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Paper Citation Record · LEDGER

Schwarzschild black hole lensing

As of 9 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 23 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

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measured 0 of 0 reference resolution

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measured 23 of 23 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+00:00

measured 23 of 23 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-09T13:42:05.548412Z

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

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Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation d68febf3-849a-4150-839b-884b85afa746 · inbound

From Matter Density to Deflection Angle and Gravitational Lensing Using a Perturbative Method cites this paper.

From Matter Density to Deflection Angle and Gravitational Lensing Using a Perturbative Method Schwarzschild black hole lensing

Reference 83

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unresolved
no resolver link, observed 2026-08-09T13:42:05.548412Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-09T13:42:05.548412Z digest=sha256:42d820352045a31e0e780f87b06fa438df0e18a35df49a73fbea2333d101ff2c

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

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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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-22T12:33:46.388590Z digest=sha256:006cc4e2cd089902cf523561161374ce498026106fbeaf6970eeec27b85f34e4

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=sha256:8421e4aa20d3d92cccfa75b1cad1ff99ddbd5c9704490b5029bcb6a1ed1015d8

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

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T16:19:54.951943Z digest=sha256:57ef2a7352beb777703834199dbff4d3a180cc6ddb5b8142752b83b77eed2cbd

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=sha256:691f27047a38e82368c32d3f2050c9ab8a4a58a6af2784f0dc88ac07f5e42c95

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=sha256:029b048f780e943b21add6d90b23469da2e2b36568fa9e75938a517f367135d6

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-16T15:42:53.936778Z digest=sha256:a89d7d42fccfb076134fcc90826116741f08eef906eadb1c590b520517cfb788

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

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-15T21:46:24.406651Z digest=sha256:162ef322dd56c1e26929bf99778555a119099f40eaf2ded1db903e1058412ff3

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-15T14:43:36.202568Z digest=sha256:17dfdd1a04257351f8a5515c937cbf97f55abb83b84b819fea5f3ba517301947

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

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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

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

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-10T14:12:31.058346Z digest=sha256:27dc4e667a3c81dc661d16db6df53352cde17e7ac073639d92720c1b5ba6d9ad

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

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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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-13T01:55:53.096351Z digest=sha256:0c2b8bb2532fdd934cb833a96eb22ed41d7ff901cac7bbfb4a2050fd1060bd79

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-20T23:04:15.808516Z digest=sha256:c957cb55095e9984c1e5c4fbbc0af581a5bbf3edd1e962c007a1d62f661aa25d

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

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-06-30T23:01:59.731638Z digest=sha256:a76ba6773faf75614b7f0e241e2298c8bfc4f7cbbe402feada411ac284de02e0

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

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

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-06-29T15:52:43.514424Z digest=sha256:30081a20edb341b26234164abe8eae4567bb9857e160765870f2c0bed95f6246

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

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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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-07-11T11:50:26.030339Z digest=sha256:a11c8af765bc4d53e1cb2072d001ea8a393e1e38bf7984b812919f58bacafbd6

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-06-29T03:35:05.106336Z digest=sha256:6b8b440dc23245462541dd2454945414ce43d6f8ff28d2bf4587c3841ac28887

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=sha256:8f8c6ee06afecd3c4d66f37a5f8ba1d62d87c8200b5f6e62b15cbc99f27651d8

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