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Paper Citation Record · LEDGER

Time Delay of Light in the Gravitational lensing of Supermassive Black Holes in Dark Matter Halos

As of 11 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 3 inbound Pith citation observations for arXiv:2403.05682.

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

pith.paper-citation-record.v1
2403.05682 v3

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 3 of 3 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 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-11T18:01:14.022417Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-10T17:11:33.730371Z

Reference resolution

0 of 0 outbound references displayed

  • verified exact0
  • verified fuzzy0
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  • parse uncertain0
  • 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 d7ce74ac-dbba-4297-95c8-e407c2dc67ff · inbound

Geodesics, accretion disk, gravitational lensing, time delay, and effects on neutrinos induced by a non-commutative black hole cites this paper.

Geodesics, accretion disk, gravitational lensing, time delay, and effects on neutrinos induced by a non-commutative black hole Time Delay of Light in the Gravitational lensing of Supermassive Black Holes in Dark Matter Halos

Reference 112

Resolution
unresolved
no resolver link, observed 2026-08-11T18:01:14.022417Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T18:01:14.022417Z digest=sha256:132a72a066de63492e86f0dd097e31d1aad503733886cbfbda7935ffb057d70d

Observation 8bc08692-754c-4858-a871-b736aecfb7d1 · inbound

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

Black hole in the Dekel-Zhao dark matter profile Time Delay of Light in the Gravitational lensing of Supermassive Black Holes in Dark Matter Halos

Reference 19

Resolution
verified exact
local_arxiv, observed 2026-08-10T17:11:33.733947Z

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=2026-08-10T17:11:33.164738Z digest=sha256:af893453a585503da699d8c501b9ee7ae6f21c3bcd14f8acdfbd5468b31347f1

Observation 0ea6d095-48fb-473b-b803-bba90a171a0e · inbound

Eccentricity-Modulated Phase Degeneracy and Distinguishability between Dark Matter and Accretion Disk Environmental Effects in EMRIs cites this paper.

Eccentricity-Modulated Phase Degeneracy and Distinguishability between Dark Matter and Accretion Disk Environmental Effects in EMRIs Time Delay of Light in the Gravitational lensing of Supermassive Black Holes in Dark Matter Halos

Reference 63

Resolution
unresolved
no resolver link, observed 2026-07-13T04:38:50.936878Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-13T04:38:50.936878Z digest=sha256:4fa86a1963165457ac5226e269487afa78d931254643a65da47fab8282030290