Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-10T21:41:48.741736Z
Paper Citation Record · LEDGER
As of 22 August 2026, this Paper Citation Record lists 51 of 51 outbound references and 10 inbound Pith citation observations for arXiv:2501.04367.
A citation records a reference. It does not transfer a finding from one paper to another.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-10T21:41:48.741736Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-02T21:41:49.633917Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-07-04T11:09:46.843778Z
51 of 51 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 684b6de2-45be-4a01-b6d7-9284c9972c37 · outbound
Periodic orbits and their gravitational wave radiations around the Schwarzschild-MOG black hole ¨Uber das gravitationsfeld eines massenpunktes nach der einsteinschen the- orie,
Reference 1
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation c4154f8c-a46b-4314-a940-0c6b9b4149da · outbound
Periodic orbits and their gravitational wave radiations around the Schwarzschild-MOG black hole Gravitational Waves Through Time: Scientific Significance, Detection Techniques, and Recent Breakthroughs
Reference 2
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5b1f1104-27c8-4f53-bf57-8f4646402b5f · outbound
Periodic orbits and their gravitational wave radiations around the Schwarzschild-MOG black hole Oscillations of general relativistic superfluid neutron stars,
Reference 3
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 060a0ace-3c36-4d2f-929b-72999be1a6b2 · outbound
Periodic orbits and their gravitational wave radiations around the Schwarzschild-MOG black hole Deflection of light to second order: A tool for illustrating principles of general relativity,
Reference 4
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 61eb3fd8-f0dd-49f0-bc82-74c92795b9b4 · outbound
Periodic orbits and their gravitational wave radiations around the Schwarzschild-MOG black hole Hunting for extra dimensions in the shadow of M87,
Reference 5
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 170fbf46-461a-4f70-a3e4-42370083d6db · outbound
Periodic orbits and their gravitational wave radiations around the Schwarzschild-MOG black hole History of dark matter,
Reference 6
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation f6df171c-4a2d-46ac-b71e-3e299ae7b6cb · outbound
Periodic orbits and their gravitational wave radiations around the Schwarzschild-MOG black hole A new era in the search for dark matter,
Reference 7
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 171965f5-0d70-4566-8a5f-c7c530f2be7a · outbound
Periodic orbits and their gravitational wave radiations around the Schwarzschild-MOG black hole Exploring exotica: WIMPs and axions,
Reference 8
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 4fb8c1c2-fd42-4796-b16f-03fa1134b69d · outbound
Periodic orbits and their gravitational wave radiations around the Schwarzschild-MOG black hole Particle dark matter: Evidence, candidates and con- straints,
Reference 9
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 33b88e7f-b10c-49f4-8312-83e0ec97d6c4 · outbound
Periodic orbits and their gravitational wave radiations around the Schwarzschild-MOG black hole Scalar–tensor–vector gravity theory,
Reference 10
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation ade2be32-3730-4d0c-a02d-0d7e7002b6ef · outbound
Periodic orbits and their gravitational wave radiations around the Schwarzschild-MOG black hole Time delay predictions in a modified gravity theory,
Reference 11
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 81cbe9fb-b1bc-4805-bd8d-866540c80f5f · outbound
Periodic orbits and their gravitational wave radiations around the Schwarzschild-MOG black hole The MOG weak field approximation and observational test of galaxy rotation curves,
Reference 12
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 1cd24153-0e56-45af-b5b4-e2786dd1c224 · outbound
Periodic orbits and their gravitational wave radiations around the Schwarzschild-MOG black hole Rotational velocity curves in the Milky Way as a test of modified gravity,
Reference 13
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation bb04d6db-0d30-48b2-8485-4a5c7ba41743 · outbound
Periodic orbits and their gravitational wave radiations around the Schwarzschild-MOG black hole The MOG weak field approximation–ii. observational test of Chandra X-ray clusters,
Reference 14
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 6649356a-c41f-4fae-82d4-ac1155609fc0 · outbound
Periodic orbits and their gravitational wave radiations around the Schwarzschild-MOG black hole Scalar and Vector Field Constraints, Deflection of Light and Lensing in Modified Gravity (MOG)
Reference 15
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c2dbb4eb-4c6e-4f7e-92e3-e8495daceb9d · outbound
Periodic orbits and their gravitational wave radiations around the Schwarzschild-MOG black hole Structure Growth and the CMB in Modified Gravity (MOG)
Reference 16
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f334975f-1839-46f7-aad4-dffe42f6b6a9 · outbound
Periodic orbits and their gravitational wave radiations around the Schwarzschild-MOG black hole Black holes in modified gravity (MOG),
Reference 17
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 14a15000-7409-4937-aaaa-d31fcbbf6843 · outbound
Periodic orbits and their gravitational wave radiations around the Schwarzschild-MOG black hole Modified gravity black holes and their observable shadows,
Reference 18
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 7c5274e6-dee9-45b2-a1b0-d9c9efd05083 · outbound
Periodic orbits and their gravitational wave radiations around the Schwarzschild-MOG black hole Kerr-MOG-(A)dS black hole and its shadow in scalar-tensor-vector gravity theory
Reference 19
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a8c8cb8c-6b11-44a6-a0cd-208331c6650b · outbound
Periodic orbits and their gravitational wave radiations around the Schwarzschild-MOG black hole Radial and circular motion of photons and test particles in the Schwarzschild black hole with quintessence and string clouds,
Reference 20
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 19851b75-02e6-4a1e-8edb-dabcf331e0e2 · outbound
Periodic orbits and their gravitational wave radiations around the Schwarzschild-MOG black hole Epicyclic oscillations around slowly rotating charged black hole in Bumblebee gravity,
Reference 21
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation f88beb16-a800-4bf5-9fc2-ab5421bc40ee · outbound
Periodic orbits and their gravitational wave radiations around the Schwarzschild-MOG black hole Horizon-scale tests of gravity theories and fundamental physics from the Event Horizon Telescope image of Sagittarius A*,
Reference 22
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 582840af-226f-4019-9478-765a59113336 · outbound
Periodic orbits and their gravitational wave radiations around the Schwarzschild-MOG black hole Detection of the Schwarzschild precession in the orbit of the star S2 near the Galactic centre massive black hole,
Reference 23
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation a40aaa1a-95fd-468a-a4a7-005637bc1f26 · outbound
Periodic orbits and their gravitational wave radiations around the Schwarzschild-MOG black hole Analytical timelike geodesics in Schwarzschild spacetime,
Reference 24
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 5b21a704-7f17-40ec-be8f-cdf31cff99a0 · outbound
Periodic orbits and their gravitational wave radiations around the Schwarzschild-MOG black hole The geodesic structure of the Schwarzschild anti-de Sitter black hole,
Reference 25
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 8af6bb75-77bd-4699-b401-232b4ba715d3 · outbound
Periodic orbits and their gravitational wave radiations around the Schwarzschild-MOG black hole Galactic potentials,
Reference 26
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 7cf44644-aa3f-41ae-99f0-e8be66a217f5 · outbound
Periodic orbits and their gravitational wave radiations around the Schwarzschild-MOG black hole A bright electromagnetic counterpart to extreme mass ratio inspirals,
Reference 27
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation d4b431ad-d251-4e14-b8c8-1f438a601ccf · outbound
Periodic orbits and their gravitational wave radiations around the Schwarzschild-MOG black hole A periodic table for black hole orbits,
Reference 28
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 62ff4d3d-c69a-4c0a-89c4-f6f38b7eab31 · outbound
Periodic orbits and their gravitational wave radiations around the Schwarzschild-MOG black hole Energy level diagrams for black hole orbits,
Reference 29
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation cb4c4861-bda0-47f7-bb37-af14bad8016b · outbound
Periodic orbits and their gravitational wave radiations around the Schwarzschild-MOG black hole Rational orbits around charged black holes,
Reference 30
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 8d488cbd-37c5-4964-9248-9a9f41d58e7b · outbound
Periodic orbits and their gravitational wave radiations around the Schwarzschild-MOG black hole Periodic orbits around Kerr Sen black holes,
Reference 31
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 7c55b6ae-6aa6-4fb1-b647-95e9ad0b124a · outbound
Periodic orbits and their gravitational wave radiations around the Schwarzschild-MOG black hole Periodic orbits around a spherically symmetric spacetime,
Reference 32
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation fa1a4949-cb2e-43b0-8a3f-4455f29a0d45 · outbound
Periodic orbits and their gravitational wave radiations around the Schwarzschild-MOG black hole LISA-an ESA cornerstone mission for a gravitational wave observatory,
Reference 33
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation a91f362f-8504-441d-8806-66e0d0f7a592 · outbound
Periodic orbits and their gravitational wave radiations around the Schwarzschild-MOG black hole Laser Interferometer Space Antenna
Reference 34
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c03eb1df-8850-4942-b11e-a490a60aefe6 · outbound
Periodic orbits and their gravitational wave radiations around the Schwarzschild-MOG black hole Search for vectorlike light-flavor quark partners in proton- proton collisions at ( s)1/2= 8 TeV,
Reference 35
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 09dacd8b-bf4b-475f-a9b4-9a7e13201bb5 · outbound
Periodic orbits and their gravitational wave radiations around the Schwarzschild-MOG black hole TianQin: a space-borne gravitational wave detector,
Reference 36
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 54a12e48-0054-426a-97c8-5575ff2f0b2b · outbound
Periodic orbits and their gravitational wave radiations around the Schwarzschild-MOG black hole Concepts and status of Chinese space gravitational wave detection projects,
Reference 37
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 0ac4c218-8d39-4988-860d-5beb3e0515ab · outbound
Periodic orbits and their gravitational wave radiations around the Schwarzschild-MOG black hole New horizons for fundamental physics with LISA,
Reference 38
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation ae015579-848d-42f9-bf3a-844982fae6df · outbound
Periodic orbits and their gravitational wave radiations around the Schwarzschild-MOG black hole Cosmology with the laser interferometer space antenna,
Reference 39
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation f234ad6e-715c-469c-9e54-58776f521487 · outbound
Periodic orbits and their gravitational wave radiations around the Schwarzschild-MOG black hole Zoom and whirl: Eccentric equatorial orbits around spin- ning black holes and their evolution under gravitational radiation reaction,
Reference 40
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 72355963-5c36-48b8-9c90-6aa475996896 · outbound
Periodic orbits and their gravitational wave radiations around the Schwarzschild-MOG black hole Observational signatures of Schwarzschild-MOG black holes in scalar-tensor-vector gravity: shadows and rings with different accretions,
Reference 41
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation e39a020c-db99-48f5-bfe2-13dcd04f2add · outbound
Periodic orbits and their gravitational wave radiations around the Schwarzschild-MOG black hole Testing Strong-field Gravity with Quasi-Periodic Oscillations
Reference 42
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 30ed747b-87b6-4265-93bb-f47008691f86 · outbound
Periodic orbits and their gravitational wave radiations around the Schwarzschild-MOG black hole Neutral particle motion around a Schwarzschild black hole in modified gravity,
Reference 43
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 401dfcbe-aa75-44ea-b670-8a985f5a563d · outbound
Periodic orbits and their gravitational wave radiations around the Schwarzschild-MOG black hole Bambi, Black Holes: A Laboratory for Testing Strong Gravity
Reference 44
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation bd81cb6c-c4c1-4880-bac0-e58f6aae46b3 · outbound
Periodic orbits and their gravitational wave radiations around the Schwarzschild-MOG black hole Particle motion around Schwarzschild- MOG black hole,
Reference 45
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation b739071b-5b46-47e9-8108-6e9b24bfc65f · outbound
Periodic orbits and their gravitational wave radiations around the Schwarzschild-MOG black hole Periodic orbits and their gravitational wave radiations in a polymer black hole in loop quantum gravity,
Reference 46
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation bb3a62ad-3dcc-47ef-9964-b5e0c43a8962 · outbound
Periodic orbits and their gravitational wave radiations around the Schwarzschild-MOG black hole Zoom-whirl orbits in black hole binaries,
Reference 47
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 7a17da5d-f78b-43dd-ae10-2b86ee912609 · outbound
Periodic orbits and their gravitational wave radiations around the Schwarzschild-MOG black hole Periodic orbits around a static spherically symmetric black hole surrounded by quintessence,
Reference 48
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation d688371d-10f8-489c-a304-1480d208909d · outbound
Periodic orbits and their gravitational wave radiations around the Schwarzschild-MOG black hole “kludge” gravitational waveforms for a test-body orbiting a Kerr black hole,
Reference 49
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 95020319-bafa-42ad-9449-0a7dbf403261 · outbound
Periodic orbits and their gravitational wave radiations around the Schwarzschild-MOG black hole Detecting funda- mental fields with LISA observations of gravitational waves from extreme mass-ratio inspirals,
Reference 50
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation beb78501-a4c0-4d6d-9d38-e7138b52c69c · outbound
Periodic orbits and their gravitational wave radiations around the Schwarzschild-MOG black hole Probing vector hair of black holes with extreme- mass-ratio inspirals,
Reference 51
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation a568a3e1-d3ff-4f9c-8d9a-335e23b42470 · inbound
Gravitational waveforms from periodic orbits around a novel regular black hole Periodic orbits and their gravitational wave radiations around the Schwarzschild-MOG black hole
Reference 59
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 67fffcab-08ae-4847-b8d1-1ba12d674b1f · inbound
Probing the nature of Einstein nonlinear Maxwell Yukawa black hole through gravitational wave forms from periodic orbits and quasiperiodic oscillations Periodic orbits and their gravitational wave radiations around the Schwarzschild-MOG black hole
Reference 28
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation fe8ad68d-a630-4f0b-9ebc-c1c10de19fa4 · inbound
Chaotic imprints of dark matter in extreme mass-ratio inspirals Periodic orbits and their gravitational wave radiations around the Schwarzschild-MOG black hole
Reference 79
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 39f449de-8417-446c-b5d1-0c9236044e89 · inbound
Probing Gravitational Wave Signatures from Periodic Orbits of Regular Black Holes in Asymptotically Safe Gravity Periodic orbits and their gravitational wave radiations around the Schwarzschild-MOG black hole
Reference 51
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 96d9fa33-48c1-447f-87eb-584cb39b0600 · inbound
Rational Orbits and Gravitational Waves in Static Spherical Spacetimes: An Open-Source Numerical Framework Periodic orbits and their gravitational wave radiations around the Schwarzschild-MOG black hole
Reference 51
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 458ee5d1-7302-4608-9352-252e27c9e772 · inbound
Rational Orbits and Gravitational Waves in Static Spherical Spacetimes: An Open-Source Numerical Framework Periodic orbits and their gravitational wave radiations around the Schwarzschild-MOG black hole
Reference 51
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2825c8e8-bad1-4dc5-a9d1-665bbc49d5e2 · inbound
Periodic Timelike Motion and Gravitational Wave Signatures around a Magnetically Charged Black Hole Surrounded by Quintessence Periodic orbits and their gravitational wave radiations around the Schwarzschild-MOG black hole
Reference 58
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 82016676-9f8d-4663-8487-9bcdf61b9232 · inbound
Periodic Timelike Motion and Gravitational Wave Signatures around a Magnetically Charged Black Hole Surrounded by Quintessence Periodic orbits and their gravitational wave radiations around the Schwarzschild-MOG black hole
Reference 58
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a85cc296-8f0e-40f4-a65e-316c92bd3df8 · inbound
Gravitational Wave Signatures of Schwarzschild Black Hole in a Generalized Dehnen-Type $(1,4,\gamma)$ Dark Matter Halo Periodic orbits and their gravitational wave radiations around the Schwarzschild-MOG black hole
Reference 84
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 4a011efa-a729-46e2-a453-40816b1f3e54 · inbound
Gravitational wave signatures of magnetized Ernst black hole Periodic orbits and their gravitational wave radiations around the Schwarzschild-MOG black hole
Reference 24
Source-reported events for the cited work
Unavailable: canonical work link unavailable.