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Paper Citation Record · LEDGER

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

As of 11 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 12 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

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 12 of 12 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 12 of 12 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-11T11:58:14.115877Z

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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0 of 0 outbound references displayed

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No source-named external measurement is stored.

Outbound references

No outbound reference observations are available for this paper version.

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.

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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.

source=pdf_text observed=2026-08-10T17:11:33.161440Z digest=sha256:5c296b19a123370cfeffdddac3a64a067d072d4a02ed802bdb644938913ea6e3

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.

source=pdf_text observed=2026-08-10T17:08:11.743591Z digest=sha256:ab317350c308d79ba046afd1436d84e685f9033334240f74be501dc9473c254e

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.

source=pdf_text observed=2026-08-07T22:34:37.039069Z digest=sha256:bf9e696d8c513754bb28251c683b8ccf1d15827dab6d15a68c75377a08d8197a

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.

source=pdf_text observed=2026-08-05T13:39:52.558883Z digest=sha256:ce9dce9800a30a79b86f8437aad01b0d92cb149bdda9f8aa5e2287f2045b2067

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.

source=pdf_text observed=2026-08-05T10:35:27.855728Z digest=sha256:4053369e5fcfbd57dc8eb5184fac0f858ed3a6eb627a5293eef2e7e5d3b3d424

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.

source=pdf_text observed=2026-08-04T07:34:05.127940Z digest=sha256:92e0151ff4ecc0674d37c964f77393703b4d493e47c7efa967e548609c2a1121

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.

source=pdf_text observed=2026-08-03T22:05:51.566965Z digest=sha256:38f80c0c02bd889693bbdaaae079ff77010b27e366714b2b3fa3cb71e37fbb2a

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.

source=pdf_text observed=2026-08-03T01:15:25.201709Z digest=sha256:9d9b12359915e65021c5a5b151507a7d547874870ea0abf50e562620246ea902

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-05-08T18:23:31.951674Z digest=sha256:11046b531c15ddc9095997b9083a7ef92cc41eaef29bb9fd27644d7bf257a2c4

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-05-22T05:41:31.066742Z digest=sha256:0264292631201c758e1e1d10b6f784a5b53038df03bb0fa9c782c0c8faca61c8

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-07-02T09:06:12.138701Z digest=sha256:867d15082466c4b684e6a3b1906382baa47f545cef9749a656901e6ec91e87a3