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Paper Citation Record · LEDGER

Calculating Quasi-Normal Modes of Schwarzschild Black Holes with Physics Informed Neural Networks

As of 22 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 4 inbound Pith citation observations for arXiv:2401.01440.

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

pith.paper-citation-record.v1
2401.01440 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 2026-08-22T06:32:14.747728+00:00

measured 4 of 4 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-14T04:29:15.839735Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-02T04:26:36.237745Z

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 49d49310-dc4b-4103-84f4-da237f882de7 · inbound

Physics informed operator learning of parameter dependent spectra cites this paper.

Physics informed operator learning of parameter dependent spectra Calculating Quasi-Normal Modes of Schwarzschild Black Holes with Physics Informed Neural Networks

Reference 18

Resolution
verified exact
arxiv_id, observed 2026-05-11T21:26:14.562684Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-05-08T05:38:52.477973Z digest=sha256:a914f490c6f55f89c7aab81791b6e1e04c7bc67c8b902c10f93b1da6f8b2458b

Observation ae20b257-7d96-4079-9590-5b474e31bf21 · inbound

Odd-parity perturbations of trace-quadratic $f(R,T)$ black holes with anisotropic matter: admissible branches, axial ringdown, and a coupled-PINN benchmark cites this paper.

Odd-parity perturbations of trace-quadratic $f(R,T)$ black holes with anisotropic matter: admissible branches, axial ringdown, and a coupled-PINN benchmark Calculating Quasi-Normal Modes of Schwarzschild Black Holes with Physics Informed Neural Networks

Reference 41

Resolution
verified exact
arxiv_id, observed 2026-07-02T04:26:36.239234Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-06-28T09:04:01.263448Z digest=sha256:bf7b9562061d6ac7bb0ce646058e2e51c8c4f3e6fee0aa5881392cd62dc92fb9

Observation 875206f0-0fa0-458b-a5fe-433fc533e111 · inbound

Black Hole Black Boxes: Numerical Black Hole Metrics via AInstein Neural Networks cites this paper.

Black Hole Black Boxes: Numerical Black Hole Metrics via AInstein Neural Networks Calculating Quasi-Normal Modes of Schwarzschild Black Holes with Physics Informed Neural Networks

Reference 44

Resolution
unresolved
no resolver link, observed 2026-07-11T06:56:17.499687Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-11T06:56:17.499687Z digest=sha256:d22116e75cbf1370819554c366070e0009e0984ae08d6a364fa0ace9fa14cd9c

Observation d4925912-fe98-42b7-b561-0695647f9ede · inbound

Solving Einstein's Vacuum Equations with Physics-Informed Neural Networks: Boundary Conditions and Domain Decomposition cites this paper.

Solving Einstein's Vacuum Equations with Physics-Informed Neural Networks: Boundary Conditions and Domain Decomposition Calculating Quasi-Normal Modes of Schwarzschild Black Holes with Physics Informed Neural Networks

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-14T04:29:15.839735Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T04:29:15.839735Z digest=sha256:dd2201f97de2939fac099615348d7eb04b9927aefe58c4c336217bee2bf6bcb0