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Pith Number

pith:XVVA2J56

pith:2011:XVVA2J56TPFP33U5JM2ZBL6DL4
not attested not anchored not stored refs pending

Enhancement of non-equilibrium thermal quantum discord and entanglement of a three-spin XX chain by multi-spin interaction and external magnetic field

Fu-li Li, Xiu-Xing Zhang

arxiv:1105.4208 v1 · 2011-05-21 · quant-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{XVVA2J56TPFP33U5JM2ZBL6DL4}

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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 2026-05-18T02:01:53.339980Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

bd6a0d27be9bcafdee9d4b3590afc35f2f260ab3bf46a57a97a4e9019853ea57

Aliases

arxiv: 1105.4208 · arxiv_version: 1105.4208v1 · doi: 10.48550/arxiv.1105.4208 · pith_short_12: XVVA2J56TPFP · pith_short_16: XVVA2J56TPFP33U5 · pith_short_8: XVVA2J56
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/XVVA2J56TPFP33U5JM2ZBL6DL4 \
  | 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: bd6a0d27be9bcafdee9d4b3590afc35f2f260ab3bf46a57a97a4e9019853ea57
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "4a4bc57d1af2306cd64e1445c5533b38478bda826ebc05a735f5fce5af440192",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2011-05-21T02:46:12Z",
    "title_canon_sha256": "25c94e6157d3aaa6e20c77aa5b10fede289d93dab3bc52993120acad4974729a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.4208",
    "kind": "arxiv",
    "version": 1
  }
}