Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-06T06:13:21.399273Z
Paper Citation Record · LEDGER
Graphs with tree decompositions of small graphs and realizing them as the Reeb graphs of real algebraic functions
As of 13 August 2026, this Paper Citation Record lists 22 of 22 outbound references and 0 inbound Pith citation observations for arXiv:2508.00729.
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
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
22 of 22 outbound references displayed
- verified exact3
- verified fuzzy7
- unresolved11
- parse uncertain0
- malformed identifier1
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 0d240a96-7184-4388-a851-e66d17c51e81 · outbound
This paper cites Bochnak, M.
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T06:13:25.044642Z
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 06f37826-1188-4966-b982-5ed040ca471b · outbound
This paper cites Poincar\'e-Reeb graphs of real algebraic domains.
Graphs with tree decompositions of small graphs and realizing them as the Reeb graphs of real algebraic functions Poincar\'e-Reeb graphs of real algebraic domains
Reference 2
- Resolution
- malformed identifier
- local_arxiv, observed 2026-08-06T06:13:22.534916Z
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 5edc4172-1ad8-4239-83b0-26581a642f7c · outbound
This paper cites Bott, Nondegenerate critical manifolds , Ann.
Graphs with tree decompositions of small graphs and realizing them as the Reeb graphs of real algebraic functions Bott, Nondegenerate critical manifolds , Ann
Reference 3
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T06:13:19.092314Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0ae8c3e9-1047-4918-bf3d-48a9b0378aca · outbound
This paper cites Golubitsky and V.
Graphs with tree decompositions of small graphs and realizing them as the Reeb graphs of real algebraic functions Golubitsky and V
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T06:13:24.777755Z
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 ae4d211e-bc67-4088-9cce-467ca09b406f · outbound
This paper cites On Reeb graphs induced from smooth functions on 3-dimensional closed orientable manifolds with finitely many singular values.
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 c9c86607-f56f-4d91-b6a1-dada5fb54f4e · outbound
This paper cites Real algebraic functions on closed manifolds whose Reeb spaces are given graphs.
Graphs with tree decompositions of small graphs and realizing them as the Reeb graphs of real algebraic functions Real algebraic functions on closed manifolds whose Reeb spaces are given graphs
Reference 6
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T06:13:19.313686Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4fba3abb-6d40-49b9-afba-8fd88115d5c2 · outbound
This paper cites an unresolved cited work.
Graphs with tree decompositions of small graphs and realizing them as the Reeb graphs of real algebraic functions Unresolved cited work
Reference 7
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T06:13:24.417689Z
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 0d2c55e1-acf9-4b86-a660-c0ecf0083f15 · outbound
This paper cites Some remark on real algebraic maps which are topologically special generic maps and generalize the canonical projections of the unit spheres.
Graphs with tree decompositions of small graphs and realizing them as the Reeb graphs of real algebraic functions Some remark on real algebraic maps which are topologically special generic maps and generalize the canonical projections of the unit spheres
Reference 8
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T06:13:19.633528Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 93c78eb9-7b21-4157-b5aa-632a881d3b98 · outbound
This paper cites Moment-like maps and real algebraic functions with prescribed preimages.
Graphs with tree decompositions of small graphs and realizing them as the Reeb graphs of real algebraic functions Moment-like maps and real algebraic functions with prescribed preimages
Reference 9
- Resolution
- verified exact
- local_arxiv, observed 2026-08-06T06:13:22.179289Z
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 4ad0c078-1629-4825-9798-16b20a34822f · outbound
This paper cites Reconstruction of real algebraic functions into curves with prescribed Reeb graphs.
Graphs with tree decompositions of small graphs and realizing them as the Reeb graphs of real algebraic functions Reconstruction of real algebraic functions into curves with prescribed Reeb graphs
Reference 10
- Resolution
- verified exact
- local_arxiv, observed 2026-08-06T06:13:21.984415Z
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 cf8cbdfc-0d23-454e-b603-9cc569f438fd · outbound
This paper cites Koll´ ar,Nash’s work in algebraic geometry , Bulletin (New Series) of the American Matem- atical Society (2) 54, 2017, 307–324.
Graphs with tree decompositions of small graphs and realizing them as the Reeb graphs of real algebraic functions Koll´ ar,Nash’s work in algebraic geometry , Bulletin (New Series) of the American Matem- atical Society (2) 54, 2017, 307–324
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T06:13:24.147736Z
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 2ab4494d-829a-4d38-98f3-95c35bd182f6 · outbound
This paper cites The masterpieces of John Forbes Nash Jr.
Graphs with tree decompositions of small graphs and realizing them as the Reeb graphs of real algebraic functions The masterpieces of John Forbes Nash Jr
Reference 12
- Resolution
- verified exact
- local_arxiv, observed 2026-08-06T06:13:21.821281Z
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 7c501cfd-9138-4e81-9281-89c78b03791c · outbound
This paper cites Masumoto and O.
Graphs with tree decompositions of small graphs and realizing them as the Reeb graphs of real algebraic functions Masumoto and O
Reference 13
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T06:13:20.266567Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 71a27165-ea04-4bb2-af86-d3c6d6dc20c4 · outbound
This paper cites Realization of a graph as the Reeb graph of a Morse function on a manifold.
Graphs with tree decompositions of small graphs and realizing them as the Reeb graphs of real algebraic functions Realization of a graph as the Reeb graph of a Morse function on a manifold
Reference 14
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T06:13:20.436863Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 977e65b8-ebc1-4ade-85d1-a23d50225b85 · outbound
This paper cites Milnor, Lectures on the h-cobordism theorem , Math.
Graphs with tree decompositions of small graphs and realizing them as the Reeb graphs of real algebraic functions Milnor, Lectures on the h-cobordism theorem , Math
Reference 15
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T06:13:20.607493Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 34fce9d0-855d-4121-884b-43c2c829d1a2 · outbound
This paper cites Milnor and J.
Graphs with tree decompositions of small graphs and realizing them as the Reeb graphs of real algebraic functions Milnor and J
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T06:13:23.829570Z
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 627efece-c518-4bda-a4aa-6a1dc89eb214 · outbound
This paper cites Nash, Real algbraic manifolds , Ann.
Graphs with tree decompositions of small graphs and realizing them as the Reeb graphs of real algebraic functions Nash, Real algbraic manifolds , Ann
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T06:13:23.524142Z
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 083b525f-c322-45d5-a447-c21557a4df45 · outbound
This paper cites an unresolved cited work.
Graphs with tree decompositions of small graphs and realizing them as the Reeb graphs of real algebraic functions Unresolved cited work
Reference 18
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T06:13:21.004013Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e465783c-0ac6-4abb-afca-fc14f7929a40 · outbound
This paper cites an unresolved cited work.
Graphs with tree decompositions of small graphs and realizing them as the Reeb graphs of real algebraic functions Unresolved cited work
Reference 19
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T06:13:21.096106Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c72dd6ed-cb09-4d2e-9524-7561b968f4d9 · outbound
This paper cites Sharko, About Kronrod-Reeb graph of a function on a manifold , Methods of Functional Analysis and Topology 12 (2006), 389–396.
Graphs with tree decompositions of small graphs and realizing them as the Reeb graphs of real algebraic functions Sharko, About Kronrod-Reeb graph of a function on a manifold , Methods of Functional Analysis and Topology 12 (2006), 389–396
Reference 20
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T06:13:21.152026Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 772217af-a4e5-4dd2-8ec9-33c8eb02362f · outbound
This paper cites Steenrod, The topology of fibre bundles , Princeton University Press (1951).
Graphs with tree decompositions of small graphs and realizing them as the Reeb graphs of real algebraic functions Steenrod, The topology of fibre bundles , Princeton University Press (1951)
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T06:13:23.251764Z
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 bbf8f0a8-e529-4bd8-ab84-c829d2b93791 · outbound
This paper cites Tognoli, Su una congettura di Nash , Ann.
Graphs with tree decompositions of small graphs and realizing them as the Reeb graphs of real algebraic functions Tognoli, Su una congettura di Nash , Ann
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T06:13:22.892004Z
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.
Pith citing papers
No inbound Pith citation observations are available.