Paper Citation Record · LEDGER

Semi-Global Existence and Trapped Surface Formation for the Einstein-Vlasov System

As of 12 August 2026, this Paper Citation Record lists 29 of 29 outbound references and 1 inbound Pith citation observation for arXiv:2510.12429.

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

pith.paper-citation-record.v1
2510.12429 v2

Coverage vector

measured 29 of 29 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-04T10:01:19.354748Z

measured 30 of 30 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 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-11T11:47:16.452916Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-11T11:47:16.566358Z

Reference resolution

29 of 29 outbound references displayed

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verified fuzzy0
unresolved29
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External citation measurements

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Outbound references

Observation 4d761468-cd62-4ead-99b3-96e28c7b8454 · outbound

This paper cites An,A scale-critical trapped surface formation criterion: A new proof via signature for decay rates, Annals of PDE Vol.

Semi-Global Existence and Trapped Surface Formation for the Einstein-Vlasov System An,A scale-critical trapped surface formation criterion: A new proof via signature for decay rates, Annals of PDE Vol

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-04T10:01:15.972136Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d40cc3bf-5bad-43eb-bd6d-e48901bdbfb3 · outbound

This paper cites An.Emergence of apparent horizon in gravitational collapse, Annals of PDE Vol.

Semi-Global Existence and Trapped Surface Formation for the Einstein-Vlasov System An.Emergence of apparent horizon in gravitational collapse, Annals of PDE Vol

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-04T10:01:16.118845Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7e3ad224-615f-46af-9516-0fee4f53d47c · outbound

This paper cites Formation of Trapped Surfaces from Past Null Infinity.

Semi-Global Existence and Trapped Surface Formation for the Einstein-Vlasov System Formation of Trapped Surfaces from Past Null Infinity

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-04T10:01:16.221469Z

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Observation 83c07964-a1ce-446c-9aba-4528a9109d0f · outbound

This paper cites an unresolved cited work.

Semi-Global Existence and Trapped Surface Formation for the Einstein-Vlasov System Unresolved cited work

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-04T10:01:16.392515Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a5253e99-43b2-4127-8953-f4cf4355d2ff · outbound

This paper cites Stability of Big Bang singularity for the Einstein-Maxwell-scalar field-Vlasov system in the full strong sub-critical regime.

Semi-Global Existence and Trapped Surface Formation for the Einstein-Vlasov System Stability of Big Bang singularity for the Einstein-Maxwell-scalar field-Vlasov system in the full strong sub-critical regime

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-04T10:01:16.590498Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3502621a-d5f7-499a-905f-13beffce52f4 · outbound

This paper cites an unresolved cited work.

Semi-Global Existence and Trapped Surface Formation for the Einstein-Vlasov System Unresolved cited work

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-04T10:01:16.708211Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 08230557-f0fb-4b82-bfd5-055c2ed11722 · outbound

This paper cites Andersson, D.

Semi-Global Existence and Trapped Surface Formation for the Einstein-Vlasov System Andersson, D

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-04T10:01:16.815384Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 07565f75-9973-418a-af5b-4dd9ae3729eb · outbound

This paper cites Athanasiou, P.

Semi-Global Existence and Trapped Surface Formation for the Einstein-Vlasov System Athanasiou, P

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-04T10:01:16.920293Z

Source-reported events for the cited work

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Observation 70852b1a-beb3-4606-93ca-a8246d113492 · outbound

This paper cites Bigorgne, D.

Semi-Global Existence and Trapped Surface Formation for the Einstein-Vlasov System Bigorgne, D

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-04T10:01:16.969454Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 55cda670-4a02-480a-9ef2-107389cde2ef · outbound

This paper cites Christodoulou,Bounded variation solutions of the spherically symmetric Einstein-scalar field equa- tions, Communications in Pure and Applied Mathematics 46 (1993), 1131-1220.

Semi-Global Existence and Trapped Surface Formation for the Einstein-Vlasov System Christodoulou,Bounded variation solutions of the spherically symmetric Einstein-scalar field equa- tions, Communications in Pure and Applied Mathematics 46 (1993), 1131-1220

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-04T10:01:17.112351Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 80517cb7-85ff-4fd4-857e-1e060dbcec9f · outbound

This paper cites Christodoulou,Examples of naked singularity formation in the gravitational collapse of a scalar field, Annals of Mathematics 140, no.

Semi-Global Existence and Trapped Surface Formation for the Einstein-Vlasov System Christodoulou,Examples of naked singularity formation in the gravitational collapse of a scalar field, Annals of Mathematics 140, no

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-04T10:01:17.242117Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c1cafd27-0c3f-4530-bede-5c5279bcf2d4 · outbound

This paper cites Christodoulou,The formation of black holes and singularities in spherically symmetric gravitational collapse.

Semi-Global Existence and Trapped Surface Formation for the Einstein-Vlasov System Christodoulou,The formation of black holes and singularities in spherically symmetric gravitational collapse

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-04T10:01:17.316405Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ad1aea7c-13ab-40a7-b23e-addb84ae0263 · outbound

This paper cites Christodoulou,The formation of black holes in general relativity.

Semi-Global Existence and Trapped Surface Formation for the Einstein-Vlasov System Christodoulou,The formation of black holes in general relativity

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-04T10:01:17.410455Z

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Observation b7e50e71-cac2-436c-bea5-4e36b8b343ce · outbound

This paper cites Christodoulou,The instability of naked singularities in the gravitational collapse of a scalar field.

Semi-Global Existence and Trapped Surface Formation for the Einstein-Vlasov System Christodoulou,The instability of naked singularities in the gravitational collapse of a scalar field

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-04T10:01:17.618148Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ed5824b8-3ab5-48b2-9e94-37980ef66aca · outbound

This paper cites Christodoulou, S.

Semi-Global Existence and Trapped Surface Formation for the Einstein-Vlasov System Christodoulou, S

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-04T10:01:17.754505Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d7324e74-f937-4d3b-888f-1f02f3760554 · outbound

This paper cites Dafermos, A.D.

Semi-Global Existence and Trapped Surface Formation for the Einstein-Vlasov System Dafermos, A.D

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-04T10:01:17.911532Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ceb3ffee-f2b0-43a0-9eb0-bdd9634f7641 · outbound

This paper cites Dafermos, G.

Semi-Global Existence and Trapped Surface Formation for the Einstein-Vlasov System Dafermos, G

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-04T10:01:18.031861Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3c99138a-0447-491d-bdcd-13cd829dc521 · outbound

This paper cites Fajman, J.

Semi-Global Existence and Trapped Surface Formation for the Einstein-Vlasov System Fajman, J

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-04T10:01:18.178687Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 873dac45-be1b-4621-8239-0ae056d2d846 · outbound

This paper cites Klainerman, I.

Semi-Global Existence and Trapped Surface Formation for the Einstein-Vlasov System Klainerman, I

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-04T10:01:18.324302Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 63414ada-4055-4bfc-b371-c049468067c3 · outbound

This paper cites Lindblad, M.

Semi-Global Existence and Trapped Surface Formation for the Einstein-Vlasov System Lindblad, M

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-04T10:01:18.472402Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 28184dbf-a1a0-498a-887f-0ac9f27ec153 · outbound

This paper cites Luk, On the local existence for the characteristic initial value problem in general relativity,Interna- tional Mathematics Research Notices, vol.

Semi-Global Existence and Trapped Surface Formation for the Einstein-Vlasov System Luk, On the local existence for the characteristic initial value problem in general relativity,Interna- tional Mathematics Research Notices, vol

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-04T10:01:18.581181Z

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Unavailable: canonical work link unavailable.

Observation dcad3c59-42d4-44cd-ab4d-82f3590ab8b1 · outbound

This paper cites Mondal, S.T.

Semi-Global Existence and Trapped Surface Formation for the Einstein-Vlasov System Mondal, S.T

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-04T10:01:18.681701Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 461265a8-0122-467a-b6e2-0d820a492eea · outbound

This paper cites Penrose.Naked singularities.

Semi-Global Existence and Trapped Surface Formation for the Einstein-Vlasov System Penrose.Naked singularities

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-04T10:01:18.854801Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8b891e52-da78-49af-92e9-cb914eade265 · outbound

This paper cites Rein, A.D.

Semi-Global Existence and Trapped Surface Formation for the Einstein-Vlasov System Rein, A.D

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-04T10:01:19.026086Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b06fcb7e-36bf-47c6-9138-2167d58657c4 · outbound

This paper cites Rein, A.D.

Semi-Global Existence and Trapped Surface Formation for the Einstein-Vlasov System Rein, A.D

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-04T10:01:19.101004Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6dc68ce3-5dd8-4654-81bb-76a3e3ed7b7a · outbound

This paper cites Sbierski,TheC 0-inextendibility of the Schwarzschild spacetime and the spacelike diameter in Lorentzian geometry, Journal of Differential Geometry 108 (2018), 319-378.

Semi-Global Existence and Trapped Surface Formation for the Einstein-Vlasov System Sbierski,TheC 0-inextendibility of the Schwarzschild spacetime and the spacelike diameter in Lorentzian geometry, Journal of Differential Geometry 108 (2018), 319-378

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-04T10:01:19.144606Z

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Unavailable: canonical work link unavailable.

Observation 00413e84-7753-4148-a5e0-0b6bdbf5dd42 · outbound

This paper cites Taylor, The global nonlinear stability of Minkowski space for the massless Einstein–Vlasov system, An.

Semi-Global Existence and Trapped Surface Formation for the Einstein-Vlasov System Taylor, The global nonlinear stability of Minkowski space for the massless Einstein–Vlasov system, An

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-04T10:01:19.200132Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1ee5014d-5f38-45ec-81e2-aacac5cae271 · outbound

This paper cites Schoen, S.T.

Semi-Global Existence and Trapped Surface Formation for the Einstein-Vlasov System Schoen, S.T

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-04T10:01:19.281558Z

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Unavailable: canonical work link unavailable.

Observation ae138bee-a601-4df7-afc2-76449c19ef62 · outbound

This paper cites Yau,Geometry of three manifolds and existence of black hole due to boundary effect, Adv.

Semi-Global Existence and Trapped Surface Formation for the Einstein-Vlasov System Yau,Geometry of three manifolds and existence of black hole due to boundary effect, Adv

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-04T10:01:19.354748Z

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Unavailable: canonical work link unavailable.

Pith citing papers

Observation bc6c529b-662d-40b1-8eed-0b8d89cbbbd6 · inbound

Formation of trapped surfaces for the spherically symmetric Einstein-Yang-Mills system with non-trivial incoming data cites this paper.

Formation of trapped surfaces for the spherically symmetric Einstein-Yang-Mills system with non-trivial incoming data Semi-Global Existence and Trapped Surface Formation for the Einstein-Vlasov System

Reference 9

Resolution: verified exact; local_arxiv, observed 2026-08-11T11:47:16.570625Z

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.