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Paper Citation Record · LEDGER

Cuspidal edges with the same first fundamental forms along a knot

As of 16 August 2026, this Paper Citation Record lists 6 of 6 outbound references and 0 inbound Pith citation observations for arXiv:1908.06609.

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

pith.paper-citation-record.v1
1908.06609 v3

Coverage vector

measured 6 of 6 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T12:50:15.203656Z

measured 6 of 6 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

6 of 6 outbound references displayed

  • verified exact2
  • verified fuzzy3
  • unresolved1
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 8254605a-8717-4024-b4a6-33b31e7ff95b · outbound

This paper cites Brander, Spherical surfaces, Experimental Mathematics 25 (2016), 257–272.

Cuspidal edges with the same first fundamental forms along a knot Brander, Spherical surfaces, Experimental Mathematics 25 (2016), 257–272

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:50:15.363587Z

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.

source=pdf_text observed=2026-08-14T12:50:15.177777Z digest=sha256:5bc26f069cce6f5fccaa842116d5d65fdb92d8e47f6825966a6f9f780c301608

Observation d80639e4-a55e-4bc6-8db1-2186999bb27f · outbound

This paper cites Fukui, Local differential geometry of cuspidal edge and swallowtai l, to appear in Osaka J.

Cuspidal edges with the same first fundamental forms along a knot Fukui, Local differential geometry of cuspidal edge and swallowtai l, to appear in Osaka J

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:50:15.344455Z

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.

source=pdf_text observed=2026-08-14T12:50:15.183164Z digest=sha256:91179433e088c861523709ca9665a934cc94529f7262733aa4692211df2b92ad

Observation e4547437-d6c1-4262-b926-5de055d8d172 · outbound

This paper cites Duality on generalized cuspidal edges preserving singular set images and first fundamental forms.

Cuspidal edges with the same first fundamental forms along a knot Duality on generalized cuspidal edges preserving singular set images and first fundamental forms

Reference 3

Resolution
verified exact
local_arxiv, observed 2026-08-14T12:50:15.283174Z

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.

source=pdf_text observed=2026-08-14T12:50:15.188081Z digest=sha256:df342ef8320f0c0d754f612a9a9899a7a931f8eea83e68b2825395c84d5aaa39

Observation 563c5844-d025-4529-9c6b-38ff879d78e9 · outbound

This paper cites Isometric deformations of wave fronts at non-degenerate singular points.

Cuspidal edges with the same first fundamental forms along a knot Isometric deformations of wave fronts at non-degenerate singular points

Reference 4

Resolution
verified exact
local_arxiv, observed 2026-08-14T12:50:15.257988Z

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.

source=pdf_text observed=2026-08-14T12:50:15.193380Z digest=sha256:b7e693e3d821e22021608faf711a51d46d8e09ed5dd235b685deb327c4813183

Observation 53789611-e719-48c9-9b2d-13ecca6404e9 · outbound

This paper cites Martins, K.

Cuspidal edges with the same first fundamental forms along a knot Martins, K

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:50:15.319593Z

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.

source=pdf_text observed=2026-08-14T12:50:15.198440Z digest=sha256:c74114316cc4e9c3995dc81f648776e991d1ee4eaa6eab974d2c2f57123cc986

Observation 6bca9486-746a-4203-a4ff-7d8a35d76fb8 · outbound

This paper cites an unresolved cited work.

Cuspidal edges with the same first fundamental forms along a knot Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:50:15.300381Z

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.

source=pdf_text observed=2026-08-14T12:50:15.203656Z digest=sha256:75f51d15fb4aed32ed13eaccee064abcd444ac7883c3aa2d128b8f20ae52d50c

Pith citing papers

No inbound Pith citation observations are available.