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Paper Citation Record · LEDGER

Gravitational Lensing of Spherically Symmetric Black Holes in Dark Matter Halos

As of 11 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 5 inbound Pith citation observations for arXiv:2312.15760.

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

pith.paper-citation-record.v1
2312.15760 v4

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

measured 5 of 5 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-10T23:00:04.925970Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-10T07:37:04.784382Z

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 d1df369f-cef5-41e3-8b2a-c34b8fcf24aa · inbound

Strong gravitational lensing effects around rotating regular black holes cites this paper.

Strong gravitational lensing effects around rotating regular black holes Gravitational Lensing of Spherically Symmetric Black Holes in Dark Matter Halos

Reference 52

Resolution
unresolved
no resolver link, observed 2026-08-10T23:00:04.925970Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T23:00:04.925970Z digest=sha256:9d12efb1e2d19421a0d918d0a0706ba90d82043d6d0efe58e8d92a4b38c75554

Observation 5918571f-bb0d-4aeb-8bf9-af30c8d618d5 · inbound

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

Black hole in the Dekel-Zhao dark matter profile Gravitational Lensing of Spherically Symmetric Black Holes in Dark Matter Halos

Reference 23

Resolution
unresolved
no resolver link, observed 2026-08-10T17:11:33.175049Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T17:11:33.175049Z digest=sha256:3d53624ebed73d5f5c0622127405f20fa9d0365eb3c88171242c4c8a1ebfade5

Observation 9741bd8d-d391-4a3a-a80c-aeca465f878a · inbound

Reference-renormalized curvature-primitive Gauss-Bonnet formalism for finite-distance weak gravitational lensing in static spherical spacetimes cites this paper.

Reference-renormalized curvature-primitive Gauss-Bonnet formalism for finite-distance weak gravitational lensing in static spherical spacetimes Gravitational Lensing of Spherically Symmetric Black Holes in Dark Matter Halos

Reference 30

Resolution
verified exact
arxiv_id, observed 2026-05-10T07:37:04.785706Z

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=2026-05-10T07:34:27.404141Z digest=sha256:c638b75de7d2699e25f790bdd651a2e5753f307598f5a48daa6758c2a54d2b43

Observation bc0d7189-858f-4ef6-b6df-d511f5e6191e · 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 Gravitational Lensing of Spherically Symmetric Black Holes in Dark Matter Halos

Reference 64

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:e07e78118cab1c0747d48670ccce395a1cc8d6fbc925453ae976fa2a0c72efb9

Observation 058c472f-f668-430e-9a15-06d72f69710c · inbound

Refining primordial black hole dark matter constraints with dust heating: the role of spin and halo profile dependence cites this paper.

Refining primordial black hole dark matter constraints with dust heating: the role of spin and halo profile dependence Gravitational Lensing of Spherically Symmetric Black Holes in Dark Matter Halos

Reference 5

Resolution
malformed identifier
no resolver link, observed 2026-08-02T00:31:10.921795Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T00:31:10.921795Z digest=sha256:45c91465653332ec9153ba53660c3faaa13d131378cb1f87d04ce999175eb22a