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Paper Citation Record · LEDGER

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

As of 15 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 2026-08-15T06:32:42.880941+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
  • 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 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:a4fc54a4a772abc473e636118526e3a142bb068e61ba5ceda7c9cefe8e77e67e

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-05-10T12:59:20.064227Z digest=sha256:2a225a928758505c4f9e0662e9e0ebfdfa54f0250314883c661e8e9b66c533d2

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-05-22T08:31:06.290228Z digest=sha256:85e5c736260c62f4ecabbd2e7ff941caf23a61cab55eb38dd50c074aa5621846

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-06-28T12:33:21.705664Z digest=sha256:5e97751acf485858145701e0c81827cac61bfe077249d9fae29db0d6718eb2dc

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-06-28T08:27:16.990402Z digest=sha256:93470ae4b29ef04b3085938f1656d9fbd46a87fdd297a648c46cd27d1e0b4174

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-06-25T22:52:31.724707Z digest=sha256:fcd2250f8cf82d92fc67b6f14c2d2840e4a769030c571b36f0406937d83c57e1