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Paper Citation Record · LEDGER

Perturbations of Schwarzschild black holes in the Lorenz gauge: Formulation and numerical implementation

As of 8 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 4 inbound Pith citation observations for arXiv:gr-qc/0510019.

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

pith.paper-citation-record.v1
gr-qc/0510019 v2

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 2026-08-08T06:32:00.761636+00:00

measured 4 of 4 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T06:05:54.525075Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-07-03T02:57:35.498379Z

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 84399d1f-24e6-4ef1-90a3-b241af5ce7c1 · inbound

Black-hole hair from vector dark matter accretion cites this paper.

Black-hole hair from vector dark matter accretion Perturbations of Schwarzschild black holes in the Lorenz gauge: Formulation and numerical implementation

Reference 56

Resolution
unresolved
no resolver link, observed 2026-08-07T06:05:54.525075Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T06:05:54.525075Z digest=sha256:f78a1484bc2e44fcb46f2df44567d4dca3a65fbcb778a878dc137aae4bdf35cd

Observation 709c7aed-870b-49ea-bed8-de2681b12332 · inbound

Extreme mass-ratio inspiral within an ultralight scalar cloud I. Scalar radiation cites this paper.

Extreme mass-ratio inspiral within an ultralight scalar cloud I. Scalar radiation Perturbations of Schwarzschild black holes in the Lorenz gauge: Formulation and numerical implementation

Reference 88

Resolution
unresolved
no resolver link, observed 2026-08-06T21:02:47.576130Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T21:02:47.576130Z digest=sha256:f3f0cf137ef67f5dcf35dfc159da23dfd24d2de845764277a06ab9ccd190b17b

Observation f80346f4-dfd3-4f71-9b48-ac49d6b6dca6 · inbound

Metric Reconstruction for Generic Black-Hole Perturbations cites this paper.

Metric Reconstruction for Generic Black-Hole Perturbations Perturbations of Schwarzschild black holes in the Lorenz gauge: Formulation and numerical implementation

Reference 61

Resolution
verified exact
arxiv_id, observed 2026-05-13T03:27:11.736283Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-13T03:23:04.483342Z digest=sha256:161fe10a8a3d4e370e6bbcf45cda2ac4609e756b09c9f0a4d5ee4694d54c3bb1

Observation 0a11244a-764a-4b29-a012-2c7b58f6e832 · inbound

Modified Teukolsky Formalism for Extreme Mass-Ratio Inspirals in Higher-Derivative Gravity cites this paper.

Modified Teukolsky Formalism for Extreme Mass-Ratio Inspirals in Higher-Derivative Gravity Perturbations of Schwarzschild black holes in the Lorenz gauge: Formulation and numerical implementation

Reference 35

Resolution
verified exact
local_arxiv, observed 2026-07-03T02:57:35.499594Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-06-27T15:39:20.928032Z digest=sha256:4157f24525f86500b0a5dc9a1ff9224877f7a91ee13e816c6c3d06c3503294ba