Pith Number

pith:VLUAXHSK

pith:2015:VLUAXHSK5HEV3JYEAPAO2JCPOV

not attested not anchored not stored refs pending

Separability Probability Formulas and Their Proofs for Generalized Two-Qubit X-Matrices Endowed with Hilbert-Schmidt and Induced Measures

Charles F. Dunkl, Paul B. Slater

arxiv:1501.02289 v2 · 2015-01-09 · 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{VLUAXHSK5HEV3JYEAPAO2JCPOV}

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	2026-05-18T01:27:46.369965Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aae80b9e4ae9c95da70403c0ed244f756406aeeb0c20f84e942713181b5703bb

Aliases

arxiv: 1501.02289 · arxiv_version: 1501.02289v2 · doi: 10.48550/arxiv.1501.02289 · pith_short_12: VLUAXHSK5HEV · pith_short_16: VLUAXHSK5HEV3JYE · pith_short_8: VLUAXHSK

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/VLUAXHSK5HEV3JYEAPAO2JCPOV \
  | 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: aae80b9e4ae9c95da70403c0ed244f756406aeeb0c20f84e942713181b5703bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "77d60cfae638a6c42b80b3ff6add816f8099fa5e403801261167e05b4734fd61",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2015-01-09T23:02:21Z",
    "title_canon_sha256": "ea5e94f7c66e8992b7ed06afdca196254358a5383795f58912f656daa4b87c86"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.02289",
    "kind": "arxiv",
    "version": 2
  }
}