Pith Number

pith:FFOPIUIF

pith:2012:FFOPIUIFDA4ZKXUGHV2R5DSQUQ

not attested not anchored not stored refs pending

On the Bohnenblust-Hille inequality and a variant of Littlewood's 4/3 inequality

D. Nunez-Alarcon, D. Pellegrino, J. B. Seoane-Sepulveda

arxiv:1203.3043 v4 · 2012-03-14 · 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{FFOPIUIFDA4ZKXUGHV2R5DSQUQ}

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	2026-05-18T01:31:20.108441Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

295cf451051839955e863d751e8e50a402801d914c9f51256a52f5d578fb6696

Aliases

arxiv: 1203.3043 · arxiv_version: 1203.3043v4 · doi: 10.48550/arxiv.1203.3043 · pith_short_12: FFOPIUIFDA4Z · pith_short_16: FFOPIUIFDA4ZKXUG · pith_short_8: FFOPIUIF

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/FFOPIUIFDA4ZKXUGHV2R5DSQUQ \
  | 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: 295cf451051839955e863d751e8e50a402801d914c9f51256a52f5d578fb6696

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4bffea746991b23d6e11774b56a50acb466cbc2929ef5b7ed22bda99445a3048",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-03-14T10:44:57Z",
    "title_canon_sha256": "571767a9c70e343fbe222c973eb9dccbd2370dfce41f369df4e99b9133e52411"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.3043",
    "kind": "arxiv",
    "version": 4
  }
}