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Paper Citation Record · LEDGER

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

As of 13 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 9 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 9 of 9 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 9 of 9 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-11T22:14:58.047291Z

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

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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=sha256:3c8302e1f801525db357cdbc10c2e06679aa58fc61899630fb15d14b5f4df144

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
unresolved
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=sha256:65dded1412917b22de90dc5204c45cfbd580b3f00e6524688a5468af13ced3ba

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=sha256:5e3e36332beeb9c7620368f3fc2dce6f995b25912f62d8e34fc0695c05503bb4

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=sha256:4fb9fdadfdbcb56c1785f1a09b6089d2bd408758cd84659bcb44c59506c12345

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-05-13T04:42:51.554526Z digest=sha256:89c676f325a8a463d18e6d6ade05527d83be888e277d5d7d1b2daf0212941ac7

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-06-30T22:09:11.987811Z digest=sha256:144762a672411a92e90b91cbf8735352882d153d2c21172c5f45cdb5494688aa

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:bf45a39631f7af89bc6fa37401276f10fe2c60829d91502f46fc4b8539371e46

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=sha256:9f30d12e2c7408ee380ace944c9527dac253817a12b7d42a5d5acd652951ca22

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:b6de35cf62a8ccdc5c6cd652ffcc68adf9fe8e7f5dda5094971a1bf1daaf0ba3