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Paper Citation Record · LEDGER

Formulations of the 3+1 evolution equations in curvilinear coordinates

As of 13 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 4 inbound Pith citation observations for arXiv:1010.4013.

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

pith.paper-citation-record.v1
1010.4013 v1

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 4 of 4 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 4 of 4 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-12T21:14:02.993679Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-07-04T13:49:51.744672Z

Reference resolution

0 of 0 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved0
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

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 eb39384c-6368-46c8-bd9c-5ce6db34ea59 · inbound

Proca stars in excited states cites this paper.

Proca stars in excited states Formulations of the 3+1 evolution equations in curvilinear coordinates

Reference 33

Resolution
unresolved
no resolver link, observed 2026-08-12T21:14:02.993679Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T21:14:02.993679Z digest=sha256:65d655fc29dc75233139ce0c5b022a2cb2359671033a52c47dca5bafcd0c326a

Observation 1d7ec41a-571d-431a-8207-fcae6a224c84 · inbound

Reducing the irreducible: the charged black hole bomb in a moving cavity cites this paper.

Reducing the irreducible: the charged black hole bomb in a moving cavity Formulations of the 3+1 evolution equations in curvilinear coordinates

Reference 21

Resolution
unresolved
no resolver link, observed 2026-08-07T06:01:36.654371Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T06:01:36.654371Z digest=sha256:9dd55dee4326fdd15f3a37f555facebd32cf278d70dc8000c57aae9190233eb6

Observation 1edb3025-6083-417c-98a4-a4b84bf0dd34 · inbound

Primordial black hole formation in bulk-viscous cosmology cites this paper.

Primordial black hole formation in bulk-viscous cosmology Formulations of the 3+1 evolution equations in curvilinear coordinates

Reference 84

Resolution
verified exact
local_arxiv, observed 2026-07-04T13:49:51.746011Z

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=2026-06-26T04:53:04.705975Z digest=sha256:8a1077b71e1f76327940b4ee482d7bc5f5f8e36158393d9a510a06d8b4354251

Observation 6709d949-e415-42c6-9980-95452bf13dd9 · inbound

Primordial black holes forming during kination: the trapped, the overdense, and the void cites this paper.

Primordial black holes forming during kination: the trapped, the overdense, and the void Formulations of the 3+1 evolution equations in curvilinear coordinates

Reference 93

Resolution
unresolved
no resolver link, observed 2026-08-01T09:55:51.958795Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T09:55:51.958795Z digest=sha256:bcd264cc0bd4205880c9b53a97af01af9976c67b20940c5c4dd3e9c25bf13103