Pith Number

pith:RT22P76Q

pith:2025:RT22P76QZYZ677XFVI2CNWIZR4

not attested not anchored not stored refs pending

Semicontinuity bounds for the von Neumann entropy and partial majorization

M.E.Shirokov

arxiv:2504.08098 v2 · 2025-04-10 · quant-ph · cs.IT · math-ph · math.IT · math.MP

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RT22P76QZYZ677XFVI2CNWIZR4}

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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

Partial majorization and Schur concave functions on the sets of quantum and classical states

Receipt and verification

First computed	2026-07-05T11:14:58.043406Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8cf5a7ffd0ce33effee5aa3426d9198f2ccf06f7e9eee75c711189270f3bb167

Aliases

arxiv: 2504.08098 · arxiv_version: 2504.08098v2 · doi: 10.48550/arxiv.2504.08098 · pith_short_12: RT22P76QZYZ6 · pith_short_16: RT22P76QZYZ677XF · pith_short_8: RT22P76Q

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/RT22P76QZYZ677XFVI2CNWIZR4 \
  | 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: 8cf5a7ffd0ce33effee5aa3426d9198f2ccf06f7e9eee75c711189270f3bb167

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ef21be1248c007267cd414844c1cf375b09c0af3956cc78d26da1a6c3f40ad6",
    "cross_cats_sorted": [
      "cs.IT",
      "math-ph",
      "math.IT",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2025-04-10T19:55:06Z",
    "title_canon_sha256": "9a6b299ee183c0fcac097bf4b5e2a914841985f058422472f5934ac9a41f29b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.08098",
    "kind": "arxiv",
    "version": 2
  }
}