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Paper Citation Record · LEDGER

Second-order gauge-invariant formalism for the cosmological observables: Complete verification of their gauge-invariance

As of 12 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 4 inbound Pith citation observations for arXiv:2204.01751.

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

pith.paper-citation-record.v1
2204.01751 v2

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 4 of 4 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00

measured 4 of 4 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-11T01:07:19.891033Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-12T09:26:25.362535Z

Reference resolution

0 of 0 outbound references displayed

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  • malformed identifier0
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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 30efc9b1-1adc-4e1d-864c-e4d099cb807f · inbound

3+1 formalism of the minimally extended varying speed of light model cites this paper.

3+1 formalism of the minimally extended varying speed of light model Second-order gauge-invariant formalism for the cosmological observables: Complete verification of their gauge-invariance

Reference 26

Resolution
unresolved
no resolver link, observed 2026-08-11T01:07:19.891033Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T01:07:19.891033Z digest=sha256:da7bde698f56d0a37bc5875c59bd4677812d75f1e72c27f70d327f9eac6958da

Observation 9de29f5c-fb51-4915-834a-2c37e44d8285 · inbound

Observable Gravitational Wave Strain at Second Order cites this paper.

Observable Gravitational Wave Strain at Second Order Second-order gauge-invariant formalism for the cosmological observables: Complete verification of their gauge-invariance

Reference 76

Resolution
unresolved
no resolver link, observed 2026-08-03T15:50:31.386505Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T15:50:31.386505Z digest=sha256:d6e3e926773b12eddf747c9320f20122de55fe4c7c78ba9a54aa1048a3e3087a

Observation 680459e7-69dc-4d1c-8ad7-edad47d296f4 · inbound

Nonlinear Relativistic Effects on Cosmological Redshift Drift cites this paper.

Nonlinear Relativistic Effects on Cosmological Redshift Drift Second-order gauge-invariant formalism for the cosmological observables: Complete verification of their gauge-invariance

Reference 22

Resolution
verified exact
arxiv_id, observed 2026-05-12T09:26:25.364294Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-05-07T11:04:32.679863Z digest=sha256:7394c47815dc27656cfe78468d5bd8e36a5852bb30f0cba868cf3bf2f4b106c3

Observation 09248e2f-bf7e-417a-9050-127999802026 · inbound

Nonlinear Relativistic Effects on Cosmological Redshift Drift cites this paper.

Nonlinear Relativistic Effects on Cosmological Redshift Drift Second-order gauge-invariant formalism for the cosmological observables: Complete verification of their gauge-invariance

Reference 27

Resolution
unresolved
no resolver link, observed 2026-08-02T15:26:17.212233Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T15:26:17.212233Z digest=sha256:ed9fb33b5453e599e1f8c5c07a7584757263fd1edd034fd7e676abe15b5e6d36