Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-11T04:26:35.236554Z
Paper Citation Record · LEDGER
Normal forms of functions with degenerate singularities on surfaces equipped with semi-free circle actions
As of 14 August 2026, this Paper Citation Record lists 19 of 19 outbound references and 1 inbound Pith citation observation for arXiv:2412.18944.
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 2026-08-14T06:32:32.682623+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-06T18:03:31.582992Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-08-06T18:03:36.221171Z
Reference resolution
19 of 19 outbound references displayed
- verified exact2
- verified fuzzy9
- unresolved8
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 35c5f6f2-7b5d-41cf-8285-c25133592b50 · outbound
This paper cites an unresolved cited work.
Normal forms of functions with degenerate singularities on surfaces equipped with semi-free circle actions Unresolved cited work
Reference 1
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T04:26:35.659969Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 4183f265-5dbe-44dd-a366-bc570cc25755 · outbound
This paper cites Homotopy type of stabilizers of smooth functions with non-isolated singularities on surfaces.
Normal forms of functions with degenerate singularities on surfaces equipped with semi-free circle actions Homotopy type of stabilizers of smooth functions with non-isolated singularities on surfaces
Reference 2
- Resolution
- verified exact
- local_arxiv, observed 2026-08-11T04:26:35.302835Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 412cfff9-a260-4857-b372-28dde12802d6 · outbound
This paper cites an unresolved cited work.
Normal forms of functions with degenerate singularities on surfaces equipped with semi-free circle actions Unresolved cited work
Reference 3
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T04:26:35.645807Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 02978856-2e3c-4ea0-a74e-c6c341a9e8c6 · outbound
This paper cites an unresolved cited work.
Normal forms of functions with degenerate singularities on surfaces equipped with semi-free circle actions Unresolved cited work
Reference 4
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T04:26:35.632594Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation d8a1ed62-fa5a-4edd-8115-f55d746fb761 · outbound
This paper cites an unresolved cited work.
Normal forms of functions with degenerate singularities on surfaces equipped with semi-free circle actions Unresolved cited work
Reference 5
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T04:26:35.618490Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 26bb4aea-d82a-4b3e-b0cc-7ef06236924a · outbound
This paper cites an unresolved cited work.
Normal forms of functions with degenerate singularities on surfaces equipped with semi-free circle actions Unresolved cited work
Reference 6
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T04:26:35.603178Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 38562149-5749-4a79-9794-9c6c943d421b · outbound
This paper cites Stabilizers and orbits of smooth fun ctions.
Normal forms of functions with degenerate singularities on surfaces equipped with semi-free circle actions Stabilizers and orbits of smooth fun ctions
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T04:26:35.588826Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 42760529-6f3d-43eb-ba88-c84bde816d8d · outbound
This paper cites Smooth shifts along trajectories of flows.
Normal forms of functions with degenerate singularities on surfaces equipped with semi-free circle actions Smooth shifts along trajectories of flows
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T04:26:35.574632Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 810a8ed7-39ce-4ade-8dc1-0d1e757351ac · outbound
This paper cites Homotopy types of stabilizers and or bits of Morse functions on surfaces.
Normal forms of functions with degenerate singularities on surfaces equipped with semi-free circle actions Homotopy types of stabilizers and or bits of Morse functions on surfaces
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T04:26:35.560392Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 6c6c1dbd-2c29-47d1-bf0c-63bcf844170a · outbound
This paper cites Reparametrizations of vector fields and their shift maps.
Normal forms of functions with degenerate singularities on surfaces equipped with semi-free circle actions Reparametrizations of vector fields and their shift maps
Reference 10
- Resolution
- verified exact
- local_arxiv, observed 2026-08-11T04:26:35.281414Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation fede7ab1-71ac-4219-bf94-6c03c3b9bdb8 · outbound
This paper cites Homotopy types of right stabilizer s and orbits of smooth functions functions on surfaces.
Normal forms of functions with degenerate singularities on surfaces equipped with semi-free circle actions Homotopy types of right stabilizer s and orbits of smooth functions functions on surfaces
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T04:26:35.545523Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 22f463b5-4e6c-41f7-bef5-b06f20cff7af · outbound
This paper cites Deformations of functions on surfa ces.
Normal forms of functions with degenerate singularities on surfaces equipped with semi-free circle actions Deformations of functions on surfa ces
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T04:26:35.530651Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation aba9bdf5-5db7-41f6-b83a-b64b2dd645a9 · outbound
This paper cites Martínez-Alfaro, I.
Normal forms of functions with degenerate singularities on surfaces equipped with semi-free circle actions Martínez-Alfaro, I
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T04:26:35.516087Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 12382ff0-d5cb-454b-8ff9-9fe19d753fdb · outbound
This paper cites An introduction to Morse theory , volume 208 of Translations of Mathematical Mono- graphs.
Normal forms of functions with degenerate singularities on surfaces equipped with semi-free circle actions An introduction to Morse theory , volume 208 of Translations of Mathematical Mono- graphs
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T04:26:35.501482Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 0f1626b3-0ac1-4222-a886-8e28c77975b3 · outbound
This paper cites Geometry of differential forms , volume 201 of Translations of Mathematical Monographs.
Normal forms of functions with degenerate singularities on surfaces equipped with semi-free circle actions Geometry of differential forms , volume 201 of Translations of Mathematical Monographs
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T04:26:35.486621Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 32562186-a3e9-414d-a685-2ae8d668e549 · outbound
This paper cites an unresolved cited work.
Normal forms of functions with degenerate singularities on surfaces equipped with semi-free circle actions Unresolved cited work
Reference 16
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T04:26:35.470252Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 78b96364-1209-4c83-8b54-7e47f5623eb7 · outbound
This paper cites an unresolved cited work.
Normal forms of functions with degenerate singularities on surfaces equipped with semi-free circle actions Unresolved cited work
Reference 17
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T04:26:35.347820Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 5b2617d3-8522-4e4e-8d40-136a4cace68b · outbound
This paper cites an unresolved cited work.
Normal forms of functions with degenerate singularities on surfaces equipped with semi-free circle actions Unresolved cited work
Reference 18
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T04:26:35.332682Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 34c56ee5-4d82-49be-8cc5-c936f1ee70fe · outbound
This paper cites Differentiable even functions.
Normal forms of functions with degenerate singularities on surfaces equipped with semi-free circle actions Differentiable even functions
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T04:26:35.317919Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Pith citing papers
Observation 196d9c77-865d-436b-ac82-4152405ccc1c · inbound
Reconstruction of real algebraic functions into curves with prescribed Reeb graphs cites this paper.
Reconstruction of real algebraic functions into curves with prescribed Reeb graphs Normal forms of functions with degenerate singularities on surfaces equipped with semi-free circle actions
Reference 5
- Resolution
- verified exact
- local_arxiv, observed 2026-08-06T18:03:36.373306Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.