Pith Number

pith:NW2G74IX

pith:2010:NW2G74IXXLIZ5RZC3JIHHFOQBQ

not attested not anchored not stored refs pending

The space of Heegaard Splittings

Darryl McCullough, Jesse Johnson

arxiv:1011.0702 v2 · 2010-11-02 · 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{NW2G74IXXLIZ5RZC3JIHHFOQBQ}

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	2026-05-18T04:14:46.082855Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6db46ff117bad19ec722da507395d00c3394709316f176eee506652cb4615295

Aliases

arxiv: 1011.0702 · arxiv_version: 1011.0702v2 · doi: 10.48550/arxiv.1011.0702 · pith_short_12: NW2G74IXXLIZ · pith_short_16: NW2G74IXXLIZ5RZC · pith_short_8: NW2G74IX

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/NW2G74IXXLIZ5RZC3JIHHFOQBQ \
  | 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: 6db46ff117bad19ec722da507395d00c3394709316f176eee506652cb4615295

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c9a35bb11c42465942141229e25e995971a1b442f4aefe573bc8f78a7529ba2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2010-11-02T18:54:07Z",
    "title_canon_sha256": "c33772eee697e3a902769b1e9c9f91a08e779c7eb4c645d8caa832c3482e74a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.0702",
    "kind": "arxiv",
    "version": 2
  }
}