Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-06T11:29:44.318994Z
Paper Citation Record · LEDGER
On the locus of multiple maximizing geodesics on a globally hyperbolic spacetime
As of 19 August 2026, this Paper Citation Record lists 21 of 21 outbound references and 3 inbound Pith citation observations for arXiv:2507.22737.
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 2026-08-19T06:32:44.657259+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-03T23:36:30.057910Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-07-04T12:19:49.213725Z
Reference resolution
21 of 21 outbound references displayed
- verified exact1
- verified fuzzy16
- unresolved4
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation b362cfaa-f415-4324-ada6-153f46429b21 · outbound
This paper cites Global Lorentzian Geometry, Second Edition.
On the locus of multiple maximizing geodesics on a globally hyperbolic spacetime Global Lorentzian Geometry, Second Edition
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T11:29:47.869688Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 17faa02b-400a-42ee-9b8e-e8f6d04dc183 · outbound
This paper cites Existence of C 1,1 critical sub-solutions of the Hamilton- Jacobi equation on compact manifolds.
On the locus of multiple maximizing geodesics on a globally hyperbolic spacetime Existence of C 1,1 critical sub-solutions of the Hamilton- Jacobi equation on compact manifolds
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T11:29:47.692128Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation af17653c-ba79-4d5b-9965-47f041eff592 · outbound
This paper cites Lecture Notes on Lorentzian Geometry.
On the locus of multiple maximizing geodesics on a globally hyperbolic spacetime Lecture Notes on Lorentzian Geometry
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T11:29:47.494579Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation b1defb6e-6356-420d-afae-d090933ea31b · outbound
This paper cites Singularities of solu- tions of time dependent Hamilton-Jacobi equations.
On the locus of multiple maximizing geodesics on a globally hyperbolic spacetime Singularities of solu- tions of time dependent Hamilton-Jacobi equations
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T11:29:47.337320Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 9738a9fd-c3f2-4407-b901-dd6f63c4bb4f · outbound
This paper cites Semiconcave functions, Hamilton-Jacobi equations, and optimal control , volume 58 of Progress in Nonlinear Differential Equations and their Applications.
On the locus of multiple maximizing geodesics on a globally hyperbolic spacetime Semiconcave functions, Hamilton-Jacobi equations, and optimal control , volume 58 of Progress in Nonlinear Differential Equations and their Applications
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T11:29:47.182561Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 054b9ada-2328-41a3-94d3-24faadfbffc8 · outbound
This paper cites Regularity of optimal transport maps and applica- tions, volume 17 of Tesi.
On the locus of multiple maximizing geodesics on a globally hyperbolic spacetime Regularity of optimal transport maps and applica- tions, volume 17 of Tesi
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T11:29:47.016930Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation d89e0e84-f256-4690-91b4-119f4e153ff8 · outbound
This paper cites Riemannian Geometry.
On the locus of multiple maximizing geodesics on a globally hyperbolic spacetime Riemannian Geometry
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T11:29:46.814485Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 0b1c4a10-7192-4863-9734-a9faf43b497d · outbound
This paper cites The weak Kam theorem in Lagrangian dynamics.
On the locus of multiple maximizing geodesics on a globally hyperbolic spacetime The weak Kam theorem in Lagrangian dynamics
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T11:29:46.540385Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 1ed39322-71fc-45e7-8f95-edb817e729c1 · outbound
This paper cites Viscosity solutions of the Hamilton-Jacobi equation on a noncompact manifold.
On the locus of multiple maximizing geodesics on a globally hyperbolic spacetime Viscosity solutions of the Hamilton-Jacobi equation on a noncompact manifold
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T11:29:46.309161Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 4754f12e-4058-4ef9-a80e-5127ffaf8f53 · outbound
This paper cites Optimal transportation on non-compact manifolds.
On the locus of multiple maximizing geodesics on a globally hyperbolic spacetime Optimal transportation on non-compact manifolds
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T11:29:46.125417Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 4dbff124-cb1e-4ce1-877e-823727749d35 · outbound
This paper cites On the Hausdorff di- mension of the Mather quotient.
On the locus of multiple maximizing geodesics on a globally hyperbolic spacetime On the Hausdorff di- mension of the Mather quotient
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T11:29:45.927837Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 5dc855b8-f496-4e20-8360-a00a34bd1982 · outbound
This paper cites Riemannian geometry, volume 1 of De Gruyter Stud- ies in Mathematics.
On the locus of multiple maximizing geodesics on a globally hyperbolic spacetime Riemannian geometry, volume 1 of De Gruyter Stud- ies in Mathematics
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T11:29:45.730119Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 0dcb7cf9-b53a-4f43-ad6a-51de0ac58049 · outbound
This paper cites an unresolved cited work.
On the locus of multiple maximizing geodesics on a globally hyperbolic spacetime Unresolved cited work
Reference 13
- Resolution
- unresolved
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 097ad519-adfe-4615-95e6-306872297110 · outbound
This paper cites an unresolved cited work.
On the locus of multiple maximizing geodesics on a globally hyperbolic spacetime Unresolved cited work
Reference 14
- Resolution
- unresolved
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 372ebd31-27ef-4fcd-97a9-f369d080db9b · outbound
This paper cites an unresolved cited work.
On the locus of multiple maximizing geodesics on a globally hyperbolic spacetime Unresolved cited work
Reference 15
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T11:29:45.353591Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation d135d596-79bb-4f3d-b16a-43a8f941609a · outbound
This paper cites $C_{loc}^{1,1}$ optimal pairs in the dual optimal transport problem for a Lorentzian cost along displacement interpolations.
On the locus of multiple maximizing geodesics on a globally hyperbolic spacetime $C_{loc}^{1,1}$ optimal pairs in the dual optimal transport problem for a Lorentzian cost along displacement interpolations
Reference 16
- Resolution
- verified exact
- local_arxiv, observed 2026-08-06T11:29:44.476577Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation cdc02502-d1f1-47f5-8d00-d8ad1ccc32d6 · outbound
This paper cites Optimal transport and regularity of weak Kantorovich potentials on a globally hyperbolic spacetime.
On the locus of multiple maximizing geodesics on a globally hyperbolic spacetime Optimal transport and regularity of weak Kantorovich potentials on a globally hyperbolic spacetime
Reference 17
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T11:29:43.942912Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d6080038-cf93-44d5-8354-94aa7d98171e · outbound
This paper cites Lorentzian causality theory.
On the locus of multiple maximizing geodesics on a globally hyperbolic spacetime Lorentzian causality theory
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T11:29:45.169263Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 665406f2-0b29-4449-a0b8-d52ecdb4d873 · outbound
This paper cites An optimal transport formulation of the Einstein equations of general relativity.
On the locus of multiple maximizing geodesics on a globally hyperbolic spacetime An optimal transport formulation of the Einstein equations of general relativity
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T11:29:45.019355Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation f4c2417c-0d44-4a9b-bff4-da82884ce594 · outbound
This paper cites Semi-Riemannian geometry with applications to relativity: Volume 103.
On the locus of multiple maximizing geodesics on a globally hyperbolic spacetime Semi-Riemannian geometry with applications to relativity: Volume 103
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T11:29:44.834824Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 562e6118-4f1a-48b2-ad7f-9eab8c7480e4 · outbound
This paper cites Optimal Transport: Old and New.
On the locus of multiple maximizing geodesics on a globally hyperbolic spacetime Optimal Transport: Old and New
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T11:29:44.688421Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Pith citing papers
Observation 04173b34-c55b-4d02-89d1-6d588e23c833 · inbound
Semiconvexity of (weak) Kantorovich potentials in the Lorentzian optimal transport problem cites this paper.
Semiconvexity of (weak) Kantorovich potentials in the Lorentzian optimal transport problem On the locus of multiple maximizing geodesics on a globally hyperbolic spacetime
Reference 22
- Resolution
- unresolved
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8a824dc2-a92f-4ab5-a4cf-9777b93408ac · inbound
A Lorentzian Lasry-Lions regularization theorem cites this paper.
A Lorentzian Lasry-Lions regularization theorem On the locus of multiple maximizing geodesics on a globally hyperbolic spacetime
Reference 16
- Resolution
- verified exact
- arxiv_id, observed 2026-07-04T12:19:49.215270Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation f6a2fdbd-0654-46ef-8b25-dc10fc9fcddc · inbound
Lipschitz continuity of the cut time for globally hyperbolic spacetimes cites this paper.
Lipschitz continuity of the cut time for globally hyperbolic spacetimes On the locus of multiple maximizing geodesics on a globally hyperbolic spacetime
Reference 36
- Resolution
- unresolved
- no resolver link, observed 2026-08-02T02:23:59.972564Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.