Pith Number

pith:NS7NPEEM

pith:2016:NS7NPEEMQNNTCCBU5DN6MYQCTN

not attested not anchored not stored refs pending

Formulas for Generalized Two-Qubit Separability Probabilities

Paul B. Slater

arxiv:1609.08561 v3 · 2016-09-27 · 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{NS7NPEEMQNNTCCBU5DN6MYQCTN}

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	2026-05-18T00:15:00.192336Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6cbed7908c835b310834e8dbe662029b45f01d0d0d5aab1329b55673a100da4b

Aliases

arxiv: 1609.08561 · arxiv_version: 1609.08561v3 · doi: 10.48550/arxiv.1609.08561 · pith_short_12: NS7NPEEMQNNT · pith_short_16: NS7NPEEMQNNTCCBU · pith_short_8: NS7NPEEM

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/NS7NPEEMQNNTCCBU5DN6MYQCTN \
  | 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: 6cbed7908c835b310834e8dbe662029b45f01d0d0d5aab1329b55673a100da4b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "559cb1e2ed7e00998d91c6afd0b669ff8bd15bb17f0f88c04cc2c8084f0c3239",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2016-09-27T18:15:09Z",
    "title_canon_sha256": "9d109bafe4a71ca378ac3725e6575c93eda4784c525543f657d8ad80f3bef2e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.08561",
    "kind": "arxiv",
    "version": 3
  }
}