Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-14T13:46:21.348368Z
Paper Citation Record · LEDGER
The fundamental theorem for singular surfaces with limiting tangent planes
As of 16 August 2026, this Paper Citation Record lists 15 of 15 outbound references and 0 inbound Pith citation observations for arXiv:1908.04821.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
15 of 15 outbound references displayed
- verified exact2
- verified fuzzy6
- unresolved7
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 9c33afab-4579-4e6d-849a-b32860ae1707 · outbound
This paper cites an unresolved cited work.
The fundamental theorem for singular surfaces with limiting tangent planes Unresolved cited work
Reference 1
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T13:46:21.613975Z
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 0403482c-782b-4831-a31e-12a076e5fce2 · outbound
This paper cites an unresolved cited work.
The fundamental theorem for singular surfaces with limiting tangent planes Unresolved cited work
Reference 2
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T13:46:21.599465Z
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 87036bfd-86f1-4e96-ae5d-61bf5a8120e1 · outbound
This paper cites Fujimori, K.
The fundamental theorem for singular surfaces with limiting tangent planes Fujimori, K
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:46:21.585096Z
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 9b0c39a4-af73-47e8-be42-e69bb4dd0988 · outbound
This paper cites Fukunaga, M.
The fundamental theorem for singular surfaces with limiting tangent planes Fukunaga, M
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:46:21.570929Z
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 44e3cc3c-5379-4cb6-95b9-bfe056edba2a · outbound
This paper cites Hasegawa, A.
The fundamental theorem for singular surfaces with limiting tangent planes Hasegawa, A
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:46:21.555151Z
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 ca276070-196c-4f61-a7d9-833d0075b83f · outbound
This paper cites Recognition Problem of Frontal Singularities.
The fundamental theorem for singular surfaces with limiting tangent planes Recognition Problem of Frontal Singularities
Reference 6
- Resolution
- verified exact
- local_arxiv, observed 2026-08-14T13:46:21.416739Z
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 ef67df37-f21a-4d0d-afb3-c3bf32318a19 · outbound
This paper cites Ishikawa, Singularities of frontals, Adv.
The fundamental theorem for singular surfaces with limiting tangent planes Ishikawa, Singularities of frontals, Adv
Reference 7
- Resolution
- unresolved
- no resolver link, observed 2026-08-14T13:46:21.309242Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 844da62a-2472-44b3-8748-9359644996f2 · outbound
This paper cites Kokubu, W.
The fundamental theorem for singular surfaces with limiting tangent planes Kokubu, W
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:46:21.527781Z
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 4cc3a99e-3e56-4824-a451-e586c9f8aa98 · outbound
This paper cites Kossowski, Realizing a singular first fundamental form as a nonimmersed surface in Eu- clidean 3-space, J.
The fundamental theorem for singular surfaces with limiting tangent planes Kossowski, Realizing a singular first fundamental form as a nonimmersed surface in Eu- clidean 3-space, J
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:46:21.511461Z
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 e6445cf2-0034-4f3c-a63b-5cc9f4f8a41a · outbound
This paper cites Singularities of a surface given by Kenmotsu-type formula in Euclidean three-space.
The fundamental theorem for singular surfaces with limiting tangent planes Singularities of a surface given by Kenmotsu-type formula in Euclidean three-space
Reference 10
- Resolution
- verified exact
- local_arxiv, observed 2026-08-14T13:46:21.393477Z
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 41fd17df-9739-426c-8abe-4189fcc98ea9 · outbound
This paper cites an unresolved cited work.
The fundamental theorem for singular surfaces with limiting tangent planes Unresolved cited work
Reference 11
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T13:46:21.495459Z
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 d0e88d80-405c-4fcc-9041-90adb61aaaa3 · outbound
This paper cites Saji, Criteria for cuspidal Sk singularities and their applications.
The fundamental theorem for singular surfaces with limiting tangent planes Saji, Criteria for cuspidal Sk singularities and their applications
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:46:21.479220Z
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 6a2c3816-cac1-47d7-8769-90449b910a42 · outbound
This paper cites an unresolved cited work.
The fundamental theorem for singular surfaces with limiting tangent planes Unresolved cited work
Reference 13
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T13:46:21.461665Z
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 fb7061d1-a89a-4eda-80e2-9f9ab5456064 · outbound
This paper cites an unresolved cited work.
The fundamental theorem for singular surfaces with limiting tangent planes Unresolved cited work
Reference 14
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T13:46:21.447291Z
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 f7166e56-d39b-4888-99c5-00d50d7d79e7 · outbound
This paper cites an unresolved cited work.
The fundamental theorem for singular surfaces with limiting tangent planes Unresolved cited work
Reference 15
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T13:46:21.432474Z
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.