Pith Number

pith:P42CZQZ2

pith:2014:P42CZQZ2UY7V6OVCEIQRJAVZ2Z

not attested not anchored not stored refs pending

Formulas for Rational-Valued Separability Probabilities of Random Induced Generalized Two-Qubit States

Charles F. Dunkl, Paul B. Slater

arxiv:1411.2561 v3 · 2014-11-10 · quant-ph · math-ph · math.MP · 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{P42CZQZ2UY7V6OVCEIQRJAVZ2Z}

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	2026-05-18T02:00:58.746686Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f342cc33aa63f5f3aa222211482b9d661a9817cc2c3183cca3e77ef629a61b8

Aliases

arxiv: 1411.2561 · arxiv_version: 1411.2561v3 · doi: 10.48550/arxiv.1411.2561 · pith_short_12: P42CZQZ2UY7V · pith_short_16: P42CZQZ2UY7V6OVC · pith_short_8: P42CZQZ2

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/P42CZQZ2UY7V6OVCEIQRJAVZ2Z \
  | 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: 7f342cc33aa63f5f3aa222211482b9d661a9817cc2c3183cca3e77ef629a61b8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd33b8af8a81aaf8b241ee91905c1011f3fe2e96238a0d5514a3637a8901d2cf",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2014-11-10T20:08:20Z",
    "title_canon_sha256": "baa49b9ef707eb8252031e94366a6d114262e87fdcf84d26e51c7b352043a6f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.2561",
    "kind": "arxiv",
    "version": 3
  }
}