Paper Citation Record · LEDGER

Breathing Black Hole Shadows in Modified Gravity (MOG)

As of 19 August 2026, this Paper Citation Record lists 37 of 37 outbound references and 2 inbound Pith citation observations for arXiv:2602.21432.

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

pith.paper-citation-record.v1
2602.21432 v3

Coverage vector

measured 37 of 37 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-02T21:06:28.788595Z

measured 39 of 39 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-21T04:51:47.713339Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-21T04:53:58.009281Z

Reference resolution

37 of 37 outbound references displayed

verified exact0
verified fuzzy0
unresolved37
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation b747caff-7601-4398-a7da-c76e57967d06 · outbound

This paper cites an unresolved cited work.

Breathing Black Hole Shadows in Modified Gravity (MOG) Unresolved cited work

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-02T21:06:25.815315Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 115bd9aa-ae40-401b-9e8d-cec530788db1 · outbound

This paper cites Applying the second condition by maximizing Eq.

Breathing Black Hole Shadows in Modified Gravity (MOG) Applying the second condition by maximizing Eq

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-02T21:06:25.882684Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2748fd73-2185-4c32-91d4-9585ccc66bfa · outbound

This paper cites Observation of Gravitational Waves from a Binary Black Hole Merger.

Breathing Black Hole Shadows in Modified Gravity (MOG) Observation of Gravitational Waves from a Binary Black Hole Merger

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-02T21:06:26.247578Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e9844230-314c-4f39-9a13-d037409d108d · outbound

This paper cites GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral.

Breathing Black Hole Shadows in Modified Gravity (MOG) GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-02T21:06:26.092094Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 227bce28-1699-48c8-9737-80b927a7be8f · outbound

This paper cites Gravitational Waves and Gamma-rays from a Binary Neutron Star Merger: GW170817 and GRB 170817A.

Breathing Black Hole Shadows in Modified Gravity (MOG) Gravitational Waves and Gamma-rays from a Binary Neutron Star Merger: GW170817 and GRB 170817A

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-02T21:06:26.157123Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d2e10d4a-a747-42d4-b264-44e1237669cf · outbound

This paper cites First Sagittarius A* Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole in the Center of the Milky Way.

Breathing Black Hole Shadows in Modified Gravity (MOG) First Sagittarius A* Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole in the Center of the Milky Way

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-02T21:06:26.485628Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 65dc270f-8906-4d01-82bc-86837f92f32f · outbound

This paper cites First M87 Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole.

Breathing Black Hole Shadows in Modified Gravity (MOG) First M87 Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-02T21:06:26.335010Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ef71dfc7-504d-4b08-ae6b-e6edd535b08d · outbound

This paper cites (19) reveals a profound physical insight.

Breathing Black Hole Shadows in Modified Gravity (MOG) (19) reveals a profound physical insight

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-02T21:06:26.017125Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 29411b1f-578c-4f7b-bc22-5ae02cb263d1 · outbound

This paper cites Viewing the Shadow of the Black Hole at the Galactic Center.

Breathing Black Hole Shadows in Modified Gravity (MOG) Viewing the Shadow of the Black Hole at the Galactic Center

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-02T21:06:26.409560Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation af3b5ea3-db85-4b2e-95de-7a11b888d61d · outbound

This paper cites Calculating black hole shadows: Review of analytical studies.

Breathing Black Hole Shadows in Modified Gravity (MOG) Calculating black hole shadows: Review of analytical studies

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-02T21:06:26.575987Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3e8f2332-7544-4f0f-88ed-463385d9a7a9 · outbound

This paper cites Particle Dark Matter: Evidence, Candidates and Constraints.

Breathing Black Hole Shadows in Modified Gravity (MOG) Particle Dark Matter: Evidence, Candidates and Constraints

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-02T21:06:26.676747Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 00b089cd-3bf1-49d9-bc5c-9385641fbf2d · outbound

This paper cites Horizon-scale tests of gravity theories and fundamental physics from the Event Horizon Telescope image of Sagittarius A$^*$.

Breathing Black Hole Shadows in Modified Gravity (MOG) Horizon-scale tests of gravity theories and fundamental physics from the Event Horizon Telescope image of Sagittarius A$^*$

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-02T21:06:26.752154Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9a52c255-81a9-410e-afba-e1a31d92ea9e · outbound

This paper cites Modified Gravity and Cosmology.

Breathing Black Hole Shadows in Modified Gravity (MOG) Modified Gravity and Cosmology

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-02T21:06:26.841091Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 45bc3b11-64a1-4866-b127-66e5524d0d38 · outbound

This paper cites Extended Theories of Gravity.

Breathing Black Hole Shadows in Modified Gravity (MOG) Extended Theories of Gravity

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-02T21:06:26.914033Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d4f02fb5-c7ed-478d-8ca4-5eb0e6a50b4f · outbound

This paper cites Scalar-Tensor-Vector Gravity Theory.

Breathing Black Hole Shadows in Modified Gravity (MOG) Scalar-Tensor-Vector Gravity Theory

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-02T21:06:26.980036Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation af847308-04b2-4974-8551-7edde704d83e · outbound

This paper cites The MOG weak field approximation and observational test of galaxy rotation curves.

Breathing Black Hole Shadows in Modified Gravity (MOG) The MOG weak field approximation and observational test of galaxy rotation curves

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-02T21:06:27.031825Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cce6d53b-d218-45ac-b8d7-1cc8246f61b0 · outbound

This paper cites Galaxy Cluster Masses Without Non-Baryonic Dark Matter.

Breathing Black Hole Shadows in Modified Gravity (MOG) Galaxy Cluster Masses Without Non-Baryonic Dark Matter

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-02T21:06:27.094121Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation eb113f61-d89d-42c9-80df-98a17e63c977 · outbound

This paper cites Modified Gravity Black Holes and their Observable Shadows.

Breathing Black Hole Shadows in Modified Gravity (MOG) Modified Gravity Black Holes and their Observable Shadows

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-02T21:06:27.138982Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1c290188-c747-44cd-a4bc-ed3822249780 · outbound

This paper cites Black Hole Thermodynamics in MOdified Gravity (MOG).

Breathing Black Hole Shadows in Modified Gravity (MOG) Black Hole Thermodynamics in MOdified Gravity (MOG)

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-02T21:06:27.178670Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ee0ca5d9-7915-4754-843d-cf6bed9c9094 · outbound

This paper cites Shimura varieties at level $\Gamma_1(p^\infty)$ and Galois representations.

Breathing Black Hole Shadows in Modified Gravity (MOG) Shimura varieties at level $\Gamma_1(p^\infty)$ and Galois representations

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-02T21:06:27.203087Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fba9c262-3c6d-4d56-8f8e-084d936fe27c · outbound

This paper cites Quasinormal modes of black holes and black branes.

Breathing Black Hole Shadows in Modified Gravity (MOG) Quasinormal modes of black holes and black branes

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-02T21:06:27.244318Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7541e4e2-2612-4ac8-9fb5-ed4d83fa66da · outbound

This paper cites Discretization of Annular-Ring Diffraction Pattern for Large-Scale Photonics Beamforming.

Breathing Black Hole Shadows in Modified Gravity (MOG) Discretization of Annular-Ring Diffraction Pattern for Large-Scale Photonics Beamforming

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-02T21:06:27.278315Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f65396aa-a574-448e-8742-b626dfbe95e3 · outbound

This paper cites Shadows and strong gravitational lensing: a brief review.

Breathing Black Hole Shadows in Modified Gravity (MOG) Shadows and strong gravitational lensing: a brief review

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-02T21:06:27.347157Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 48ad08d7-7769-44ef-a8c4-c868599202ab · outbound

This paper cites Polarizations of Gravitational Waves in Horndeski Theory.

Breathing Black Hole Shadows in Modified Gravity (MOG) Polarizations of Gravitational Waves in Horndeski Theory

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-02T21:06:27.460577Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3ad1b928-0aba-4d3b-b017-3ebf6287a0b5 · outbound

This paper cites Carter, Global structure of the Kerr family of gravitational fields, Phys.

Breathing Black Hole Shadows in Modified Gravity (MOG) Carter, Global structure of the Kerr family of gravitational fields, Phys

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-02T21:06:27.538104Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation af737f68-cde0-496d-8701-f3e356a5cfd5 · outbound

This paper cites Can Massive Gravitons be an Alternative to Dark Energy?.

Breathing Black Hole Shadows in Modified Gravity (MOG) Can Massive Gravitons be an Alternative to Dark Energy?

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-02T21:06:27.771901Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 34b74215-55e8-4d27-8559-64cee13562a5 · outbound

This paper cites Massive, massless and ghost modes of gravitational waves from higher-order gravity.

Breathing Black Hole Shadows in Modified Gravity (MOG) Massive, massless and ghost modes of gravitational waves from higher-order gravity

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-02T21:06:27.834272Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1a05e7b3-8932-451d-96c4-e6c96a86096e · outbound

This paper cites Massive Gravity.

Breathing Black Hole Shadows in Modified Gravity (MOG) Massive Gravity

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-02T21:06:27.881668Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e6501322-929a-4ad1-9fbd-95fca1a76cf1 · outbound

This paper cites Bounding the mass of the graviton using gravitional-wave observations of inspiralling compact binaries.

Breathing Black Hole Shadows in Modified Gravity (MOG) Bounding the mass of the graviton using gravitional-wave observations of inspiralling compact binaries

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-02T21:06:27.965034Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation de8eee0a-66b7-432b-94fe-e0d9c720cb46 · outbound

This paper cites an unresolved cited work.

Breathing Black Hole Shadows in Modified Gravity (MOG) Unresolved cited work

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-02T21:06:28.074116Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e5a68d64-0bd0-4986-8c86-5d7f2ec4e9a9 · outbound

This paper cites LIGO GW150914 and GW151226 Gravitational Wave Detection and Generalized Gravitation Theory (MOG).

Breathing Black Hole Shadows in Modified Gravity (MOG) LIGO GW150914 and GW151226 Gravitational Wave Detection and Generalized Gravitation Theory (MOG)

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-02T21:06:28.178876Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation dec45104-23d4-4db4-a77d-d0bc917989f1 · outbound

This paper cites The Confrontation between General Relativity and Experiment.

Breathing Black Hole Shadows in Modified Gravity (MOG) The Confrontation between General Relativity and Experiment

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-02T21:06:28.262140Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b0d6d637-81d3-4af6-95c9-9420e01ed3ba · outbound

This paper cites an unresolved cited work.

Breathing Black Hole Shadows in Modified Gravity (MOG) Unresolved cited work

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-02T21:06:28.356174Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 42b2f26a-130e-4ec5-a754-abd03bd088f4 · outbound

This paper cites an unresolved cited work.

Breathing Black Hole Shadows in Modified Gravity (MOG) Unresolved cited work

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-02T21:06:28.471429Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4e042a26-9ac2-4fdd-b3a4-abc1fcdac7d6 · outbound

This paper cites an unresolved cited work.

Breathing Black Hole Shadows in Modified Gravity (MOG) Unresolved cited work

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-02T21:06:28.558237Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fa8157af-b417-4352-8fcc-dea4d9a938d9 · outbound

This paper cites Intermediate and Extreme Mass-Ratio Inspirals -- Astrophysics, Science Applications and Detection using LISA.

Breathing Black Hole Shadows in Modified Gravity (MOG) Intermediate and Extreme Mass-Ratio Inspirals -- Astrophysics, Science Applications and Detection using LISA

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-02T21:06:28.690457Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6b7cad92-f8ce-4318-8940-3c477a4c8b22 · outbound

This paper cites Six Dimensional Streaming Algorithm for Cluster Finding in N-Body Simulations.

Breathing Black Hole Shadows in Modified Gravity (MOG) Six Dimensional Streaming Algorithm for Cluster Finding in N-Body Simulations

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-02T21:06:28.788595Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation 68e3949c-25d8-40d4-b66a-5655723daeb3 · inbound

Dynamical Black Hole Thermodynamics in Modified Gravity cites this paper.

Dynamical Black Hole Thermodynamics in Modified Gravity Breathing Black Hole Shadows in Modified Gravity (MOG)

Reference 18

Resolution: verified exact; arxiv_id, observed 2026-07-07T03:17:18.823164Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 9b24f6e3-06bd-458b-935d-fe62b1fdd771 · inbound

Post-Newtonian orbital mechanics around a black hole in modified gravity cites this paper.

Post-Newtonian orbital mechanics around a black hole in modified gravity Breathing Black Hole Shadows in Modified Gravity (MOG)

Reference 27

Resolution: verified exact; arxiv_id, observed 2026-07-07T03:17:18.823164Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.