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Pith Number

pith:GL3VKXTE

pith:2014:GL3VKXTEGOC6LYMOUR7SVRBZTQ
not attested not anchored not stored refs pending

Minkovskii-type inequality for arbitrary density matrix of composite and noncomposite systems

O. V. Man'ko, V. I. Man'ko, V. N. Chernega

arxiv:1405.4956 v1 · 2014-05-20 · quant-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{GL3VKXTEGOC6LYMOUR7SVRBZTQ}

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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 2026-05-17T23:54:27.364353Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

32f7555e643385e5e18ea47f2ac4399c29ee45757d11422c75f86c1ae4330629

Aliases

arxiv: 1405.4956 · arxiv_version: 1405.4956v1 · doi: 10.48550/arxiv.1405.4956 · pith_short_12: GL3VKXTEGOC6 · pith_short_16: GL3VKXTEGOC6LYMO · pith_short_8: GL3VKXTE
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/GL3VKXTEGOC6LYMOUR7SVRBZTQ \
  | 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: 32f7555e643385e5e18ea47f2ac4399c29ee45757d11422c75f86c1ae4330629
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "95fa429f8a3e33c0ce34aedf266ec609a89a347519d0dee1c51f4e412ca28fa8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2014-05-20T05:46:07Z",
    "title_canon_sha256": "8f5283e9f352a8baa22a363380b9effcb545aeef230b52bac4003148944b68b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.4956",
    "kind": "arxiv",
    "version": 1
  }
}