Pith Number

pith:GDBDWSBT

pith:2011:GDBDWSBTQI2PT3WA6OX5JNXCYO

not attested not anchored not stored refs pending

All finite groups are involved in the Mapping Class Group

Alan W. Reid, Gregor Masbaum

arxiv:1106.4261 v4 · 2011-06-21 · 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{GDBDWSBTQI2PT3WA6OX5JNXCYO}

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	2026-05-18T02:38:18.083696Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

30c23b48338234f9eec0f3afd4b6e2c3ad039a881ff2b1ef2bf5a8c5782c91c6

Aliases

arxiv: 1106.4261 · arxiv_version: 1106.4261v4 · doi: 10.48550/arxiv.1106.4261 · pith_short_12: GDBDWSBTQI2P · pith_short_16: GDBDWSBTQI2PT3WA · pith_short_8: GDBDWSBT

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/GDBDWSBTQI2PT3WA6OX5JNXCYO \
  | 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: 30c23b48338234f9eec0f3afd4b6e2c3ad039a881ff2b1ef2bf5a8c5782c91c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d23ef1deec26ad126722475674a1b806ef62ff3d68490de378bfc24dd4325ea",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-06-21T16:48:09Z",
    "title_canon_sha256": "e1a1d68488925fe4acbec4cc6e542b07e4c603b024202a4cb5f4708ba0a15c44"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.4261",
    "kind": "arxiv",
    "version": 4
  }
}