Pith Number

pith:ZS4LEWCL

pith:2019:ZS4LEWCLRGZMTWQ7UFVNLNINFO

not attested not anchored not stored refs pending

A characterisation of ordered abstract probabilities

Abraham Westerbaan, Bas Westerbaan, John van de Wetering

arxiv:1912.10040 v2 · 2019-12-20 · math.LO · cs.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZS4LEWCLRGZMTWQ7UFVNLNINFO}

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	2026-07-05T01:20:14.188249Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ccb8b2584b89b2c9da1fa16ad5b50d2bb935a1c73cf688040798f9defbefd5ec

Aliases

arxiv: 1912.10040 · arxiv_version: 1912.10040v2 · doi: 10.48550/arxiv.1912.10040 · pith_short_12: ZS4LEWCLRGZM · pith_short_16: ZS4LEWCLRGZMTWQ7 · pith_short_8: ZS4LEWCL

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/ZS4LEWCLRGZMTWQ7UFVNLNINFO \
  | 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: ccb8b2584b89b2c9da1fa16ad5b50d2bb935a1c73cf688040798f9defbefd5ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d526411156b6cdef82117055fbaefe1ffc4ff88040f64a358a8e2a9b79c3b5c",
    "cross_cats_sorted": [
      "cs.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2019-12-20T15:21:41Z",
    "title_canon_sha256": "148855ac0a14f6e4a961fed7c2a126b10bdfbbb5d0fcf22b54b6d53262de6743"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1912.10040",
    "kind": "arxiv",
    "version": 2
  }
}