Pith. sign in

Paper Citation Record · LEDGER

Formation of Trapped Surfaces from Spacelike Initial Data

As of 11 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 2026-08-11T06:34:44.6726+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

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=sha256:5068da5eaae959475f9ca63fb2613942a5b903683f0143bd619571520d21e42d

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=sha256:2a1134b5624d20d0dedd3d19063be6c20917d8c115ed2f35f1721a0c83f95d3d

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=sha256:6f703f4273451a34481e389445e211ec0837662ff4bc9697bf5e647a00ffa686

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=sha256:3865beeff31a2f209fde6e44d693806bc14cc49b0bfe6e59a61a757ac546013a

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:d1a429900c9394caeb690e10502cf99f67c20c9c80f75c61ffedd8aa79bcc12a

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=sha256:379e29204e4c0062ba4efb0f1852bc4e3f2ebc4525d3467962a070982ce95718

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:fb0572c50e5fd83b787598c797f990a2bb92844495bf9423e9a74485db518665

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=sha256:04e9e428c04b61b9387142c7a47f56472328d7bf2c91e36130c7118ed4e04a56

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=sha256:75d8006bab1e4a4d34ca2bc7c1b3a36fd481f736447e2d9dda858adb4fe7bdbc

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:c31c431ff46c338305e88408f54b9e04ca88d597d52c5a53ae7ac9ed37534275

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=sha256:1e98d0c895c6093b1a67e9c9fc17e1b590efda9d948623d290e759c2890f1459

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=sha256:80ea48f8f35e5251d24a610a1deeea7b841150e10b0e5e43c53255797ced8e06

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:d786680219d92da2c68cad219f1004774072c27055afd5037e7d723e1a169ffa

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:c1e6922962062740158b734ed1fa2d991def3197d9a8c17fb81798d5b5d298ef

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:c271f2493b411d434685e6f5a94f356d4682ebd2aec8b5d03e44c7a7c11a65f3

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:ed847d78360a46d6541c56b3958b68741450e9b6363ffc3b323c3b4b26c6f7c0

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=sha256:9ab52791e24b51b6cc2a958c807c3117129da556b244914c436fc1fa1cb92fc2

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:d97746f952f6b192f60ffc3a50bcb52b8e76949b6571d6e99dd9a135e27f570c

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=sha256:26f8cefd09501d4f0638bc7249a96827efd188e4e7f77e565de8f938cfb6b3a3

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=sha256:10f25d76b04c134c298665631f0a2f6b4ff36e4fac6dd1f7e1ebb87333555adf

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=sha256:3a8e0682f9c3773f01d7257c2ad1b6b3012b6d9359d65a2edd1675a64062430b

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=sha256:645418acad7865ca3d60b943247ccc03561afaa1ae9b9409e038cb028c1f8ecb

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=sha256:4313aac23d3be977fde6f6c2b58bed0f4c0972665022a1b56e2370a4dcce8aef

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=sha256:6ca1ca7dd290e7b6c2d327a349835607c1e4f665713cfc68ce727e4af06fe48b

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=sha256:5f5c00cc4ded1d9ee727966950c876eee8fd75831dff2464b0e2bf8636782977

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:bbdcb9039360e3f136c5671bbc24047e85255c60703ef449b3744103c7cd1fc0

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:bb6b93155cfd98317679758f19c3237e23e5119a5948f85cb40f6afa66408d8c

Pith citing papers

No inbound Pith citation observations are available.