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 3-dimensional closed orientable manifolds with finitely many singular values
As of 18 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 12 inbound Pith citation observations for arXiv:1902.08841.
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 2026-08-18T06:34:40.430872+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-15T19:11:30.201632Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-07-01T14:15:47.303940Z
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 30d79fc1-6401-4975-8d40-d8972e409e84 · inbound
On Reeb graphs induced from smooth functions on closed or open manifolds cites this paper.
On Reeb graphs induced from smooth functions on closed or open manifolds On Reeb graphs induced from smooth functions on 3-dimensional closed orientable manifolds with finitely many singular values
Reference 5
- Resolution
- unresolved
- no resolver link, observed 2026-08-14T13:57:08.816445Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation eeb2240b-1c9c-499e-b0cd-c836f8304340 · 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 On Reeb graphs induced from smooth functions on 3-dimensional closed orientable manifolds with finitely many singular values
Reference 9
- Resolution
- unresolved
- no resolver link, observed 2026-08-12T13:48:56.169772Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e62d9810-9768-49b0-8b5e-e41dcb2d6eee · inbound
Arrangements of small circles for Morse-Bott functions cites this paper.
Arrangements of small circles for Morse-Bott functions On Reeb graphs induced from smooth functions on 3-dimensional closed orientable manifolds with finitely many singular values
Reference 8
- Resolution
- unresolved
- no resolver link, observed 2026-08-11T22:14:58.014737Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 699cc41b-50fe-40dc-ae76-3f67db7db286 · inbound
Moment-like maps and real algebraic functions with prescribed preimages cites this paper.
Moment-like maps and real algebraic functions with prescribed preimages On Reeb graphs induced from smooth functions on 3-dimensional closed orientable manifolds with finitely many singular values
Reference 8
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T19:11:30.201632Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6a0d15d7-77b9-4f8c-a1ad-c28e75683a6f · inbound
Reconstruction of real algebraic functions into curves with prescribed Reeb graphs cites this paper.
Reconstruction of real algebraic functions into curves with prescribed Reeb graphs On Reeb graphs induced from smooth functions on 3-dimensional closed orientable manifolds with finitely many singular values
Reference 16
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T18:03:32.594906Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ae4d211e-bc67-4088-9cce-467ca09b406f · inbound
Graphs with tree decompositions of small graphs and realizing them as the Reeb graphs of real algebraic functions cites this paper.
Graphs with tree decompositions of small graphs and realizing them as the Reeb graphs of real algebraic functions On Reeb graphs induced from smooth functions on 3-dimensional closed orientable manifolds with finitely many singular values
Reference 5
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T06:13:19.276948Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f8102f00-8464-48aa-a201-25432ca0a7c0 · 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 On Reeb graphs induced from smooth functions on 3-dimensional closed orientable manifolds with finitely many singular values
Reference 13
- Resolution
- verified exact
- arxiv_id, observed 2026-05-10T23:40:51.410258Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 3785e6f2-4a83-4c7b-a924-d2ccc9813f0d · 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 3-dimensional closed orientable manifolds with finitely many singular values
Reference 6
- Resolution
- verified exact
- arxiv_id, observed 2026-05-13T05:12:18.421798Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 416567e7-500b-4f03-b22a-b84eeca80f60 · 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 3-dimensional closed orientable manifolds with finitely many singular values
Reference 6
- Resolution
- verified exact
- arxiv_id, observed 2026-07-01T14:15:47.305520Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation a5bce9ca-573b-4dff-8b3b-fe3a43a6e403 · 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 3-dimensional closed orientable manifolds with finitely many singular values
Reference 8
- 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 4897cac8-5107-49a7-96d4-14a24b2e021f · 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 3-dimensional closed orientable manifolds with finitely many singular values
Reference 11
- Resolution
- unresolved
- no resolver link, observed 2026-08-01T18:58:34.787122Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 25dea9b2-7d08-407b-baa3-58ab36094df2 · 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 3-dimensional closed orientable manifolds with finitely many singular values
Reference 17
- Resolution
- unresolved
- no resolver link, observed 2026-08-05T00:54:16.202466Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.