Pith Number

pith:PDCCLTUR

pith:2003:PDCCLTUROUKDZCMONFRT5G3MXO

not attested not anchored not stored refs pending

Canonical Form and Separability of PPT States in 2x2x2xN Composite Quantum Systems

Ke Wu, S.M. Fei, X.H. Gao, X.H. Wang, Z.X. Wang

arxiv:quant-ph/0310146 v1 · 2003-10-23 · 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{PDCCLTUROUKDZCMONFRT5G3MXO}

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	2026-05-18T00:25:45.822655Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78c425ce9175143c898e69633e9b6cbb993a7654d5c429943c9c13778bf4472a

Aliases

arxiv: quant-ph/0310146 · arxiv_version: quant-ph/0310146v1 · doi: 10.48550/arxiv.quant-ph/0310146 · pith_short_12: PDCCLTUROUKD · pith_short_16: PDCCLTUROUKDZCMO · pith_short_8: PDCCLTUR

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/PDCCLTUROUKDZCMONFRT5G3MXO \
  | 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: 78c425ce9175143c898e69633e9b6cbb993a7654d5c429943c9c13778bf4472a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d2533a6900897304c16b01f4e517649d16120e66be3124147d06db39d19cac8",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2003-10-23T14:30:20Z",
    "title_canon_sha256": "17f4e09ad8f5a3056c733856f645fbecc62859b5460907fcadf2fc37f8808327"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0310146",
    "kind": "arxiv",
    "version": 1
  }
}