Pith Number

pith:VUM52FUC

pith:2013:VUM52FUCTMERVBTKTCPGXR6NT2

not attested not anchored not stored refs pending

Entanglement witnesses for a class of bipartite states of n x n qubits

Fabio Benatti, Mahya Karbalaii

arxiv:1301.3442 v1 · 2013-01-15 · math-ph · math.MP · quant-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VUM52FUCTMERVBTKTCPGXR6NT2}

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	2026-05-18T03:36:25.599995Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad19dd16829b091a866a989e6bc7cd9e8d12a542be859470e5cf946264c5a9ad

Aliases

arxiv: 1301.3442 · arxiv_version: 1301.3442v1 · doi: 10.48550/arxiv.1301.3442 · pith_short_12: VUM52FUCTMER · pith_short_16: VUM52FUCTMERVBTK · pith_short_8: VUM52FUC

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/VUM52FUCTMERVBTKTCPGXR6NT2 \
  | 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: ad19dd16829b091a866a989e6bc7cd9e8d12a542be859470e5cf946264c5a9ad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0105ee065e39d0be573a445c5434f9ae15247c2bca05d13cfef0120c3860bf10",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-01-15T18:23:20Z",
    "title_canon_sha256": "378bf67fc32efacaf807f0fa74f1f1eca948f97db84705bdd6056d9bdb241777"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.3442",
    "kind": "arxiv",
    "version": 1
  }
}