Pith Number

pith:7JFVZ7PW

pith:2011:7JFVZ7PWJFBQFNNZXYZW4XBJAC

not attested not anchored not stored refs pending

Entanglement or separability: The choice of how to factorize the algebra of a density matrix

Heide Narnhofer, Philipp K\"ohler, Reinhold A. Bertlmann, Walter Thirring

arxiv:1106.3047 v2 · 2011-06-15 · 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{7JFVZ7PWJFBQFNNZXYZW4XBJAC}

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	2026-05-18T04:08:24.118201Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa4b5cfdf6494302b5b9be336e5c2900932d588900690b931e42e2e1a0a536a5

Aliases

arxiv: 1106.3047 · arxiv_version: 1106.3047v2 · doi: 10.48550/arxiv.1106.3047 · pith_short_12: 7JFVZ7PWJFBQ · pith_short_16: 7JFVZ7PWJFBQFNNZ · pith_short_8: 7JFVZ7PW

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/7JFVZ7PWJFBQFNNZXYZW4XBJAC \
  | 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: fa4b5cfdf6494302b5b9be336e5c2900932d588900690b931e42e2e1a0a536a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9006831cd3a4e4a23499e10ba9d284ebf71f9df7b76dc650630f23b7eca143ec",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2011-06-15T18:32:06Z",
    "title_canon_sha256": "3e892ddb54811b6ff5835a7593f41e9906baad8d936801791ad8b3b3c86bc462"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.3047",
    "kind": "arxiv",
    "version": 2
  }
}