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Pith Number

pith:GWZ7FN2B

pith:2011:GWZ7FN2BP2ZVPUYBJH7HATZ3LJ
not attested not anchored not stored refs pending

Conditions for Monogamy of Quantum Discord: Greenberger-Horne-Zeilinger versus W states

Aditi Sen De, Arun Kumar Pati, R. Prabhu, Ujjwal Sen

arxiv:1108.5168 v4 · 2011-08-25 · quant-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{GWZ7FN2BP2ZVPUYBJH7HATZ3LJ}

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 2026-05-18T02:54:03.767395Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

35b3f2b7417eb357d30149fe704f3b5a69787c6190698db5f0bd7a9e12b29774

Aliases

arxiv: 1108.5168 · arxiv_version: 1108.5168v4 · doi: 10.48550/arxiv.1108.5168 · pith_short_12: GWZ7FN2BP2ZV · pith_short_16: GWZ7FN2BP2ZVPUYB · pith_short_8: GWZ7FN2B
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/GWZ7FN2BP2ZVPUYBJH7HATZ3LJ \
  | 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: 35b3f2b7417eb357d30149fe704f3b5a69787c6190698db5f0bd7a9e12b29774
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "0f513a92b588b1a2f921b93233423b0d8286175e04c1f856eba64f4db0754c4b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2011-08-25T19:45:00Z",
    "title_canon_sha256": "84686555b2c78e3317d825c840d239ae96e3401914e20da60a7be098a3bbf65f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.5168",
    "kind": "arxiv",
    "version": 4
  }
}