Pith Number

pith:5MDN7YEN

pith:2019:5MDN7YENBZM77BGI4W4SGEKT2J

not attested not anchored not stored refs pending

Improvement on a Generalized Lieb's Concavity Theorem

De Huang

arxiv:1905.02194 v1 · 2019-05-04 · math.FA · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5MDN7YENBZM77BGI4W4SGEKT2J}

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	2026-05-17T23:46:52.077764Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb06dfe08d0e59ff84c8e5b9231153d266c46003ae84756ab1cb05780de03bed

Aliases

arxiv: 1905.02194 · arxiv_version: 1905.02194v1 · doi: 10.48550/arxiv.1905.02194 · pith_short_12: 5MDN7YENBZM7 · pith_short_16: 5MDN7YENBZM77BGI · pith_short_8: 5MDN7YEN

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/5MDN7YENBZM77BGI4W4SGEKT2J \
  | 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: eb06dfe08d0e59ff84c8e5b9231153d266c46003ae84756ab1cb05780de03bed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "453008232c150be7eb8e806afdccac19bcb0fe67d0b64816831dbc58007a2d63",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2019-05-04T04:19:24Z",
    "title_canon_sha256": "22af216b2c3088e632b12b1871bf656d6204fe57833fecb15de08170b9824d30"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.02194",
    "kind": "arxiv",
    "version": 1
  }
}