Paper Citation Record · LEDGER

Forward Construction of Vacuum Initial Data with Borderline Decay

As of 11 August 2026, this Paper Citation Record lists 18 of 18 outbound references and 1 inbound Pith citation observation for arXiv:2606.08716.

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

pith.paper-citation-record.v1
2606.08716 v1

Coverage vector

measured 18 of 18 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-27T17:54:36.107434Z

measured 19 of 19 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 2026-07-14T06:06:45.258408Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

18 of 18 outbound references displayed

verified exact4
verified fuzzy0
unresolved14
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation e2ba29ee-060e-4ceb-8b02-d6326f737a13 · outbound

This paper cites Chaljub-Simon and Y.

Forward Construction of Vacuum Initial Data with Borderline Decay Chaljub-Simon and Y

Reference 1

Resolution: unresolved; no resolver link, observed 2026-06-27T17:54:36.107434Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fa6d90f2-be25-4765-a504-9370205c602c · outbound

This paper cites Chen and S.

Forward Construction of Vacuum Initial Data with Borderline Decay Chen and S

Reference 2

Resolution: verified exact; arxiv_id, observed 2026-07-02T23:47:27.644642Z

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 8c674ce9-3eec-4df8-9fb0-2c48a8adc86b · outbound

This paper cites Chen and S.

Forward Construction of Vacuum Initial Data with Borderline Decay Chen and S

Reference 3

Resolution: unresolved; no resolver link, observed 2026-06-27T17:54:36.107434Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ef77322c-45d0-4d1e-9485-5eef930223a0 · outbound

This paper cites Chen and S.

Forward Construction of Vacuum Initial Data with Borderline Decay Chen and S

Reference 4

Resolution: unresolved; no resolver link, observed 2026-06-27T17:54:36.107434Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 48f8ce62-b372-4b00-9ff0-8bac7aefa9dc · outbound

This paper cites Choquet-Bruhat and D.

Forward Construction of Vacuum Initial Data with Borderline Decay Choquet-Bruhat and D

Reference 5

Resolution: unresolved; no resolver link, observed 2026-06-27T17:54:36.107434Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ba0c4568-8d99-4be4-8b11-478ed97ebb04 · outbound

This paper cites Christodoulou and S.

Forward Construction of Vacuum Initial Data with Borderline Decay Christodoulou and S

Reference 6

Resolution: unresolved; no resolver link, observed 2026-06-27T17:54:36.107434Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8dbbae9b-363a-4195-ae16-252ba129cb1b · outbound

This paper cites an unresolved cited work.

Forward Construction of Vacuum Initial Data with Borderline Decay Unresolved cited work

Reference 7

Resolution: unresolved; no resolver link, observed 2026-06-27T17:54:36.107434Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 41680a6f-368e-404b-972e-d08d28a884e8 · outbound

This paper cites an unresolved cited work.

Forward Construction of Vacuum Initial Data with Borderline Decay Unresolved cited work

Reference 8

Resolution: unresolved; no resolver link, observed 2026-06-27T17:54:36.107434Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0e8e4317-f140-4ae3-87ac-e9d3da82f52b · outbound

This paper cites Giorgi, S.

Forward Construction of Vacuum Initial Data with Borderline Decay Giorgi, S

Reference 9

Resolution: unresolved; no resolver link, observed 2026-06-27T17:54:36.107434Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8105951e-602e-47d4-a052-e17036e2d038 · outbound

This paper cites Klainerman and J.

Forward Construction of Vacuum Initial Data with Borderline Decay Klainerman and J

Reference 10

Resolution: unresolved; no resolver link, observed 2026-06-27T17:54:36.107434Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 240ec994-9d13-4c87-b1f8-268aa92d8efa · outbound

This paper cites Klainerman and J.

Forward Construction of Vacuum Initial Data with Borderline Decay Klainerman and J

Reference 11

Resolution: unresolved; no resolver link, observed 2026-06-27T17:54:36.107434Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0490816f-4915-4433-847d-d21221618be4 · outbound

This paper cites Klainerman and J.

Forward Construction of Vacuum Initial Data with Borderline Decay Klainerman and J

Reference 12

Resolution: unresolved; no resolver link, observed 2026-06-27T17:54:36.107434Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 164fa0b0-7a4e-47c8-aa1d-2149370360b1 · outbound

This paper cites Li and P.

Forward Construction of Vacuum Initial Data with Borderline Decay Li and P

Reference 13

Resolution: unresolved; no resolver link, observed 2026-06-27T17:54:36.107434Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 07a82aea-697c-4a30-acb4-06ed80798530 · outbound

This paper cites Localized initial data for Einstein equations.

Forward Construction of Vacuum Initial Data with Borderline Decay Localized initial data for Einstein equations

Reference 14

Resolution: verified exact; arxiv_id, observed 2026-07-02T23:47:27.647388Z

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 6d21af39-c667-4ddb-a4e0-e6cd9366bab2 · outbound

This paper cites Shen,Construction of GCM hypersurfaces in perturbations of Kerr,Ann.

Forward Construction of Vacuum Initial Data with Borderline Decay Shen,Construction of GCM hypersurfaces in perturbations of Kerr,Ann

Reference 15

Resolution: unresolved; no resolver link, observed 2026-06-27T17:54:36.107434Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 16065035-80cf-42bf-a610-3a55f9c9fc67 · outbound

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

Forward Construction of Vacuum Initial Data with Borderline Decay Global stability of Minkowski spacetime with minimal decay

Reference 16

Resolution: verified exact; arxiv_id, observed 2026-07-02T23:47:27.646551Z

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 dfe63499-b2bb-4073-b9ca-9fca1ed0c216 · outbound

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

Forward Construction of Vacuum Initial Data with Borderline Decay Shen, Exterior stability of Minkowski spacetime with borderline decay,Ann

Reference 17

Resolution: unresolved; no resolver link, observed 2026-06-27T17:54:36.107434Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2565fba5-236e-48ac-b136-daedaba61220 · outbound

This paper cites Shen and J.

Forward Construction of Vacuum Initial Data with Borderline Decay Shen and J

Reference 18

Resolution: verified exact; arxiv_id, observed 2026-07-02T23:47:27.643829Z

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

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

Formation of Trapped Surfaces from Spacelike Initial Data cites this paper.

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.