Pith Number

pith:6M3XOLJ7

pith:2012:6M3XOLJ7FH36MIY4CSS44XU5F6

not attested not anchored not stored refs pending

Lower Bound of Multipartite Concurrence Based on Sub-quantum State Decomposition

Ming-Jing Zhao, Shao-Ming Fei, Xue-Na Zhu

arxiv:1208.1745 v1 · 2012-08-08 · 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{6M3XOLJ7FH36MIY4CSS44XU5F6}

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	2026-05-18T03:49:10.785677Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f337772d3f29f7e6231c14a5ce5e9d2f876db044cbd99d49c53b12f9c585a32a

Aliases

arxiv: 1208.1745 · arxiv_version: 1208.1745v1 · doi: 10.48550/arxiv.1208.1745 · pith_short_12: 6M3XOLJ7FH36 · pith_short_16: 6M3XOLJ7FH36MIY4 · pith_short_8: 6M3XOLJ7

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/6M3XOLJ7FH36MIY4CSS44XU5F6 \
  | 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: f337772d3f29f7e6231c14a5ce5e9d2f876db044cbd99d49c53b12f9c585a32a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f1947beb9a1f300d2ce4ed4dd2194b3b9f8cab7b3124fb93ce83e637955d0f7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2012-08-08T19:28:34Z",
    "title_canon_sha256": "39aeade6362e60eb8c4c6dc431559441eba5ac184aa983064e4cfb6c7c74ba37"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.1745",
    "kind": "arxiv",
    "version": 1
  }
}