Pith Number

pith:F5CQIUOR

pith:2012:F5CQIUORGGHIYQRUAMVFK2FIAC

not attested not anchored not stored refs pending

Type III factors with unique Cartan decomposition

Cyril Houdayer, Stefaan Vaes

arxiv:1203.1254 v2 · 2012-03-06 · math.OA · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{F5CQIUORGGHIYQRUAMVFK2FIAC}

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	2026-05-18T03:12:48.623626Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f450451d1318e8c4234032a5568a800bd1e991838d71b01c3a6b604b3b95a5e

Aliases

arxiv: 1203.1254 · arxiv_version: 1203.1254v2 · doi: 10.48550/arxiv.1203.1254 · pith_short_12: F5CQIUORGGHI · pith_short_16: F5CQIUORGGHIYQRU · pith_short_8: F5CQIUOR

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/F5CQIUORGGHIYQRUAMVFK2FIAC \
  | 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: 2f450451d1318e8c4234032a5568a800bd1e991838d71b01c3a6b604b3b95a5e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "65b0b22fcde31967941315179653868a55a269abd6b5d4d674b50b8f381fb8a4",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2012-03-06T17:04:16Z",
    "title_canon_sha256": "67383d92988c2cb480d51d381979cf60d3e3baf545c7b0497380f707b27cad55"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.1254",
    "kind": "arxiv",
    "version": 2
  }
}