Paper Citation Record · LEDGER

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

As of 12 August 2026, this Paper Citation Record lists 24 of 24 outbound references and 0 inbound Pith citation observations for arXiv:2608.09746.

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

pith.paper-citation-record.v1
2608.09746 v1

Coverage vector

measured 24 of 24 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T11:47:16.506330Z

measured 24 of 24 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 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

24 of 24 outbound references displayed

verified exact5
verified fuzzy14
unresolved5
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 579b5088-e6f9-4e16-a93d-8577154912d4 · outbound

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

Formation of trapped surfaces for the spherically symmetric Einstein-Yang-Mills system with non-trivial incoming data An,A scale-critical trapped surface formation criterion: A new proof via signature for decay rates, Annals of PDE Vol

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:47:16.803336Z

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.

Observation b4a813e7-1f14-4a93-83b6-9c5510fcf92b · outbound

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

Formation of trapped surfaces for the spherically symmetric Einstein-Yang-Mills system with non-trivial incoming data An.Emergence of apparent horizon in gravitational collapse, Annals of PDE Vol

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:47:16.793955Z

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.

Observation ed55b58e-a934-48a1-a437-fee0a2d81ce6 · outbound

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

Formation of trapped surfaces for the spherically symmetric Einstein-Yang-Mills system with non-trivial incoming data Formation of Trapped Surfaces from Past Null Infinity

Reference 3

Resolution: verified exact; local_arxiv, observed 2026-08-11T11:47:16.600761Z

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.

Observation 6b94453d-8d5d-4731-9448-3a55b6352ef8 · outbound

This paper cites an unresolved cited work.

Formation of trapped surfaces for the spherically symmetric Einstein-Yang-Mills system with non-trivial incoming data Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-11T11:47:16.783625Z

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.

Observation ebea4776-e06c-46d1-8827-c39c4d4172b8 · outbound

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

Formation of trapped surfaces for the spherically symmetric Einstein-Yang-Mills system with non-trivial incoming data Stability of Big Bang singularity for the Einstein-Maxwell-scalar field-Vlasov system in the full strong sub-critical regime

Reference 5

Resolution: verified exact; local_arxiv, observed 2026-08-11T11:47:16.585672Z

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.

Observation 1646f045-530c-401a-85ca-d01dce41d9da · outbound

This paper cites an unresolved cited work.

Formation of trapped surfaces for the spherically symmetric Einstein-Yang-Mills system with non-trivial incoming data Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-11T11:47:16.773273Z

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.

Observation 7f20807b-f7ec-4468-882f-c139736d3df9 · outbound

This paper cites Athanasiou, M.

Formation of trapped surfaces for the spherically symmetric Einstein-Yang-Mills system with non-trivial incoming data Athanasiou, M

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:47:16.763048Z

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.

Observation 24a76ef7-2d35-413a-9d19-9a835294bc9d · outbound

This paper cites Athanasiou, P.

Formation of trapped surfaces for the spherically symmetric Einstein-Yang-Mills system with non-trivial incoming data Athanasiou, P

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:47:16.752431Z

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.

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

This paper cites Semi-Global Existence and Trapped Surface Formation for the Einstein-Vlasov System.

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.

Observation 30c6a5b0-86da-42a0-a79c-f499c6683875 · outbound

This paper cites Bartnik, J.

Formation of trapped surfaces for the spherically symmetric Einstein-Yang-Mills system with non-trivial incoming data Bartnik, J

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:47:16.742071Z

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.

Observation 7cd25091-1fdb-489c-a74d-4e3095dadefd · outbound

This paper cites an unresolved cited work.

Formation of trapped surfaces for the spherically symmetric Einstein-Yang-Mills system with non-trivial incoming data Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-11T11:47:16.732348Z

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.

Observation 9ac82a0e-1340-44f0-b190-d10061257b63 · outbound

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

Formation of trapped surfaces for the spherically symmetric Einstein-Yang-Mills system with non-trivial incoming data Christodoulou,Bounded variation solutions of the spherically symmetric Einstein-scalar field equations, Communications in Pure and Applied Math- ematics 46 (1993), 1131-1220

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:47:16.722846Z

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.

Observation 2f0f9a6c-edcf-4f9d-84ff-d9d5d25d4718 · outbound

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

Formation of trapped surfaces for the spherically symmetric Einstein-Yang-Mills system with non-trivial incoming data Christodoulou,Examples of naked singularity formation in the gravi- tational collapse of a scalar field, Annals of Mathematics 140, no

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:47:16.712859Z

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.

Observation 417fe79c-3db1-4cd2-baa0-d7fc47f6538b · outbound

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

Formation of trapped surfaces for the spherically symmetric Einstein-Yang-Mills system with non-trivial incoming data Christodoulou,The formation of black holes and singularities in spheri- cally symmetric gravitational collapse

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:47:16.702783Z

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.

Observation 50faadec-041c-4921-b89d-e03067e36dd0 · outbound

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

Formation of trapped surfaces for the spherically symmetric Einstein-Yang-Mills system with non-trivial incoming data Christodoulou,The formation of black holes in general relativity

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:47:16.692417Z

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.

Observation 4f9c55a1-22c6-48f8-bd68-218966d46938 · outbound

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

Formation of trapped surfaces for the spherically symmetric Einstein-Yang-Mills system with non-trivial incoming data Christodoulou,The instability of naked singularities in the gravitational collapse of a scalar field

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:47:16.681012Z

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.

Observation e94ca982-9f63-4b60-940d-4424cd32933c · outbound

This paper cites Klainerman, I.

Formation of trapped surfaces for the spherically symmetric Einstein-Yang-Mills system with non-trivial incoming data Klainerman, I

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:47:16.670366Z

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.

Observation 7a88a18a-2a87-4383-9c0d-a94cd7b615ed · outbound

This paper cites Klainerman, J.

Formation of trapped surfaces for the spherically symmetric Einstein-Yang-Mills system with non-trivial incoming data Klainerman, J

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:47:16.659731Z

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.

Observation ff24118c-815a-4048-b3bb-6895d64d8dcf · outbound

This paper cites Extension principles for the Einstein Yang--Mills system.

Formation of trapped surfaces for the spherically symmetric Einstein-Yang-Mills system with non-trivial incoming data Extension principles for the Einstein Yang--Mills system

Reference 19

Resolution: verified exact; local_arxiv, observed 2026-08-11T11:47:16.556308Z

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.

Observation ea1456eb-44ea-4930-ae72-b6e1694cddf4 · outbound

This paper cites Mondal, S.T.

Formation of trapped surfaces for the spherically symmetric Einstein-Yang-Mills system with non-trivial incoming data Mondal, S.T

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:47:16.648578Z

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.

Observation 61ef40d5-c4e8-4a98-909a-1fbd34ab69ab · outbound

This paper cites Dynamical Formation of Black Holes due to Boundary Effect in Vacuum Gravity.

Formation of trapped surfaces for the spherically symmetric Einstein-Yang-Mills system with non-trivial incoming data Dynamical Formation of Black Holes due to Boundary Effect in Vacuum Gravity

Reference 21

Resolution: verified exact; local_arxiv, observed 2026-08-11T11:47:16.541941Z

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.

Observation 5d00477b-c081-400a-a709-862ae9367910 · outbound

This paper cites an unresolved cited work.

Formation of trapped surfaces for the spherically symmetric Einstein-Yang-Mills system with non-trivial incoming data Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-08-11T11:47:16.636801Z

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.

Observation 060487d5-dc1e-4ec6-9136-18c8ee4a81e4 · outbound

This paper cites an unresolved cited work.

Formation of trapped surfaces for the spherically symmetric Einstein-Yang-Mills system with non-trivial incoming data Unresolved cited work

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-08-11T11:47:16.622777Z

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.

Observation 407d648e-f43b-4a38-bc47-79965ae087fa · outbound

This paper cites Straumann, Z-H.

Formation of trapped surfaces for the spherically symmetric Einstein-Yang-Mills system with non-trivial incoming data Straumann, Z-H

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:47:16.612263Z

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.

Pith citing papers

No inbound Pith citation observations are available.