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Paper Citation Record · LEDGER

Real algebraic functions on closed manifolds whose Reeb spaces are given graphs

As of 17 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 10 inbound Pith citation observations for arXiv:2302.02339.

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

pith.paper-citation-record.v1
2302.02339 v3

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 10 of 10 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+00:00

measured 10 of 10 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T19:11:30.206139Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-01T14:15:47.320392Z

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 4d197d29-e32b-4caf-b358-d37ee5a5de06 · inbound

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

Arrangements of small circles for Morse-Bott functions Real algebraic functions on closed manifolds whose Reeb spaces are given graphs

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-11T22:14:58.047291Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T22:14:58.047291Z digest=sha256:84a42e7a5ace70680167da8a03cbedaedee71831319815a5d356160a0f968dd3

Observation edd16330-cb07-46bc-8299-5bd774652403 · inbound

Arrangements of circles supported by small chords and compatible with natural real algebraic functions cites this paper.

Arrangements of circles supported by small chords and compatible with natural real algebraic functions Real algebraic functions on closed manifolds whose Reeb spaces are given graphs

Reference 5

Resolution
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no resolver link, observed 2026-08-10T17:55:58.856848Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T17:55:58.856848Z digest=sha256:ca79faf46899b3171e428cf66fb8eac9156b743646d1f7c244dcae8cdb5353b5

Observation a06117e6-507e-4842-afd7-dc64146ac39c · inbound

Moment-like maps and real algebraic functions with prescribed preimages cites this paper.

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.

source=pdf_text observed=2026-08-15T19:11:30.206139Z digest=sha256:6f0294eb1d4171013a94241813dd9977b671eea0aa4fdb3ee7d848a73f3be689

Observation bf42007d-cf61-4b94-a486-ed81891f7186 · 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 Real algebraic functions on closed manifolds whose Reeb spaces are given graphs

Reference 17

Resolution
unresolved
no resolver link, observed 2026-08-06T18:03:32.754378Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T18:03:32.754378Z digest=sha256:ecf27adc3891a08f1bae3b2857f2a729992d8f2fbad1cbc139dee8f0585e0f21

Observation c9c86607-f56f-4d91-b6a1-dada5fb54f4e · 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 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.

source=pdf_text observed=2026-08-06T06:13:19.313686Z digest=sha256:0b73ac626437c738f54058f9d66ebc2a7eb6fd967f106938676b1f90c7a26103

Observation f57b4c8b-ea0a-43d4-83e8-07ea60e703c4 · inbound

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

Representations of Reeb spaces via simplified graphs and examples Real algebraic functions on closed manifolds whose Reeb spaces are given graphs

Reference 8

Resolution
verified exact
arxiv_id, observed 2026-05-13T05:12:18.399941Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-05-13T04:42:51.554526Z digest=sha256:e75bef8d62bb08b30397cc2063d79694d392a67ddc52f5d993ec6774c7a66a42

Observation a6e7e24c-6c30-4579-95da-8ef30c4a8363 · inbound

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

Representations of Reeb spaces via simplified graphs and examples Real algebraic functions on closed manifolds whose Reeb spaces are given graphs

Reference 8

Resolution
verified exact
arxiv_id, observed 2026-07-01T14:15:47.321963Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-06-30T22:09:11.987811Z digest=sha256:55a4a963577c5b295f63683a664e2ac0d80d5491fd2df09f02c9383dc975a2fb

Observation e2c53181-5170-4f73-9adc-f460369731b5 · inbound

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

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.

source=pdf_text observed=2026-07-11T17:12:07.354182Z digest=sha256:67211180760ae449ea59fd8a7506d0cd4d9ff61881dfd0a8a35f39fdabde1515

Observation d7695997-8aed-40e1-9ad2-1203a0f00f01 · 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 Real algebraic functions on closed manifolds whose Reeb spaces are given graphs

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-01T18:58:35.070793Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T18:58:35.070793Z digest=sha256:ec7b8dec13eced9ee4162175085223cca585baf6e199d2484cc451f3f2f8158f

Observation 0f8ead0f-b7bb-4df8-a540-ae1b4d4afbb4 · 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 Real algebraic functions on closed manifolds whose Reeb spaces are given graphs

Reference 19

Resolution
unresolved
no resolver link, observed 2026-08-05T00:54:16.552763Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T00:54:16.552763Z digest=sha256:cf70f1edea73c37ad62e8f1e7f3b62248b6a6d66a570e989ae590981a5e12535