Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links
Paper Citation Record · LEDGER
Realization problems of graphs as Reeb graphs of Morse functions with prescribed preimages
As of 13 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 8 inbound Pith citation observations for arXiv:2108.06913.
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 2026-08-12T13:48:56.176209Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-07-01T14:15:47.296036Z
Reference resolution
0 of 0 outbound references displayed
- verified exact0
- verified fuzzy0
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- 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 8c44caa0-8d7b-440f-b626-036953d4cb56 · inbound
On a classification of Morse functions on $3$-dimensional manifolds represented as connected sums of manifolds of Heegaard genus one cites this paper.
On a classification of Morse functions on $3$-dimensional manifolds represented as connected sums of manifolds of Heegaard genus one Realization problems of graphs as Reeb graphs of Morse functions with prescribed preimages
Reference 11
- Resolution
- unresolved
- no resolver link, observed 2026-08-12T13:48:56.176209Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2186d5b8-8203-48de-b607-69d124b5377c · inbound
Characterizing $3$-dimensional manifolds represented as connected sums of Lens spaces, $S^2 \times S^1$, and torus bundles over the circle by certain Morse-Bott functions cites this paper.
Characterizing $3$-dimensional manifolds represented as connected sums of Lens spaces, $S^2 \times S^1$, and torus bundles over the circle by certain Morse-Bott functions Realization problems of graphs as Reeb graphs of Morse functions with prescribed preimages
Reference 10
- Resolution
- unresolved
- no resolver link, observed 2026-08-11T15:08:07.702217Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation fc129e00-a312-4f25-9b5e-1ee84728fe1c · inbound
Morse functions with regular level sets consisting of $2$-dimensional spheres, $2$-dimensional tori, or Klein Bottles cites this paper.
Morse functions with regular level sets consisting of $2$-dimensional spheres, $2$-dimensional tori, or Klein Bottles Realization problems of graphs as Reeb graphs of Morse functions with prescribed preimages
Reference 15
- Resolution
- verified exact
- arxiv_id, observed 2026-05-10T23:40:51.401306Z
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 b77767b0-dd9c-48f7-b1f6-82a7eb8a93f5 · inbound
Representations of Reeb spaces via simplified graphs and examples cites this paper.
Representations of Reeb spaces via simplified graphs and examples Realization problems of graphs as Reeb graphs of Morse functions with prescribed preimages
Reference 9
- Resolution
- verified exact
- arxiv_id, observed 2026-05-13T05:12:18.408466Z
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 665e19f4-a311-46b6-8261-91e12cf76e95 · inbound
Representations of Reeb spaces via simplified graphs and examples cites this paper.
Representations of Reeb spaces via simplified graphs and examples Realization problems of graphs as Reeb graphs of Morse functions with prescribed preimages
Reference 9
- Resolution
- verified exact
- arxiv_id, observed 2026-07-01T14:15:47.297500Z
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 ceba27a0-8b90-41eb-8a41-911c8e1d3fdf · inbound
Compactifying real analytic functions and resulting Reeb spaces cites this paper.
Compactifying real analytic functions and resulting Reeb spaces Realization problems of graphs as Reeb graphs of Morse functions with prescribed preimages
Reference 11
- 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 99e94745-ffe6-43c7-acd4-7efcce6bd589 · 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 Realization problems of graphs as Reeb graphs of Morse functions with prescribed preimages
Reference 14
- Resolution
- unresolved
- no resolver link, observed 2026-08-01T18:58:35.191467Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e167c158-d63a-4da3-8877-28e5efa14e5a · 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 Realization problems of graphs as Reeb graphs of Morse functions with prescribed preimages
Reference 20
- Resolution
- unresolved
- no resolver link, observed 2026-08-05T00:54:16.725125Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.