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Paper Citation Record · LEDGER

Understanding the Dyer-Roeder approximation as a consequence of local cancellations of projected shear and expansion rate fluctuations

As of 11 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 3 inbound Pith citation observations for arXiv:2106.12913.

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

pith.paper-citation-record.v1
2106.12913 v1

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 2026-08-10T16:52:00.280567Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-11T10:46:02.245443Z

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 2d64eebf-57f8-4c57-afed-6ac3e2fb2b7d · inbound

A First Observational Assessment of Cosmic Backreaction Over an Extended Redshift Range cites this paper.

A First Observational Assessment of Cosmic Backreaction Over an Extended Redshift Range Understanding the Dyer-Roeder approximation as a consequence of local cancellations of projected shear and expansion rate fluctuations

Reference 27

Resolution
verified exact
arxiv_id, observed 2026-05-11T10:46:02.250346Z

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=2026-05-10T15:20:36.792593Z digest=sha256:9dd56cd55ccb3b89f492bb5d8b1a3c862e93e2249a7fa262646d8a96d728edbd

Observation 25298047-fc47-428f-86ea-b63721ec8a7e · inbound

A First Observational Assessment of Cosmic Backreaction Over an Extended Redshift Range cites this paper.

A First Observational Assessment of Cosmic Backreaction Over an Extended Redshift Range Understanding the Dyer-Roeder approximation as a consequence of local cancellations of projected shear and expansion rate fluctuations

Reference 30

Resolution
unresolved
no resolver link, observed 2026-07-12T22:06:19.846972Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-12T22:06:19.846972Z digest=sha256:7dff089f738931635b1df777fd692abc6b63d9aa49365f52b991035d88a2bb30

Observation 7c3f8acd-6786-4d8b-a4ff-de6fc14f759b · inbound

Cosmography for a General Spacetime Centred at Arbitrary Redshift cites this paper.

Cosmography for a General Spacetime Centred at Arbitrary Redshift Understanding the Dyer-Roeder approximation as a consequence of local cancellations of projected shear and expansion rate fluctuations

Reference 42

Resolution
unresolved
no resolver link, observed 2026-08-10T16:52:00.280567Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T16:52:00.280567Z digest=sha256:cc1c135929e8eb5c8dcfb786e98dbe0a5c9ae307d61439e3cf80c2abbb1ea7a2