Pith Number

pith:S7PHEVDY

pith:2025:S7PHEVDYKDNFD7MMGRIYP4S7MU

not attested not anchored not stored refs pending

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

Adrian Chun-Pong Chu

arxiv:2508.06019 v1 · 2025-08-08 · math.DG · math.AP · math.GT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{S7PHEVDYKDNFD7MMGRIYP4S7MU}

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Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

2 papers in Pith

Existence of two embedded minimal spheres in $S^3$ with an arbitrary metric

Minimal spheres and scalar curvature

Receipt and verification

First computed	2026-07-05T11:50:47.537128Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

97de72547850da51fd8c345187f25f6522057fcdd9562cc9b2e74f90d610bd16

Aliases

arxiv: 2508.06019 · arxiv_version: 2508.06019v1 · doi: 10.48550/arxiv.2508.06019 · pith_short_12: S7PHEVDYKDNF · pith_short_16: S7PHEVDYKDNFD7MM · pith_short_8: S7PHEVDY

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/S7PHEVDYKDNFD7MMGRIYP4S7MU \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 97de72547850da51fd8c345187f25f6522057fcdd9562cc9b2e74f90d610bd16

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "06e168f53e5448723733dfbf69332951ed38581d46bad955a0094606732793b7",
    "cross_cats_sorted": [
      "math.AP",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2025-08-08T05:10:32Z",
    "title_canon_sha256": "afcfed9e673dce25bc6fc3a220f40701402d6c4d63c0fa5bfd5a356f06b7e63f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.06019",
    "kind": "arxiv",
    "version": 1
  }
}