Pith Number

pith:ZHJAYKGY

pith:2019:ZHJAYKGY2YFBFJQAIA5OVXJXPQ

not attested not anchored not stored refs pending

Sharp anisotropic Hardy--Littlewood inequality for positive multilinear forms

Daniel Marinho Pellegrino, Daniel N\'u\~nez Alarc\'on, Diana Marcela Serrano Rodr\'iguez

arxiv:1903.12244 v1 · 2019-03-28 · 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{ZHJAYKGY2YFBFJQAIA5OVXJXPQ}

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	2026-05-17T23:49:54.487003Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9d20c28d8d60a12a600403aeadd377c0e75711c69532ff029a482af337bf136

Aliases

arxiv: 1903.12244 · arxiv_version: 1903.12244v1 · doi: 10.48550/arxiv.1903.12244 · pith_short_12: ZHJAYKGY2YFB · pith_short_16: ZHJAYKGY2YFBFJQA · pith_short_8: ZHJAYKGY

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/ZHJAYKGY2YFBFJQAIA5OVXJXPQ \
  | 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: c9d20c28d8d60a12a600403aeadd377c0e75711c69532ff029a482af337bf136

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f4c030ae67d1195571d31dd22044c5c676afda19c108313b4f4dd5a4f2a6f5e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2019-03-28T20:09:38Z",
    "title_canon_sha256": "d9108e9b4edf8b653ae1fc05fa723a9b0a50efdd9e23e616e77e9a855efcdea6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.12244",
    "kind": "arxiv",
    "version": 1
  }
}