Pith Number

pith:Z4J5FPBD

pith:2014:Z4J5FPBDVQGHCKUWKSPKLB4T6O

not attested not anchored not stored refs pending

Generalized Two-Qubit Whole and Half Hilbert-Schmidt Separability Probabilities

Charles F. Dunkl, Paul B. Slater

arxiv:1404.1860 v6 · 2014-04-07 · 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{Z4J5FPBDVQGHCKUWKSPKLB4T6O}

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	2026-05-18T02:25:40.395788Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf13d2bc23ac0c712a96549ea58793f3b623ebe8e8a21ede1ab1600f2ff5f153

Aliases

arxiv: 1404.1860 · arxiv_version: 1404.1860v6 · doi: 10.48550/arxiv.1404.1860 · pith_short_12: Z4J5FPBDVQGH · pith_short_16: Z4J5FPBDVQGHCKUW · pith_short_8: Z4J5FPBD

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/Z4J5FPBDVQGHCKUWKSPKLB4T6O \
  | 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: cf13d2bc23ac0c712a96549ea58793f3b623ebe8e8a21ede1ab1600f2ff5f153

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "233d8ae40cd963a28739019666e50fb89834847d2096d109be64b5c7f98d9d12",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2014-04-07T17:50:59Z",
    "title_canon_sha256": "891bbae7de650ecacf7455c3a192a1bdff785c94435b32753b0150854e291074"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.1860",
    "kind": "arxiv",
    "version": 6
  }
}