Pith Number

pith:YGL42WJZ

pith:2012:YGL42WJZ3JRBNXZUWI5HMMO35K

not attested not anchored not stored refs pending

Minimal generating and normally generating sets for the braid and mapping class groups of the disc, the sphere and the projective plane

Daciberg Lima Gon\c{c}alves (IME), John Guaschi (LMNO)

arxiv:1201.6482 v1 · 2012-01-31 · math.GT · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YGL42WJZ3JRBNXZUWI5HMMO35K}

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	2026-05-18T02:48:18.021133Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c197cd5939da6216df34b23a7631dbeab54a5272ff318c2a60b002597e399553

Aliases

arxiv: 1201.6482 · arxiv_version: 1201.6482v1 · doi: 10.48550/arxiv.1201.6482 · pith_short_12: YGL42WJZ3JRB · pith_short_16: YGL42WJZ3JRBNXZU · pith_short_8: YGL42WJZ

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/YGL42WJZ3JRBNXZUWI5HMMO35K \
  | 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: c197cd5939da6216df34b23a7631dbeab54a5272ff318c2a60b002597e399553

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "44b22557e9014f5410d85a3a10d7c6184e9b0d438c83f83325f550e048a66bd9",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-01-31T09:17:54Z",
    "title_canon_sha256": "280b735fef3f84254b5109774863540cf96dc87637fa26f1af2ccc880abf680f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.6482",
    "kind": "arxiv",
    "version": 1
  }
}