Pith Number

pith:A4ZFVZOJ

pith:2017:A4ZFVZOJ7DIQBMRBOLYD6VLOP5

not attested not anchored not stored refs pending

Equivalence of Littlewood-Paley square function and area function characterizations of weighted product Hardy spaces associated to operators

Guorong Hu, Ji Li, Xuan Thinh Duong

arxiv:1706.05803 v1 · 2017-06-19 · 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{A4ZFVZOJ7DIQBMRBOLYD6VLOP5}

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	2026-05-18T00:42:08.846573Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

07325ae5c9f8d100b22172f03f556e7f54467f5ed4ad13dba61e6cebb3e2b8c9

Aliases

arxiv: 1706.05803 · arxiv_version: 1706.05803v1 · doi: 10.48550/arxiv.1706.05803 · pith_short_12: A4ZFVZOJ7DIQ · pith_short_16: A4ZFVZOJ7DIQBMRB · pith_short_8: A4ZFVZOJ

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/A4ZFVZOJ7DIQBMRBOLYD6VLOP5 \
  | 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: 07325ae5c9f8d100b22172f03f556e7f54467f5ed4ad13dba61e6cebb3e2b8c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf595bc5c6c8ac21a2da47ea04fb954a4081068c346f1b19784ea4c49c919ab2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2017-06-19T06:55:20Z",
    "title_canon_sha256": "1279d8c6309723fe35732434b1e443b75dd25f884a2fd66a9e70ea0e442fc68b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.05803",
    "kind": "arxiv",
    "version": 1
  }
}