Pith Number

pith:4TS2RCMQ

pith:2012:4TS2RCMQQGMLNUN4YDBA5W5FMO

not attested not anchored not stored refs pending

A categorical foundation for Bayesian probability

Jared Culbertson, Kirk Sturtz

arxiv:1205.1488 v3 · 2012-05-07 · math.CT · 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{4TS2RCMQQGMLNUN4YDBA5W5FMO}

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	2026-05-18T00:08:05.587350Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4e5a889908198b6d1bcc0c20edba563ba006d0309fd470774d0c23972787b99

Aliases

arxiv: 1205.1488 · arxiv_version: 1205.1488v3 · doi: 10.48550/arxiv.1205.1488 · pith_short_12: 4TS2RCMQQGML · pith_short_16: 4TS2RCMQQGMLNUN4 · pith_short_8: 4TS2RCMQ

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/4TS2RCMQQGMLNUN4YDBA5W5FMO \
  | 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: e4e5a889908198b6d1bcc0c20edba563ba006d0309fd470774d0c23972787b99

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "440a4a505950916641d6a38dde6cb9f3fa10f68a468316a365f20509d48fa205",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/publicdomain/",
    "primary_cat": "math.CT",
    "submitted_at": "2012-05-07T19:35:39Z",
    "title_canon_sha256": "99bfebfe4d14340744e189154415f822db29f252d6fb7aa5eecab2bbc828d64e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.1488",
    "kind": "arxiv",
    "version": 3
  }
}