Pith Number

pith:MQZ74MZY

pith:2007:MQZ74MZYZV7KZDNHDHIQWGO4FN

not attested not anchored not stored refs pending

Strong Singularity for Subfactors

Alan Wiggins, Pinhas Grossman

arxiv:math/0703673 v3 · 2007-03-22 · 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{MQZ74MZYZV7KZDNHDHIQWGO4FN}

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	2026-05-18T02:57:45.190379Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6433fe3338cd7eac8da719d10b19dc2b41ec2c7f0782ec7c310e34934ff73809

Aliases

arxiv: math/0703673 · arxiv_version: math/0703673v3 · doi: 10.48550/arxiv.math/0703673 · pith_short_12: MQZ74MZYZV7K · pith_short_16: MQZ74MZYZV7KZDNH · pith_short_8: MQZ74MZY

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/MQZ74MZYZV7KZDNHDHIQWGO4FN \
  | 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: 6433fe3338cd7eac8da719d10b19dc2b41ec2c7f0782ec7c310e34934ff73809

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d1b3771590db748449a12e473795ce04d6b6cb29e1067c450c2735331094e1bd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2007-03-22T17:14:34Z",
    "title_canon_sha256": "7943f17f81190b14101ab162099562fe2c270ff16d2bd07c28a27aeb6d2820d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0703673",
    "kind": "arxiv",
    "version": 3
  }
}