Pith Number

pith:O4EY772V

pith:2010:O4EY772VTYZ5DTDLQOC54PMYZ2

not attested not anchored not stored refs pending

The geometry of the disk complex

Howard Masur, Saul Schleimer

arxiv:1010.3174 v1 · 2010-10-15 · 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{O4EY772VTYZ5DTDLQOC54PMYZ2}

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	2026-05-18T04:39:17.533434Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

77098fff559e33d1cc6b8385de3d98ceba03a765da620f2e8bd3d3c74be01f13

Aliases

arxiv: 1010.3174 · arxiv_version: 1010.3174v1 · doi: 10.48550/arxiv.1010.3174 · pith_short_12: O4EY772VTYZ5 · pith_short_16: O4EY772VTYZ5DTDL · pith_short_8: O4EY772V

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/O4EY772VTYZ5DTDLQOC54PMYZ2 \
  | 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: 77098fff559e33d1cc6b8385de3d98ceba03a765da620f2e8bd3d3c74be01f13

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd18c4244a875506f911ea8ed2a2b366486ba7b76bac795973b0ad03e6e1cc7d",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/publicdomain/",
    "primary_cat": "math.GT",
    "submitted_at": "2010-10-15T14:06:44Z",
    "title_canon_sha256": "b92d01322e6006ab46656692b90886e46e3acc1a54a844c96ae9b0e74251f333"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.3174",
    "kind": "arxiv",
    "version": 1
  }
}