Pith Number

pith:P4YHZO7U

pith:2010:P4YHZO7UDDAXGOEBU7EKLCEIOT

not attested not anchored not stored refs pending

An attempt at reading Keynes' Treatise on Probability

Christian P. Robert

arxiv:1003.5544 v3 · 2010-03-29 · math.ST · math.HO · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P4YHZO7UDDAXGOEBU7EKLCEIOT}

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	2026-05-18T04:39:16.615000Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f307cbbf418c1733881a7c8a5888874eb99da471d40578e4896bf2ff7c74010

Aliases

arxiv: 1003.5544 · arxiv_version: 1003.5544v3 · doi: 10.48550/arxiv.1003.5544 · pith_short_12: P4YHZO7UDDAX · pith_short_16: P4YHZO7UDDAXGOEB · pith_short_8: P4YHZO7U

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/P4YHZO7UDDAXGOEBU7EKLCEIOT \
  | 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: 7f307cbbf418c1733881a7c8a5888874eb99da471d40578e4896bf2ff7c74010

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "acb01ea02ab707aebb16a78380fa6ba99682023177673289d24130970d5967db",
    "cross_cats_sorted": [
      "math.HO",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2010-03-29T14:08:11Z",
    "title_canon_sha256": "ab5ffc44ea3315e1b1c5cb821a75a60c54d1312b490631ef7cdd707c1718c396"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.5544",
    "kind": "arxiv",
    "version": 3
  }
}