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Paper Citation Record · LEDGER

Thermodynamics and Null Geodesics of a Schwarzschild Black Hole Surrounded by a Dehnen Type Dark Matter Halo

As of 11 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 9 inbound Pith citation observations for arXiv:2407.02872.

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

pith.paper-citation-record.v1
2407.02872 v3

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 9 of 9 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+00:00

measured 9 of 9 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-10T23:44:15.069677Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-02T09:06:48.445664Z

Reference resolution

0 of 0 outbound references displayed

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External citation measurements

No source-named external measurement is stored.

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation 542017d7-3500-4da8-9b6e-20801122e31a · inbound

Quasinormal modes and shadow of Schwarzschild black holes embedded in a Dehnen type dark matter halo exhibiting string cloud cites this paper.

Quasinormal modes and shadow of Schwarzschild black holes embedded in a Dehnen type dark matter halo exhibiting string cloud Thermodynamics and Null Geodesics of a Schwarzschild Black Hole Surrounded by a Dehnen Type Dark Matter Halo

Reference 17

Resolution
unresolved
no resolver link, observed 2026-08-10T23:44:15.069677Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation c548f2b4-e41b-4bc5-8744-a65582712fdb · inbound

Effect of dark matter halo on transonic accretion flow around a galactic black hole cites this paper.

Effect of dark matter halo on transonic accretion flow around a galactic black hole Thermodynamics and Null Geodesics of a Schwarzschild Black Hole Surrounded by a Dehnen Type Dark Matter Halo

Reference 42

Resolution
unresolved
no resolver link, observed 2026-08-10T20:48:32.030219Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T20:48:32.030219Z digest=sha256:11fb127f5af0e889a02bed1954818f324c328b7e126e621a40a84d6f7b9094f3

Observation 0652d653-5a61-4b48-92f7-f1015c8f2ff4 · inbound

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

Black hole in the Dekel-Zhao dark matter profile Thermodynamics and Null Geodesics of a Schwarzschild Black Hole Surrounded by a Dehnen Type Dark Matter Halo

Reference 41

Resolution
unresolved
no resolver link, observed 2026-08-10T17:11:33.229106Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T17:11:33.229106Z digest=sha256:a8003156774d83b7edd7581aaa9bd62ddf479c2dec5598e840e92a14d8e1f07b

Observation 0cfbe8b8-81b4-45a2-a18a-4c8600b49081 · inbound

Astrophysical properties of static black holes embedded in a Dehnen type dark matter halo with the presence of quintessential field cites this paper.

Astrophysical properties of static black holes embedded in a Dehnen type dark matter halo with the presence of quintessential field Thermodynamics and Null Geodesics of a Schwarzschild Black Hole Surrounded by a Dehnen Type Dark Matter Halo

Reference 36

Resolution
unresolved
no resolver link, observed 2026-08-10T14:27:18.306091Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T14:27:18.306091Z digest=sha256:21e4bbca352edf58b5e4952f2a58ebdbe52d744d8df044c10da6e74481248dd0

Observation 72ac83eb-7d56-4b96-9bc8-73b867fa211e · 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 Thermodynamics and Null Geodesics of a Schwarzschild Black Hole Surrounded by a Dehnen Type Dark Matter Halo

Reference 16

Resolution
unresolved
no resolver link, observed 2026-08-05T13:39:53.088220Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T13:39:53.088220Z digest=sha256:3934f5c6e86bdfc2a26fe7f08fda3d0e848307dcfab9b5a2eddde744857ae6b0

Observation 29ebaa2d-9ee2-4733-9f7d-38326bed7c8d · inbound

Plasma effects on gravitational lensing and shadow observables of a Kerr-like black hole in a dark matter halo cites this paper.

Plasma effects on gravitational lensing and shadow observables of a Kerr-like black hole in a dark matter halo Thermodynamics and Null Geodesics of a Schwarzschild Black Hole Surrounded by a Dehnen Type Dark Matter Halo

Reference 64

Resolution
unresolved
no resolver link, observed 2026-07-14T22:53:46.443816Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-14T22:53:46.443816Z digest=sha256:4747af05684c3f233aaf356ec25cd1cb3bdb89741b0a1fb3832c2b8dca48a786

Observation 0e34a730-9e85-4734-bb16-6c60d13839c0 · 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$^\star$ Thermodynamics and Null Geodesics of a Schwarzschild Black Hole Surrounded by a Dehnen Type Dark Matter Halo

Reference 48

Resolution
verified exact
arxiv_id, observed 2026-05-22T05:44:39.123707Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-05-22T05:41:31.066742Z digest=sha256:9dd1d3dc6b707aa8ed4dfd1b22c073814455002b36330d8b8e92796e90bc5337

Observation 728f44e6-0ea7-41dd-b40c-34552bf51b72 · 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 Thermodynamics and Null Geodesics of a Schwarzschild Black Hole Surrounded by a Dehnen Type Dark Matter Halo

Reference 25

Resolution
verified exact
arxiv_id, observed 2026-07-02T09:06:48.446960Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-07-02T09:06:12.138701Z digest=sha256:45deacdb84de3a4a241a5c39942566ce51738e0781b1733a815038de6d18f732

Observation 0c9a75bf-b144-49eb-bbbf-f143ff689b06 · inbound

Spontaneous scalarization around a black hole in a dark matter halo cites this paper.

Spontaneous scalarization around a black hole in a dark matter halo Thermodynamics and Null Geodesics of a Schwarzschild Black Hole Surrounded by a Dehnen Type Dark Matter Halo

Reference 38

Resolution
unresolved
no resolver link, observed 2026-08-01T18:26:00.627360Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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