Pith. sign in

Paper Citation Record · LEDGER

Formation of Trapped Surfaces from Spacelike Initial Data

As of 15 August 2026, this Paper Citation Record lists 27 of 27 outbound references and 0 inbound Pith citation observations for arXiv:2607.11236.

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

pith.paper-citation-record.v1
2607.11236 v1

Coverage vector

measured 27 of 27 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-14T06:06:45.258408Z

measured 27 of 27 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+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

27 of 27 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved27
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 71f97f53-660c-4bd4-858e-d1e1bd8a07f3 · outbound

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

Formation of Trapped Surfaces from Spacelike Initial Data Formation of Trapped Surfaces from Past Null Infinity

Reference 1

Resolution
unresolved
no resolver link, observed 2026-07-14T06:06:45.258408Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-14T06:06:45.258408Z digest=sha256:b0ab541cb97d3802a47e44835ab3343e91c49d142373ee53f9cf76db0adf894f

Observation 791cab8f-6220-42e4-87a7-626128f11f19 · outbound

This paper cites An,A scale-critical trapped surface formation criterion: a new proof via signature for decay rates,Ann.

Formation of Trapped Surfaces from Spacelike Initial Data An,A scale-critical trapped surface formation criterion: a new proof via signature for decay rates,Ann

Reference 2

Resolution
unresolved
no resolver link, observed 2026-07-14T06:06:45.258408Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-14T06:06:45.258408Z digest=sha256:d611bb5a2e35b9c4eace65ae491856afe457dd6fb64d4a17f83b778ddbca208f

Observation 871c040a-6b0c-4488-b6c7-515b7031084b · outbound

This paper cites Anisotropic Dynamical Horizons Arising in Gravitational Collapse.

Formation of Trapped Surfaces from Spacelike Initial Data Anisotropic Dynamical Horizons Arising in Gravitational Collapse

Reference 3

Resolution
unresolved
no resolver link, observed 2026-07-14T06:06:45.258408Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-14T06:06:45.258408Z digest=sha256:8068dd750d1c5993f1e2742d121a461a3d575f608e4a27e3abe6f08273efb811

Observation f0d120cd-c94a-4a76-970c-e03046c1efe9 · outbound

This paper cites An and J.

Formation of Trapped Surfaces from Spacelike Initial Data An and J

Reference 4

Resolution
unresolved
no resolver link, observed 2026-07-14T06:06:45.258408Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-14T06:06:45.258408Z digest=sha256:6e9e5cf6658575fb6fc776d2298dc4d4f673bbd2d83fbcce5041941b7e7d1f5d

Observation b129f4df-b4f7-4e92-b0b7-29be5aeb9b88 · outbound

This paper cites Bieri and P.

Formation of Trapped Surfaces from Spacelike Initial Data Bieri and P

Reference 5

Resolution
unresolved
no resolver link, observed 2026-07-14T06:06:45.258408Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-14T06:06:45.258408Z digest=sha256:b38a753056e2be92a3579fef7b9dc8485479d2f2acd766ff1e8eaf9f580169c4

Observation 092dfb78-0e80-46d6-a2d0-d2ef3213a3d5 · outbound

This paper cites Chen,Gauge scalars for the Einstein constraint equations, in preparation.

Formation of Trapped Surfaces from Spacelike Initial Data Chen,Gauge scalars for the Einstein constraint equations, in preparation

Reference 6

Resolution
unresolved
no resolver link, observed 2026-07-14T06:06:45.258408Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-14T06:06:45.258408Z digest=sha256:bda0e303af7870bc6d041d0d1c9609298a1862d42a6ab081099b9a5be4b65322

Observation ea4c39e2-85dd-4126-bdd1-4b73be62ab6a · outbound

This paper cites Chen and S.

Formation of Trapped Surfaces from Spacelike Initial Data Chen and S

Reference 7

Resolution
unresolved
no resolver link, observed 2026-07-14T06:06:45.258408Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-14T06:06:45.258408Z digest=sha256:21c146c07044f229c2fea37be2bca625892cc9c80c7fd8649272e90a020715ce

Observation b3950eea-d3d6-47cd-beff-60706f139c61 · outbound

This paper cites Chen and S.

Formation of Trapped Surfaces from Spacelike Initial Data Chen and S

Reference 8

Resolution
unresolved
no resolver link, observed 2026-07-14T06:06:45.258408Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-14T06:06:45.258408Z digest=sha256:55245eccc2a1e4e2bf98ffcd9d3ac6fa9bf3a3efbdeb17874cf0031e33541870

Observation 18a732e7-2dcf-4010-96d8-26886b798706 · outbound

This paper cites Forward Construction of Vacuum Initial Data with Borderline Decay.

Formation of Trapped Surfaces from Spacelike Initial Data Forward Construction of Vacuum Initial Data with Borderline Decay

Reference 9

Resolution
unresolved
no resolver link, observed 2026-07-14T06:06:45.258408Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-14T06:06:45.258408Z digest=sha256:b3bc77cb1bd59e231ee6543ef55129b7a7207f3e081316f7757e40c67c1a317d

Observation 021a2f18-e973-4a2d-b8b0-ad4a14c12774 · outbound

This paper cites Christodoulou,The formation of Black Holes in General Relativity, EMS Monographs in Mathematics, 2009.

Formation of Trapped Surfaces from Spacelike Initial Data Christodoulou,The formation of Black Holes in General Relativity, EMS Monographs in Mathematics, 2009

Reference 10

Resolution
unresolved
no resolver link, observed 2026-07-14T06:06:45.258408Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-14T06:06:45.258408Z digest=sha256:561604aa05df9335fe6ce06857cf857d6291ad18dd4c5a205dfc9a5440306b80

Observation 01a91eb9-90a7-42b9-a71a-995be292dcca · outbound

This paper cites Christodoulou and S.

Formation of Trapped Surfaces from Spacelike Initial Data Christodoulou and S

Reference 11

Resolution
unresolved
no resolver link, observed 2026-07-14T06:06:45.258408Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-14T06:06:45.258408Z digest=sha256:6abfecd7d615cfc42b1d35ea926c0056c007977650c2a418259f01136d27ab90

Observation e15338d7-0443-45b4-af46-05577d2fbf34 · outbound

This paper cites an unresolved cited work.

Formation of Trapped Surfaces from Spacelike Initial Data Unresolved cited work

Reference 12

Resolution
unresolved
no resolver link, observed 2026-07-14T06:06:45.258408Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-14T06:06:45.258408Z digest=sha256:6ff91fe24491007555210f68db4ca1a9e04d788e1d9a996b305be3fb88362153

Observation 47065cd9-2f4b-46ef-afc7-6175866b0f46 · outbound

This paper cites Corvino,Scalar curvature deformation and a gluing construction for the Einstein constraint equations,Comm.

Formation of Trapped Surfaces from Spacelike Initial Data Corvino,Scalar curvature deformation and a gluing construction for the Einstein constraint equations,Comm

Reference 13

Resolution
unresolved
no resolver link, observed 2026-07-14T06:06:45.258408Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-14T06:06:45.258408Z digest=sha256:caa35d431150dbb2f12c1a9aa3e02d0a3c465f0f645e1d6877b524d74a8c9661

Observation d5a23559-9082-4761-87a2-0d489ad9ba53 · outbound

This paper cites Corvino and R.

Formation of Trapped Surfaces from Spacelike Initial Data Corvino and R

Reference 14

Resolution
unresolved
no resolver link, observed 2026-07-14T06:06:45.258408Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-14T06:06:45.258408Z digest=sha256:8fc2b55d373949141ef36e04815ae8eac8ecbcb6b0b40d9d5af2c57fa4bcc691

Observation 795c4136-2da9-4efc-9a6e-c3aee8090339 · outbound

This paper cites Giorgi, D.

Formation of Trapped Surfaces from Spacelike Initial Data Giorgi, D

Reference 15

Resolution
unresolved
no resolver link, observed 2026-07-14T06:06:45.258408Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-14T06:06:45.258408Z digest=sha256:4fc1ab2c1df53ab0457400d19c1d8c4f0ca13ab5f7734b358f4faa0ae38b79b1

Observation 2732e82c-537e-4083-82c1-401229f2321d · outbound

This paper cites Klainerman, J.

Formation of Trapped Surfaces from Spacelike Initial Data Klainerman, J

Reference 16

Resolution
unresolved
no resolver link, observed 2026-07-14T06:06:45.258408Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-14T06:06:45.258408Z digest=sha256:662cbb8527c6f0c0cfc007c73bb356587012abbf74dd07472007e83be7500e7f

Observation dd7532b2-2690-4a74-94a5-dee4388a2b63 · outbound

This paper cites Klainerman and I.

Formation of Trapped Surfaces from Spacelike Initial Data Klainerman and I

Reference 17

Resolution
unresolved
no resolver link, observed 2026-07-14T06:06:45.258408Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-14T06:06:45.258408Z digest=sha256:247fcc57040dc95e4c1810a92999d4bb4157ec10abe664917419763010eb4bac

Observation 3829fef5-3efa-4b28-98b8-dd8a895c45fd · outbound

This paper cites Klainerman and I.

Formation of Trapped Surfaces from Spacelike Initial Data Klainerman and I

Reference 18

Resolution
unresolved
no resolver link, observed 2026-07-14T06:06:45.258408Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-14T06:06:45.258408Z digest=sha256:f20d233082b6d3fa61478d3d72ae18eb6768e2a7d73ba14fd08e48d600b22076

Observation 0387d1d9-c8ed-4ad2-a772-d2d72512c61e · outbound

This paper cites Li and H.

Formation of Trapped Surfaces from Spacelike Initial Data Li and H

Reference 19

Resolution
unresolved
no resolver link, observed 2026-07-14T06:06:45.258408Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-14T06:06:45.258408Z digest=sha256:c5346ed2937ba9d4321b2ac869c1179c1df00e5d02665891b3c253cd8fc4dc00

Observation bb129814-efae-471e-b910-ebd56e24e3de · outbound

This paper cites Li and P.

Formation of Trapped Surfaces from Spacelike Initial Data Li and P

Reference 20

Resolution
unresolved
no resolver link, observed 2026-07-14T06:06:45.258408Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-14T06:06:45.258408Z digest=sha256:bdc10c33d4fcf58864e8388aaeb319c5f8d2e27f15b12e7b2a3f51a18d6db6d7

Observation 5c54d2e0-a3aa-48f7-91d0-33f532cb052f · outbound

This paper cites Luk and I.

Formation of Trapped Surfaces from Spacelike Initial Data Luk and I

Reference 21

Resolution
unresolved
no resolver link, observed 2026-07-14T06:06:45.258408Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-14T06:06:45.258408Z digest=sha256:1fa4e9012bd2117a78b3dc82a43f86a91cf4b103a5c9fbdb40cb615f5861026e

Observation 9c2f0371-9df4-4456-afad-a2d2072b4bc1 · outbound

This paper cites Luk and I.

Formation of Trapped Surfaces from Spacelike Initial Data Luk and I

Reference 22

Resolution
unresolved
no resolver link, observed 2026-07-14T06:06:45.258408Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-14T06:06:45.258408Z digest=sha256:16bef939dcbef2eec9fb82aad18ebe072d83fad013ffb4de7a7cb4bb5fdd3541

Observation 85e1d061-2ecc-4cec-9a8d-a5be4b083a0d · outbound

This paper cites Initial data gluing in the asymptotically flat regime via solution operators with prescribed support properties.

Formation of Trapped Surfaces from Spacelike Initial Data Initial data gluing in the asymptotically flat regime via solution operators with prescribed support properties

Reference 23

Resolution
unresolved
no resolver link, observed 2026-07-14T06:06:45.258408Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-14T06:06:45.258408Z digest=sha256:cdb76c9a5ecc4be6f50ad1b4a8631d89424150905c7bcb8cbe2cb716bd99e0b0

Observation 91f99744-da9e-4f10-8bbf-1e70cc382c4a · outbound

This paper cites Global stability of Minkowski spacetime with minimal decay.

Formation of Trapped Surfaces from Spacelike Initial Data Global stability of Minkowski spacetime with minimal decay

Reference 24

Resolution
unresolved
no resolver link, observed 2026-07-14T06:06:45.258408Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-14T06:06:45.258408Z digest=sha256:52d5b158997504aac69f8782459a68329e915f5c121219913eb9f45a95f6512c

Observation 6c16dbac-c835-44fc-a602-491c0d4e371b · outbound

This paper cites Shen, Exterior stability of Minkowski spacetime with borderline decay,Ann.

Formation of Trapped Surfaces from Spacelike Initial Data Shen, Exterior stability of Minkowski spacetime with borderline decay,Ann

Reference 25

Resolution
unresolved
no resolver link, observed 2026-07-14T06:06:45.258408Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-14T06:06:45.258408Z digest=sha256:7e717be57f12e92549afce8ceb2452b09e38a18acaacd5562df1608a09d1b79f

Observation cb353e5a-7f7d-4ab3-8f35-42773621fe84 · outbound

This paper cites Formation of multiple Black Holes from Cauchy data.

Formation of Trapped Surfaces from Spacelike Initial Data Formation of multiple Black Holes from Cauchy data

Reference 26

Resolution
unresolved
no resolver link, observed 2026-07-14T06:06:45.258408Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-14T06:06:45.258408Z digest=sha256:9661141716caaf6cff228d613001ecb6f015af31d14feea25b312ed3a1da46d6

Observation eafdcb1a-6f8b-4fe5-b5f7-02a2497eaa67 · outbound

This paper cites Shen and J.

Formation of Trapped Surfaces from Spacelike Initial Data Shen and J

Reference 27

Resolution
unresolved
no resolver link, observed 2026-07-14T06:06:45.258408Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-14T06:06:45.258408Z digest=sha256:0fbfcd3ec9b2a12963afb558cf3e9fc564a901e346ecc5d778c147f41384cb88

Pith citing papers

No inbound Pith citation observations are available.