Pith Number

pith:VQB4YDP6

pith:2017:VQB4YDP6J4ZBULBEG5UMDHPTWJ

not attested not anchored not stored refs pending

The symmetrical foundation of Measure, Probability and Quantum theories

John Skilling, Kevin H. Knuth

arxiv:1712.09725 v3 · 2017-12-24 · quant-ph · 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{VQB4YDP6J4ZBULBEG5UMDHPTWJ}

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	2026-05-18T00:06:44.738603Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac03cc0dfe4f321a2c243768c19df3b27ed7cba5a8c0f5d635da77bcdb160c68

Aliases

arxiv: 1712.09725 · arxiv_version: 1712.09725v3 · doi: 10.48550/arxiv.1712.09725 · pith_short_12: VQB4YDP6J4ZB · pith_short_16: VQB4YDP6J4ZBULBE · pith_short_8: VQB4YDP6

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/VQB4YDP6J4ZBULBEG5UMDHPTWJ \
  | 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: ac03cc0dfe4f321a2c243768c19df3b27ed7cba5a8c0f5d635da77bcdb160c68

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0a5875e2b17c8ac1af9c6ed6b5c1a893fb27f3b825c5a8f99706c07eb5df6c61",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2017-12-24T18:07:12Z",
    "title_canon_sha256": "5f07737d1907c013e4678362ed8d5b917697e4b17f8b9fa8f1d5b11acb68d623"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.09725",
    "kind": "arxiv",
    "version": 3
  }
}