Pith Number

pith:LCH4MF6E

pith:2012:LCH4MF6ERK7E6YMLKDEQGOCJAU

not attested not anchored not stored refs pending

Tail algebras of quantum exchangeable random variables

Claus K\"ostler, Kenneth J. Dykema

arxiv:1202.4749 v2 · 2012-02-21 · 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{LCH4MF6ERK7E6YMLKDEQGOCJAU}

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	2026-05-18T03:38:43.904329Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

588fc617c48abe4f618b50c9033849053be38d2475a97b8b811ac3aeda5a947f

Aliases

arxiv: 1202.4749 · arxiv_version: 1202.4749v2 · doi: 10.48550/arxiv.1202.4749 · pith_short_12: LCH4MF6ERK7E · pith_short_16: LCH4MF6ERK7E6YML · pith_short_8: LCH4MF6E

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/LCH4MF6ERK7E6YMLKDEQGOCJAU \
  | 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: 588fc617c48abe4f618b50c9033849053be38d2475a97b8b811ac3aeda5a947f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8905fa4a6b974eb73d6a399c505f324335e969f3f139bfd076a881f99b6b4bc4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2012-02-21T20:53:29Z",
    "title_canon_sha256": "8a9fc699e12d4b5ca54bae15cad969b83d8bb4a3bebd28a62de683285d7d4a12"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.4749",
    "kind": "arxiv",
    "version": 2
  }
}