Paper Citation Record · LEDGER

Inner radius and energy conditions of dark matter halos surrounding Schwarzschild black holes

As of 22 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 14 inbound Pith citation observations for arXiv:2408.05417.

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

pith.paper-citation-record.v1
2408.05417 v2

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measured 0 of 0 reference resolution

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measured 14 of 14 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+00:00

measured 14 of 14 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T23:57:33.419744Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-02T09:06:48.463658Z

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Outbound references

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Pith citing papers

Observation 9499588d-fb55-4ad1-9cbb-37fc19c9c175 · inbound

Tidal Love numbers and quasi-normal modes of the Schwarzschild-Hernquist black hole cites this paper.

Tidal Love numbers and quasi-normal modes of the Schwarzschild-Hernquist black hole Inner radius and energy conditions of dark matter halos surrounding Schwarzschild black holes

Reference 103

Resolution: unresolved; no resolver link, observed 2026-08-11T11:58:14.115877Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7a5245a7-8dd9-4e3c-b17d-2417f5555c92 · inbound

Black hole in the Dekel-Zhao dark matter profile cites this paper.

Black hole in the Dekel-Zhao dark matter profile Inner radius and energy conditions of dark matter halos surrounding Schwarzschild black holes

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-10T17:11:33.161440Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f12adfe3-62c9-4ee2-ac53-357e0ff71d2d · inbound

On Equation of State of Dark Matter around Massive Black Holes cites this paper.

On Equation of State of Dark Matter around Massive Black Holes Inner radius and energy conditions of dark matter halos surrounding Schwarzschild black holes

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-10T17:08:11.743591Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1b58789f-5f36-413e-8974-6ae9a2a3f81b · inbound

Periodic orbits and their gravitational wave radiations in black hole with dark matter halo cites this paper.

Periodic orbits and their gravitational wave radiations in black hole with dark matter halo Inner radius and energy conditions of dark matter halos surrounding Schwarzschild black holes

Reference 78

Resolution: unresolved; no resolver link, observed 2026-08-07T22:34:37.039069Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a98c98cc-1792-44d6-8bb5-acf78a2e017d · inbound

Supermassive black hole in NGC 4649 (M60) with a dark matter halo: Impact on shadow measurements and thermodynamic properties cites this paper.

Supermassive black hole in NGC 4649 (M60) with a dark matter halo: Impact on shadow measurements and thermodynamic properties Inner radius and energy conditions of dark matter halos surrounding Schwarzschild black holes

Reference 44

Resolution: unresolved; no resolver link, observed 2026-08-15T23:57:33.419744Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b1fd177f-1b5a-4a59-a30c-927dcc14d622 · inbound

Relativistic structure of a supermassive black hole embedded in the dark matter halo of NGC 4649 (M60) cites this paper.

Relativistic structure of a supermassive black hole embedded in the dark matter halo of NGC 4649 (M60) Inner radius and energy conditions of dark matter halos surrounding Schwarzschild black holes

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-15T23:46:51.567681Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b3de9731-d240-4594-b907-84c7bcf95f90 · inbound

New analytical model of rotating black hole with dark matter halo: constraints from EHT observations and accretion disk cites this paper.

New analytical model of rotating black hole with dark matter halo: constraints from EHT observations and accretion disk Inner radius and energy conditions of dark matter halos surrounding Schwarzschild black holes

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-05T13:39:52.558883Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 449bca55-1ce1-4b05-8c55-3316580d0308 · inbound

Shadow and Quasi-Normal Modes of Schwarzschild-Hernquist Black Hole cites this paper.

Shadow and Quasi-Normal Modes of Schwarzschild-Hernquist Black Hole Inner radius and energy conditions of dark matter halos surrounding Schwarzschild black holes

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-05T10:35:27.855728Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f18b6074-bb36-4991-9c13-f201f2050939 · inbound

Beyond general relativity: gravitational waves in non-minimally coupled theories cites this paper.

Beyond general relativity: gravitational waves in non-minimally coupled theories Inner radius and energy conditions of dark matter halos surrounding Schwarzschild black holes

Reference 71

Resolution: unresolved; no resolver link, observed 2026-08-04T07:34:05.127940Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 42a6897d-1673-4f3f-b2d2-6be77950a7c4 · inbound

Black hole spacetimes with dark matter spikes: Energy-momentum tensor and backreaction effects cites this paper.

Black hole spacetimes with dark matter spikes: Energy-momentum tensor and backreaction effects Inner radius and energy conditions of dark matter halos surrounding Schwarzschild black holes

Reference 45

Resolution: unresolved; no resolver link, observed 2026-08-03T22:05:51.566965Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c503824a-03f3-459b-ab51-90e3d45e0cb2 · inbound

Geometric properties of slowly rotating black holes embedded in matter environments cites this paper.

Geometric properties of slowly rotating black holes embedded in matter environments Inner radius and energy conditions of dark matter halos surrounding Schwarzschild black holes

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-03T01:15:25.201709Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 91a66743-5390-4023-9c3f-877d5c8abfbb · inbound

Axial tidal Love numbers of black holes in matter environments cites this paper.

Axial tidal Love numbers of black holes in matter environments Inner radius and energy conditions of dark matter halos surrounding Schwarzschild black holes

Reference 100

Resolution: verified exact; arxiv_id, observed 2026-05-09T06:30:43.504748Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 401c19f4-af24-4dd4-bcf0-2688965b3187 · inbound

Constraints on Schwarzschild Black Hole in a Generalized Dehnen-Type $(1,4,\gamma)$ Dark Matter Halo via the S2 Star Orbit around Sgr A$^\star$ cites this paper.

Constraints on Schwarzschild Black Hole in a Generalized Dehnen-Type $(1,4,\gamma)$ Dark Matter Halo via the S2 Star Orbit around Sgr A$^\star$ Inner radius and energy conditions of dark matter halos surrounding Schwarzschild black holes

Reference 47

Resolution: verified exact; arxiv_id, observed 2026-05-22T05:44:39.210154Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 476e5f04-30fa-4216-bc9a-cc658f6f1e23 · inbound

Gravitational Wave Signatures of Schwarzschild Black Hole in a Generalized Dehnen-Type $(1,4,\gamma)$ Dark Matter Halo cites this paper.

Gravitational Wave Signatures of Schwarzschild Black Hole in a Generalized Dehnen-Type $(1,4,\gamma)$ Dark Matter Halo Inner radius and energy conditions of dark matter halos surrounding Schwarzschild black holes

Reference 37

Resolution: verified exact; arxiv_id, observed 2026-07-02T09:06:48.465152Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.