Paper Citation Record · LEDGER

Continuation maps for the Morse fundamental group

As of 19 August 2026, this Paper Citation Record lists 15 of 15 outbound references and 0 inbound Pith citation observations for arXiv:2504.20803.

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

pith.paper-citation-record.v1
2504.20803 v2

Coverage vector

measured 15 of 15 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-16T05:29:13.376036Z

measured 15 of 15 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 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

15 of 15 outbound references displayed

verified exact1
verified fuzzy8
unresolved6
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 20e87fc6-74ab-4f5c-8a31-719589c9d6d1 · outbound

This paper cites Its limit at−∞ is−∞, and its limit at +∞ is +∞.

Continuation maps for the Morse fundamental group Its limit at−∞ is−∞, and its limit at +∞ is +∞

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:29:13.620042Z

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 55ce91a6-2049-4933-bfc1-1c372c540540 · outbound

This paper cites We have a unique critical point ats = 0, which happens to be a minimum, and its limits at±∞ are +∞ (in particular, it is decreasing befores = 0, and increasing after).

Continuation maps for the Morse fundamental group We have a unique critical point ats = 0, which happens to be a minimum, and its limits at±∞ are +∞ (in particular, it is decreasing befores = 0, and increasing after)

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:29:13.604571Z

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 3e59ec1c-5ef9-4623-a935-fe3870149f65 · outbound

This paper cites grafted Morse- Smale.

Continuation maps for the Morse fundamental group grafted Morse- Smale

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:29:13.651569Z

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 071730f0-2d14-45d3-b094-f2598b379dc3 · outbound

This paper cites Fundamental group in stable Morse theory.

Continuation maps for the Morse fundamental group Fundamental group in stable Morse theory

Reference 4

Resolution: verified exact; local_arxiv, observed 2026-08-16T05:29:13.420803Z

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 9c2da248-81ab-448c-9014-b7e8cd6c0543 · outbound

This paper cites Then it has a unique critical point ats = 0, which is a maximum, and its limits at±∞ are−∞ (in particular, it is increasing befores = 0, and decreasing after).

Continuation maps for the Morse fundamental group Then it has a unique critical point ats = 0, which is a maximum, and its limits at±∞ are−∞ (in particular, it is increasing befores = 0, and decreasing after)

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:29:13.588537Z

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 1a8d1d57-5b0f-4a7c-ac6c-b724f94d6aa7 · outbound

This paper cites Foundation of Floer homotopy theory I: Flow categories.

Continuation maps for the Morse fundamental group Foundation of Floer homotopy theory I: Flow categories

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-16T05:29:13.331155Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9c4abf42-3f19-4efa-b2b1-e5de3091795d · outbound

This paper cites Translated from the 2010 French original by Reinie Erné.

Continuation maps for the Morse fundamental group Translated from the 2010 French original by Reinie Erné

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:29:13.571664Z

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 b365da00-ea43-410a-bcac-78d9ea1af1c3 · outbound

This paper cites 773-809, 2018.

Continuation maps for the Morse fundamental group 773-809, 2018

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:29:13.555344Z

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 fd53dd7b-5239-40c4-b54f-c27af0f54864 · outbound

This paper cites an unresolved cited work.

Continuation maps for the Morse fundamental group Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-16T05:29:13.473226Z

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 6aab2f9d-6750-4d1d-8aca-f2d72116ba44 · outbound

This paper cites an unresolved cited work.

Continuation maps for the Morse fundamental group Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-16T05:29:13.539109Z

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 12b0afd7-967d-43c7-bfb6-78252db68d88 · outbound

This paper cites an unresolved cited work.

Continuation maps for the Morse fundamental group Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-16T05:29:13.521126Z

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 e417b9c2-d8af-4aee-b572-1ad81490c7f4 · outbound

This paper cites an unresolved cited work.

Continuation maps for the Morse fundamental group Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-16T05:29:13.505072Z

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 14c6d7a0-1efe-4707-a7c1-b23d3384beed · outbound

This paper cites Then there exists an isomorphism ψ such that the following diagram is commutative: πMorse 1 (f1,∗1) πMorse 1 (f3,∗′ 3) πMorse 1 (f2,∗2) πMorse 1 (f3,∗3).

Continuation maps for the Morse fundamental group Then there exists an isomorphism ψ such that the following diagram is commutative: πMorse 1 (f1,∗1) πMorse 1 (f3,∗′ 3) πMorse 1 (f2,∗2) πMorse 1 (f3,∗3)

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:29:13.636392Z

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 87a1aa47-20f7-4ea5-9d3b-0a002a697f52 · outbound

This paper cites an unresolved cited work.

Continuation maps for the Morse fundamental group Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-16T05:29:13.488723Z

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 d701a43c-40f3-490b-9494-25562b071887 · outbound

This paper cites Salammbo Connolly, Université Paris-Saclay, CNRS, Laboratoire de math- ématiques d’Orsay, 91405, Orsay, France.

Continuation maps for the Morse fundamental group Salammbo Connolly, Université Paris-Saclay, CNRS, Laboratoire de math- ématiques d’Orsay, 91405, Orsay, France

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:29:13.457289Z

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

No inbound Pith citation observations are available.