Paper Citation Record · LEDGER

Moment-like maps and real algebraic functions with prescribed preimages

As of 21 August 2026, this Paper Citation Record lists 24 of 24 outbound references and 1 inbound Pith citation observation for arXiv:2506.17791.

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

pith.paper-citation-record.v1
2506.17791 v1

Coverage vector

measured 24 of 24 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T19:11:30.272312Z

measured 25 of 25 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T06:13:19.785044Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-06T06:13:22.097135Z

Reference resolution

24 of 24 outbound references displayed

verified exact1
verified fuzzy12
unresolved11
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 014cdcac-d2c7-4cec-b0ca-cf41e8744c6c · outbound

This paper cites an unresolved cited work.

Moment-like maps and real algebraic functions with prescribed preimages Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-15T19:11:30.617717Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 87182e5c-a3dc-4cee-91e6-a0bb45e33700 · outbound

This paper cites Bochnak, M.

Moment-like maps and real algebraic functions with prescribed preimages Bochnak, M

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:11:30.602743Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation ac291a0a-791b-40de-bbb1-387dd0882629 · outbound

This paper cites Bott,Nondegenerate critical manifolds, Ann.

Moment-like maps and real algebraic functions with prescribed preimages Bott,Nondegenerate critical manifolds, Ann

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:11:30.589688Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation dc87aa1f-f3ae-480a-9947-86e31b96fde8 · outbound

This paper cites Delzant,Hamiltoniens p´ eriodiques et images convexes de l’application moment, Bull.

Moment-like maps and real algebraic functions with prescribed preimages Delzant,Hamiltoniens p´ eriodiques et images convexes de l’application moment, Bull

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:11:30.575994Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 75865974-6da7-4a5f-891f-b35e6e2140a4 · outbound

This paper cites Gelbukh,Realization of a digraph as the Reeb graph of a Morse-Bott function on a given surface, Topology and its Applications, 2024.

Moment-like maps and real algebraic functions with prescribed preimages Gelbukh,Realization of a digraph as the Reeb graph of a Morse-Bott function on a given surface, Topology and its Applications, 2024

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:11:30.562232Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation ba590a47-8435-496f-bc5c-d5e38852693d · outbound

This paper cites Gelbukh,Reeb Graphs of Morse-Bott Functions on a Given Surface, Bulletin of the Iranian Mathematical Society, Volume 50 Article number 84, 2024.

Moment-like maps and real algebraic functions with prescribed preimages Gelbukh,Reeb Graphs of Morse-Bott Functions on a Given Surface, Bulletin of the Iranian Mathematical Society, Volume 50 Article number 84, 2024

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:11:30.548433Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 655d1a14-27c0-4f90-aba0-0c5e3bd87dc7 · outbound

This paper cites Golubitsky and V.

Moment-like maps and real algebraic functions with prescribed preimages Golubitsky and V

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:11:30.532500Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 699cc41b-50fe-40dc-ae76-3f67db7db286 · outbound

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

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 a06117e6-507e-4842-afd7-dc64146ac39c · outbound

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

Moment-like maps and real algebraic functions with prescribed preimages Real algebraic functions on closed manifolds whose Reeb spaces are given graphs

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-15T19:11:30.206139Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5477ef4d-8429-4700-84b3-2e190b8cae4b · outbound

This paper cites The book of abstracts.

Moment-like maps and real algebraic functions with prescribed preimages The book of abstracts

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:11:30.519469Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation b565334f-db2a-4315-b8a7-8f0f43c8b28a · outbound

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

Moment-like maps and real algebraic functions with prescribed preimages Realization problems of graphs as Reeb graphs of Morse functions with prescribed preimages

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-15T19:11:30.216392Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b54d73f4-f917-42ec-ad44-6946654ab033 · outbound

This paper cites Smooth maps like special generic maps.

Moment-like maps and real algebraic functions with prescribed preimages Smooth maps like special generic maps

Reference 12

Resolution: verified exact; local_arxiv, observed 2026-08-15T19:11:30.375324Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 5d03e959-087e-4a2b-a767-3cb41497d609 · outbound

This paper cites Construction of real algebraic functions with prescribed preimages.

Moment-like maps and real algebraic functions with prescribed preimages Construction of real algebraic functions with prescribed preimages

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-15T19:11:30.225540Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5f568d05-4991-43ae-ab4d-29dd5bf77c55 · 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.

Moment-like maps and real algebraic functions with prescribed preimages 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 14

Resolution: unresolved; no resolver link, observed 2026-08-15T19:11:30.230040Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 36b89d9b-095e-4c9f-ab10-9dc7a821ba25 · 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.

Moment-like maps and real algebraic functions with prescribed preimages Some remark on real algebraic maps which are topologically special generic maps and generalize the canonical projections of the unit spheres

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-15T19:11:30.235145Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7a298309-6c83-447e-bab1-a7cebc17be69 · outbound

This paper cites Kobayashi,On the cusped fan in a planar portrait of a manifold, Geometriae Dedicata 162, 25–43, 2013/4.

Moment-like maps and real algebraic functions with prescribed preimages Kobayashi,On the cusped fan in a planar portrait of a manifold, Geometriae Dedicata 162, 25–43, 2013/4

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:11:30.505526Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation cc24e9ef-758b-4de2-b412-22b7d0f33594 · outbound

This paper cites Kobayashi,Generic foldings ofR a ×R b intoR 2 by two quadratic forms, a talk in a con- ference (https://sites.google.com/view/suzukimasahiko70/home), in honor of Prof.

Moment-like maps and real algebraic functions with prescribed preimages Kobayashi,Generic foldings ofR a ×R b intoR 2 by two quadratic forms, a talk in a con- ference (https://sites.google.com/view/suzukimasahiko70/home), in honor of Prof

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:11:30.491476Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 13a012b8-2a92-4483-83ea-400e1a04fc48 · 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.

Moment-like maps and real algebraic functions with prescribed preimages Koll´ ar,Nash’s work in algebraic geometry, Bulletin (New Series) of the American Matem- atical Society (2) 54, 2017, 307–324

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:11:30.477041Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation b0a957f9-66fc-49cd-845b-daae80b049cf · outbound

This paper cites Masumoto and O.

Moment-like maps and real algebraic functions with prescribed preimages Masumoto and O

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-15T19:11:30.251823Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 48af08cf-0ab7-440c-8598-7722925cc5b0 · outbound

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

Moment-like maps and real algebraic functions with prescribed preimages Realization of a graph as the Reeb graph of a Morse function on a manifold

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-15T19:11:30.256028Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 325682ba-7a44-4918-931b-e090716adcb8 · outbound

This paper cites Milnor,Lectures on the h-cobordism theorem, Math.

Moment-like maps and real algebraic functions with prescribed preimages Milnor,Lectures on the h-cobordism theorem, Math

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:11:30.452571Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation f8613763-759c-49eb-9c79-f63910780e4a · outbound

This paper cites an unresolved cited work.

Moment-like maps and real algebraic functions with prescribed preimages Unresolved cited work

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-15T19:11:30.264206Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bfa78cd8-de6e-468e-8896-a0cd2c4055c6 · outbound

This paper cites Reeb spaces of smooth functions on manifolds.

Moment-like maps and real algebraic functions with prescribed preimages Reeb spaces of smooth functions on manifolds

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-15T19:11:30.268185Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0aff1eab-94c9-4d7b-b4c8-ef370a886069 · 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.

Moment-like maps and real algebraic functions with prescribed preimages Sharko,About Kronrod-Reeb graph of a function on a manifold, Methods of Functional Analysis and Topology 12 (2006), 389–396

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:11:30.429146Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Pith citing papers

Observation 93c78eb9-7b21-4157-b5aa-632a881d3b98 · 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 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 2026-08-20T06:33:59.587034+00:00.