Pith Number

pith:26RQSOXJ

pith:2012:26RQSOXJJ2RPSYIIV5T2C6NDB3

not attested not anchored not stored refs pending

A mean ergodic theorem in von-Neumann algebras

Anilesh Mohari

arxiv:1211.3903 v2 · 2012-11-16 · math.OA · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{26RQSOXJJ2RPSYIIV5T2C6NDB3}

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	2026-05-18T03:09:22.652913Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d7a3093ae94ea2f96108af67a179a30efc9a7eefa3c2aadd5c6e1f54a92c3f86

Aliases

arxiv: 1211.3903 · arxiv_version: 1211.3903v2 · doi: 10.48550/arxiv.1211.3903 · pith_short_12: 26RQSOXJJ2RP · pith_short_16: 26RQSOXJJ2RPSYII · pith_short_8: 26RQSOXJ

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/26RQSOXJJ2RPSYIIV5T2C6NDB3 \
  | 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: d7a3093ae94ea2f96108af67a179a30efc9a7eefa3c2aadd5c6e1f54a92c3f86

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f9b1747a9560e90c47abeed39eea13e57aab1b60403209526c57f6eda0bd2c1",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2012-11-16T14:39:29Z",
    "title_canon_sha256": "4eea37c51ea3f80213538b96b2314d72e67c1260ce865d9d3b8dcee55e74e830"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.3903",
    "kind": "arxiv",
    "version": 2
  }
}