Paper Citation Record · LEDGER

Minimal surfaces with arbitrary genus in 3-spheres of positive Ricci curvature

As of 22 August 2026, this Paper Citation Record lists 10 of 10 outbound references and 2 inbound Pith citation observations for arXiv:2508.06019.

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

pith.paper-citation-record.v1
2508.06019 v1

Coverage vector

measured 10 of 10 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T23:09:11.476917Z

measured 12 of 12 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-10T05:04:10.503198Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-07-10T05:06:47.882846Z

Reference resolution

10 of 10 outbound references displayed

verified exact2
verified fuzzy3
unresolved4
parse uncertain0
malformed identifier0
metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 1070d084-1f22-41b2-adb7-7393bafac662 · outbound

This paper cites Ricci flow and contractibility of spaces of metrics.

Minimal surfaces with arbitrary genus in 3-spheres of positive Ricci curvature Ricci flow and contractibility of spaces of metrics

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-05T23:09:10.301991Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1aec81d3-39f3-45f9-bc37-b764d1ecc441 · outbound

This paper cites 1967, pp.

Minimal surfaces with arbitrary genus in 3-spheres of positive Ricci curvature 1967, pp

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T23:09:12.456236Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 474b820f-514c-4f63-9c89-28deef019745 · outbound

This paper cites Existence and Morse Index of two free boundary embedded geodesics on Riemannian 2-disks with convex boundary.

Minimal surfaces with arbitrary genus in 3-spheres of positive Ricci curvature Existence and Morse Index of two free boundary embedded geodesics on Riemannian 2-disks with convex boundary

Reference 6

Resolution: verified exact; local_arxiv, observed 2026-08-05T23:09:11.990271Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation b668eecd-c716-43c1-9625-5c2e6e473a13 · outbound

This paper cites Existence of embedded minimal tori in three-spheres with positive Ricci curvature.

Minimal surfaces with arbitrary genus in 3-spheres of positive Ricci curvature Existence of embedded minimal tori in three-spheres with positive Ricci curvature

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-05T23:09:10.995424Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 37dd37dd-f7db-460b-a3e8-8c8cd388fc54 · outbound

This paper cites Existence of 5 minimal tori in 3-spheres of positive Ricci curvature.

Minimal surfaces with arbitrary genus in 3-spheres of positive Ricci curvature Existence of 5 minimal tori in 3-spheres of positive Ricci curvature

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-05T23:09:10.371427Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 35b1a753-b5eb-42b0-a5f7-8ee20f49cc8f · outbound

This paper cites Existence of four minimal spheres in $S^3$ with a bumpy metric.

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.

Observation 9dfe2c52-6431-4acf-8c1e-7d2947730e01 · outbound

This paper cites On the free boundary min-max geodesics.

Minimal surfaces with arbitrary genus in 3-spheres of positive Ricci curvature On the free boundary min-max geodesics

Reference 1982

Resolution: verified exact; doi, observed 2026-08-05T23:09:11.708627Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation acff608c-98a2-4c65-ad03-8701738ec389 · outbound

This paper cites Area esti- mates for high genus Lawson surfaces via DPW.

Minimal surfaces with arbitrary genus in 3-spheres of positive Ricci curvature Area esti- mates for high genus Lawson surfaces via DPW

Reference 2002

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T23:09:13.135467Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 6aff59cb-d4e5-4378-ad2d-bb3b3ee607d2 · outbound

This paper cites Homotopy of spaces of diffeomorphisms of some three-dimensional manifolds.

Minimal surfaces with arbitrary genus in 3-spheres of positive Ricci curvature Homotopy of spaces of diffeomorphisms of some three-dimensional manifolds

Reference 2012

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T23:09:12.818367Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 98733e10-e9cc-4ad0-b121-d42bf50aa96d · outbound

This paper cites Free boundary minimal disks in convex balls.

Minimal surfaces with arbitrary genus in 3-spheres of positive Ricci curvature Free boundary minimal disks in convex balls

Reference 2023

Resolution: metadata mismatch; local_arxiv, observed 2026-08-05T23:09:12.250622Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Pith citing papers

Observation 15060030-a57a-4f89-a220-078be3bb2ea9 · inbound

Minimal spheres and scalar curvature cites this paper.

Minimal spheres and scalar curvature Minimal surfaces with arbitrary genus in 3-spheres of positive Ricci curvature

Reference 5

Resolution: verified exact; arxiv_id, observed 2026-05-22T08:31:16.698065Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation f50ab3f0-5397-4f48-a553-8853c1f311d3 · inbound

Existence of two embedded minimal spheres in $S^3$ with an arbitrary metric cites this paper.

Existence of two embedded minimal spheres in $S^3$ with an arbitrary metric Minimal surfaces with arbitrary genus in 3-spheres of positive Ricci curvature

Reference 6

Resolution: verified exact; local_arxiv, observed 2026-07-10T05:06:47.884131Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.