Pith Number

pith:Q6KRENCW

pith:2010:Q6KRENCW4CS2WWX3AJPIDJNG7O

not attested not anchored not stored refs pending

Pants decompositions of random surfaces

Hugo Parlier, Larry Guth, Robert Young

arxiv:1011.0612 v1 · 2010-11-02 · math.GT · 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{Q6KRENCW4CS2WWX3AJPIDJNG7O}

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	2026-05-18T04:37:21.220643Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8795123456e0a5ab5afb025e81a5a6fbb52a8dbd230b233e8d46ea67fb3f2a68

Aliases

arxiv: 1011.0612 · arxiv_version: 1011.0612v1 · doi: 10.48550/arxiv.1011.0612 · pith_short_12: Q6KRENCW4CS2 · pith_short_16: Q6KRENCW4CS2WWX3 · pith_short_8: Q6KRENCW

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/Q6KRENCW4CS2WWX3AJPIDJNG7O \
  | 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: 8795123456e0a5ab5afb025e81a5a6fbb52a8dbd230b233e8d46ea67fb3f2a68

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f126ed84f0e614e3bb08e32ff0bcc7f741e29bd25c32710b8b11f4f01628ae60",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2010-11-02T13:32:15Z",
    "title_canon_sha256": "b857482ffccd6a882dc3bbb45daff84b2fd533f85f4778812d888009c4c839af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.0612",
    "kind": "arxiv",
    "version": 1
  }
}