Pith Number

pith:A3FS4OLL

pith:2018:A3FS4OLLOAG4AQ4DE7QHW3XATV

not attested not anchored not stored refs pending

Bimonoidal Structure of Probability Monads

Paolo Perrone, Tobias Fritz

arxiv:1804.03527 v4 · 2018-04-10 · math.PR · cs.LO · math.CT · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{A3FS4OLLOAG4AQ4DE7QHW3XATV}

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	2026-07-05T00:37:25.717020Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

06cb2e396b700dc0438327e07b6ee09d7988e08c975add05a4bc238c2d458561

Aliases

arxiv: 1804.03527 · arxiv_version: 1804.03527v4 · doi: 10.48550/arxiv.1804.03527 · pith_short_12: A3FS4OLLOAG4 · pith_short_16: A3FS4OLLOAG4AQ4D · pith_short_8: A3FS4OLL

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/A3FS4OLLOAG4AQ4DE7QHW3XATV \
  | 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: 06cb2e396b700dc0438327e07b6ee09d7988e08c975add05a4bc238c2d458561

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d15fcf93980ac84a5490259fa296375d7da5f4d55c1234cb3fc3a1768170f7f",
    "cross_cats_sorted": [
      "cs.LO",
      "math.CT",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-04-10T13:43:01Z",
    "title_canon_sha256": "9c92c9ce59def27e39e7b22a6a56c18f397bf81218d473e069d34d3e54539c5c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.03527",
    "kind": "arxiv",
    "version": 4
  }
}