Pith Number

pith:67GB7HNG

pith:2013:67GB7HNGI4DX33S4TUF3DVVVGA

not attested not anchored not stored refs pending

The BNS-invariant for the pure braid groups

John Meier, Jon McCammond, Nic Koban

arxiv:1306.4046 v1 · 2013-06-18 · 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{67GB7HNGI4DX33S4TUF3DVVVGA}

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	2026-05-18T03:20:44.553375Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f7cc1f9da647077dee5c9d0bb1d6b530135fd26626717ae0d5779645156a7ff2

Aliases

arxiv: 1306.4046 · arxiv_version: 1306.4046v1 · doi: 10.48550/arxiv.1306.4046 · pith_short_12: 67GB7HNGI4DX · pith_short_16: 67GB7HNGI4DX33S4 · pith_short_8: 67GB7HNG

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/67GB7HNGI4DX33S4TUF3DVVVGA \
  | 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: f7cc1f9da647077dee5c9d0bb1d6b530135fd26626717ae0d5779645156a7ff2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c656ba04f85a2e173f829d50b5a7fda58cde8b280a2b158c17de74b3ea5bbea9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-06-18T00:11:38Z",
    "title_canon_sha256": "264dc4fcc0f18f19a18a9a5aa1a4a6c2167ba6db4c2b471a078e50ad954c0e01"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.4046",
    "kind": "arxiv",
    "version": 1
  }
}