Pith Number

pith:TGXNKH72

pith:2013:TGXNKH72MWOC7ERKBM4PAHNL62

not attested not anchored not stored refs pending

Countable Partially Exchangeable Mixtures

Cecilia Prosdocimi, Lorenzo Finesso

arxiv:1306.5631 v2 · 2013-06-24 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TGXNKH72MWOC7ERKBM4PAHNL62}

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	2026-05-18T01:58:27.456621Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

99aed51ffa659c2f922a0b38f01dabf6b005cdc79e145294a6fbf2689d67da6a

Aliases

arxiv: 1306.5631 · arxiv_version: 1306.5631v2 · doi: 10.48550/arxiv.1306.5631 · pith_short_12: TGXNKH72MWOC · pith_short_16: TGXNKH72MWOC7ERK · pith_short_8: TGXNKH72

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/TGXNKH72MWOC7ERKBM4PAHNL62 \
  | 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: 99aed51ffa659c2f922a0b38f01dabf6b005cdc79e145294a6fbf2689d67da6a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f8a0d9d177c96c7b4577a6b3fa4d78a39cb345a648bae128d66d0dc4a9291f77",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-06-24T14:00:33Z",
    "title_canon_sha256": "6bff2e7ff0d053d04328de3a0ea67be070d1f4e1de35ee259c4a971e6e5cee4a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.5631",
    "kind": "arxiv",
    "version": 2
  }
}