Pith Number

pith:SBKKPNFE

pith:2002:SBKKPNFETLP2WXYL3Z6AQRACYM

not attested not anchored not stored refs pending

Separability of rank two quantum states on multiple quantum spaces

Ke Wu, Shao-Ming Fei, Xiao-Hong Wang, Xiu-Hong Gao, Zhi-Xi Wang

arxiv:quant-ph/0208089 v1 · 2002-08-14 · 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{SBKKPNFETLP2WXYL3Z6AQRACYM}

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	2026-05-18T01:37:59.961274Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9054a7b4a49adfab5f0bde7c084402c30411792b17c115d0ec9ae608fc701e3e

Aliases

arxiv: quant-ph/0208089 · arxiv_version: quant-ph/0208089v1 · doi: 10.48550/arxiv.quant-ph/0208089 · pith_short_12: SBKKPNFETLP2 · pith_short_16: SBKKPNFETLP2WXYL · pith_short_8: SBKKPNFE

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/SBKKPNFETLP2WXYL3Z6AQRACYM \
  | 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: 9054a7b4a49adfab5f0bde7c084402c30411792b17c115d0ec9ae608fc701e3e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "07c304c34d558e037cd7a5ddd3ad2ea73a89ab6ff7cd45ce8d484a50a7139b11",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2002-08-14T03:07:09Z",
    "title_canon_sha256": "eea29a7e030f5d31a3ee446c11a7fe2b134384a40e6d030b6d7911ff5a532bf5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0208089",
    "kind": "arxiv",
    "version": 1
  }
}