Pith Number

pith:MD55IJ4C

pith:2019:MD55IJ4CYBN5JCZDZWNQ4ZOLXO

not attested not anchored not stored refs pending

Hausdorff-Young type inequalities for vector-valued Dirichlet series

Daniel Carando, Felipe Marceca, Pablo Sevilla-Peris

arxiv:1904.00041 v2 · 2019-03-29 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MD55IJ4CYBN5JCZDZWNQ4ZOLXO}

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	2026-05-17T23:40:17.322377Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

60fbd42782c05bd48b23cd9b0e65cbbb9c14e93fd9fd40f6a2730b0fc32e57bf

Aliases

arxiv: 1904.00041 · arxiv_version: 1904.00041v2 · doi: 10.48550/arxiv.1904.00041 · pith_short_12: MD55IJ4CYBN5 · pith_short_16: MD55IJ4CYBN5JCZD · pith_short_8: MD55IJ4C

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/MD55IJ4CYBN5JCZDZWNQ4ZOLXO \
  | 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: 60fbd42782c05bd48b23cd9b0e65cbbb9c14e93fd9fd40f6a2730b0fc32e57bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2fd8cba43d4ecefe450a61122445d1e757ed42ee1bc0116a4f8629d9ed203859",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2019-03-29T18:38:01Z",
    "title_canon_sha256": "bafbc3e53c5a1f1eea9f2179d5041cb3bcb02004da9484bb93e11794cff24364"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.00041",
    "kind": "arxiv",
    "version": 2
  }
}