Pith Number

pith:QCUOC3CK

pith:2019:QCUOC3CKDRKYWPUV3V52H2TSCQ

not attested not anchored not stored refs pending

Probabilistic morphisms and Bayesian nonparametrics

H\^ong V\^an L\^e, J\"urgen Jost, Tat Dat Tran

arxiv:1905.11448 v3 · 2019-05-27 · math.ST · math.CT · math.PR · 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{QCUOC3CKDRKYWPUV3V52H2TSCQ}

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.

Cited by

1 paper in Pith

A synthetic approach to Markov kernels, conditional independence and theorems on sufficient statistics

Receipt and verification

First computed	2026-07-05T02:34:36.953596Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

80a8e16c4a1c558b3e95dd7ba3ea72140ac7ab83c792b1df4d2b45420cebc8d4

Aliases

arxiv: 1905.11448 · arxiv_version: 1905.11448v3 · doi: 10.48550/arxiv.1905.11448 · pith_short_12: QCUOC3CKDRKY · pith_short_16: QCUOC3CKDRKYWPUV · pith_short_8: QCUOC3CK

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/QCUOC3CKDRKYWPUV3V52H2TSCQ \
  | 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: 80a8e16c4a1c558b3e95dd7ba3ea72140ac7ab83c792b1df4d2b45420cebc8d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "95ae1d3291a64df9577d1fe37df6b9339dac772320396c7e27ac27d9be2ec0b9",
    "cross_cats_sorted": [
      "math.CT",
      "math.PR",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2019-05-27T18:59:05Z",
    "title_canon_sha256": "b7a0e1fba45bb0887d2017af67fa3641a8758fd6e7c76087d56fdc4c188e849f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.11448",
    "kind": "arxiv",
    "version": 3
  }
}