Pith. sign in
Pith Number

pith:JOADKBQT

pith:2022:JOADKBQT7SXMLJKYCZK62A4HVH
not attested not anchored not stored refs pending

A new operator extension of strong subadditivity of quantum entropy

Isaac H. Kim, Min-Hsiu Hsieh, Ting-Chun Lin

arxiv:2211.13372 v3 · 2022-11-24 · quant-ph · math-ph · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{JOADKBQT7SXMLJKYCZK62A4HVH}

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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.

Cited by

1 paper in Pith

Receipt and verification
First computed 2026-07-05T11:03:46.823814Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

4b80350613fcaec5a5581655ed0387a9dcf6516d679c2080bef60f21d26c40b6

Aliases

arxiv: 2211.13372 · arxiv_version: 2211.13372v3 · doi: 10.48550/arxiv.2211.13372 · pith_short_12: JOADKBQT7SXM · pith_short_16: JOADKBQT7SXMLJKY · pith_short_8: JOADKBQT
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/JOADKBQT7SXMLJKYCZK62A4HVH \
  | 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: 4b80350613fcaec5a5581655ed0387a9dcf6516d679c2080bef60f21d26c40b6
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "46181ad6ea90f355349556449b001929752b37995350bdc6ae6de6d9eeab6961",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2022-11-24T01:45:44Z",
    "title_canon_sha256": "accf51cbd0d5ca88b1c135b575d8e4d6ad831d8ce732a9e3212d7ee61bdb71b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2211.13372",
    "kind": "arxiv",
    "version": 3
  }
}