Pith Number

pith:QBW5CVW5

pith:2011:QBW5CVW5N2IXHEVA6J6WUNDPDZ

not attested not anchored not stored refs pending

Lower Bound of Concurrence Based on Positive Maps

Shao-Ming Fei, Xiao-Sheng Li, Xiu-Hong Gao

arxiv:1104.1000 v1 · 2011-04-06 · 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{QBW5CVW5N2IXHEVA6J6WUNDPDZ}

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	2026-05-18T04:24:53.819563Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

806dd156dd6e917392a0f27d6a346f1e52965533c47cb4bb2749fae8e28e757b

Aliases

arxiv: 1104.1000 · arxiv_version: 1104.1000v1 · doi: 10.48550/arxiv.1104.1000 · pith_short_12: QBW5CVW5N2IX · pith_short_16: QBW5CVW5N2IXHEVA · pith_short_8: QBW5CVW5

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/QBW5CVW5N2IXHEVA6J6WUNDPDZ \
  | 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: 806dd156dd6e917392a0f27d6a346f1e52965533c47cb4bb2749fae8e28e757b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "44d23fce51ace0135250fa80373ae474f5ac398c125a21dc4e169aff04365d1d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2011-04-06T04:02:26Z",
    "title_canon_sha256": "df0c1844449b736cda09c7b61d352473415377397e39ff6b34f367151b91c708"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.1000",
    "kind": "arxiv",
    "version": 1
  }
}