Pith Number

pith:Z2NUOIFX

pith:2001:Z2NUOIFX3DQA4YHBIWV2TVR26N

not attested not anchored not stored refs pending

A note on the Lawrence-Krammer-Bigelow representation

Luisa Paoluzzi, Luis Paris

arxiv:math/0111186 v3 · 2001-11-16 · 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{Z2NUOIFX3DQA4YHBIWV2TVR26N}

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	2026-05-18T02:41:33.180474Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce9b4720b7d8e00e60e145aba9d63af378b148844e983bfd2aba21b9760df5f3

Aliases

arxiv: math/0111186 · arxiv_version: math/0111186v3 · doi: 10.48550/arxiv.math/0111186 · pith_short_12: Z2NUOIFX3DQA · pith_short_16: Z2NUOIFX3DQA4YHB · pith_short_8: Z2NUOIFX

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/Z2NUOIFX3DQA4YHBIWV2TVR26N \
  | 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: ce9b4720b7d8e00e60e145aba9d63af378b148844e983bfd2aba21b9760df5f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a61fae46bba3f74767956406c08ca1a94637404c07d6428c43bcde9f9c08779b",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2001-11-16T13:49:38Z",
    "title_canon_sha256": "6d57d66cae60bbc3f65df7fc9b255b70d9514a1def212bf2420fedc6079bb299"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0111186",
    "kind": "arxiv",
    "version": 3
  }
}