Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links
Paper Citation Record · LEDGER
On Reeb graphs induced from smooth functions on closed or open manifolds
As of 13 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 5 inbound Pith citation observations for arXiv:1908.04340.
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 2026-08-05T00:54:16.362099Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-07-01T14:15:47.323082Z
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 f83a5702-ddb1-485a-aebf-e6970078b7a7 · inbound
Representations of Reeb spaces via simplified graphs and examples cites this paper.
Representations of Reeb spaces via simplified graphs and examples On Reeb graphs induced from smooth functions on closed or open manifolds
Reference 7
- Resolution
- verified exact
- arxiv_id, observed 2026-05-13T05:12:18.405768Z
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 52c6cf7a-c1f9-400c-b88d-9c5839894632 · inbound
Representations of Reeb spaces via simplified graphs and examples cites this paper.
Representations of Reeb spaces via simplified graphs and examples On Reeb graphs induced from smooth functions on closed or open manifolds
Reference 7
- Resolution
- verified exact
- arxiv_id, observed 2026-07-01T14:15:47.324583Z
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 8f7d357a-77a0-4415-833e-1a6e71360056 · inbound
Compactifying real analytic functions and resulting Reeb spaces cites this paper.
Compactifying real analytic functions and resulting Reeb spaces On Reeb graphs induced from smooth functions on closed or open manifolds
Reference 9
- Resolution
- unresolved
- no resolver link, observed 2026-07-11T17:12:07.354182Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 946b64b2-bdde-40cf-a1c7-71c084a563f1 · inbound
Regions represented as foliated forms and natural smooth maps onto them cites this paper.
Regions represented as foliated forms and natural smooth maps onto them On Reeb graphs induced from smooth functions on closed or open manifolds
Reference 12
- Resolution
- unresolved
- no resolver link, observed 2026-08-01T18:58:34.939137Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d4a3b6e0-0d81-40bf-ae2f-ad35a2329ec2 · inbound
Fundamental examples of height functions on closed manifolds and their 1st derivatives cites this paper.
Fundamental examples of height functions on closed manifolds and their 1st derivatives On Reeb graphs induced from smooth functions on closed or open manifolds
Reference 18
- Resolution
- unresolved
- no resolver link, observed 2026-08-05T00:54:16.362099Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.