Pith. sign in

Paper Citation Record · LEDGER

Connection between black-hole quasinormal modes and lensing in the strong deflection limit

As of 22 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 15 inbound Pith citation observations for arXiv:1003.1609.

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

pith.paper-citation-record.v1
1003.1609 v3

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 15 of 15 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 15 of 15 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-14T11:13:25.958168Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-07-09T09:36:09.150579Z

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 15b87372-0ba0-46ce-9e6a-f599131044c1 · inbound

Photon orbits and phase transitions in Born-Infeld-dilaton black holes cites this paper.

Photon orbits and phase transitions in Born-Infeld-dilaton black holes Connection between black-hole quasinormal modes and lensing in the strong deflection limit

Reference 42

Resolution
unresolved
no resolver link, observed 2026-08-14T11:13:25.958168Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T11:13:25.958168Z digest=sha256:3ab7bbefb0dd0104f0aa74b77da727d02e86ce2d48f64faf2f9c0f48598d0c53

Observation c1386ef9-abf5-4c21-bccc-8e018115e87b · inbound

Perturbations of Black Holes Surrounded by Anisotropic Matter Field cites this paper.

Perturbations of Black Holes Surrounded by Anisotropic Matter Field Connection between black-hole quasinormal modes and lensing in the strong deflection limit

Reference 57

Resolution
unresolved
no resolver link, observed 2026-08-12T18:22:50.545190Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T18:22:50.545190Z digest=sha256:0b97ea39e3a1e1737bc2b74cd31adae4bf74f1c7ffa0dc82c8a6b5d69c7d71d8

Observation 64b64390-8f99-4671-ae86-e7a3dece6b8e · inbound

Bounds for Lyapunov exponent of circular light orbits in black holes cites this paper.

Bounds for Lyapunov exponent of circular light orbits in black holes Connection between black-hole quasinormal modes and lensing in the strong deflection limit

Reference 26

Resolution
unresolved
no resolver link, observed 2026-08-11T16:21:20.092405Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T16:21:20.092405Z digest=sha256:f0a0095c29300924e1f3560d146a4a6780b8b0ddd632811bb5e3ae20d75e207c

Observation 70a033ab-da91-43c4-bcdc-1efbfe7d3d85 · inbound

The shadow and quasinormal modes of the asymptotically flat hairy black holes with a dilaton potential cites this paper.

The shadow and quasinormal modes of the asymptotically flat hairy black holes with a dilaton potential Connection between black-hole quasinormal modes and lensing in the strong deflection limit

Reference 93

Resolution
unresolved
no resolver link, observed 2026-08-06T04:52:29.320788Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T04:52:29.320788Z digest=sha256:e16e2d51a5bb7aba1b22cf80114479e735b8884ed46013c6aca4e5d34df95512

Observation 21c7172b-dbf1-401b-bb9f-f61eec1923ff · inbound

The existence and upper bound for stable photon spheres in static spherically symmetric black holes cites this paper.

The existence and upper bound for stable photon spheres in static spherically symmetric black holes Connection between black-hole quasinormal modes and lensing in the strong deflection limit

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-05T15:39:28.337809Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T15:39:28.337809Z digest=sha256:749e8e389efbd5f603cfe5026cbf052a85b912421ec19fa244c122d78901b937

Observation e8185a20-a64c-450d-8113-c8fe4611f3f7 · inbound

Topological charge and black hole photon spheres in massive gravity cites this paper.

Topological charge and black hole photon spheres in massive gravity Connection between black-hole quasinormal modes and lensing in the strong deflection limit

Reference 40

Resolution
verified exact
local_arxiv, observed 2026-05-18T18:52:48.557792Z

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=2026-05-18T18:52:07.782615Z digest=sha256:79ede9f89211a67d0f3a8cdc045e5316eb3c0b08c591ae6cb52edb5afc3c0747

Observation 5cd6dc4d-c27a-4259-ac6f-cd8bf05433a6 · inbound

Strong-deflection expansion of the deflection angle near a degenerate photon sphere cites this paper.

Strong-deflection expansion of the deflection angle near a degenerate photon sphere Connection between black-hole quasinormal modes and lensing in the strong deflection limit

Reference 37

Resolution
verified exact
local_arxiv, observed 2026-05-15T14:46:08.079689Z

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=2026-05-15T14:43:36.202568Z digest=sha256:3e2556baa5b1b45a4f3927fa99e20d9bd20f0e69c1947f6247c0e70d9813e423

Observation 9fe6fca6-9990-47bb-b86e-4034ebfe2fc9 · inbound

Connection Between the Shadow Radius and Quasinormal Frequencies for Black Holes in STVG with Perfect Fluid Dark Matter cites this paper.

Connection Between the Shadow Radius and Quasinormal Frequencies for Black Holes in STVG with Perfect Fluid Dark Matter Connection between black-hole quasinormal modes and lensing in the strong deflection limit

Reference 34

Resolution
unresolved
no resolver link, observed 2026-07-13T16:36:36.896932Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-13T16:36:36.896932Z digest=sha256:1410eace3f1429b69a256405ee577c39db59f1f09a4890b1900ed3d264785446

Observation a85820ce-5cd5-4513-8b59-4cfb3944dff5 · inbound

Photon Sphere and Shadow of a Perturbative Black Hole in $f(R,\mathcal{G})$ Gravity cites this paper.

Photon Sphere and Shadow of a Perturbative Black Hole in $f(R,\mathcal{G})$ Gravity Connection between black-hole quasinormal modes and lensing in the strong deflection limit

Reference 24

Resolution
verified exact
arxiv_id, observed 2026-05-13T01:57:04.995100Z

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=2026-05-13T01:55:53.096351Z digest=sha256:c502c0584f1bd681ad7cbe5093b25af6de663ca38c79621e5fe4b672b46f217a

Observation 4ed50398-4f60-43e4-af2d-547b7ce37d61 · inbound

Photon Sphere and Shadow of a Perturbative Black Hole in $f(R,\mathcal{G})$ Gravity cites this paper.

Photon Sphere and Shadow of a Perturbative Black Hole in $f(R,\mathcal{G})$ Gravity Connection between black-hole quasinormal modes and lensing in the strong deflection limit

Reference 33

Resolution
verified exact
local_arxiv, observed 2026-05-20T23:09:12.603691Z

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=2026-05-20T23:04:15.808516Z digest=sha256:7508e6458627404d0068504ece493eb886ae0046bff3cf2bec23c014688aab6a

Observation c7d4b8e9-ee02-407d-924a-266858cb221c · inbound

Photon Sphere and Shadow of a Perturbative Black Hole in $f(R,\mathcal{G})$ Gravity cites this paper.

Photon Sphere and Shadow of a Perturbative Black Hole in $f(R,\mathcal{G})$ Gravity Connection between black-hole quasinormal modes and lensing in the strong deflection limit

Reference 40

Resolution
verified exact
local_arxiv, observed 2026-06-30T23:05:07.427321Z

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=2026-06-30T23:01:59.731638Z digest=sha256:db860c467378bae89b01db3060ddb228ba3ed15651df3cf231a6d8211138b2df

Observation 3965a7f5-db00-4597-a57e-7e3d28ef87c6 · inbound

Bounds on the radius of outermost photon sphere and black hole shadow in $n$-dimensional Einstein gravity cites this paper.

Bounds on the radius of outermost photon sphere and black hole shadow in $n$-dimensional Einstein gravity Connection between black-hole quasinormal modes and lensing in the strong deflection limit

Reference 7

Resolution
verified exact
local_arxiv, observed 2026-06-29T04:13:04.678670Z

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=2026-07-11T11:50:26.030339Z digest=sha256:aca35af61723aba6f4320ca5acb3b5a31cd24152d1818180e575f625d402f3de

Observation 2f4d1d35-770d-414f-b051-8c2ab7671703 · inbound

Bounds on the radius of outermost photon sphere and black hole shadow in $n$-dimensional Einstein gravity cites this paper.

Bounds on the radius of outermost photon sphere and black hole shadow in $n$-dimensional Einstein gravity Connection between black-hole quasinormal modes and lensing in the strong deflection limit

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-02T10:12:21.224250Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T10:12:21.224250Z digest=sha256:28db3972ca9fd02b433e43fdab4c1a4245857b401ad8d8e62e800ff48c304b84

Observation c3d82852-3dfa-4b13-a4cb-26c3c746d25c · inbound

Scalar and Electromagnetic Perturbations around a Black Hole with a Topological Defect: Quasinormal Modes and Quasi-bound States in a Plasma Medium cites this paper.

Scalar and Electromagnetic Perturbations around a Black Hole with a Topological Defect: Quasinormal Modes and Quasi-bound States in a Plasma Medium Connection between black-hole quasinormal modes and lensing in the strong deflection limit

Reference 28

Resolution
verified exact
local_arxiv, observed 2026-07-09T09:36:09.155583Z

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=2026-07-09T09:30:07.029696Z digest=sha256:e78f031ac1f655f8d46260abbf151c47c4a026e4a00aeb9bf385a4d8aa272167

Observation 92e56893-b1b7-4465-b0bf-1a8a09dbe4da · inbound

Scalar and Electromagnetic Perturbations around a Black Hole with a Topological Defect: Quasinormal Modes and Quasi-bound States in a Plasma Medium cites this paper.

Scalar and Electromagnetic Perturbations around a Black Hole with a Topological Defect: Quasinormal Modes and Quasi-bound States in a Plasma Medium Connection between black-hole quasinormal modes and lensing in the strong deflection limit

Reference 27

Resolution
unresolved
no resolver link, observed 2026-07-14T15:43:51.758289Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-14T15:43:51.758289Z digest=sha256:1e087f7c7d203131477ecdab85a43d4c2032940094d30bad5940ac6f2d3e2b30