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Pith Number

pith:OPPIQNRE

pith:2016:OPPIQNRETVZNUTBHARSBZMO3BM
not attested not anchored not stored refs pending

Weighted information and weighted entropic inequalities for qutrit and ququart states

V. I. Man'ko, Z. Seilov

arxiv:1604.01089 v3 · 2016-04-04 · quant-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{OPPIQNRETVZNUTBHARSBZMO3BM}

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 2026-05-18T01:01:35.987363Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

73de8836249d72da4c2704641cb1db0b17cffdc9949ab93d5a1ae08c55da78d9

Aliases

arxiv: 1604.01089 · arxiv_version: 1604.01089v3 · doi: 10.48550/arxiv.1604.01089 · pith_short_12: OPPIQNRETVZN · pith_short_16: OPPIQNRETVZNUTBH · pith_short_8: OPPIQNRE
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/OPPIQNRETVZNUTBHARSBZMO3BM \
  | 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: 73de8836249d72da4c2704641cb1db0b17cffdc9949ab93d5a1ae08c55da78d9
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "958f438e08cece3a812c731d65f09e52bec57b2e2127eab780b6dc6f9ed532f5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2016-04-04T23:30:38Z",
    "title_canon_sha256": "14b73fe53467df9e0ab10668b43cbbcfcd38c46e113da0924de74b7e48a4e397"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.01089",
    "kind": "arxiv",
    "version": 3
  }
}