Pith Number

pith:M3QNMV5I

pith:2009:M3QNMV5IXTHFRK2EFH57THCNIY

not attested not anchored not stored refs pending

Symmetry and composition in probabilistic theories

Alexander Wilce

arxiv:0910.1527 v2 · 2009-10-08 · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{M3QNMV5IXTHFRK2EFH57THCNIY}

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

Generalized Probability Theory: notes for a short course

Receipt and verification

First computed	2026-05-18T02:17:12.891510Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

66e0d657a8bcce58ab4429fbf99c4d461e214d464869019d966f8ef652db00fa

Aliases

arxiv: 0910.1527 · arxiv_version: 0910.1527v2 · doi: 10.48550/arxiv.0910.1527 · pith_short_12: M3QNMV5IXTHF · pith_short_16: M3QNMV5IXTHFRK2E · pith_short_8: M3QNMV5I

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/M3QNMV5IXTHFRK2EFH57THCNIY \
  | 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: 66e0d657a8bcce58ab4429fbf99c4d461e214d464869019d966f8ef652db00fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "52e8e2c450cecd5e4868da43a0af4f18ef2fe6eeab44c901bb72e55d672718b7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2009-10-08T15:14:45Z",
    "title_canon_sha256": "97d227ea4bc5d883106038eb993fbe4637b2f2a439f017326ce254693d833070"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.1527",
    "kind": "arxiv",
    "version": 2
  }
}