Pith Number

pith:QPPTF5HP

pith:2010:QPPTF5HPHF2F7C7DDYINIF3Q6N

not attested not anchored not stored refs pending

Negative entanglement measure for bipartite separable mixed states

Cheng-Jie Zhang, Guang-Can Guo, Xiang-Fa Zhou, Yong-Jian Han, Yong-Sheng Zhang, Yu-Chun Wu

arxiv:1001.5148 v2 · 2010-01-28 · 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{QPPTF5HPHF2F7C7DDYINIF3Q6N}

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	2026-05-18T02:09:28.846276Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

83df32f4ef39745f8be31e10d41770f35dcf29b7c1fdc37693db0c3dc6eef0ae

Aliases

arxiv: 1001.5148 · arxiv_version: 1001.5148v2 · doi: 10.48550/arxiv.1001.5148 · pith_short_12: QPPTF5HPHF2F · pith_short_16: QPPTF5HPHF2F7C7D · pith_short_8: QPPTF5HP

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/QPPTF5HPHF2F7C7DDYINIF3Q6N \
  | 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: 83df32f4ef39745f8be31e10d41770f35dcf29b7c1fdc37693db0c3dc6eef0ae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b9c02b21532beeed4e6080939e8cf6f76da6670879d23f85ed367cd4d4e1a660",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2010-01-28T11:10:26Z",
    "title_canon_sha256": "eb2c4a8b765e8d9c16fac483f54a84352ba0f995ba7fcfe69b08fb4397f867b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.5148",
    "kind": "arxiv",
    "version": 2
  }
}