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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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  • verified fuzzy0
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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=sha256:46ed39a69ab3c934eb6efe55b54dea7d7ae7ddfb8d171a4a585f88d52bdb2853

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:a279565bdf219be66ffed2fc435b426e21aa579b001342b447a6c18fb7332762

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:ba49b0d3a5f2e76785945079c3bbddcca4548ff7182c5448c761c73e0de11f14

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:f98fcd56e5f2ecbe664b247a97b39e341ee6171c531a068fb7d69366f91499ad

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=sha256:22babe139e84e041c225466db92b1f349af799a0c56ffe3b1c4be58856b5ec4f