Pith Number

pith:XRL724GR

pith:2018:XRL724GRDDHASD2NKGTFM6VPRK

not attested not anchored not stored refs pending

Universal bounds for the Hardy--Littlewood inequalities on multilinear forms

Gustavo Ara\'ujo, Kleber C\^amara

arxiv:1803.01397 v1 · 2018-03-04 · 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{XRL724GRDDHASD2NKGTFM6VPRK}

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	2026-05-18T00:22:00.757011Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc57fd70d118ce090f4d51a6567aaf8a8475e512d5090315eb9d761ec37fb3f2

Aliases

arxiv: 1803.01397 · arxiv_version: 1803.01397v1 · doi: 10.48550/arxiv.1803.01397 · pith_short_12: XRL724GRDDHA · pith_short_16: XRL724GRDDHASD2N · pith_short_8: XRL724GR

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/XRL724GRDDHASD2NKGTFM6VPRK \
  | 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: bc57fd70d118ce090f4d51a6567aaf8a8475e512d5090315eb9d761ec37fb3f2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4779c3543f09d37080d94dea09ea5de8264116354b257094c349e29ab22b6091",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-03-04T18:23:07Z",
    "title_canon_sha256": "56905bd94a8f1528aa31b5f5bfb89596342f976a33a68c06e84520ff8bbd4f7e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.01397",
    "kind": "arxiv",
    "version": 1
  }
}