Pith Number

pith:4VTN4QJN

pith:2016:4VTN4QJNB6V6KVW2FGYA37ACVJ

not attested not anchored not stored refs pending

Generalized Log-Majorization and Multivariate Trace Inequalities

Fumio Hiai, Marco Tomamichel, Robert Koenig

arxiv:1609.01999 v2 · 2016-09-07 · 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{4VTN4QJNB6V6KVW2FGYA37ACVJ}

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	2026-05-18T00:28:27.132056Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e566de412d0fabe556da29b00dfc02aa65df3e1cad02d97bdec2082a717c42ee

Aliases

arxiv: 1609.01999 · arxiv_version: 1609.01999v2 · doi: 10.48550/arxiv.1609.01999 · pith_short_12: 4VTN4QJNB6V6 · pith_short_16: 4VTN4QJNB6V6KVW2 · pith_short_8: 4VTN4QJN

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/4VTN4QJNB6V6KVW2FGYA37ACVJ \
  | 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: e566de412d0fabe556da29b00dfc02aa65df3e1cad02d97bdec2082a717c42ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "af20331f9ab77aaa21efc21f3dd7c9975ad9dd2b42dd251e61fd196c4d88c7a3",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-09-07T14:37:00Z",
    "title_canon_sha256": "8392417b519b95729c04078ac8f934c8ce7464a2016fa477e38d90f88a0d53fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.01999",
    "kind": "arxiv",
    "version": 2
  }
}