Pith Number

pith:ARN7E7VT

pith:2023:ARN7E7VTVRFH5PRRQWINRBGCYJ

not attested not anchored not stored refs pending

Ergodic states on type III$_1$ factors and ergodic actions

Amine Marrakchi, Stefaan Vaes

arxiv:2305.14217 v3 · 2023-05-23 · 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{ARN7E7VTVRFH5PRRQWINRBGCYJ}

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.

Cited by

1 paper in Pith

Ergodicity of the bicentralizer flow and Kadison's problem

Receipt and verification

First computed	2026-07-05T09:22:36.623328Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

045bf27eb3ac4a7ebe318590d884c2c27ea4cb9aa9c0ba36977e816bc47aee4a

Aliases

arxiv: 2305.14217 · arxiv_version: 2305.14217v3 · doi: 10.48550/arxiv.2305.14217 · pith_short_12: ARN7E7VTVRFH · pith_short_16: ARN7E7VTVRFH5PRR · pith_short_8: ARN7E7VT

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/ARN7E7VTVRFH5PRRQWINRBGCYJ \
  | 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: 045bf27eb3ac4a7ebe318590d884c2c27ea4cb9aa9c0ba36977e816bc47aee4a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "948b82cc306d4ae3d1babb2a0146d8a75f1d35ac725cced1bc2f282165ca069d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2023-05-23T16:33:55Z",
    "title_canon_sha256": "04a4b01be35b06eece77abc3956eca89c7752a8cf7f70091e23e4426f39c46e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2305.14217",
    "kind": "arxiv",
    "version": 3
  }
}