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Pith Number

pith:X3N74WQC

pith:2010:X3N74WQCN5PLJQGDFM6QPDWR5L
not attested not anchored not stored refs pending

Necessary and sufficient condition for non-zero quantum discord

Borivoje Dakic, Caslav Brukner, Vlatko Vedral

arxiv:1004.0190 v2 · 2010-04-01 · quant-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{X3N74WQCN5PLJQGDFM6QPDWR5L}

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.

Cited by

2 papers in Pith

Receipt and verification
First computed 2026-05-18T04:37:20.745005Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

bedbfe5a026f5eb4c0c32b3d078ed1eafe316aa9210b90153c561f6cbe296407

Aliases

arxiv: 1004.0190 · arxiv_version: 1004.0190v2 · doi: 10.48550/arxiv.1004.0190 · pith_short_12: X3N74WQCN5PL · pith_short_16: X3N74WQCN5PLJQGD · pith_short_8: X3N74WQC
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/X3N74WQCN5PLJQGDFM6QPDWR5L \
  | 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: bedbfe5a026f5eb4c0c32b3d078ed1eafe316aa9210b90153c561f6cbe296407
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "bf92beb9142a70d5124df96d34196b8c39cb0a3fb7a56215402307e8634bbf64",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2010-04-01T17:50:04Z",
    "title_canon_sha256": "398864d6c4700197442a5907596f86c960e984b142f5804320fec223441a230e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.0190",
    "kind": "arxiv",
    "version": 2
  }
}