Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-15T18:39:15.596041Z
Paper Citation Record · LEDGER
Existence of a constant-mean-curvature hypertorus in \(S^4\) via computer assistance
As of 19 August 2026, this Paper Citation Record lists 9 of 9 outbound references and 1 inbound Pith citation observation for arXiv:2506.19555.
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 2026-08-18T06:34:40.430872+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-07-11T11:28:48.019384Z
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
9 of 9 outbound references displayed
- verified exact3
- verified fuzzy2
- unresolved4
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation a0c410f7-47ad-4a45-8990-94c4ebb50d8c · outbound
This paper cites an unresolved cited work.
Existence of a constant-mean-curvature hypertorus in \(S^4\) via computer assistance Unresolved cited work
Reference 1
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T18:39:15.885154Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation a558525f-508c-4b14-badf-09537911613c · outbound
This paper cites and Schulz M.
Existence of a constant-mean-curvature hypertorus in \(S^4\) via computer assistance and Schulz M
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:39:15.855829Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 70923ff7-a2d9-48a9-a054-9d15a14765e8 · outbound
This paper cites New examples of constant mean curvature hypersurfaces in the sphere.
Existence of a constant-mean-curvature hypertorus in \(S^4\) via computer assistance New examples of constant mean curvature hypersurfaces in the sphere
Reference 3
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T18:39:15.553818Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 360cbbc7-b632-4002-ba45-9367596d36a8 · outbound
This paper cites and Wei, G.Embedded contant mean curvature hypertori in the2n-sphere, Personal communi- cation.
Existence of a constant-mean-curvature hypertorus in \(S^4\) via computer assistance and Wei, G.Embedded contant mean curvature hypertori in the2n-sphere, Personal communi- cation
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:39:15.828273Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 69d0225d-351f-4a7f-9ea5-eb4ab0a692e8 · outbound
This paper cites an unresolved cited work.
Existence of a constant-mean-curvature hypertorus in \(S^4\) via computer assistance Unresolved cited work
Reference 5
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T18:39:15.806497Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation a0ecefb2-5b05-452e-ac8d-b1d9bf47ff53 · outbound
This paper cites Navigating the Space of Compact CMC Hypersurfaces in Spheres, Part I.
Existence of a constant-mean-curvature hypertorus in \(S^4\) via computer assistance Navigating the Space of Compact CMC Hypersurfaces in Spheres, Part I
Reference 6
- Resolution
- verified exact
- local_arxiv, observed 2026-08-15T18:39:15.735210Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation b832926d-d8bc-4940-9828-5383d33b8dda · outbound
This paper cites Navigating the Space of Compact CMC Hypersurfaces in Spheres, Part II.
Existence of a constant-mean-curvature hypertorus in \(S^4\) via computer assistance Navigating the Space of Compact CMC Hypersurfaces in Spheres, Part II
Reference 7
- Resolution
- verified exact
- local_arxiv, observed 2026-08-15T18:39:15.700087Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 0f49dfaf-3dd6-401e-a140-1bbc3fc4bcaf · outbound
This paper cites an unresolved cited work.
Existence of a constant-mean-curvature hypertorus in \(S^4\) via computer assistance Unresolved cited work
Reference 8
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T18:39:15.785093Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 4f21c738-ffb2-4e0c-bc01-4121de2616e4 · outbound
This paper cites A small variation of the Taylor Method and periodic solutions of the 3-body problem.
Existence of a constant-mean-curvature hypertorus in \(S^4\) via computer assistance A small variation of the Taylor Method and periodic solutions of the 3-body problem
Reference 9
- Resolution
- verified exact
- local_arxiv, observed 2026-08-15T18:39:15.665898Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Pith citing papers
Observation 6d74a6df-32bf-4ac1-8bc9-4925c3d4c36e · inbound
New Explicit Eigenfunctions of the stability operator on some minimal hypersurfaces cites this paper.
New Explicit Eigenfunctions of the stability operator on some minimal hypersurfaces Existence of a constant-mean-curvature hypertorus in \(S^4\) via computer assistance
Reference 11
- Resolution
- unresolved
- no resolver link, observed 2026-07-11T11:28:48.019384Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.