Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-05T15:45:44.124835Z
Paper Citation Record · LEDGER
Smooth functions that split a Klein bottle into two M\"obius bands
As of 20 August 2026, this Paper Citation Record lists 45 of 45 outbound references and 0 inbound Pith citation observations for arXiv:2508.19636.
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 2026-08-20T06:33:59.587034+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
45 of 45 outbound references displayed
- verified exact24
- verified fuzzy13
- unresolved6
- parse uncertain0
- malformed identifier1
- metadata mismatch1
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation d78da058-650a-48f0-81e4-5b9790347514 · outbound
This paper cites Auslander and M.
Smooth functions that split a Klein bottle into two M\"obius bands Auslander and M
Reference 1
- Resolution
- verified exact
- doi, observed 2026-08-05T15:45:46.677101Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 9fa41184-5c31-4e64-ba3a-cb841baa67b1 · outbound
This paper cites an unresolved cited work.
Smooth functions that split a Klein bottle into two M\"obius bands Unresolved cited work
Reference 2
- Resolution
- unresolved
- raw_fallback, observed 2026-08-05T15:45:49.914846Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation ce498bad-bec1-4ea3-8561-c51a37a90e7e · outbound
This paper cites an unresolved cited work.
Smooth functions that split a Klein bottle into two M\"obius bands Unresolved cited work
Reference 3
- Resolution
- unresolved
- no resolver link, observed 2026-08-05T15:45:38.034843Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8224e174-17a9-4214-a735-d90fc3ea16d2 · outbound
This paper cites an unresolved cited work.
Smooth functions that split a Klein bottle into two M\"obius bands Unresolved cited work
Reference 5
- Resolution
- malformed identifier
- raw_fallback, observed 2026-08-05T15:45:49.742782Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 50facc80-4f19-4c9d-add3-54cdb076059a · outbound
This paper cites Feshchenko.
Smooth functions that split a Klein bottle into two M\"obius bands Feshchenko
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T15:45:49.634982Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation d9cad1fb-2097-4735-9797-c8bc8276e1b3 · outbound
This paper cites Deformations of smooth function on $2$-torus whose KR-graph is a tree.
Smooth functions that split a Klein bottle into two M\"obius bands Deformations of smooth function on $2$-torus whose KR-graph is a tree
Reference 7
- Resolution
- verified exact
- local_arxiv, observed 2026-08-05T15:45:46.495253Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation a50bc467-3267-4057-9951-90177eba8b11 · outbound
This paper cites Feshchenko.
Smooth functions that split a Klein bottle into two M\"obius bands Feshchenko
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T15:45:49.354744Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 928a0264-82e2-4207-a7f2-f7d54ad44caa · outbound
This paper cites Feshchenko.
Smooth functions that split a Klein bottle into two M\"obius bands Feshchenko
Reference 9
- Resolution
- verified exact
- doi, observed 2026-08-05T15:45:46.398967Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 7affe5a6-deee-47d0-882d-55f7c57cbdef · outbound
This paper cites Feshchenko.
Smooth functions that split a Klein bottle into two M\"obius bands Feshchenko
Reference 10
- Resolution
- verified exact
- doi, observed 2026-08-05T15:45:46.368648Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation bf6da8cb-60e4-4cc3-88b2-c6a76fbfe364 · outbound
This paper cites Groups acting on the circle.
Smooth functions that split a Klein bottle into two M\"obius bands Groups acting on the circle
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T15:45:49.204745Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation dcfcdf67-4a63-4eae-a66d-d00ae6e81164 · outbound
This paper cites Higher string topology operations.
Smooth functions that split a Klein bottle into two M\"obius bands Higher string topology operations
Reference 12
- Resolution
- unresolved
- no resolver link, observed 2026-08-05T15:45:39.176139Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b1e03c48-9377-477a-94d4-44ae4915c950 · outbound
This paper cites Le type d’homotopie du groupe des diff´ eomorphismes d’une surface compacte.
Smooth functions that split a Klein bottle into two M\"obius bands Le type d’homotopie du groupe des diff´ eomorphismes d’une surface compacte
Reference 13
- Resolution
- verified exact
- doi, observed 2026-08-05T15:45:46.325121Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation f4cd242a-034a-4baa-a403-a3db767714b1 · outbound
This paper cites Khokhliuk and S.
Smooth functions that split a Klein bottle into two M\"obius bands Khokhliuk and S
Reference 14
- Resolution
- verified exact
- doi, observed 2026-08-05T15:45:46.297491Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 07e255f7-0d86-440d-a61f-7ec993998545 · outbound
This paper cites Khokhliuk and S.
Smooth functions that split a Klein bottle into two M\"obius bands Khokhliuk and S
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T15:45:49.058089Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation ac16f153-0962-45fe-91cc-a60d8a2b1cb0 · outbound
This paper cites Kravchenko and B.
Smooth functions that split a Klein bottle into two M\"obius bands Kravchenko and B
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T15:45:48.932092Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation f84e9ea0-2f5e-4b2c-b99e-6b729fa4637f · outbound
This paper cites Kudryavtseva.
Smooth functions that split a Klein bottle into two M\"obius bands Kudryavtseva
Reference 17
- Resolution
- verified exact
- doi, observed 2026-08-05T15:45:46.241450Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation d3b4048c-77e3-43a6-a134-a6d48de72ef7 · outbound
This paper cites Kudryavtseva.
Smooth functions that split a Klein bottle into two M\"obius bands Kudryavtseva
Reference 18
- Resolution
- verified exact
- doi, observed 2026-08-05T15:45:46.204745Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation eafaf47a-4609-400e-94a4-7ed3053afb0f · outbound
This paper cites Kudryavtseva.
Smooth functions that split a Klein bottle into two M\"obius bands Kudryavtseva
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T15:45:48.784750Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation da05c403-1acd-4fe1-b76b-b890f15fb014 · outbound
This paper cites Kudryavtseva.
Smooth functions that split a Klein bottle into two M\"obius bands Kudryavtseva
Reference 20
- Resolution
- verified exact
- doi, observed 2026-08-05T15:45:46.094250Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation d266f401-5503-419d-bd4c-8187a1d268ad · outbound
This paper cites Kudryavtseva.
Smooth functions that split a Klein bottle into two M\"obius bands Kudryavtseva
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T15:45:48.644744Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 326e5af5-071b-4ae5-8d42-48aef736c2ae · outbound
This paper cites Topology of spaces of smooth functions and gradient-like flows with prescribed singularities on surfaces.
Smooth functions that split a Klein bottle into two M\"obius bands Topology of spaces of smooth functions and gradient-like flows with prescribed singularities on surfaces
Reference 22
- Resolution
- verified exact
- local_arxiv, observed 2026-08-05T15:45:46.013043Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 737a7378-f8bc-4df8-ac21-be4ab1a97b08 · outbound
This paper cites Kuznietsova and Yu.
Smooth functions that split a Klein bottle into two M\"obius bands Kuznietsova and Yu
Reference 23
- Resolution
- verified exact
- doi, observed 2026-08-05T15:45:45.915513Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 3815383d-bf35-463b-b999-c0ddc11f80e5 · outbound
This paper cites Maksymenko.
Smooth functions that split a Klein bottle into two M\"obius bands Maksymenko
Reference 24
- Resolution
- verified exact
- doi, observed 2026-08-05T15:45:45.861941Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 3b3fd1f1-62d2-40fd-b004-3efab42e970c · outbound
This paper cites Deformational symmetries of smooth functions on non- orientable surfaces.
Smooth functions that split a Klein bottle into two M\"obius bands Deformational symmetries of smooth functions on non- orientable surfaces
Reference 25
- Resolution
- verified exact
- doi, observed 2026-08-05T15:45:45.803278Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 800f576a-f8a8-4452-9082-a1ac5cd5064d · outbound
This paper cites an unresolved cited work.
Smooth functions that split a Klein bottle into two M\"obius bands Unresolved cited work
Reference 26
- Resolution
- verified exact
- doi, observed 2026-08-05T15:45:45.705743Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 782692f5-4d17-4777-a369-e203e31c0233 · outbound
This paper cites Maksymenko.
Smooth functions that split a Klein bottle into two M\"obius bands Maksymenko
Reference 27
- Resolution
- verified exact
- doi, observed 2026-08-05T15:45:45.498465Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation eae1f337-fa9d-4b70-82c9-56365816d37d · outbound
This paper cites Homotopy dimension of orbits of Morse functions on surfaces.
Smooth functions that split a Klein bottle into two M\"obius bands Homotopy dimension of orbits of Morse functions on surfaces
Reference 28
- Resolution
- verified exact
- local_arxiv, observed 2026-08-05T15:45:47.601665Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 794ef07b-363c-43bc-affc-e542c252a767 · outbound
This paper cites Maksymenko.
Smooth functions that split a Klein bottle into two M\"obius bands Maksymenko
Reference 29
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T15:45:48.454741Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 3b0a8899-0af2-4848-af91-26702ac9f77f · outbound
This paper cites Functions with isolated singularities on surfaces.
Smooth functions that split a Klein bottle into two M\"obius bands Functions with isolated singularities on surfaces
Reference 30
- Resolution
- verified exact
- local_arxiv, observed 2026-08-05T15:45:47.526281Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 01cc5b98-e634-4103-8208-dbda25aee306 · outbound
This paper cites Local inverses of shift maps along orbits of flows.
Smooth functions that split a Klein bottle into two M\"obius bands Local inverses of shift maps along orbits of flows
Reference 31
- Resolution
- verified exact
- local_arxiv, observed 2026-08-05T15:45:47.448737Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 3c360dfc-f906-4e7d-8417-ccc42f904d4d · outbound
This paper cites Functions with isolated singularities on surfaces, II.
Smooth functions that split a Klein bottle into two M\"obius bands Functions with isolated singularities on surfaces, II
Reference 32
- Resolution
- verified exact
- local_arxiv, observed 2026-08-05T15:45:47.367574Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 6dd13494-2177-40ca-acff-0ffd1855f549 · outbound
This paper cites Maksymenko.
Smooth functions that split a Klein bottle into two M\"obius bands Maksymenko
Reference 33
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T15:45:48.304130Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 15ace046-74a2-4483-9c4b-3e1ec9c27b96 · outbound
This paper cites Maksymenko.
Smooth functions that split a Klein bottle into two M\"obius bands Maksymenko
Reference 34
- Resolution
- unresolved
- no resolver link, observed 2026-08-05T15:45:42.526065Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation bf9efde8-d7ad-43d9-b990-874a7316d8b1 · outbound
This paper cites Maksymenko and B.
Smooth functions that split a Klein bottle into two M\"obius bands Maksymenko and B
Reference 35
- Resolution
- verified exact
- doi, observed 2026-08-05T15:45:45.146967Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 9fa337d1-689b-4e2f-b6bc-2ced0fa28c3c · outbound
This paper cites Maksymenko and B.
Smooth functions that split a Klein bottle into two M\"obius bands Maksymenko and B
Reference 36
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T15:45:48.240183Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 255f1cc6-03ca-4d3e-9498-c91e69798412 · outbound
This paper cites an unresolved cited work.
Smooth functions that split a Klein bottle into two M\"obius bands Unresolved cited work
Reference 37
- Resolution
- verified exact
- doi, observed 2026-08-05T15:45:44.914743Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 69350246-eae8-42ec-b7ea-7c18fdc92c84 · outbound
This paper cites Topological actions of wreath products.
Smooth functions that split a Klein bottle into two M\"obius bands Topological actions of wreath products
Reference 38
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T15:45:48.149786Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation f401c7fe-58f3-4fd4-accf-20379b7eaf38 · outbound
This paper cites Vector bundle automorphisms preserving Morse-Bott foliations.
Smooth functions that split a Klein bottle into two M\"obius bands Vector bundle automorphisms preserving Morse-Bott foliations
Reference 39
- Resolution
- metadata mismatch
- raw_fallback, observed 2026-08-05T15:45:46.995904Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 4f3500a9-4879-4448-b5d9-0d8f8d44af7c · outbound
This paper cites The Sullivan conjecture on maps from classifying spaces.
Smooth functions that split a Klein bottle into two M\"obius bands The Sullivan conjecture on maps from classifying spaces
Reference 40
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T15:45:48.059335Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation ed721b1c-a2d4-46d6-8d24-a53a93c58e64 · outbound
This paper cites Un th´ eor` eme de fonctions implicites sur certains espaces de Fr´ echet et quelques applications.
Smooth functions that split a Klein bottle into two M\"obius bands Un th´ eor` eme de fonctions implicites sur certains espaces de Fr´ echet et quelques applications
Reference 41
- Resolution
- verified exact
- doi, observed 2026-08-05T15:45:44.414065Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 58442723-783d-476b-8e70-d3939574421b · outbound
This paper cites Diffeomorphisms of the 2-sphere.
Smooth functions that split a Klein bottle into two M\"obius bands Diffeomorphisms of the 2-sphere
Reference 42
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T15:45:47.956657Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 48794d6a-0fa4-490f-b551-30739a0d2075 · outbound
This paper cites an unresolved cited work.
Smooth functions that split a Klein bottle into two M\"obius bands Unresolved cited work
Reference 43
- Resolution
- unresolved
- no resolver link, observed 2026-08-05T15:45:44.124835Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a7121726-8718-47ed-ae0c-32095861a94b · outbound
This paper cites an unresolved cited work.
Smooth functions that split a Klein bottle into two M\"obius bands Unresolved cited work
Reference 1986
- Resolution
- unresolved
- no resolver link, observed 2026-08-05T15:45:37.904761Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e64ae570-775c-4145-a690-46a9ea124291 · outbound
This paper cites Zametki 92 (2012), no.
Smooth functions that split a Klein bottle into two M\"obius bands Zametki 92 (2012), no
Reference 2012
- Resolution
- verified exact
- doi, observed 2026-08-05T15:45:46.132663Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation fc02dc43-47d4-4911-a53d-1f15f3af9c6b · outbound
This paper cites an unresolved cited work.
Smooth functions that split a Klein bottle into two M\"obius bands Unresolved cited work
Reference 2024
- Resolution
- verified exact
- doi, observed 2026-08-05T15:45:44.694768Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Pith citing papers
No inbound Pith citation observations are available.