Paper Citation Record · LEDGER

Compactifying real analytic functions and resulting Reeb spaces

As of 13 August 2026, this Paper Citation Record lists 26 of 26 outbound references and 0 inbound Pith citation observations for arXiv:2607.04565.

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

pith.paper-citation-record.v1
2607.04565 v1

Coverage vector

measured 26 of 26 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-11T17:12:07.354182Z

measured 26 of 26 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 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

26 of 26 outbound references displayed

verified exact1
verified fuzzy0
unresolved25
parse uncertain0
malformed identifier0
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External citation measurements

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Outbound references

Observation 88aa293c-b7b1-4203-8092-fb1a7d4f764c · outbound

This paper cites an unresolved cited work.

Compactifying real analytic functions and resulting Reeb spaces Unresolved cited work

Reference 1

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 aabf8df1-a024-431e-8475-6a5a089cae06 · outbound

This paper cites Gelbukh,On the topology of the Reeb graph, Publicationes Mathematicae Debrecen 104(3–.

Compactifying real analytic functions and resulting Reeb spaces Gelbukh,On the topology of the Reeb graph, Publicationes Mathematicae Debrecen 104(3–

Reference 2

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 1d736e2f-c6c7-4aeb-a433-b962b736923f · outbound

This paper cites Gelbukh,Topological dimension of a Reeb graph and a Reeb space, Topology and its Applications, Volume 373, 1 November 2025, 109462.

Compactifying real analytic functions and resulting Reeb spaces Gelbukh,Topological dimension of a Reeb graph and a Reeb space, Topology and its Applications, Volume 373, 1 November 2025, 109462

Reference 3

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 cba4bd9f-995b-457e-b999-8829652b490a · outbound

This paper cites an unresolved cited work.

Compactifying real analytic functions and resulting Reeb spaces Unresolved cited work

Reference 4

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 deaad47d-fb6d-4b97-82f3-0349abda1a8c · outbound

This paper cites an unresolved cited work.

Compactifying real analytic functions and resulting Reeb spaces Unresolved cited work

Reference 5

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 0ab36076-042e-44ee-8a77-74b695d9f176 · outbound

This paper cites an unresolved cited work.

Compactifying real analytic functions and resulting Reeb spaces Unresolved cited work

Reference 6

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 cca4ce12-c8fa-472f-88e2-95f333fdd06e · outbound

This paper cites an unresolved cited work.

Compactifying real analytic functions and resulting Reeb spaces Unresolved cited work

Reference 7

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 a5bce9ca-573b-4dff-8b3b-fe3a43a6e403 · outbound

This paper cites On Reeb graphs induced from smooth functions on 3-dimensional closed orientable manifolds with finitely many singular values.

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 8f7d357a-77a0-4415-833e-1a6e71360056 · outbound

This paper cites On Reeb graphs induced from smooth functions on closed or open manifolds.

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 e2c53181-5170-4f73-9adc-f460369731b5 · outbound

This paper cites Real algebraic functions on closed manifolds whose Reeb spaces are given graphs.

Compactifying real analytic functions and resulting Reeb spaces Real algebraic functions on closed manifolds whose Reeb spaces are given graphs

Reference 10

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 ceba27a0-8b90-41eb-8a41-911c8e1d3fdf · outbound

This paper cites Realization problems of graphs as Reeb graphs of Morse functions with prescribed preimages.

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 8c59f961-0c23-481f-a7e6-2f83339bbf46 · outbound

This paper cites Maps on manifolds onto graphs locally regarded as the quotient maps onto Reeb spaces of some differentiable maps and a new construction problem.

Compactifying real analytic functions and resulting Reeb spaces Maps on manifolds onto graphs locally regarded as the quotient maps onto Reeb spaces of some differentiable maps and a new construction problem

Reference 12

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 264bf2cb-65ac-44fe-8025-17363290788f · outbound

This paper cites Reconstructing real algebraic maps locally like moment-maps with prescribed images and compositions with the canonical projections to the $1$-dimensional real affine space.

Compactifying real analytic functions and resulting Reeb spaces Reconstructing real algebraic maps locally like moment-maps with prescribed images and compositions with the canonical projections to the $1$-dimensional real affine space

Reference 13

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 dbd3ec44-4e32-4456-8e11-7dec9ac135c1 · 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.

Compactifying real analytic functions and resulting Reeb spaces Some remark on real algebraic maps which are topologically special generic maps and generalize the canonical projections of the unit spheres

Reference 14

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 837b8403-6bc1-45da-afcf-686d18c02ead · outbound

This paper cites an unresolved cited work.

Compactifying real analytic functions and resulting Reeb spaces Unresolved cited work

Reference 15

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 ee04d421-cfc8-417b-a193-85b75b093bec · outbound

This paper cites Kitazawa,Fundamental examples of Reeb spaces of smooth functions defined from two graphs of smooth functions with same asymptotic behaviors, arXiv:2602.17014, 2026/2.

Compactifying real analytic functions and resulting Reeb spaces Kitazawa,Fundamental examples of Reeb spaces of smooth functions defined from two graphs of smooth functions with same asymptotic behaviors, arXiv:2602.17014, 2026/2

Reference 16

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 17651e89-125f-4730-8dbf-aebf8484068c · outbound

This paper cites Kitazawa,Reeb spaces of functions being analytic on dense subsets and their graph struc- tures, arXiv:2602.23380.

Compactifying real analytic functions and resulting Reeb spaces Kitazawa,Reeb spaces of functions being analytic on dense subsets and their graph struc- tures, arXiv:2602.23380

Reference 17

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 4db5cf54-cd4a-4924-a9f6-44441178fcf9 · outbound

This paper cites Kitazawa,A note on asymptotic behaviors and topological properties on smooth real- valued functions and several graphs associated to them, arXiv:2603.21452.

Compactifying real analytic functions and resulting Reeb spaces Kitazawa,A note on asymptotic behaviors and topological properties on smooth real- valued functions and several graphs associated to them, arXiv:2603.21452

Reference 18

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 43e6d151-1be7-4622-b1f6-a11095e05eca · outbound

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

Compactifying real analytic functions and resulting Reeb spaces Representations of Reeb spaces via simplified graphs and examples

Reference 19

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 0a9aabbd-30f5-4350-881e-3d6771db56b3 · outbound

This paper cites Martinez-Alfaro, I.

Compactifying real analytic functions and resulting Reeb spaces Martinez-Alfaro, I

Reference 20

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 d27692dd-5451-4ee4-8c8c-9305fd9f043f · outbound

This paper cites Masumoto and O.

Compactifying real analytic functions and resulting Reeb spaces Masumoto and O

Reference 21

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

This paper cites Realization of a graph as the Reeb graph of a Morse function on a manifold.

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 d74a19be-2f96-4e5b-b38f-2c9f5e15f502 · outbound

This paper cites an unresolved cited work.

Compactifying real analytic functions and resulting Reeb spaces Unresolved cited work

Reference 23

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 30815aba-8378-4faf-98ec-b3c38e5f116d · outbound

This paper cites Reeb spaces of smooth functions on manifolds.

Compactifying real analytic functions and resulting Reeb spaces Reeb spaces of smooth functions on manifolds

Reference 24

Resolution: verified exact; local_arxiv, observed 2026-07-11T17:18:09.002020Z

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 d78a46d9-e2b1-4c9c-b602-ebb643849d6a · outbound

This paper cites Saeki,Reeb spaces of smooth functions on manifolds II, Res.

Compactifying real analytic functions and resulting Reeb spaces Saeki,Reeb spaces of smooth functions on manifolds II, Res

Reference 25

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 80e3ff0a-6559-465f-af63-3435ab29f4fd · 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.

Compactifying real analytic functions and resulting Reeb spaces Sharko,About Kronrod-Reeb graph of a function on a manifold, Methods of Functional Analysis and Topology 12 (2006), 389–396

Reference 26

Resolution: unresolved; no resolver link, observed 2026-07-11T17:12:07.354182Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.