Paper Citation Record · LEDGER

Geometry of Liouville sectors and the maximum principle

As of 13 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:2111.06112.

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 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 2026-08-12T15:56:13.855384Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-12T15:56:14.172462Z

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 507bed14-f843-40a4-bf2f-ed61d4745714 · inbound

Reference 23

Resolution: metadata mismatch; local_arxiv, observed 2026-08-12T15:56:14.179391Z

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.

Observation faec5427-f8ce-4750-a684-30f39d25942c · inbound

Reference 135

Resolution: unresolved; no resolver link, observed 2026-07-14T04:41:38.511671Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.