Pith Number

pith:VTUQMRLE

pith:2011:VTUQMRLEUOGOV5KH6FJCG6MXSY

not attested not anchored not stored refs pending

The asymptotic growth of the constants in the Bohnenblust-Hille inequality is optimal

Daniel Pellegrino, Diogo Diniz, G. A. Mu\~noz-Fern\'andez, J. B. Seoane-Sep\'ulveda

arxiv:1108.1550 v2 · 2011-08-07 · 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{VTUQMRLEUOGOV5KH6FJCG6MXSY}

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	2026-05-18T03:46:49.336029Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ace9064564a38ceaf547f1522379979619bfed0c62980b4edb326570966b691c

Aliases

arxiv: 1108.1550 · arxiv_version: 1108.1550v2 · doi: 10.48550/arxiv.1108.1550 · pith_short_12: VTUQMRLEUOGO · pith_short_16: VTUQMRLEUOGOV5KH · pith_short_8: VTUQMRLE

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/VTUQMRLEUOGOV5KH6FJCG6MXSY \
  | 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: ace9064564a38ceaf547f1522379979619bfed0c62980b4edb326570966b691c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9545a32f29aa40925d5e08ca9928794e239e9d07d3f5436740e6832e52e6df72",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-08-07T15:31:24Z",
    "title_canon_sha256": "b002ed47b0cf0701741bf0051e7e474de9eeb5c65844bd46e346596edd576c38"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.1550",
    "kind": "arxiv",
    "version": 2
  }
}