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Paper Citation Record · LEDGER

Deformed black hole immersed in dark matter spike

As of 18 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 5 inbound Pith citation observations for arXiv:2104.13158.

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

pith.paper-citation-record.v1
2104.13158 v1

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 5 of 5 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00

measured 5 of 5 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-11T19:09:42.773927Z

measured 1 of 1 external citation measurements

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

Source: pith, observed 2026-08-05T02:28:24.338817Z

Reference resolution

0 of 0 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved0
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

0
pith, observed 2026-08-05T02:28:24.338817Z

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation 983353ee-f646-49d4-a0ae-5558cf8dcc6e · inbound

Probing black holes via quasinormal modes in a dark energy-induced dark matter cites this paper.

Probing black holes via quasinormal modes in a dark energy-induced dark matter Deformed black hole immersed in dark matter spike

Reference 22

Resolution
unresolved
no resolver link, observed 2026-08-11T19:09:42.773927Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T19:09:42.773927Z digest=sha256:e9549fc5424be9d7f7fb0f493c199223608ee46cc711ae8c0f39b104930f3e76

Observation 14c7e602-e3db-46ae-9a48-ceb226c5cc74 · inbound

Black holes surrounded by dark matter spike: Spacetime metrics and gravitational wave ringdown waveforms cites this paper.

Black holes surrounded by dark matter spike: Spacetime metrics and gravitational wave ringdown waveforms Deformed black hole immersed in dark matter spike

Reference 21

Resolution
verified exact
arxiv_id, observed 2026-05-23T04:52:34.019045Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-05-23T04:50:40.516949Z digest=sha256:9eb371b9914770d3145fa30111f8cedc35cfd980749ebfe51feb48a03301cacd

Observation df3adff7-3144-4d20-ad2e-3bdc48dd22d2 · inbound

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

Black hole in the Dekel-Zhao dark matter profile Deformed black hole immersed in dark matter spike

Reference 24

Resolution
unresolved
no resolver link, observed 2026-08-10T17:11:33.177482Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T17:11:33.177482Z digest=sha256:e5567b033fe44c4626dc1fbfe7bac5330d62e69b2a8205066fa6f28f78cb4f93

Observation 0468cb48-f6c7-4e58-be40-36e6853d80b9 · 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 Deformed black hole immersed in dark matter spike

Reference 72

Resolution
unresolved
no resolver link, observed 2026-08-07T22:34:37.019200Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T22:34:37.019200Z digest=sha256:917d4e7d04042347c51d2adfc9accfc507542c0624c72a650e533735d7d87bd5

Observation 109a231e-f2b0-4ec8-bc2b-15115737ec5f · inbound

Observational Limits on Einasto Dark Matter Parameters from Event Horizon Telescope Images of Sgr A$^{*}$ and M87$^{*}$ cites this paper.

Observational Limits on Einasto Dark Matter Parameters from Event Horizon Telescope Images of Sgr A$^{*}$ and M87$^{*}$ Deformed black hole immersed in dark matter spike

Reference 68

Resolution
verified exact
local_arxiv, observed 2026-07-10T19:37:33.722079Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-07-11T11:50:26.030339Z digest=sha256:547f20309db83ff40e05181492aa41acae90c010eaf8a41ade84e93bae9b03a7