Paper Citation Record · LEDGER

First Betti numbers of orbits of Morse functions on surfaces

As of 16 August 2026, this Paper Citation Record lists 13 of 13 outbound references and 0 inbound Pith citation observations for arXiv:1908.03014.

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

pith.paper-citation-record.v1
1908.03014 v1

Coverage vector

measured 13 of 13 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T14:42:14.514800Z

measured 13 of 13 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+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

13 of 13 outbound references displayed

verified exact0
verified fuzzy4
unresolved9
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 0573badb-401a-4099-9bf4-1855a4e461bd · outbound

This paper cites an unresolved cited work.

First Betti numbers of orbits of Morse functions on surfaces Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-14T14:42:14.757812Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 88aa92d6-e3d5-481b-890f-a118e229da8a · outbound

This paper cites an unresolved cited work.

First Betti numbers of orbits of Morse functions on surfaces Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-14T14:42:14.743059Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 1d1bb704-0dce-4e99-b7de-7290dcb0eae6 · outbound

This paper cites an unresolved cited work.

First Betti numbers of orbits of Morse functions on surfaces Unresolved cited work

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-14T14:42:14.460024Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 263ccbc5-885d-4c26-b290-7a90ba27d876 · outbound

This paper cites an unresolved cited work.

First Betti numbers of orbits of Morse functions on surfaces Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-14T14:42:14.712195Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 878c758b-9940-4056-a1ab-1d3c152347c3 · outbound

This paper cites Notes 92 (2012), no.

First Betti numbers of orbits of Morse functions on surfaces Notes 92 (2012), no

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:42:14.698168Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 5d86b17a-2c13-4562-9a58-f9d8fd44045a · outbound

This paper cites an unresolved cited work.

First Betti numbers of orbits of Morse functions on surfaces Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-14T14:42:14.682727Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 4fa8535f-e0aa-4a26-9eae-edded80981be · outbound

This paper cites an unresolved cited work.

First Betti numbers of orbits of Morse functions on surfaces Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-14T14:42:14.669702Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 12cf8655-eb07-46d8-b9b5-1a000a66b51d · outbound

This paper cites an unresolved cited work.

First Betti numbers of orbits of Morse functions on surfaces Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-14T14:42:14.653134Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 4eb0821c-5a56-4f48-8471-eabcd6f285ce · outbound

This paper cites Journal 64 (2012), no.

First Betti numbers of orbits of Morse functions on surfaces Journal 64 (2012), no

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:42:14.626716Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation aad05c6f-239d-4bef-80d1-45f45cbf7643 · outbound

This paper cites an unresolved cited work.

First Betti numbers of orbits of Morse functions on surfaces Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-14T14:42:14.610025Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 97185798-d7f6-4104-b739-5f2cf3473049 · outbound

This paper cites an unresolved cited work.

First Betti numbers of orbits of Morse functions on surfaces Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-14T14:42:14.596009Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 8e5186e1-56b1-4180-88d4-a9919515be4a · outbound

This paper cites Maksymenko.

First Betti numbers of orbits of Morse functions on surfaces Maksymenko

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:42:14.582088Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 88d9d59f-1fdc-43aa-aa01-e393a0bd1e1e · outbound

This paper cites Maksymenko.

First Betti numbers of orbits of Morse functions on surfaces Maksymenko

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:42:14.568083Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Pith citing papers

No inbound Pith citation observations are available.