Pith Number

pith:N5FBHPVV

pith:2012:N5FBHPVVWG2JBDVEZJ7Y3ZJARI

not attested not anchored not stored refs pending

A simple proof that the power $\frac{2m}{m+1}$ in the Bohnenblust--Hille inequalities is sharp

Daniel Nu\~nez-Alarc\'on, Daniel Pellegrino

arxiv:1207.2662 v1 · 2012-07-11 · 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{N5FBHPVVWG2JBDVEZJ7Y3ZJARI}

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	2026-05-18T03:51:14.862527Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6f4a13beb5b1b4908ea4ca7f8de5208a0491b1f439da47ad2d7b4f4e087a9678

Aliases

arxiv: 1207.2662 · arxiv_version: 1207.2662v1 · doi: 10.48550/arxiv.1207.2662 · pith_short_12: N5FBHPVVWG2J · pith_short_16: N5FBHPVVWG2JBDVE · pith_short_8: N5FBHPVV

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/N5FBHPVVWG2JBDVEZJ7Y3ZJARI \
  | 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: 6f4a13beb5b1b4908ea4ca7f8de5208a0491b1f439da47ad2d7b4f4e087a9678

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "77e1f3a40430873123520b149847147a0f0bc4eb8af1f832768647c5fa47cd24",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-07-11T14:56:08Z",
    "title_canon_sha256": "a6d55e140b41161b25b64ea39d5e362c03eb4c3b4835dda5dbb7ed1b2141f91e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.2662",
    "kind": "arxiv",
    "version": 1
  }
}