Pith Number

pith:N5DYY7X2

pith:2014:N5DYY7X2TQQUMBU3AS2YPWUUBR

not attested not anchored not stored refs pending

New Minkowski type inequalities and entropic inequalities for quantum states of qudits

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

arxiv:1409.0475 v1 · 2014-09-01 · 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{N5DYY7X2TQQUMBU3AS2YPWUUBR}

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	2026-05-18T01:16:10.013255Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6f478c7efa9c2146069b04b587da940c66105b490d9ee67e526deb6bf4f22299

Aliases

arxiv: 1409.0475 · arxiv_version: 1409.0475v1 · doi: 10.48550/arxiv.1409.0475 · pith_short_12: N5DYY7X2TQQU · pith_short_16: N5DYY7X2TQQUMBU3 · pith_short_8: N5DYY7X2

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/N5DYY7X2TQQUMBU3AS2YPWUUBR \
  | 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: 6f478c7efa9c2146069b04b587da940c66105b490d9ee67e526deb6bf4f22299

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8676cf5eca4c0e0c004404126a6a777a899268f1c9c220ea5f78992f2383b10e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2014-09-01T16:37:13Z",
    "title_canon_sha256": "a8f5b428086a1b72d245bc6485e6adf9f98f99296df90b1abde88697c7641377"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.0475",
    "kind": "arxiv",
    "version": 1
  }
}