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Pith Number

pith:EZR46GNN

pith:2012:EZR46GNNUIXP3I2QVOV7R3UN3X
not attested not anchored not stored refs pending

Operator entanglement of two-qubit joint unitary operations revisited: Schmidt number approach

Chao Li, Hui-Zhi Xia, Ming Yang, Qing Yang, Zhuo-Liang Cao

arxiv:1204.0996 v1 · 2012-04-04 · quant-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{EZR46GNNUIXP3I2QVOV7R3UN3X}

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 2026-05-18T01:57:57.054652Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

2663cf19ada22efda350ababf8ee8dddcd6e4b5adf27a40fa3b22303313a6d00

Aliases

arxiv: 1204.0996 · arxiv_version: 1204.0996v1 · doi: 10.48550/arxiv.1204.0996 · pith_short_12: EZR46GNNUIXP · pith_short_16: EZR46GNNUIXP3I2Q · pith_short_8: EZR46GNN
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/EZR46GNNUIXP3I2QVOV7R3UN3X \
  | 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: 2663cf19ada22efda350ababf8ee8dddcd6e4b5adf27a40fa3b22303313a6d00
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "e4d5ebc315895fafe6911c0778ae48f31822f678f375465ef6c9ed57f0da1a92",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2012-04-04T16:46:16Z",
    "title_canon_sha256": "8d0fd4005bad79a6f64cdc75c100875384251dbf86fa6dd4e1d61bcdc3ba460e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.0996",
    "kind": "arxiv",
    "version": 1
  }
}