Pith Number

pith:2ZM2QAB3

pith:2019:2ZM2QAB3LZMLIFN4RDABKNPMAN

not attested not anchored not stored refs pending

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

Tobias Fritz

arxiv:1908.07021 v8 · 2019-08-19 · math.ST · cs.LO · 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{2ZM2QAB3LZMLIFN4RDABKNPMAN}

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

Finite Observations, Infinite Behaviour: bicategorical semantics for stateful monoidal processes

Receipt and verification

First computed	2026-07-05T01:06:49.114916Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d659a8003b5e58b415bc88c01535ec034d1f6ae09473166e11b2820099e239c9

Aliases

arxiv: 1908.07021 · arxiv_version: 1908.07021v8 · doi: 10.48550/arxiv.1908.07021 · pith_short_12: 2ZM2QAB3LZML · pith_short_16: 2ZM2QAB3LZMLIFN4 · pith_short_8: 2ZM2QAB3

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/2ZM2QAB3LZMLIFN4RDABKNPMAN \
  | 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: d659a8003b5e58b415bc88c01535ec034d1f6ae09473166e11b2820099e239c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d9f0d701240b6ed5e6ffb2d2de4d061446af6b789d65c934939b0714b1b6fdc",
    "cross_cats_sorted": [
      "cs.LO",
      "math.CT",
      "math.PR",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2019-08-19T18:54:09Z",
    "title_canon_sha256": "0fcbad351c9fd9bf0e192f5cdf2c8f5bd6bbb69bb25d1439053d89436d54aa20"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.07021",
    "kind": "arxiv",
    "version": 8
  }
}