Pith Number

pith:QIYTQHAG

pith:2006:QIYTQHAGTLVZNCOJ5E3L32KFUO

not attested not anchored not stored refs pending

Quantum Probability Theory

Miklos Redei, Stephen J. Summers

arxiv:quant-ph/0601158 v3 · 2006-01-23 · quant-ph · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QIYTQHAGTLVZNCOJ5E3L32KFUO}

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	2026-07-04T14:52:57.884802Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8231381c069aeb9689c9e936bde945a3a59c0392e369cd0d1276324965f690ab

Aliases

arxiv: quant-ph/0601158 · arxiv_version: quant-ph/0601158v3 · doi: 10.48550/arxiv.quant-ph/0601158 · pith_short_12: QIYTQHAGTLVZ · pith_short_16: QIYTQHAGTLVZNCOJ · pith_short_8: QIYTQHAG

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/QIYTQHAGTLVZNCOJ5E3L32KFUO \
  | 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: 8231381c069aeb9689c9e936bde945a3a59c0392e369cd0d1276324965f690ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4bb8802d4e22e7d2edd037085a169953bf7532a1ba804c2f74fee71eb8eabcc3",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2006-01-23T18:56:45Z",
    "title_canon_sha256": "b389e7f6bc30f0db3c56b0351ed7388f3297757f86d7488d4c91ce5cc54d6634"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0601158",
    "kind": "arxiv",
    "version": 3
  }
}