Pith. sign in

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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T11:47:16.422043Z digest=sha256:abf39e2fd4ee662bc1110e0d6991e93983ad445e60ae15f5b655c2537fc28cdf

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T11:47:16.426473Z digest=sha256:70d4940d92e52dd8cb74c0b7cc798ac6ac0dd9487a10c2a166321b197ec8dc4c

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T11:47:16.430317Z digest=sha256:8dd3e54cc076e58883d65d42668372b7c442cde14d40ee01c68668b2688022fd

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T11:47:16.434549Z digest=sha256:2ac4f5649b8a93f74cae5873735556114c942a24b0a0b74d8b65a4fd3d905e13

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T11:47:16.438524Z digest=sha256:fe87e896ecb26c022fac17c53b28f93aa8a56f3ee79b173ac897c85719c9750b

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T11:47:16.442338Z digest=sha256:9d347353c03d342f063fb1c977956b1473c73759f8b13024be427da78504149c

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T11:47:16.445736Z digest=sha256:a043bde01bac742d4eb085c691a4f8c425e3221fbafc92fd09ca0cc5336973d4

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T11:47:16.449374Z digest=sha256:4d60125955514621091fbd0d7dbf136801e75f2406e7241aa45008a116b8500e

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T11:47:16.452916Z digest=sha256:b2f79ebb782f7bcc062e6ad07fac681757f72f180aa1deac3d766a162b340661

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T11:47:16.456597Z digest=sha256:5622678181d38e2facb3d80e2d33ce6798b60c90d9a2f77fa6cb5fb72a3b9e8c

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T11:47:16.459998Z digest=sha256:e8afe1aed9557e28d85257c42fe027e2c5f221281371a8f21537d16c51377125

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T11:47:16.463761Z digest=sha256:aef6bc041e93e826d5f2f4e5adb98c8b5bf5111401675960dc7897aecafe1102

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T11:47:16.467233Z digest=sha256:0c0565863ac4d00a19b1bbcd254f4615ebfd9722ad2ccb902d134262e5e9f2c6

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T11:47:16.471084Z digest=sha256:6610857e301aef0c7b5c41a7abf94b16352bed49a704566e8b290f80d177c331

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T11:47:16.474563Z digest=sha256:d27fd19d0e5147bb8310fe297b6142eb83831eac77c15ffcb7fd04bae31bb325

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T11:47:16.478085Z digest=sha256:69d9f5ae1e669b72e60190b9da4b28690bebb0a210a281c287ac947739da2ec1

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T11:47:16.481590Z digest=sha256:ae192a0ae751fb0fe5d5cf489c804fc05a774628334bcd10ebfaee8a59f90518

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T11:47:16.485025Z digest=sha256:ef795230eb0158863bfd0b6c2fb3c6583f86f6835ff2c1551d0f9675ba91cc00

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T11:47:16.488581Z digest=sha256:9844baaa0ed3970eb768166d36336996e45f42a3042682ec6a8f9a0384477d3d

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T11:47:16.492609Z digest=sha256:186ad0d1d0689c8b3a052cfac615faf2409ccca1146ffd7ebf7473fe06759377

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T11:47:16.495884Z digest=sha256:c5615619f802ea0386a96a3a4626548a320bb0a3f18a1f1bdb04c45d94673a5c

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T11:47:16.499725Z digest=sha256:70f53ebced02316c5314fef3010d8d89b2a9e2ce9b8097b8553390d14417f3ca

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T11:47:16.503066Z digest=sha256:648f48173ee0919861b81d908ea9a7fec11d1743fd0c9dad9196489fa9606d4b

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T11:47:16.506330Z digest=sha256:14727ab1b8f57cb2f366d37301ee310802a5aea25a5c19f68da6c29e2bfd458d

Pith citing papers

No inbound Pith citation observations are available.