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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:ed502a822fd41d7937157c1a0a3cc2bd5f52385bdc739c2095ffa1ba2c2cb79a

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=sha256:78ea303249ddf94af104a738b7e9dd733b49ce4546c92088eefc392bf654b470

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=sha256:58e075a0e05d53375e74011fdd623a268b9987cdc631a879ba03a75640c67497

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:f4e05c99e3f0f14eea10fe9f6e1686e4bf9e642f755c2cb8da830fa85be5c98e

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=sha256:32a166b956d7a6bbcbe8f2c99b0a9a9ff7908dfc82f33b8276c18a52c99c1fda

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=sha256:21250a4f89571ac1a251f71ce26eae94abe5fada0a0327652c7acb7bed1bbbff

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=sha256:4efb732794244397b0613bc1adcfcb1d8f318839ebd57d24aa97516ce57a6a54

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.

source=pdf_text observed=2026-08-01T18:26:00.627360Z digest=sha256:fa07713fa414b579578df29a23c6aecde1ed1089df4bd148be42a41c28e4c4b9