Pith Number

pith:BIU5DUZG

pith:2017:BIU5DUZGQIMDNORNYJWKXA44DG

not attested not anchored not stored refs pending

Multiplier conditions for Boundedness into Hardy spaces

Hanh Van Nguyen, Loukas Grafakos, Shohei Nakamura, Yoshihiro Sawano

arxiv:1702.08190 v1 · 2017-02-27 · 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{BIU5DUZGQIMDNORNYJWKXA44DG}

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	2026-05-18T00:49:55.670390Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0a29d1d326821836ba2dc26cab839c1999c33b215bf6ff544cb79018ec49ce24

Aliases

arxiv: 1702.08190 · arxiv_version: 1702.08190v1 · doi: 10.48550/arxiv.1702.08190 · pith_short_12: BIU5DUZGQIMD · pith_short_16: BIU5DUZGQIMDNORN · pith_short_8: BIU5DUZG

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/BIU5DUZGQIMDNORNYJWKXA44DG \
  | 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: 0a29d1d326821836ba2dc26cab839c1999c33b215bf6ff544cb79018ec49ce24

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e45c52950c6b97b52c108a9a6ac87741351c77eb1cf95574a27000791c91926e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-02-27T08:50:34Z",
    "title_canon_sha256": "bce625aad84c2d3ba806755b55ce899d8eccd0d9088ddb1ef0e53c8d6faf1d6a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.08190",
    "kind": "arxiv",
    "version": 1
  }
}