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Paper Citation Record · LEDGER

Universality of curvature invariants in critical vacuum gravitational collapse

As of 23 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 3 inbound Pith citation observations for arXiv:2102.09579.

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

pith.paper-citation-record.v1
2102.09579 v2

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 3 of 3 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-23T06:30:58.430688+00:00

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-12T21:02:02.704878Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-01T18:45:58.418362Z

Reference resolution

0 of 0 outbound references displayed

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External citation measurements

No source-named external measurement is stored.

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation e89cee6e-d0a2-4d84-84ac-096bf680ab9a · inbound

Angle of Null Energy Condition Lines in Critical Spacetimes cites this paper.

Angle of Null Energy Condition Lines in Critical Spacetimes Universality of curvature invariants in critical vacuum gravitational collapse

Reference 36

Resolution
unresolved
no resolver link, observed 2026-08-12T21:02:02.704878Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T21:02:02.704878Z digest=sha256:73694b0298cef80ab8817c306fba4a0572dc8fd709a0003de6d1e1b5a3a817bb

Observation cbb76ca8-228b-4396-9917-d8e4ae1d8e7a · inbound

Critical collapse of vacuum spacetimes: Nakamura wave initial data cites this paper.

Critical collapse of vacuum spacetimes: Nakamura wave initial data Universality of curvature invariants in critical vacuum gravitational collapse

Reference 34

Resolution
verified exact
arxiv_id, observed 2026-07-01T18:45:58.419722Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-06-29T01:48:22.141372Z digest=sha256:24e325536b08632006d1499a0801c1446c2d0f161b24a16a1eace29a636924ff

Observation 17aa9b64-68ad-46bd-b119-136fd0c91184 · inbound

Comparing twist-free axisymmetric gravitational waves near the black hole threshold cites this paper.

Comparing twist-free axisymmetric gravitational waves near the black hole threshold Universality of curvature invariants in critical vacuum gravitational collapse

Reference 9

Resolution
unresolved
no resolver link, observed 2026-07-14T08:51:36.366906Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-14T08:51:36.366906Z digest=sha256:71b0bbe0ca36f0bd6e009bbc41fe3165265002495db9b13d1e7c6aaa895cdf7b