pith. sign in
Pith Number

pith:IEA25QHE

pith:2011:IEA25QHEVC63RJQTYGXZH4W6MY
not attested not anchored not stored refs pending

A definition of conditional probability distribution with non-stochastic information

Pier Giovanni Bissiri, Stephen G. Walker

arxiv:1102.3681 v1 · 2011-02-17 · math.PR

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{IEA25QHEVC63RJQTYGXZH4W6MY}

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 2026-05-18T04:28:28.660669Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

4101aec0e4a8bdb8a613c1af93f2de663855d5e495b81db63e7b9a23225e278f

Aliases

arxiv: 1102.3681 · arxiv_version: 1102.3681v1 · doi: 10.48550/arxiv.1102.3681 · pith_short_12: IEA25QHEVC63 · pith_short_16: IEA25QHEVC63RJQT · pith_short_8: IEA25QHE
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/IEA25QHEVC63RJQTYGXZH4W6MY \
  | 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: 4101aec0e4a8bdb8a613c1af93f2de663855d5e495b81db63e7b9a23225e278f
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "9c404482693cfc4b358e76726c9ae90fb6e4630a9771a970b654b9af9253a692",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-02-17T20:29:48Z",
    "title_canon_sha256": "a7c650481e8d3552d6b00e54e436a0d2e59670861a675a2992df34fc0bba14d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.3681",
    "kind": "arxiv",
    "version": 1
  }
}