Paper Citation Record · LEDGER

Realization of a graph as the Reeb graph of a Morse function on a manifold

As of 13 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 11 inbound Pith citation observations for arXiv:1805.06727.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
1805.06727 v2

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 11 of 11 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00

measured 11 of 11 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-12T13:48:56.188351Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-07-01T14:15:47.314861Z

Reference resolution

0 of 0 outbound references displayed

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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 1d3a0235-45fd-4970-a811-52780194fd5b · 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 of a graph as the Reeb graph of a Morse function on a manifold

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-12T13:48:56.188351Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 51d85cfa-06cb-4ac1-88cc-fe416ff2af6c · inbound

Arrangements of small circles for Morse-Bott functions cites this paper.

Arrangements of small circles for Morse-Bott functions Realization of a graph as the Reeb graph of a Morse function on a manifold

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-11T22:14:58.216624Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d74b859a-112e-4e29-ac0e-b2faf74070da · 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 of a graph as the Reeb graph of a Morse function on a manifold

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-11T15:08:07.714448Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation da30aafa-e4af-45a1-b705-49b35bf548f1 · 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 Realization of a graph as the Reeb graph of a Morse function on a manifold

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-06T18:03:33.851174Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 71a27165-ea04-4bb2-af86-d3c6d6dc20c4 · 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 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 cedfa96d-ad83-4400-ba02-b1c9e0c50225 · 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 of a graph as the Reeb graph of a Morse function on a manifold

Reference 27

Resolution: verified exact; arxiv_id, observed 2026-05-10T23:40:51.392992Z

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 2c564efe-0fd7-4a8d-976f-b08ee913840a · inbound

Representations of Reeb spaces via simplified graphs and examples cites this paper.

Representations of Reeb spaces via simplified graphs and examples Realization of a graph as the Reeb graph of a Morse function on a manifold

Reference 20

Resolution: verified exact; arxiv_id, observed 2026-05-13T05:12:18.396577Z

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 9558c6b2-e173-41bf-9a79-4b17c929cd07 · inbound

Representations of Reeb spaces via simplified graphs and examples cites this paper.

Representations of Reeb spaces via simplified graphs and examples Realization of a graph as the Reeb graph of a Morse function on a manifold

Reference 20

Resolution: verified exact; local_arxiv, observed 2026-07-01T14:15:47.316254Z

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 643a04e3-89d8-4672-b9d8-99cfb458d63c · inbound

Compactifying real analytic functions and resulting Reeb spaces cites this paper.

Compactifying real analytic functions and resulting Reeb spaces Realization of a graph as the Reeb graph of a Morse function on a manifold

Reference 22

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 967873e8-70a7-4cbc-b3f4-7d1050100e11 · 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 of a graph as the Reeb graph of a Morse function on a manifold

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-01T18:58:36.217443Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 719236fb-8068-4ec7-86be-65597ec51c18 · 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 of a graph as the Reeb graph of a Morse function on a manifold

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-05T00:54:17.011798Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.