Pith Number

pith:VYM3XSMG

pith:2000:VYM3XSMGVAAGPCKGKFJWTDPJYR

not attested not anchored not stored refs pending

On generalized probabilities: correlation polytopes for automaton logic and generalized urn models, extensions of quantum mechanics and parameter cheats

Karl Svozil

arxiv:quant-ph/0012066 v3 · 2000-12-14 · 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{VYM3XSMGVAAGPCKGKFJWTDPJYR}

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	2026-07-04T14:45:34.081688Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae19bbc986a8006789465153698de9c46f0a9b051e92c627cec8bd77ceed0d18

Aliases

arxiv: quant-ph/0012066 · arxiv_version: quant-ph/0012066v3 · doi: 10.48550/arxiv.quant-ph/0012066 · pith_short_12: VYM3XSMGVAAG · pith_short_16: VYM3XSMGVAAGPCKG · pith_short_8: VYM3XSMG

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/VYM3XSMGVAAGPCKGKFJWTDPJYR \
  | 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: ae19bbc986a8006789465153698de9c46f0a9b051e92c627cec8bd77ceed0d18

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e456e19aa8a7fafb1d83dd057e1395870db03d783e1a14bf69f74743c05ef11",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2000-12-14T10:23:36Z",
    "title_canon_sha256": "5d8d00a045c4938d2ab7f32dcf730d02c26747bcdb704662968a6a6f7d4be5c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0012066",
    "kind": "arxiv",
    "version": 3
  }
}