Paper Citation Record · LEDGER

Applications of the Gauss-Bonnet theorem to gravitational lensing

As of 13 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 27 inbound Pith citation observations for arXiv:0807.0854.

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

pith.paper-citation-record.v1
0807.0854 v1

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measured 27 of 27 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00

measured 27 of 27 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-12T18:26:20.700632Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-07-04T19:50:09.902129Z

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Pith citing papers

Observation 9c12c56c-310b-4f0d-9edb-8a556730c9ac · inbound

Constrained Deflection Angle and Shadows of Rotating Black Holes in Einstein-Maxwell-scalar Theory cites this paper.

Constrained Deflection Angle and Shadows of Rotating Black Holes in Einstein-Maxwell-scalar Theory Applications of the Gauss-Bonnet theorem to gravitational lensing

Reference 49

Resolution: unresolved; no resolver link, observed 2026-08-12T18:26:20.700632Z

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Observation 303f6099-7beb-402f-aa72-351e4a9d47bb · inbound

Revisit the relationship between spread complexity rate and radial momentum cites this paper.

Revisit the relationship between spread complexity rate and radial momentum Applications of the Gauss-Bonnet theorem to gravitational lensing

Reference 57

Resolution: unresolved; no resolver link, observed 2026-08-12T10:31:30.466069Z

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Observation 1b94ffb2-fa44-478b-b82f-aa0b7614995a · 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 Applications of the Gauss-Bonnet theorem to gravitational lensing

Reference 71

Resolution: unresolved; no resolver link, observed 2026-08-11T16:21:20.303726Z

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Observation b6bb957f-911d-4c8c-ad4f-246feba52a69 · inbound

Gravitational lensing in a plasma from worldlines cites this paper.

Gravitational lensing in a plasma from worldlines Applications of the Gauss-Bonnet theorem to gravitational lensing

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-11T12:39:01.151515Z

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Observation 3b476b73-39b5-46d1-884d-3ce551879076 · inbound

Weak deflection angle of charged signal in magnetic fields cites this paper.

Weak deflection angle of charged signal in magnetic fields Applications of the Gauss-Bonnet theorem to gravitational lensing

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-10T22:07:50.352523Z

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Observation e9bcf3fd-157e-49c5-932a-fda6c2ff7869 · inbound

A class of charged-Taub-NUT-scalar metrics via Harison and Ehlers Transformations cites this paper.

A class of charged-Taub-NUT-scalar metrics via Harison and Ehlers Transformations Applications of the Gauss-Bonnet theorem to gravitational lensing

Reference 94

Resolution: unresolved; no resolver link, observed 2026-08-10T17:49:21.926312Z

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Observation a1ec6730-5e53-4786-895b-58225989a613 · inbound

Analyzing Deflection Angles and Photon Sphere Dynamics of Magnetically Charged Black Holes in Nonlinear Electrodynamic cites this paper.

Analyzing Deflection Angles and Photon Sphere Dynamics of Magnetically Charged Black Holes in Nonlinear Electrodynamic Applications of the Gauss-Bonnet theorem to gravitational lensing

Reference 108

Resolution: unresolved; no resolver link, observed 2026-08-08T23:50:42.851317Z

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Observation abdad334-f95f-4822-9c97-d11c512c430c · inbound

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

Semi-Analytic Trajectory Analysis of Light in Generic Static Spacetimes Applications of the Gauss-Bonnet theorem to gravitational lensing

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-06T15:20:02.863104Z

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Unavailable: canonical work link unavailable.

Observation 6712f077-dc04-4ff7-8895-bdc5baa6deac · inbound

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

Boundary-only weak deflection angles from isothermal optical geometry Applications of the Gauss-Bonnet theorem to gravitational lensing

Reference 23

Resolution: verified exact; local_arxiv, observed 2026-05-16T15:43:03.507157Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 4df35aba-d33d-41a8-9e0b-a906d8de6b99 · inbound

Branch structure and nonextensive thermodynamics of Kalb-Ramond-ModMax black holes: observational signatures cites this paper.

Branch structure and nonextensive thermodynamics of Kalb-Ramond-ModMax black holes: observational signatures Applications of the Gauss-Bonnet theorem to gravitational lensing

Reference 43

Resolution: unresolved; no resolver link, observed 2026-08-03T07:42:10.189007Z

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Observation d277817b-7afc-4197-a32a-44077a7a6566 · inbound

Reference-renormalized curvature-primitive Gauss-Bonnet formalism for finite-distance weak gravitational lensing in static spherical spacetimes cites this paper.

Reference-renormalized curvature-primitive Gauss-Bonnet formalism for finite-distance weak gravitational lensing in static spherical spacetimes Applications of the Gauss-Bonnet theorem to gravitational lensing

Reference 8

Resolution: verified exact; arxiv_id, observed 2026-05-10T07:37:04.751535Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation dd333abb-7a88-4fcd-9a82-eb35d728e90c · inbound

Shadow dependent phenomenology framework for rotating black hole metric cites this paper.

Shadow dependent phenomenology framework for rotating black hole metric Applications of the Gauss-Bonnet theorem to gravitational lensing

Reference 13

Resolution: verified exact; arxiv_id, observed 2026-05-11T19:51:09.293382Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 0ed462cc-5e1a-429a-a309-3a24cbfd9f8e · inbound

Shadow dependent phenomenology framework for rotating black hole metric cites this paper.

Shadow dependent phenomenology framework for rotating black hole metric Applications of the Gauss-Bonnet theorem to gravitational lensing

Reference 13

Resolution: verified exact; local_arxiv, observed 2026-07-04T19:50:09.903821Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 9c1700ba-f6e4-4444-b9eb-9ebb5c9e86a4 · inbound

Breaking Parameter Degeneracies in a Magnetically Charged Black Hole Embedded in a Hernquist Dark-Matter Halo: A Multi-Observable Analysis cites this paper.

Breaking Parameter Degeneracies in a Magnetically Charged Black Hole Embedded in a Hernquist Dark-Matter Halo: A Multi-Observable Analysis Applications of the Gauss-Bonnet theorem to gravitational lensing

Reference 60

Resolution: verified exact; arxiv_id, observed 2026-05-11T19:56:07.201826Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 2c924400-d78e-48b8-83db-476408ee2aae · inbound

Photon Surfaces in Higher-Curvature Gravity: Implications for Quasinormal Modes and Gravitational Lensing cites this paper.

Photon Surfaces in Higher-Curvature Gravity: Implications for Quasinormal Modes and Gravitational Lensing Applications of the Gauss-Bonnet theorem to gravitational lensing

Reference 19

Resolution: verified exact; arxiv_id, observed 2026-05-11T22:51:23.488579Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 5eb720e1-9811-4678-9625-052d625e4532 · inbound

Photon Surfaces in Higher-Curvature Gravity: Implications for Quasinormal Modes and Gravitational Lensing cites this paper.

Photon Surfaces in Higher-Curvature Gravity: Implications for Quasinormal Modes and Gravitational Lensing Applications of the Gauss-Bonnet theorem to gravitational lensing

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-02T15:40:42.042443Z

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Observation b951bbb6-0243-4f25-b808-d3af73be3bae · inbound

Topology of black hole thermodynamics: A brief review cites this paper.

Topology of black hole thermodynamics: A brief review Applications of the Gauss-Bonnet theorem to gravitational lensing

Reference 208

Resolution: verified exact; arxiv_id, observed 2026-05-11T14:47:10.595755Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 3af4984e-fea1-476e-b23a-2884e5c36524 · inbound

Hadronic lensing cites this paper.

Hadronic lensing Applications of the Gauss-Bonnet theorem to gravitational lensing

Reference 50

Resolution: verified exact; arxiv_id, observed 2026-05-09T06:25:48.158706Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 0beaa6ad-d927-436b-a44f-5bddea05402d · inbound

Hadronic lensing cites this paper.

Hadronic lensing Applications of the Gauss-Bonnet theorem to gravitational lensing

Reference 49

Resolution: verified exact; arxiv_id, observed 2026-05-12T06:21:28.748971Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation d669786e-7dd2-4520-bd18-5bc2a6cf04f6 · inbound

Hadronic lensing cites this paper.

Hadronic lensing Applications of the Gauss-Bonnet theorem to gravitational lensing

Reference 50

Resolution: unresolved; no resolver link, observed 2026-08-02T15:09:10.088577Z

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Observation af4ecd23-41fe-4672-ad52-d5b6e821025f · inbound

Energy extraction from NED-deformed rotating black holes via the Comisso-Asenjo reconnection process cites this paper.

Energy extraction from NED-deformed rotating black holes via the Comisso-Asenjo reconnection process Applications of the Gauss-Bonnet theorem to gravitational lensing

Reference 61

Resolution: verified exact; local_arxiv, observed 2026-06-30T00:24:04.872264Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 94e9c774-3348-4dd8-b8bb-71136d4ef4d9 · inbound

Probing Effective Field Theory Corrections with Quasinormal Modes and Gravitational Lensing in Reissner-Nordstr\"om Black Holes cites this paper.

Probing Effective Field Theory Corrections with Quasinormal Modes and Gravitational Lensing in Reissner-Nordstr\"om Black Holes Applications of the Gauss-Bonnet theorem to gravitational lensing

Reference 14

Resolution: verified exact; local_arxiv, observed 2026-06-29T11:23:20.793158Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 25d3ac25-b172-467e-815c-ac1a1db4e060 · inbound

Polarization-Dependent Photon Propagation, Quasinormal Modes, and Gravitational Lensing in Higher-Curvature Effective Theories cites this paper.

Polarization-Dependent Photon Propagation, Quasinormal Modes, and Gravitational Lensing in Higher-Curvature Effective Theories Applications of the Gauss-Bonnet theorem to gravitational lensing

Reference 29

Resolution: verified exact; local_arxiv, observed 2026-07-04T04:19:34.897813Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 99c5dff2-6e08-4fa4-8840-4ee228dfa879 · inbound

Observational Constraints on Kazakov-Solodukhin Quantum-Deformed Black Holes from M87$^$ and Sgr A$^$ Shadows cites this paper.

Observational Constraints on Kazakov-Solodukhin Quantum-Deformed Black Holes from M87$^*$ and Sgr A$^*$ Shadows Applications of the Gauss-Bonnet theorem to gravitational lensing

Reference 54

Resolution: unresolved; no resolver link, observed 2026-07-12T08:22:43.074418Z

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Unavailable: canonical work link unavailable.

Observation a8f15e3a-a267-4f24-a49c-ccdc4408c05e · inbound

A Self-Consistent Exact Solution from Einstein Gravity: Black Hole in King $\left(2,3,0\right)$ Dark Matter Halos cites this paper.

A Self-Consistent Exact Solution from Einstein Gravity: Black Hole in King $\left(2,3,0\right)$ Dark Matter Halos Applications of the Gauss-Bonnet theorem to gravitational lensing

Reference 27

Resolution: malformed identifier; no resolver link, observed 2026-07-13T06:53:29.838339Z

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Unavailable: canonical work link unavailable.

Observation 5fd366a2-3ee3-4399-9177-3940bdf07be1 · inbound

Analytical Study of Deflection Angle and Time Delay in Kerr Spacetime with Modified Propagation cites this paper.

Analytical Study of Deflection Angle and Time Delay in Kerr Spacetime with Modified Propagation Applications of the Gauss-Bonnet theorem to gravitational lensing

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-01T19:55:51.102052Z

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Unavailable: canonical work link unavailable.

Observation 4a8f1a83-266e-4511-adca-981273fae2f8 · inbound

Quantum-Corrected Thermodynamics, Dirac Perturbations, Geodesic Structure, and Topological Phases of Black Holes with Non-Minimal Logarithmic Coupling cites this paper.

Quantum-Corrected Thermodynamics, Dirac Perturbations, Geodesic Structure, and Topological Phases of Black Holes with Non-Minimal Logarithmic Coupling Applications of the Gauss-Bonnet theorem to gravitational lensing

Reference 50

Resolution: unresolved; no resolver link, observed 2026-08-01T06:51:10.262420Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.