Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-06-27T08:33:07.176771Z
Paper Citation Record · LEDGER
A singularity theorem in terms of asymptotic expansion
As of 14 August 2026, this Paper Citation Record lists 38 of 38 outbound references and 0 inbound Pith citation observations for arXiv:2606.11825.
A citation records a reference. It does not transfer a finding from one paper to another.
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One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
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Source: cited_works
Reference resolution
38 of 38 outbound references displayed
- verified exact6
- verified fuzzy0
- unresolved28
- parse uncertain0
- malformed identifier0
- metadata mismatch4
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 9e8a97b1-0564-461f-99df-62e5f64b71d0 · outbound
This paper cites Alexander, Melanie Graf, Michael Kunzinger, and Clemens S¨ amann.
A singularity theorem in terms of asymptotic expansion Alexander, Melanie Graf, Michael Kunzinger, and Clemens S¨ amann
Reference 1
- Resolution
- unresolved
- no resolver link, observed 2026-06-27T08:33:07.176771Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d79b7171-ea93-49be-a22b-3c4d733cb536 · outbound
This paper cites Balogh and Alexandru Krist´ aly.
A singularity theorem in terms of asymptotic expansion Balogh and Alexandru Krist´ aly
Reference 2
- Resolution
- unresolved
- no resolver link, observed 2026-06-27T08:33:07.176771Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2bde941e-4179-4967-8841-cf1b6e2d5fc7 · outbound
This paper cites A nonlinear d'Alembert comparison theorem and causal differential calculus on metric measure spacetimes.
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 2026-08-14T06:32:32.682623+00:00.
Observation 857f6e0d-a90a-4963-afb0-685e74571fac · outbound
This paper cites Curvature bounds, regularity and inextendibility of spacetimes.
A singularity theorem in terms of asymptotic expansion Curvature bounds, regularity and inextendibility of spacetimes
Reference 4
- Resolution
- verified exact
- local_arxiv, observed 2026-07-03T13:08:08.094265Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 8c0df65e-5c22-4301-9a55-fa7a19906bb5 · outbound
This paper cites R´ enyi’s entropy on Lorentzian spaces.
A singularity theorem in terms of asymptotic expansion R´ enyi’s entropy on Lorentzian spaces
Reference 5
- Resolution
- unresolved
- no resolver link, observed 2026-06-27T08:33:07.176771Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2dbd8cb7-f2b6-4e41-8290-6232dbb03c92 · outbound
This paper cites Exact d'Alembertian for Lorentz distance functions.
A singularity theorem in terms of asymptotic expansion Exact d'Alembertian for Lorentz distance functions
Reference 6
- Resolution
- verified exact
- arxiv_id, observed 2026-07-03T13:08:08.108646Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 1c12926f-76c2-4875-8421-dc270a4e683b · outbound
This paper cites Braun and M.-S.
A singularity theorem in terms of asymptotic expansion Braun and M.-S
Reference 7
- Resolution
- metadata mismatch
- arxiv_id, observed 2026-07-03T13:08:08.116131Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation e2d43d43-a91b-46b1-b48c-341f29d1a9d0 · outbound
This paper cites Causal convergence conditions through variable timelike Ricci curvature bounds.
A singularity theorem in terms of asymptotic expansion Causal convergence conditions through variable timelike Ricci curvature bounds
Reference 8
- Resolution
- verified exact
- arxiv_id, observed 2026-07-03T13:08:08.111027Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 96454766-a5ef-496f-aeb7-9ef68ae8b5eb · outbound
This paper cites Open and closed universes, initial singularities, and infla- tion.
A singularity theorem in terms of asymptotic expansion Open and closed universes, initial singularities, and infla- tion
Reference 9
- Resolution
- metadata mismatch
- arxiv_id, observed 2026-07-03T13:08:08.100005Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 72b218e6-0a08-41a1-8621-0992d7cd40cb · outbound
This paper cites Busemann.
A singularity theorem in terms of asymptotic expansion Busemann
Reference 10
- Resolution
- unresolved
- no resolver link, observed 2026-06-27T08:33:07.176771Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 42ccaf3d-d682-4687-af87-69c52c17dd5d · outbound
This paper cites Lorentzian metric spaces and GH-convergence: the unbounded case.Lett.
A singularity theorem in terms of asymptotic expansion Lorentzian metric spaces and GH-convergence: the unbounded case.Lett
Reference 11
- Resolution
- unresolved
- no resolver link, observed 2026-06-27T08:33:07.176771Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 84ce97a7-4ed7-4d7a-986e-a06afc7d15c5 · outbound
This paper cites Rigidities of isoperimetric inequality under nonnegative Ricci curvature.J.
A singularity theorem in terms of asymptotic expansion Rigidities of isoperimetric inequality under nonnegative Ricci curvature.J
Reference 12
- Resolution
- unresolved
- no resolver link, observed 2026-06-27T08:33:07.176771Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 46bcd074-bf97-4697-8a20-b8c137620b3e · outbound
This paper cites On the geometry of synthetic null hypersurfaces.
A singularity theorem in terms of asymptotic expansion On the geometry of synthetic null hypersurfaces
Reference 13
- Resolution
- verified exact
- local_arxiv, observed 2026-07-03T13:08:08.105066Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation e3cc6881-68d8-463e-9600-13ef612ad311 · outbound
This paper cites A review of Lorentzian synthetic theory of timelike Ricci curvature bounds.Gen.
A singularity theorem in terms of asymptotic expansion A review of Lorentzian synthetic theory of timelike Ricci curvature bounds.Gen
Reference 14
- Resolution
- unresolved
- no resolver link, observed 2026-06-27T08:33:07.176771Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 99a9fe40-11f2-4094-837a-f72aec49dd62 · outbound
This paper cites Optimal transport in Lorentzian synthetic spaces, synthetic timelike Ricci curvature lower bounds and ap- plications.Camb.
A singularity theorem in terms of asymptotic expansion Optimal transport in Lorentzian synthetic spaces, synthetic timelike Ricci curvature lower bounds and ap- plications.Camb
Reference 15
- Resolution
- unresolved
- no resolver link, observed 2026-06-27T08:33:07.176771Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation bfebd489-b11b-43cb-9f13-e4e1d6eb23e3 · outbound
This paper cites A sharp isoperimetric-type inequality for Lorentzian spaces satisfying timelike Ricci lower bounds.
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 2026-08-14T06:32:32.682623+00:00.
Observation 2b3f4ede-dac4-4a23-b736-c093abcf8621 · outbound
This paper cites Causality for nonlocal phenomena.
A singularity theorem in terms of asymptotic expansion Causality for nonlocal phenomena
Reference 17
- Resolution
- unresolved
- no resolver link, observed 2026-06-27T08:33:07.176771Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f793460a-8e29-42f1-b9cd-ff377c68c694 · outbound
This paper cites Galloway.
A singularity theorem in terms of asymptotic expansion Galloway
Reference 18
- Resolution
- unresolved
- no resolver link, observed 2026-06-27T08:33:07.176771Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8b6f1313-32fd-49de-986d-65363410e2cb · outbound
This paper cites Volume singularities in general relativity.Lett.
A singularity theorem in terms of asymptotic expansion Volume singularities in general relativity.Lett
Reference 19
- Resolution
- unresolved
- no resolver link, observed 2026-06-27T08:33:07.176771Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c5749d15-59d8-4d6e-a4bd-3bd5e3c1b9bb · outbound
This paper cites an unresolved cited work.
A singularity theorem in terms of asymptotic expansion Unresolved cited work
Reference 20
- Resolution
- unresolved
- no resolver link, observed 2026-06-27T08:33:07.176771Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 15d1cf38-9217-4320-b25d-cb89ff40ac69 · outbound
This paper cites an unresolved cited work.
A singularity theorem in terms of asymptotic expansion Unresolved cited work
Reference 21
- Resolution
- unresolved
- no resolver link, observed 2026-06-27T08:33:07.176771Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d7daf89e-7f89-45be-88a4-e780c146e1b5 · outbound
This paper cites an unresolved cited work.
A singularity theorem in terms of asymptotic expansion Unresolved cited work
Reference 22
- Resolution
- unresolved
- no resolver link, observed 2026-06-27T08:33:07.176771Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 53da6ded-e404-4f92-a7a3-4f667b37e05d · outbound
This paper cites On the existence of dual solutions for Lorentzian cost functions.Ann.
A singularity theorem in terms of asymptotic expansion On the existence of dual solutions for Lorentzian cost functions.Ann
Reference 23
- Resolution
- unresolved
- no resolver link, observed 2026-06-27T08:33:07.176771Z
Source-reported events for the cited work
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Observation b633b65c-f322-4dca-948f-376369b1b8c4 · outbound
This paper cites an unresolved cited work.
A singularity theorem in terms of asymptotic expansion Unresolved cited work
Reference 24
- Resolution
- unresolved
- no resolver link, observed 2026-06-27T08:33:07.176771Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a4bf5752-6063-496c-87c2-791863ee944b · outbound
This paper cites Lorentzian length spaces.Ann.
A singularity theorem in terms of asymptotic expansion Lorentzian length spaces.Ann
Reference 25
- Resolution
- unresolved
- no resolver link, observed 2026-06-27T08:33:07.176771Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1f2d4e64-27de-4a64-b1c9-78713aaeb923 · outbound
This paper cites an unresolved cited work.
A singularity theorem in terms of asymptotic expansion Unresolved cited work
Reference 26
- Resolution
- unresolved
- no resolver link, observed 2026-06-27T08:33:07.176771Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 49267626-36aa-4b55-a28a-ac4a5071e2ec · outbound
This paper cites Causality theory for closed cone structures with applica- tions.Rev.
A singularity theorem in terms of asymptotic expansion Causality theory for closed cone structures with applica- tions.Rev
Reference 27
- Resolution
- unresolved
- no resolver link, observed 2026-06-27T08:33:07.176771Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2d3fdaab-2822-4d76-82e9-5afc5d665f70 · outbound
This paper cites Lorentzian causality theory.Living Rev.
A singularity theorem in terms of asymptotic expansion Lorentzian causality theory.Living Rev
Reference 28
- Resolution
- unresolved
- no resolver link, observed 2026-06-27T08:33:07.176771Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 27638ba0-9727-440a-aa63-5ef7ecbda81a · outbound
This paper cites Further observations on the definition of global hyperbol- icity under low regularity.Classical Quantum Gravity, 40(18):Paper No.
A singularity theorem in terms of asymptotic expansion Further observations on the definition of global hyperbol- icity under low regularity.Classical Quantum Gravity, 40(18):Paper No
Reference 29
- Resolution
- unresolved
- no resolver link, observed 2026-06-27T08:33:07.176771Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 779a1390-6266-4df5-8bc8-431c6364e56a · outbound
This paper cites Lorentzian metric spaces and their Gromov-Hausdorff convergence.Lett.
A singularity theorem in terms of asymptotic expansion Lorentzian metric spaces and their Gromov-Hausdorff convergence.Lett
Reference 30
- Resolution
- unresolved
- no resolver link, observed 2026-06-27T08:33:07.176771Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 33d22a21-ddb2-4905-be82-483ccddf93c5 · outbound
This paper cites Stability of Synthetic Timelike Ricci Bounds under $C^0$-Limits and Applications to Impulsive Gravitational Waves.
A singularity theorem in terms of asymptotic expansion Stability of Synthetic Timelike Ricci Bounds under $C^0$-Limits and Applications to Impulsive Gravitational Waves
Reference 31
- Resolution
- verified exact
- local_arxiv, observed 2026-07-03T13:08:08.113561Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 172f32e0-dcb1-4d81-9695-f110384b8409 · outbound
This paper cites Lorentzian Gromov-Hausdorff convergence and pre-compactness.
A singularity theorem in terms of asymptotic expansion Lorentzian Gromov-Hausdorff convergence and pre-compactness
Reference 32
- Resolution
- metadata mismatch
- local_arxiv, observed 2026-07-03T13:08:08.105388Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 75392b36-b81a-43b2-8f23-6ddc571543ac · outbound
This paper cites An optimal transport formulation of the Einstein equations of general relativity.J.
A singularity theorem in terms of asymptotic expansion An optimal transport formulation of the Einstein equations of general relativity.J
Reference 33
- Resolution
- unresolved
- no resolver link, observed 2026-06-27T08:33:07.176771Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1c31e18f-f995-4394-b1bf-9b3f150fc026 · outbound
This paper cites Gravitational collapse and space-time singularities.Phys.
A singularity theorem in terms of asymptotic expansion Gravitational collapse and space-time singularities.Phys
Reference 34
- Resolution
- unresolved
- no resolver link, observed 2026-06-27T08:33:07.176771Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 24623bfb-3f60-422b-877d-89c70d7d5c65 · outbound
This paper cites an unresolved cited work.
A singularity theorem in terms of asymptotic expansion Unresolved cited work
Reference 35
- Resolution
- unresolved
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation fdc6a9ef-f06c-45cf-917c-78398634d1d8 · outbound
This paper cites Global hyperbolicity for spacetimes with continuous metrics.Ann.
A singularity theorem in terms of asymptotic expansion Global hyperbolicity for spacetimes with continuous metrics.Ann
Reference 36
- Resolution
- unresolved
- no resolver link, observed 2026-06-27T08:33:07.176771Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 878ef52a-1232-44ef-b4aa-4b58e552c3ba · outbound
This paper cites Theory of optimal transport for Lorentzian cost functions.
A singularity theorem in terms of asymptotic expansion Theory of optimal transport for Lorentzian cost functions
Reference 37
- Resolution
- unresolved
- no resolver link, observed 2026-06-27T08:33:07.176771Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2094ddb5-7988-40e0-98a5-c88d07517789 · outbound
This paper cites an unresolved cited work.
A singularity theorem in terms of asymptotic expansion Unresolved cited work
Reference 38
- Resolution
- unresolved
- no resolver link, observed 2026-06-27T08:33:07.176771Z
Source-reported events for the cited work
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Pith citing papers
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