Pith Number

pith:J2J7DS64

pith:2015:J2J7DS64O65LHNAFFLS6XV5WFZ

not attested not anchored not stored refs pending

Optimal Hardy-Littlewood type inequalities for $m$-linear forms on $\ell_{p}$ spaces with $1\leq p\leq m$

Daniel Pellegrino, Gustavo Araujo

arxiv:1502.01522 v2 · 2015-02-05 · 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{J2J7DS64O65LHNAFFLS6XV5WFZ}

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	2026-05-18T01:31:29.976554Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e93f1cbdc77bab3b4052ae5ebd7b62e63293fdd3c52ff0bc5da64fccae6c47f

Aliases

arxiv: 1502.01522 · arxiv_version: 1502.01522v2 · doi: 10.48550/arxiv.1502.01522 · pith_short_12: J2J7DS64O65L · pith_short_16: J2J7DS64O65LHNAF · pith_short_8: J2J7DS64

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/J2J7DS64O65LHNAFFLS6XV5WFZ \
  | 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: 4e93f1cbdc77bab3b4052ae5ebd7b62e63293fdd3c52ff0bc5da64fccae6c47f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a03a80e73b82a171fd2709ca1002af564b50982c0792554e8f78f9583a7b0d2d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-02-05T12:37:23Z",
    "title_canon_sha256": "67370b88a08f41808df67c989949ad22946a31ea1e244f19656b3ac64b4dbf1e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.01522",
    "kind": "arxiv",
    "version": 2
  }
}