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Paper Citation Record · LEDGER

Apparent and emergent dark matter around a Schwarzschild black hole

As of 10 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:2405.07531.

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

pith.paper-citation-record.v1
2405.07531 v2

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 2 of 2 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-08T23:50:42.708573Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-07-13T06:59:26.792765Z

Reference resolution

0 of 0 outbound references displayed

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

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 149a6f62-4fde-4575-9fd9-1f6ffe0b2f1e · inbound

Analyzing Deflection Angles and Photon Sphere Dynamics of Magnetically Charged Black Holes in Nonlinear Electrodynamic cites this paper.

Analyzing Deflection Angles and Photon Sphere Dynamics of Magnetically Charged Black Holes in Nonlinear Electrodynamic Apparent and emergent dark matter around a Schwarzschild black hole

Reference 72

Resolution
unresolved
no resolver link, observed 2026-08-08T23:50:42.708573Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-08T23:50:42.708573Z digest=sha256:5429f4f02a14cfc3aad36fad279d5709049706671c113487059a3d6674554698

Observation 913a1024-c4b6-493e-b4b5-25fe91e44e82 · inbound

A Self-Consistent Exact Solution from Einstein Gravity: Black Hole in King $\left(2,3,0\right)$ Dark Matter Halos cites this paper.

A Self-Consistent Exact Solution from Einstein Gravity: Black Hole in King $\left(2,3,0\right)$ Dark Matter Halos Apparent and emergent dark matter around a Schwarzschild black hole

Reference 25

Resolution
verified exact
local_arxiv, observed 2026-07-13T06:59:26.797463Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-07-13T06:53:29.838339Z digest=sha256:120277f091a17852bf11fc42a1760b749b1f7b300d8bc1d372f7b9db37892d6b