Pith. sign in

Paper Citation Record · LEDGER

Existence of four minimal spheres in $S^3$ with a bumpy metric

As of 5 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 5 inbound Pith citation observations for arXiv:2305.08755.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2305.08755 v2

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 5 of 5 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-05T06:32:48.257954+00:00

measured 5 of 5 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-06-28T12:33:21.705664Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: arxiv_reference, observed 2026-07-04T18:30:01.211741Z

Reference resolution

0 of 0 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved0
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation 702b662a-da91-4e84-ba6e-8c248cfe7be9 · inbound

Infinite existence of equivariant minimal hypersurfaces cites this paper.

Infinite existence of equivariant minimal hypersurfaces Existence of four minimal spheres in $S^3$ with a bumpy metric

Reference 48

Resolution
verified exact
arxiv_id, observed 2026-05-10T13:00:24.382964Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-10T12:59:20.064227Z digest=sha256:601f47457ce3cd5388e7d8e1a5d36a646cd1b73df7b5c1c2059960be0b34f05e

Observation 0f9db777-b475-4476-9df1-586a66508ece · inbound

Minimal spheres and scalar curvature cites this paper.

Minimal spheres and scalar curvature Existence of four minimal spheres in $S^3$ with a bumpy metric

Reference 35

Resolution
verified exact
arxiv_id, observed 2026-05-22T08:31:16.709755Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-22T08:31:06.290228Z digest=sha256:ebecfdb7d4fc5b4d648bdcf4c5aad3011b985fa8debc4dcbc03997b902242657

Observation 85d1f20b-88e0-41e0-93ff-86157775ed96 · inbound

Existence of free boundary minimal disks in convex regions cites this paper.

Existence of free boundary minimal disks in convex regions Existence of four minimal spheres in $S^3$ with a bumpy metric

Reference 33

Resolution
verified exact
arxiv_id, observed 2026-07-02T01:06:24.885032Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-06-28T12:33:21.705664Z digest=sha256:cfed8517261ead462cb69281e156fa102b530d480a489570033e92dd15eb5b4f

Observation 7d0c64b3-9d2c-479c-bd5a-988ffba70211 · inbound

Closed minimal surfaces of index one in Riemannian manifolds cites this paper.

Closed minimal surfaces of index one in Riemannian manifolds Existence of four minimal spheres in $S^3$ with a bumpy metric

Reference 51

Resolution
verified exact
arxiv_id, observed 2026-07-02T05:16:38.902622Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-06-28T08:27:16.990402Z digest=sha256:843ae388eed0c8bf6930fd9295ca404f3ef9f1e0f8902b86c9d750d89ce30bba

Observation a5675a34-26bf-45b6-a81e-6c2f9e8f9de8 · inbound

Existence of classical minimal surfaces in $4$ and $5$-manifolds cites this paper.

Existence of classical minimal surfaces in $4$ and $5$-manifolds Existence of four minimal spheres in $S^3$ with a bumpy metric

Reference 65

Resolution
verified exact
arxiv_id, observed 2026-07-04T18:30:01.213258Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-06-25T22:52:31.724707Z digest=sha256:1015fd94258c75d0291e862d46b289fc5423f974cbc6fd11463311512fada625