Pith Number

pith:J4E7Y7VC

pith:2006:J4E7Y7VCKYAURBVDHDLGHLOYN7

not attested not anchored not stored refs pending

Finite Abelian Subgroups of the Mapping Class Group

A. Wootton, S. Allen Broughton

arxiv:math/0611650 v1 · 2006-11-21 · math.AT · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{J4E7Y7VCKYAURBVDHDLGHLOYN7}

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	2026-05-18T02:41:26.683563Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f09fc7ea256014886a338d663add86fc20f7aea46a5cbf7edc72580575630f4

Aliases

arxiv: math/0611650 · arxiv_version: math/0611650v1 · doi: 10.48550/arxiv.math/0611650 · pith_short_12: J4E7Y7VCKYAU · pith_short_16: J4E7Y7VCKYAURBVD · pith_short_8: J4E7Y7VC

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/J4E7Y7VCKYAURBVDHDLGHLOYN7 \
  | 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: 4f09fc7ea256014886a338d663add86fc20f7aea46a5cbf7edc72580575630f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d1fa20bdbbdb96f2e3a80a1e8dae82975a2d0153c50796a4d9ca1b4640cd032e",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "",
    "primary_cat": "math.AT",
    "submitted_at": "2006-11-21T17:24:43Z",
    "title_canon_sha256": "22eee05be577317c7dbdc6ac329854024505a6333139386a9f98509a7863f699"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0611650",
    "kind": "arxiv",
    "version": 1
  }
}