Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links
Paper Citation Record · LEDGER
First Betti number and collapse
As of 12 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:2209.12628.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-07T14:58:13.315146Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-05-13T02:17:07.423826Z
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 db3bf34d-4399-48f9-9e1b-5520f7b4ea5b · inbound
Instability of the fundamental group for non-collapsed Ricci-limits cites this paper.
Instability of the fundamental group for non-collapsed Ricci-limits First Betti number and collapse
Reference 16
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T14:58:13.315146Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 476aab83-1b26-4583-8b0f-bf281e61d5a6 · inbound
Structure of Torus Fibration Under the First Betti Number Restriction cites this paper.
Structure of Torus Fibration Under the First Betti Number Restriction First Betti number and collapse
Reference 31
- Resolution
- verified exact
- arxiv_id, observed 2026-05-13T02:17:07.426476Z
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.