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Paper Citation Record · LEDGER

Gravitational Lensing By a Massive Object in a Dark Matter Halo. I. Critical Curves and Caustics

As of 11 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:2103.16965.

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

pith.paper-citation-record.v1
2103.16965 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 2026-08-11T06:34:44.6726+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-10T18:22:30.772765Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-10T18:22:30.842973Z

Reference resolution

0 of 0 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved0
  • 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 074345dd-9a10-486b-9334-eee9afe466ac · inbound

Dark matter imprints on a caustic encounter in an effective spinning black hole binary lens cites this paper.

Dark matter imprints on a caustic encounter in an effective spinning black hole binary lens Gravitational Lensing By a Massive Object in a Dark Matter Halo. I. Critical Curves and Caustics

Reference 16

Resolution
unresolved
no resolver link, observed 2026-07-31T23:54:24.006704Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-07-31T23:54:24.006704Z digest=sha256:78bb2a6118bed636888831d1da7e8aeea42aef4e62a5afe6c76e70266692781e

Observation a9af4f24-8f2d-4f8f-a196-e9fb37d13a53 · inbound

Optical Signatures of Sgr A* and M87* with Dark Matter Halos cites this paper.

Optical Signatures of Sgr A* and M87* with Dark Matter Halos Gravitational Lensing By a Massive Object in a Dark Matter Halo. I. Critical Curves and Caustics

Reference 77

Resolution
verified exact
local_arxiv, observed 2026-08-10T18:22:30.850905Z

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=2026-08-10T18:22:30.772765Z digest=sha256:52419b41b3a1fc34fda70a0b57a504dd44b4ae0c93846b6c035d9fa8d7662f55