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Pith Number

pith:NS72N4GG

pith:2011:NS72N4GG72W5NHTY67Q2ZVI4TV
not attested not anchored not stored refs pending

Quantum discord of two-qubit rank-two states

Fengjian Jiang, Jiangfeng Du, Mingjun Shi, Wei Yang

arxiv:1107.2246 v2 · 2011-07-12 · quant-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{NS72N4GG72W5NHTY67Q2ZVI4TV}

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 2026-05-18T02:01:19.781709Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

6cbfa6f0c6feadd69e78f7e1acd51c9d4ddb9c29204768ed60c38e30603c5441

Aliases

arxiv: 1107.2246 · arxiv_version: 1107.2246v2 · doi: 10.48550/arxiv.1107.2246 · pith_short_12: NS72N4GG72W5 · pith_short_16: NS72N4GG72W5NHTY · pith_short_8: NS72N4GG
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/NS72N4GG72W5NHTY67Q2ZVI4TV \
  | 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: 6cbfa6f0c6feadd69e78f7e1acd51c9d4ddb9c29204768ed60c38e30603c5441
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "3e05ad617a6d20baaf6c554ea77518c23d6aa5fba1aeca2f5337dc3c939930ce",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2011-07-12T11:09:37Z",
    "title_canon_sha256": "62ba8394805b5c38b49f7a3a2e164567a51b2d26181e7e3c5c5da6976454c644"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.2246",
    "kind": "arxiv",
    "version": 2
  }
}