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Paper Citation Record · LEDGER

New Approximation of Magnification Statistics for Random Microlensing of Magnified Sources

As of 13 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:2104.12009.

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

pith.paper-citation-record.v1
2104.12009 v1

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 2026-08-13T06:32:02.005865+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-12T15:58:55.958529Z

measured 1 of 1 external citation measurements

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

Source: pith, observed 2026-08-10T05:30:23.456663Z

Reference resolution

0 of 0 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved0
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

4
pith, observed 2026-08-10T05:30:23.456663Z

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation 638b9a53-9b06-4eeb-8c51-37cd778ec0ea · inbound

Constraints on primordial black holes from the observed number of Icarus-like ultrahigh magnification events cites this paper.

Constraints on primordial black holes from the observed number of Icarus-like ultrahigh magnification events New Approximation of Magnification Statistics for Random Microlensing of Magnified Sources

Reference 20

Resolution
unresolved
no resolver link, observed 2026-08-12T15:58:55.958529Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T15:58:55.958529Z digest=sha256:74b272d6f65556f2a61814c3ab8c9f97ca5790ce7fae45fee9fcdd3aae2f06ba

Observation 1e7213dc-f5c0-496e-8ea9-87f38bdb800b · inbound

Rootin' Tootin' Efficient Ray Shootin': Creating Microlensing Magnification Maps with GPUs cites this paper.

Rootin' Tootin' Efficient Ray Shootin': Creating Microlensing Magnification Maps with GPUs New Approximation of Magnification Statistics for Random Microlensing of Magnified Sources

Reference 7

Resolution
verified exact
local_arxiv, observed 2026-08-07T11:34:33.916931Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-07T11:34:24.010935Z digest=sha256:fca9ae39af9fa99c97040b842c51a31a88b9f619d252b6f44fbc311ccc777be5