resolution
- metadata mismatch
- arxiv_id, observed 2026-05-11T09:36:02.063089Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 0cb15b78-b6f8-418a-8485-126056fd570a · inbound
Infinitesimal Minkowskianity for manifolds with continuous Lorentzian metrics cites this paper.
Infinitesimal Minkowskianity for manifolds with continuous Lorentzian metrics A nonlinear d'Alembert comparison theorem and causal differential calculus on metric measure spacetimes
Reference 7
- Resolution
- verified exact
- arxiv_id, observed 2026-05-11T20:11:12.474470Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 5a5c6dea-dc3c-4e3a-8165-5893885a2aae · inbound
Timelike Ricci curvature lower bounds via optimal transport for Orlicz-type Lorentzian costs cites this paper.
Timelike Ricci curvature lower bounds via optimal transport for Orlicz-type Lorentzian costs A nonlinear d'Alembert comparison theorem and causal differential calculus on metric measure spacetimes
Reference 1
- Resolution
- verified exact
- arxiv_id, observed 2026-05-11T20:16:10.931097Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 91b3d938-93e4-4670-8f0f-ea78039fdf8c · inbound
Timelike Ricci curvature lower bounds via optimal transport for Orlicz-type Lorentzian costs cites this paper.
Timelike Ricci curvature lower bounds via optimal transport for Orlicz-type Lorentzian costs A nonlinear d'Alembert comparison theorem and causal differential calculus on metric measure spacetimes
Reference 1
- Resolution
- verified exact
- arxiv_id, observed 2026-05-14T21:38:01.041797Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation a8c32a8f-14ea-47cc-bcc2-7db5323a17d8 · inbound
Stability of Synthetic Timelike Ricci Bounds under $C^0$-Limits and Applications to Impulsive Gravitational Waves cites this paper.
Stability of Synthetic Timelike Ricci Bounds under $C^0$-Limits and Applications to Impulsive Gravitational Waves A nonlinear d'Alembert comparison theorem and causal differential calculus on metric measure spacetimes
Reference 1
- Resolution
- verified exact
- arxiv_id, observed 2026-05-12T10:51:30.607381Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 5cdfc284-7861-4d8d-b49c-62ef6d9c1b2a · inbound
Lorentzian coarea inequality cites this paper.
Lorentzian coarea inequality A nonlinear d'Alembert comparison theorem and causal differential calculus on metric measure spacetimes
Reference 2
- Resolution
- verified exact
- arxiv_id, observed 2026-05-12T03:11:18.636573Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 50919b42-0305-478f-8c0c-2320953df9c4 · inbound
Lorentzian coarea inequality cites this paper.
Lorentzian coarea inequality A nonlinear d'Alembert comparison theorem and causal differential calculus on metric measure spacetimes
Reference 2
- Resolution
- verified exact
- arxiv_id, observed 2026-05-20T23:13:50.591947Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 2bde941e-4179-4967-8841-cf1b6e2d5fc7 · inbound
A singularity theorem in terms of asymptotic expansion cites this paper.
A singularity theorem in terms of asymptotic expansion A nonlinear d'Alembert comparison theorem and causal differential calculus on metric measure spacetimes
Reference 3
- Resolution
- verified exact
- arxiv_id, observed 2026-07-03T13:08:08.111216Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 1fa4b757-07a5-4486-b189-28429992e6c9 · inbound
The alignment time function cites this paper.
The alignment time function A nonlinear d'Alembert comparison theorem and causal differential calculus on metric measure spacetimes
Reference 5
- Resolution
- verified exact
- arxiv_id, observed 2026-07-04T05:39:40.045113Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 57964ad1-80b9-483f-8cd6-218643618659 · inbound
Failure of local equi-Lipschitzness for families of Lorentz distances to Cauchy surface foliations cites this paper.
Failure of local equi-Lipschitzness for families of Lorentz distances to Cauchy surface foliations A nonlinear d'Alembert comparison theorem and causal differential calculus on metric measure spacetimes
Reference 2
- Resolution
- verified exact
- arxiv_id, observed 2026-07-04T08:29:42.400747Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation c9c5cd31-692b-45de-8405-b019584ebbdf · inbound
On one relaxation of the bounded-length-distortion condition in the context of metric measure spaces cites this paper.
On one relaxation of the bounded-length-distortion condition in the context of metric measure spaces A nonlinear d'Alembert comparison theorem and causal differential calculus on metric measure spacetimes
Reference 6
- Resolution
- metadata mismatch
- arxiv_id, observed 2026-07-02T16:37:09.129931Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation a1143e4b-e75d-4f5f-bd87-9926ed83401f · inbound
Doubling for chronological diamonds in Lorentzian geometry cites this paper.
Doubling for chronological diamonds in Lorentzian geometry A nonlinear d'Alembert comparison theorem and causal differential calculus on metric measure spacetimes
Reference 2005
- Resolution
- unresolved
- no resolver link, observed 2026-08-01T07:41:24.112348Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4d0cb665-766e-49b2-a151-7e449eed8db6 · inbound
Ideal points, directed completion and the case of the maximally extended Schwarzschild spacetime cites this paper.
Ideal points, directed completion and the case of the maximally extended Schwarzschild spacetime A nonlinear d'Alembert comparison theorem and causal differential calculus on metric measure spacetimes
Reference 1
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T18:46:44.979435Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.