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Paper Citation Record · LEDGER

Extending a Morse function to a non-orientable $3-$manifold

As of 18 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:1709.03328.

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

pith.paper-citation-record.v1
1709.03328 v1

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 2 of 2 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 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-05-24T05:48:56.539871Z

Reference resolution

0 of 0 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved0
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

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 f583914d-664e-49dc-bf4c-8ab14c1ff43c · inbound

Non-singular extensions of circle-valued Morse functions cites this paper.

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 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-05-24T05:48:48.844154Z digest=sha256:d8483451eff4e56440fd5f0178b780b151e525ff73f2407978a85ea4e612f1f9

Observation 2eb198ec-1fad-4fd2-a917-705c16f495c9 · 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 Extending a Morse function to a non-orientable $3-$manifold

Reference 8

Resolution
verified exact
local_arxiv, observed 2026-05-23T19:13:21.878094Z

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=arxiv_source observed=2026-05-23T19:10:36.297208Z digest=sha256:e23dce97af05de78ab40e55f4f25ec32f416bce87a55cf414f9f00aec5556f5d