Pith Number

pith:LGYZO6CL

pith:2010:LGYZO6CL5UUXNJK5PGHNKXN7Q6

not attested not anchored not stored refs pending

Double pants decompositions of 2-surfaces

Anna Felikson, Sergey Natanzon

arxiv:1005.0073 v3 · 2010-05-01 · math.GT · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LGYZO6CL5UUXNJK5PGHNKXN7Q6}

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	2026-05-18T04:33:29.289502Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

59b197784bed2976a55d798ed55dbf87b0d30858140f02a5fdccaf459d1bedc5

Aliases

arxiv: 1005.0073 · arxiv_version: 1005.0073v3 · doi: 10.48550/arxiv.1005.0073 · pith_short_12: LGYZO6CL5UUX · pith_short_16: LGYZO6CL5UUXNJK5 · pith_short_8: LGYZO6CL

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/LGYZO6CL5UUXNJK5PGHNKXN7Q6 \
  | 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: 59b197784bed2976a55d798ed55dbf87b0d30858140f02a5fdccaf459d1bedc5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d5ffd50591014de4b6962cfd3f1b870b9a7fb8bd17b26d42ef5b6385704d473c",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2010-05-01T13:49:13Z",
    "title_canon_sha256": "02bed5268ebefbcad0792bbc93d4244c917a28d292a1e08573578ef93bcda180"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.0073",
    "kind": "arxiv",
    "version": 3
  }
}