Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links
Paper Citation Record · LEDGER
Sobolev spaces via chains in metric measure spaces
As of 13 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:2408.15071.
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 2026-08-13T06:32:02.005865+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-09T21:25:23.408391Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-08-09T21:25:23.535020Z
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 0b0d35cc-4074-496f-8a63-67b3f064b69c · inbound
Geometric characterizations of ${\sf PI}$ spaces: an overview of some modern techniques cites this paper.
Geometric characterizations of ${\sf PI}$ spaces: an overview of some modern techniques Sobolev spaces via chains in metric measure spaces
Reference 10
- Resolution
- verified exact
- local_arxiv, observed 2026-08-09T21:25:23.540615Z
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 a16852de-d536-4451-b729-2cafd6116665 · inbound
Stability of local Riemannian Ricci curvature lower bounds cites this paper.
Stability of local Riemannian Ricci curvature lower bounds Sobolev spaces via chains in metric measure spaces
Reference 77
- Resolution
- unresolved
- no resolver link, observed 2026-07-30T14:14:07.402194Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.