Pith. sign in

Paper Citation Record · LEDGER

Schwarzschild black hole lensing

As of 9 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 22 inbound Pith citation observations for arXiv:astro-ph/9904193.

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

pith.paper-citation-record.v1
astro-ph/9904193 v2

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 22 of 22 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 22 of 22 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T10:46:52.617199Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-07-01T17:35:51.449115Z

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 8edf7ff4-3527-4636-ab7d-23f67297dc50 · inbound

Generalized Misner-Sharp energy in $f(R,\mathcal{G})$ gravity cites this paper.

Generalized Misner-Sharp energy in $f(R,\mathcal{G})$ gravity Schwarzschild black hole lensing

Reference 32

Resolution
unresolved
no resolver link, observed 2026-08-07T10:46:52.617199Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T10:46:52.617199Z digest=sha256:e30478d845c5c6d5d1c22d56b1b411731f6d3ace315bf3ef7cfc506d9f5713b6

Observation 121e7216-3630-4ce9-8472-0836a660fc1b · inbound

Bright ring features and polarization structures in Kerr-Sen black hole images illuminated by radiatively inefficient accretion flows cites this paper.

Bright ring features and polarization structures in Kerr-Sen black hole images illuminated by radiatively inefficient accretion flows Schwarzschild black hole lensing

Reference 18

Resolution
verified exact
local_arxiv, observed 2026-05-22T12:34:52.463742Z

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=2026-05-22T12:33:46.388590Z digest=sha256:59b70373d815b79b10f68324699e93a94b940e53df78d538ae57b86af237350a

Observation d5b69bcb-27ae-492f-ac3e-1b41a4f231f1 · inbound

Gravitational Lensing by Black Holes in Einstein-nonlinear Electrodynamic Theories with Multiple Photon Spheres cites this paper.

Gravitational Lensing by Black Holes in Einstein-nonlinear Electrodynamic Theories with Multiple Photon Spheres Schwarzschild black hole lensing

Reference 39

Resolution
unresolved
no resolver link, observed 2026-08-06T16:40:19.256446Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T16:40:19.256446Z digest=sha256:07aa22f886672a551aa0c29f95869d008a8574a7d79d3548480d03e5b2f1fdb8

Observation 3b1d6ad6-0939-4429-8a1b-239105905f50 · inbound

Strong gravitational lensing by black hole in F(R) Euler Heisenberg Gravity's Rainbow cites this paper.

Strong gravitational lensing by black hole in F(R) Euler Heisenberg Gravity's Rainbow Schwarzschild black hole lensing

Reference 58

Resolution
unresolved
no resolver link, observed 2026-08-06T16:19:54.951943Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T16:19:54.951943Z digest=sha256:d0d325ea7e7199ccbbc69bdc67bc9082415bf9d8739bfd6abc98ae9406689371

Observation 918ad63d-44ad-4cc7-8e8c-c74086a30ccc · inbound

Semi-Analytic Trajectory Analysis of Light in Generic Static Spacetimes cites this paper.

Semi-Analytic Trajectory Analysis of Light in Generic Static Spacetimes Schwarzschild black hole lensing

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-06T15:20:02.808728Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T15:20:02.808728Z digest=sha256:df96fc2371c11cca4756964d0f104a7ff5c8799d96e0e85864cd98e6155d2151

Observation 3536fffe-d5c5-4f29-9811-218a0f8e2e05 · 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 Schwarzschild black hole lensing

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-05T15:39:28.326838Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T15:39:28.326838Z digest=sha256:d805b449d94175fdcbfb176d770a233822427f3620fa6af823dddee10da8c90f

Observation 7bc28e6e-72d9-479c-8969-5e67fda52d64 · inbound

Image of a quantum-corrected black hole without Cauchy horizons illuminated by a static thin accretion disk cites this paper.

Image of a quantum-corrected black hole without Cauchy horizons illuminated by a static thin accretion disk Schwarzschild black hole lensing

Reference 7

Resolution
malformed identifier
no resolver link, observed 2026-08-04T10:38:59.407596Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T10:38:59.407596Z digest=sha256:291cbe2f7e95760ad31b032fbd5b2e41c2acb1ee48ba7f4fde2a5f69bf84ae3e

Observation ed3af968-ee13-4304-a15b-218486b1dbc6 · inbound

Boundary-only weak deflection angles from isothermal optical geometry cites this paper.

Boundary-only weak deflection angles from isothermal optical geometry Schwarzschild black hole lensing

Reference 11

Resolution
verified exact
local_arxiv, observed 2026-05-16T15:43:03.580342Z

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=2026-05-16T15:42:53.936778Z digest=sha256:b515f17792ab0de81fc05b1035676164ce28a197ff95d45d151b7281d2e61d2b

Observation 29aa1e67-d6fb-4d87-a134-39c1082f6c81 · inbound

Strong field gravitational lensing of particles by a black-bounce-Schwarzschild black hole cites this paper.

Strong field gravitational lensing of particles by a black-bounce-Schwarzschild black hole Schwarzschild black hole lensing

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-03T04:48:45.176125Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T04:48:45.176125Z digest=sha256:8f745b1802df52b9ec31c4e26ee8994419f634b46030fcece4519c7cb60e4a8c

Observation 2658d96b-9e20-47e7-a185-5bce039bb8a0 · inbound

Rotating Black Holes with Primary Scalar Hair: Shadow Signatures in Beyond Horndeski Gravity cites this paper.

Rotating Black Holes with Primary Scalar Hair: Shadow Signatures in Beyond Horndeski Gravity Schwarzschild black hole lensing

Reference 94

Resolution
verified exact
local_arxiv, observed 2026-05-15T21:46:41.740007Z

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=2026-05-15T21:46:24.406651Z digest=sha256:577c789ffb9cfd496df872427630cd4516a022f33a578a0eee647d7ed5e2c7b7

Observation a3a45dee-3ba1-4b1c-8c35-56e5c5c8ff6f · 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 Schwarzschild black hole lensing

Reference 15

Resolution
verified exact
local_arxiv, observed 2026-05-15T14:46:08.212095Z

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=2026-05-15T14:43:36.202568Z digest=sha256:7a9594613fee47e5c489066bcde2dba9e12cc57a12fe6647e052b7eb34925d01

Observation 4ed7218c-a0ee-4a74-b201-af1549e193e7 · inbound

Optical and orbital characterization of spherically symmetric static black holes of self-gravitating new nonlinear electrodynamics model cites this paper.

Optical and orbital characterization of spherically symmetric static black holes of self-gravitating new nonlinear electrodynamics model Schwarzschild black hole lensing

Reference 20

Resolution
unresolved
no resolver link, observed 2026-07-15T12:04:34.107907Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-15T12:04:34.107907Z digest=sha256:983331b11551dc0d1ee5090a54ca15cfb53788fcbd87cbf819db8217ef80e57c

Observation e20bd467-06b6-403a-8f0d-d68fc5653f03 · inbound

Observational constraints on nonlocal black holes via gravitational lensing cites this paper.

Observational constraints on nonlocal black holes via gravitational lensing Schwarzschild black hole lensing

Reference 50

Resolution
verified exact
arxiv_id, observed 2026-05-10T14:15:29.864989Z

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=2026-05-10T14:12:31.058346Z digest=sha256:8f98bdab94383e1cc07c86eaf88920812707d01976cf08196d27fddacfb26d99

Observation f52df2d5-1c36-4b6a-af5f-5aa79fb02651 · 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 Schwarzschild black hole lensing

Reference 17

Resolution
verified exact
arxiv_id, observed 2026-05-13T01:57:04.955743Z

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=2026-05-13T01:55:53.096351Z digest=sha256:20eca3aa7ce9643423f4932c832475baa3cdac43e578487c4c36b9988676eae3

Observation ce93498a-2f92-4486-a022-3005f92b540a · 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 Schwarzschild black hole lensing

Reference 24

Resolution
verified exact
local_arxiv, observed 2026-05-20T23:09:12.502207Z

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=2026-05-20T23:04:15.808516Z digest=sha256:78b70058729fdc2a3831c4997ab4dc349c3e2bf2a5e65f28e7aaa40a456395e7

Observation 8f125f5b-41d3-40ba-8cd8-20629f0a8923 · 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 Schwarzschild black hole lensing

Reference 31

Resolution
verified exact
local_arxiv, observed 2026-06-30T23:05:07.463675Z

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=2026-06-30T23:01:59.731638Z digest=sha256:e169e8d7277400431b4be4a7b52ec904a324d705b3d0bd714a938a5824651946

Observation 002d6bf9-04f4-47bb-a0b6-0d71e9b0880a · inbound

Regular black hole solutions and the quark chemical potential at the QCD phase transition cites this paper.

Regular black hole solutions and the quark chemical potential at the QCD phase transition Schwarzschild black hole lensing

Reference 36

Resolution
verified exact
local_arxiv, observed 2026-06-29T16:13:36.578460Z

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=2026-06-29T15:52:43.514424Z digest=sha256:972da276657b97ea43b67dfe9566c830d5d09435abfb57e7b5923d77373d5284

Observation 3ae87906-ed48-4bfc-8ba7-656d564ca408 · 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 Schwarzschild black hole lensing

Reference 6

Resolution
verified exact
local_arxiv, observed 2026-06-29T04:13:04.669242Z

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=2026-07-11T11:50:26.030339Z digest=sha256:70406d8f796d81297a988d440925da3935e0cb5188e32b721eb145344fac0fc3

Observation 7c0b9103-0730-4f53-b20d-57c5fb88bd03 · 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 Schwarzschild black hole lensing

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-02T10:12:21.220348Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T10:12:21.220348Z digest=sha256:44041771b1af1c66f14d083b8cfb45b76b3d6407adb9a3331536f9b718b6a973

Observation 6cb013ac-366f-492b-a910-c5851848ad13 · inbound

Revisit Static Aether: Exact Vacuum Solution in Einstein-Aether Theory and Its Analytic Extension cites this paper.

Revisit Static Aether: Exact Vacuum Solution in Einstein-Aether Theory and Its Analytic Extension Schwarzschild black hole lensing

Reference 40

Resolution
verified exact
local_arxiv, observed 2026-07-01T17:35:51.450208Z

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=2026-06-29T03:35:05.106336Z digest=sha256:d9be9eeb16969d37b3c782190c074e500d1f019cdd2cff107fb741f66048d688

Observation b4157d0d-f60b-4100-9f9b-d808056e60da · inbound

Gravitational Lensing in a Kasner Background: Distinguishing Wormholes and Black Holes cites this paper.

Gravitational Lensing in a Kasner Background: Distinguishing Wormholes and Black Holes Schwarzschild black hole lensing

Reference 41

Resolution
unresolved
no resolver link, observed 2026-08-01T07:04:42.354681Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T07:04:42.354681Z digest=sha256:1c3d7caddb39e6f4b1457c9c1897ca137b543be52f41156d6738f4b88b2e0d1e

Observation 57b952a1-d518-4bc0-9037-6c1101b0dd7c · inbound

Spin precession in the strong deflection limit cites this paper.

Spin precession in the strong deflection limit Schwarzschild black hole lensing

Reference 26

Resolution
unresolved
no resolver link, observed 2026-08-01T02:10:39.595516Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T02:10:39.595516Z digest=sha256:cb6e07f438b21f3630463dc7a8333e40af79427a6276217335a785e223c418da