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Pith Number

pith:LYZVNC5Z

pith:2013:LYZVNC5ZHHTMYACOOL3G4H3BML
not attested not anchored not stored refs pending

Quantum discord of ensemble of quantum states

Guang-Can Guo, Jing-Zheng Huang, Wei Chen, Xu-Bo Zou, Yao Yao, Zheng-Fu Han, Zhen-Qiang Yin

arxiv:1303.4815 v1 · 2013-03-20 · quant-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{LYZVNC5ZHHTMYACOOL3G4H3BML}

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 2026-05-18T03:30:24.783797Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

5e33568bb939e6cc004e72f66e1f6162fb9078d70966a6e6f19acb988a2b355b

Aliases

arxiv: 1303.4815 · arxiv_version: 1303.4815v1 · doi: 10.48550/arxiv.1303.4815 · pith_short_12: LYZVNC5ZHHTM · pith_short_16: LYZVNC5ZHHTMYACO · pith_short_8: LYZVNC5Z
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/LYZVNC5ZHHTMYACOOL3G4H3BML \
  | 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: 5e33568bb939e6cc004e72f66e1f6162fb9078d70966a6e6f19acb988a2b355b
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "2b588edfeadd1f30f44b23285c04971fd58e5860b7480742b9c985bbd40b7e80",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2013-03-20T02:44:41Z",
    "title_canon_sha256": "7103553c7b001b4e518095263a8d70ebdb7c667ed5b947a77a7618f14c64c99c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.4815",
    "kind": "arxiv",
    "version": 1
  }
}