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Paper Citation Record · LEDGER

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

As of 6 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 6 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 6 of 6 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-06T06:34:29.942622+00:00

measured 6 of 6 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-05T23:09:11.297417Z

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
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  • 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 35b1a753-b5eb-42b0-a5f7-8ee20f49cc8f · inbound

Minimal surfaces with arbitrary genus in 3-spheres of positive Ricci curvature cites this paper.

Minimal surfaces with arbitrary genus in 3-spheres of positive Ricci curvature Existence of four minimal spheres in $S^3$ with a bumpy metric

Reference 81

Resolution
unresolved
no resolver link, observed 2026-08-05T23:09:11.297417Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T23:09:11.297417Z digest=sha256:1967bfd981018df43fb224e36d2be3a7b2ea2a4ca6f1552913630b26dbc134cb

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 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-10T12:59:20.064227Z digest=sha256:ec0dd998279ef9a94011a11b1dc52744e9f1eaa49701bd3ad2cd83111c2e3af9

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 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-22T08:31:06.290228Z digest=sha256:119e2b9782739019d6d9ab9bfa135289aa512cd24dd99f10da21a9d2d8781937

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 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-06-28T12:33:21.705664Z digest=sha256:04575ba672a9286f21252cb91bd04809f8142bf66f5cccb0a94e67dc93936475

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 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-06-28T08:27:16.990402Z digest=sha256:86659fd2b154f44b1a6a07d6515d345aed69a54884c2253115d79151271e6b43

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 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-06-25T22:52:31.724707Z digest=sha256:720805747e738084ae163334136c57be7f2bc86bb64c6da1dea7e037b07e0717