Paper Citation Record · LEDGER

Non-singular extensions of circle-valued Morse functions

As of 19 August 2026, this Paper Citation Record lists 11 of 11 outbound references and 2 inbound Pith citation observations for arXiv:2311.07309.

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

pith.paper-citation-record.v1
2311.07309 v3

Coverage vector

measured 11 of 11 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-24T05:48:48.844154Z

measured 13 of 13 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T18:03:32.480959Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-05-23T19:13:21.880329Z

Reference resolution

11 of 11 outbound references displayed

verified exact1
verified fuzzy0
unresolved10
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation aa51df8c-4a06-49be-8f76-c8e3cc13aabc · outbound

This paper cites an unresolved cited work.

Non-singular extensions of circle-valued Morse functions Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-05-24T05:48:56.706218Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation e353bf7f-cdbd-4a8c-9dca-eeab8aa5eacd · outbound

This paper cites an unresolved cited work.

Non-singular extensions of circle-valued Morse functions Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-05-24T05:48:56.710427Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation e2168a20-aef4-48e1-a98f-23bebcde3381 · outbound

This paper cites an unresolved cited work.

Non-singular extensions of circle-valued Morse functions Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-05-24T05:48:56.698802Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 8c87d299-9a57-4fc3-9277-3e0e8e476f22 · outbound

This paper cites an unresolved cited work.

Non-singular extensions of circle-valued Morse functions Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-05-24T05:48:56.694919Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 34b01741-f0c0-4dc8-9909-018db4df30b1 · outbound

This paper cites an unresolved cited work.

Non-singular extensions of circle-valued Morse functions Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-05-24T05:48:56.689126Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation bec0412b-e89a-4f0d-a2f9-490fb13fe80a · outbound

This paper cites an unresolved cited work.

Non-singular extensions of circle-valued Morse functions Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-05-24T05:48:56.684806Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation f583914d-664e-49dc-bf4c-8ab14c1ff43c · outbound

This paper cites Extending a Morse function to a non-orientable $3-$manifold.

Non-singular extensions of circle-valued Morse functions Extending a Morse function to a non-orientable $3-$manifold

Reference 7

Resolution: verified exact; local_arxiv, observed 2026-05-24T05:48:56.550295Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 05917a27-9947-4444-bb7b-17a04ba9f0e3 · outbound

This paper cites an unresolved cited work.

Non-singular extensions of circle-valued Morse functions Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-05-24T05:48:56.680585Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 354299f6-c0ce-4709-99b3-d26b934c7182 · outbound

This paper cites an unresolved cited work.

Non-singular extensions of circle-valued Morse functions Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-05-24T05:48:56.702299Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 049ae245-20d3-4391-8296-4207ea3f7acb · outbound

This paper cites an unresolved cited work.

Non-singular extensions of circle-valued Morse functions Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-05-24T05:48:56.677112Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation a9493780-5272-4256-8095-1ef4a3c7bf29 · outbound

This paper cites an unresolved cited work.

Non-singular extensions of circle-valued Morse functions Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-05-24T05:48:56.714038Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Pith citing papers

Observation a4445729-7e95-4ab8-beee-608aac163cd9 · inbound

Non-singular extensions of horizontal stable fold maps from surfaces to the plane cites this paper.

Non-singular extensions of horizontal stable fold maps from surfaces to the plane Non-singular extensions of circle-valued Morse functions

Reference 7

Resolution: verified exact; local_arxiv, observed 2026-05-23T19:13:21.882599Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation dddb0c28-93ee-47f8-9d0c-3e1672ffc42b · 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 Non-singular extensions of circle-valued Morse functions

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-06T18:03:32.480959Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.