Pith Number

pith:PND6D6KZ

pith:2009:PND6D6KZORB4CC74OWVLCRM76X

not attested not anchored not stored refs pending

The Bohnenblust--Hille inequality for homogeneous polynomials is hypercontractive

Andreas Defant, Joaquim Ortega-Cerd\`a, Kristian Seip, Leonhard Frerick, Myriam Ouna\"ies

arxiv:0904.3540 v1 · 2009-04-23 · math.CV · 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{PND6D6KZORB4CC74OWVLCRM76X}

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	2026-05-18T04:11:40.866855Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b47e1f9597443c10bfc75aab1459ff5dd3ac00a02d390e17c20b383bc20a235

Aliases

arxiv: 0904.3540 · arxiv_version: 0904.3540v1 · doi: 10.48550/arxiv.0904.3540 · pith_short_12: PND6D6KZORB4 · pith_short_16: PND6D6KZORB4CC74 · pith_short_8: PND6D6KZ

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/PND6D6KZORB4CC74OWVLCRM76X \
  | 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: 7b47e1f9597443c10bfc75aab1459ff5dd3ac00a02d390e17c20b383bc20a235

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8249e2fba8665f254203e7475eb8adcad58bbb2a867cc9b9d5b3418d7ccc3739",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2009-04-23T05:32:57Z",
    "title_canon_sha256": "0cf56157f6b52b7d194894474e0ee93b79aa1276d2fd52af1d3b7194f6084e20"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0904.3540",
    "kind": "arxiv",
    "version": 1
  }
}