Paper Citation Record · LEDGER

Expansion by regions meets angular integrals

As of 7 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 3 inbound Pith citation observations for arXiv:2405.13120.

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

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 2026-08-07T06:34:17.273281+00:00

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-05T17:42:27.062816Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-06-29T06:33:11.961438Z

0 of 0 outbound references displayed

External citation measurements

No source-named external measurement is stored.

No outbound reference observations are available for this paper version.

Observation e11834aa-2ec9-4edf-abc8-0c1f054bd5e0 · inbound

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-05T17:42:27.062816Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 84ea880f-fe9a-4ff4-a7cd-dcf2a2cd592e · inbound

Reference 84

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 0c0003fd-c26b-478d-9790-23a85d963fd4 · inbound

Reference 99

Resolution: metadata mismatch; arxiv_id, observed 2026-06-29T06:33:11.962784Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.