Pith Number

pith:ZFIIWXOW

pith:2011:ZFIIWXOW5YRJLKWKTNILD6BGAQ

not attested not anchored not stored refs pending

Lower bounds for the constants in the Bohnenblust-Hille inequality: the case of real scalars

Daniel Pellegrino, Diogo Diniz, Gustavo Mu\~noz-Fern\'andez, Juan B. Seoane-Sep\'ulveda

arxiv:1111.3253 v2 · 2011-11-14 · 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{ZFIIWXOW5YRJLKWKTNILD6BGAQ}

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	2026-05-18T01:31:30.553300Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9508b5dd6ee2295aaca9b50b1f8260433374929b224415b83631fb77a84a509

Aliases

arxiv: 1111.3253 · arxiv_version: 1111.3253v2 · doi: 10.48550/arxiv.1111.3253 · pith_short_12: ZFIIWXOW5YRJ · pith_short_16: ZFIIWXOW5YRJLKWK · pith_short_8: ZFIIWXOW

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/ZFIIWXOW5YRJLKWKTNILD6BGAQ \
  | 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: c9508b5dd6ee2295aaca9b50b1f8260433374929b224415b83631fb77a84a509

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f581f456038418e7029c57301685a8bec2010b602fc1eec00bbe599a75f0622b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-11-14T15:48:24Z",
    "title_canon_sha256": "74b2005093d35d923ca0d856f623c06e2e325fa48ee24a08f3a260a08d7e4a36"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.3253",
    "kind": "arxiv",
    "version": 2
  }
}