Pith Number

pith:2BEOP7NA

pith:2012:2BEOP7NA3GAU46TBQX24HMMRG5

not attested not anchored not stored refs pending

Efficient $k$-separability criteria for mixed multipartite quantum states

Fengli Yan, Ting Gao, Yan Hong, Yao Lu

arxiv:1204.2864 v3 · 2012-04-13 · 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{2BEOP7NA3GAU46TBQX24HMMRG5}

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	2026-05-18T03:06:22.586770Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d048e7fda0d9814e7a6185f5c3b19137494858666b61922458889c8d129cd5d5

Aliases

arxiv: 1204.2864 · arxiv_version: 1204.2864v3 · doi: 10.48550/arxiv.1204.2864 · pith_short_12: 2BEOP7NA3GAU · pith_short_16: 2BEOP7NA3GAU46TB · pith_short_8: 2BEOP7NA

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/2BEOP7NA3GAU46TBQX24HMMRG5 \
  | 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: d048e7fda0d9814e7a6185f5c3b19137494858666b61922458889c8d129cd5d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c8ff9c65921ab6a873ea4967ecb920ef75d61600470c97e4e76837253307397",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2012-04-13T02:30:11Z",
    "title_canon_sha256": "eab6596c0d9fabd560a3befa1244a6b194a802a45e2096794973b80bfa27445b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.2864",
    "kind": "arxiv",
    "version": 3
  }
}