Pith Number

pith:KAUNKAUT

pith:2013:KAUNKAUT2OLZOYXKLLHZ4AG5N4

not attested not anchored not stored refs pending

Exchangeable stochastic processes and symmetric states in quantum probability

Francesco Fidaleo, Vito Crismale

arxiv:1310.1566 v1 · 2013-10-06 · math.PR · 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{KAUNKAUT2OLZOYXKLLHZ4AG5N4}

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	2026-05-18T03:11:11.509461Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5028d50293d3979762ea5acf9e00dd6f1ce72268e9873246ec5e04418ec3c9d7

Aliases

arxiv: 1310.1566 · arxiv_version: 1310.1566v1 · doi: 10.48550/arxiv.1310.1566 · pith_short_12: KAUNKAUT2OLZ · pith_short_16: KAUNKAUT2OLZOYXK · pith_short_8: KAUNKAUT

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/KAUNKAUT2OLZOYXKLLHZ4AG5N4 \
  | 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: 5028d50293d3979762ea5acf9e00dd6f1ce72268e9873246ec5e04418ec3c9d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c2fc9f682d861caa21fcd778077baf554dfaa86d013d585dc19778e78eacb99",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-10-06T09:53:36Z",
    "title_canon_sha256": "46853648ed2177c269165d2f1d75ead48fab9fbd9217f105f21c159b169d9afc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.1566",
    "kind": "arxiv",
    "version": 1
  }
}