Pith Number

pith:5HMZ6PGS

pith:1999:5HMZ6PGS6H5XVBAJZSBK4YDCD2

not attested not anchored not stored refs pending

On the Toeplitz algebras of right-angled and finite-type Artin groups

Australia), France), John Crisp (Dijon, Marcelo Laca (Newcastle

arxiv:math/9907026 v2 · 1999-07-06 · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5HMZ6PGS6H5XVBAJZSBK4YDCD2}

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	2026-05-18T01:05:32.863717Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9d99f3cd2f1fb7a8409cc82ae60621ebf787634401120ff2866fa0e4021ede5

Aliases

arxiv: math/9907026 · arxiv_version: math/9907026v2 · doi: 10.48550/arxiv.math/9907026 · pith_short_12: 5HMZ6PGS6H5X · pith_short_16: 5HMZ6PGS6H5XVBAJ · pith_short_8: 5HMZ6PGS

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/5HMZ6PGS6H5XVBAJZSBK4YDCD2 \
  | 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: e9d99f3cd2f1fb7a8409cc82ae60621ebf787634401120ff2866fa0e4021ede5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "52ee15b1ae4b73248a54c57e5cbf78bb683377ed237165f329b86972be948a6e",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.OA",
    "submitted_at": "1999-07-06T00:55:32Z",
    "title_canon_sha256": "f8590272f5e2717ea0cab9456bb6991c563564770f8370a6c6a2820a4831089c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9907026",
    "kind": "arxiv",
    "version": 2
  }
}