Pith Number

pith:4VFPUONS

pith:2013:4VFPUONS3KQMZLX3I7NRKTBFD3

not attested not anchored not stored refs pending

On equalities in two entropic inequalities

M.E. Shirokov

arxiv:1302.5336 v1 · 2013-02-21 · quant-ph · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4VFPUONS3KQMZLX3I7NRKTBFD3}

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	2026-05-18T01:36:02.267557Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e54afa39b2daa0ccaefb47db154c251ee807db023d723bdc472c0e72c7af018c

Aliases

arxiv: 1302.5336 · arxiv_version: 1302.5336v1 · doi: 10.48550/arxiv.1302.5336 · pith_short_12: 4VFPUONS3KQM · pith_short_16: 4VFPUONS3KQMZLX3 · pith_short_8: 4VFPUONS

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/4VFPUONS3KQMZLX3I7NRKTBFD3 \
  | 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: e54afa39b2daa0ccaefb47db154c251ee807db023d723bdc472c0e72c7af018c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c300f6d2878a04c79564b9d8959cac779f25d024921b2eb691bd87377ab85205",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2013-02-21T16:58:47Z",
    "title_canon_sha256": "34688752442e0e76567b819ffba209787beb3bc6bea8845eea59d9bf49cc511a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.5336",
    "kind": "arxiv",
    "version": 1
  }
}