Pith Number

pith:KFTX2W5Y

pith:2013:KFTX2W5YU6Z74EZ2BS66HCVNVV

not attested not anchored not stored refs pending

A Concise Formula for Generalized Two-Qubit Hilbert-Schmidt Separability Probabilities

Paul B. Slater

arxiv:1301.6617 v4 · 2013-01-28 · 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{KFTX2W5YU6Z74EZ2BS66HCVNVV}

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	2026-05-18T03:09:33.884901Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

51677d5bb8a7b3fe133a0cbde38aadad6c4427eb57cd99df41c542b13aece7c8

Aliases

arxiv: 1301.6617 · arxiv_version: 1301.6617v4 · doi: 10.48550/arxiv.1301.6617 · pith_short_12: KFTX2W5YU6Z7 · pith_short_16: KFTX2W5YU6Z74EZ2 · pith_short_8: KFTX2W5Y

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/KFTX2W5YU6Z74EZ2BS66HCVNVV \
  | 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: 51677d5bb8a7b3fe133a0cbde38aadad6c4427eb57cd99df41c542b13aece7c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ce11b616317767ecb8282dc1b164255e617154c0c6d36c29dac616d3105f3da",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2013-01-28T17:23:17Z",
    "title_canon_sha256": "66eae27ca43c27d26a30b7ef1fb5cf7f6d97b702eef9a319fe9de750ebda90b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.6617",
    "kind": "arxiv",
    "version": 4
  }
}