Pith Number

pith:5BD4WLOW

pith:2007:5BD4WLOWS63QAYDP4ZDUFSMGHR

not attested not anchored not stored refs pending

The center of some braid groups and the Farrell cohomology of certain pure mapping class groups

Craig A. Jensen, Henry H. Glover, Yu Qing Chen

arxiv:0712.3334 v1 · 2007-12-20 · math.AT · 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{5BD4WLOWS63QAYDP4ZDUFSMGHR}

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	2026-05-18T02:41:51.852846Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e847cb2dd697b700606fe64742c9863c5019414979985685cfb4ee9678e433bb

Aliases

arxiv: 0712.3334 · arxiv_version: 0712.3334v1 · doi: 10.48550/arxiv.0712.3334 · pith_short_12: 5BD4WLOWS63Q · pith_short_16: 5BD4WLOWS63QAYDP · pith_short_8: 5BD4WLOW

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/5BD4WLOWS63QAYDP4ZDUFSMGHR \
  | 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: e847cb2dd697b700606fe64742c9863c5019414979985685cfb4ee9678e433bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f0649fd02ecbfaab48d6f490ea6080c69befdb110a0a9a1f3e175319fe0e96be",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "",
    "primary_cat": "math.AT",
    "submitted_at": "2007-12-20T06:46:38Z",
    "title_canon_sha256": "bacbf78189d57223df79230c9a011b62186f3557fd0c6dd00cc6c73dfe385295"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0712.3334",
    "kind": "arxiv",
    "version": 1
  }
}