Pith Number

pith:Z7UKNCZ5

pith:2026:Z7UKNCZ5ACBDWJVI3TXITPLVGR

not attested not anchored not stored refs pending

Closed minimal surfaces of index one in Riemannian manifolds

Andr\'e Neves, Fernando C. Marques

arxiv:2606.03583 v1 · 2026-06-02 · 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{Z7UKNCZ5ACBDWJVI3TXITPLVGR}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

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.

Receipt and verification

First computed	2026-06-03T01:06:01.437227Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cfe8a68b3d00823b26a8dcee89bd753443f57583e9fe8c6cd2608fb5444e82f6

Aliases

arxiv: 2606.03583 · arxiv_version: 2606.03583v1 · doi: 10.48550/arxiv.2606.03583 · pith_short_12: Z7UKNCZ5ACBD · pith_short_16: Z7UKNCZ5ACBDWJVI · pith_short_8: Z7UKNCZ5

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/Z7UKNCZ5ACBDWJVI3TXITPLVGR \
  | 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: cfe8a68b3d00823b26a8dcee89bd753443f57583e9fe8c6cd2608fb5444e82f6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ea651cf5ec660ee4a933ff799726af5da654b9688e8d41b9a28497009074d7b",
    "cross_cats_sorted": [
      "math.AP",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2026-06-02T12:51:18Z",
    "title_canon_sha256": "18083d7505e7477f4bef04939f95228ca3dab414a072f2815e70450573528bda"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.03583",
    "kind": "arxiv",
    "version": 1
  }
}