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Paper Citation Record · LEDGER

Universality of curvature invariants in critical vacuum gravitational collapse

As of 13 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 2026-08-13T06:32:02.005865+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=sha256:161438422192bd7f6c26dc741b4d3071689c2a0f3cc215325e707b9c1b80433d

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-06-29T01:48:22.141372Z digest=sha256:0a38994a05790031f5b25fd6cc2e61587b7777854102393bec0dafdac71f2c7d

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=sha256:16db9e9fd1e69ac27f791c2551a847dc9d2f6f42885b815715e763f9e91cc37a