Pith Number

pith:6LLCS5J4

pith:2019:6LLCS5J4CCQRFRZOHWGKCTXIIC

not attested not anchored not stored refs pending

A new approach to norm inequalities on weighted and variable Hardy spaces

David Cruz-Uribe, Hanh Nguyen, Kabe Moen

arxiv:1902.01519 v2 · 2019-02-05 · math.CA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6LLCS5J4CCQRFRZOHWGKCTXIIC}

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	2026-05-17T23:54:21.575595Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f2d629753c10a112c72e3d8ca14ee84084058697cf0f55e1a8161fe9d4f0fc2b

Aliases

arxiv: 1902.01519 · arxiv_version: 1902.01519v2 · doi: 10.48550/arxiv.1902.01519 · pith_short_12: 6LLCS5J4CCQR · pith_short_16: 6LLCS5J4CCQRFRZO · pith_short_8: 6LLCS5J4

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/6LLCS5J4CCQRFRZOHWGKCTXIIC \
  | 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: f2d629753c10a112c72e3d8ca14ee84084058697cf0f55e1a8161fe9d4f0fc2b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e0e1e270c5961429fcae6c1aed2519ae01590e60ebd67f264fbb42fec48f9283",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2019-02-05T01:57:31Z",
    "title_canon_sha256": "0bc7f1de71493cb1035899306e723be83fb1a2014df9cd4d6629e306f4267a2b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.01519",
    "kind": "arxiv",
    "version": 2
  }
}