Pith Number

pith:QKQKUCPS

pith:2014:QKQKUCPS5GGRMS5JBHYR6CH5WR

not attested not anchored not stored refs pending

CMC foliations of closed manifolds

Joaquin Perez, William H. Meeks III

arxiv:1404.1725 v4 · 2014-04-07 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QKQKUCPS5GGRMS5JBHYR6CH5WR}

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	2026-05-18T02:19:16.846484Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

82a0aa09f2e98d164ba909f11f08fdb4468e8a27dc0e40604cb5df0dacadb117

Aliases

arxiv: 1404.1725 · arxiv_version: 1404.1725v4 · doi: 10.48550/arxiv.1404.1725 · pith_short_12: QKQKUCPS5GGR · pith_short_16: QKQKUCPS5GGRMS5J · pith_short_8: QKQKUCPS

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/QKQKUCPS5GGRMS5JBHYR6CH5WR \
  | 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: 82a0aa09f2e98d164ba909f11f08fdb4468e8a27dc0e40604cb5df0dacadb117

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "872743b9d47beeacffe2cea8aa3c03f5fcc009534a97d241c3988cc6376aa545",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2014-04-07T10:29:35Z",
    "title_canon_sha256": "8a2a24e1cbb5a0bbb1cd819daa0e1eea6e874ccbfc791c87141af1f46e768ed6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.1725",
    "kind": "arxiv",
    "version": 4
  }
}