Pith Number

pith:TNXHLAEH

pith:2010:TNXHLAEH2MRJ4TOQ4QBB3TGWRF

not attested not anchored not stored refs pending

The Origin of Separable States and Separability Criteria from Entanglement-breaking Channels

Bang-Hai Wang, Dongyang Long, Qin Li

arxiv:1004.3496 v3 · 2010-04-20 · 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{TNXHLAEH2MRJ4TOQ4QBB3TGWRF}

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	2026-05-18T02:07:56.146178Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b6e758087d3229e4dd0e4021dccd6894121a4114b4327ccbb1339341dccdce2

Aliases

arxiv: 1004.3496 · arxiv_version: 1004.3496v3 · doi: 10.48550/arxiv.1004.3496 · pith_short_12: TNXHLAEH2MRJ · pith_short_16: TNXHLAEH2MRJ4TOQ · pith_short_8: TNXHLAEH

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/TNXHLAEH2MRJ4TOQ4QBB3TGWRF \
  | 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: 9b6e758087d3229e4dd0e4021dccd6894121a4114b4327ccbb1339341dccdce2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "327578d826882cad7538f57104cdb6765c516499b77d3628ad6ef7f86db46455",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2010-04-20T16:20:46Z",
    "title_canon_sha256": "165b14238bb764180b031926c30feea9bdc4c72e4217a3c756567c12add73099"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.3496",
    "kind": "arxiv",
    "version": 3
  }
}