Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-05-10T08:02:49.026199Z
Paper Citation Record · LEDGER
A note on reducing spheres for the genus-4 Heegaard surface in the 3-sphere
As of 14 August 2026, this Paper Citation Record lists 10 of 10 outbound references and 0 inbound Pith citation observations for arXiv:2604.15722.
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
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
10 of 10 outbound references displayed
- verified exact1
- verified fuzzy6
- unresolved3
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 3f544fdd-6234-41b5-b98e-fbcdc32cc25e · outbound
This paper cites Bachman, Critical Heegaard surfaces, Trans.
A note on reducing spheres for the genus-4 Heegaard surface in the 3-sphere Bachman, Critical Heegaard surfaces, Trans
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-21T11:45:04.060004Z
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 11832343-90e8-43d4-8760-b13da0b5e06f · outbound
This paper cites Bachman, Connected sums of unstabilizd Heegaard splittings a re unstabilized, Geom.
A note on reducing spheres for the genus-4 Heegaard surface in the 3-sphere Bachman, Connected sums of unstabilizd Heegaard splittings a re unstabilized, Geom
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-21T11:45:04.062148Z
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 fe0d3176-9b90-4ae1-aa7e-07b43a9ae99e · outbound
This paper cites Bachman, Topological index theory for surfaces in 3-manifold s, Geom.
A note on reducing spheres for the genus-4 Heegaard surface in the 3-sphere Bachman, Topological index theory for surfaces in 3-manifold s, Geom
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-21T11:45:04.056155Z
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 394678e2-206f-463c-842b-234cbef47357 · outbound
This paper cites an unresolved cited work.
A note on reducing spheres for the genus-4 Heegaard surface in the 3-sphere Unresolved cited work
Reference 4
- Resolution
- unresolved
- raw_fallback, observed 2026-05-21T11:45:04.070696Z
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 ce3cdcb7-3fa9-49ab-b70b-21401bb24652 · outbound
This paper cites an unresolved cited work.
A note on reducing spheres for the genus-4 Heegaard surface in the 3-sphere Unresolved cited work
Reference 5
- Resolution
- unresolved
- raw_fallback, observed 2026-05-21T11:45:04.072625Z
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 98231835-6f68-4c4e-a8ea-4d1875d62da7 · outbound
This paper cites an unresolved cited work.
A note on reducing spheres for the genus-4 Heegaard surface in the 3-sphere Unresolved cited work
Reference 6
- Resolution
- verified exact
- arxiv_id, observed 2026-05-10T09:18:32.246669Z
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 f25685c3-d194-4365-85cc-c46c9709c58c · outbound
This paper cites Farb and D.
A note on reducing spheres for the genus-4 Heegaard surface in the 3-sphere Farb and D
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-21T11:45:04.057992Z
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 6e40a722-98cd-40fc-99f0-22da8b7bf325 · outbound
This paper cites an unresolved cited work.
A note on reducing spheres for the genus-4 Heegaard surface in the 3-sphere Unresolved cited work
Reference 8
- Resolution
- unresolved
- raw_fallback, observed 2026-05-21T11:45:04.068464Z
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 eff217f6-212d-4bcf-9c30-467274934d21 · outbound
This paper cites Waldhausen, Heegaard-Zerlegungen der 3-Sph¨ are, Topolo gy 7 (1968), 195–203.
A note on reducing spheres for the genus-4 Heegaard surface in the 3-sphere Waldhausen, Heegaard-Zerlegungen der 3-Sph¨ are, Topolo gy 7 (1968), 195–203
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-21T11:45:04.066120Z
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 071407c8-6df2-427d-86b8-a8499e68a0f0 · outbound
This paper cites Zupan, The Powell conjecture and reducing sphere complex es, J.
A note on reducing spheres for the genus-4 Heegaard surface in the 3-sphere Zupan, The Powell conjecture and reducing sphere complex es, J
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-21T11:45:04.063978Z
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
No inbound Pith citation observations are available.