Pith Number

pith:Q56IFGVV

pith:2014:Q56IFGVVT4HXVECHSXLJSWI42R

not attested not anchored not stored refs pending

Entropic inequalities and properties of some special functions

L.A. Markovich, V.I. Man'ko

arxiv:1401.3117 v1 · 2014-01-14 · math-ph · math.MP · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Q56IFGVVT4HXVECHSXLJSWI42R}

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	2026-05-18T02:48:54.722249Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

877c829ab59f0f7a904795d699591cd463c53ddb53dd935439b356c41381cc5f

Aliases

arxiv: 1401.3117 · arxiv_version: 1401.3117v1 · doi: 10.48550/arxiv.1401.3117 · pith_short_12: Q56IFGVVT4HX · pith_short_16: Q56IFGVVT4HXVECH · pith_short_8: Q56IFGVV

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/Q56IFGVVT4HXVECHSXLJSWI42R \
  | 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: 877c829ab59f0f7a904795d699591cd463c53ddb53dd935439b356c41381cc5f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "868610d5ef018f2f1632edcb28355add9a72855dcb7f920b771e7723f59feff9",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2014-01-14T09:51:01Z",
    "title_canon_sha256": "c0d8f1a320533a8e49d30faf6d0c423415fb82db14d333666737f7f1854a0139"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.3117",
    "kind": "arxiv",
    "version": 1
  }
}