Pith Number

pith:UKUANX2F

pith:2017:UKUANX2FPONIBTPBEHJGFPQS7Z

not attested not anchored not stored refs pending

Weighted Hardy spaces associated with elliptic operators. Part III: Characterizations of $H_L^{p}(w)$ and the weighted Hardy space associated with the Riesz transform

Cruz Prisuelos-Arribas

arxiv:1702.04648 v2 · 2017-02-15 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UKUANX2FPONIBTPBEHJGFPQS7Z}

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	2026-05-18T00:26:51.802508Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a2a806df457b9a80cde121d262be12fe67dbebd152bb349d3b35d3bf712f49f7

Aliases

arxiv: 1702.04648 · arxiv_version: 1702.04648v2 · doi: 10.48550/arxiv.1702.04648 · pith_short_12: UKUANX2FPONI · pith_short_16: UKUANX2FPONIBTPB · pith_short_8: UKUANX2F

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/UKUANX2FPONIBTPBEHJGFPQS7Z \
  | 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: a2a806df457b9a80cde121d262be12fe67dbebd152bb349d3b35d3bf712f49f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca05587bcd44d697ed82bc4e34174b1822a1d3fef3b169c93d27c9366a1affce",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-02-15T15:18:49Z",
    "title_canon_sha256": "7eabd852e30998ebb8d2cace08e0c08a6469292090ec6caf1130d43908f34412"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.04648",
    "kind": "arxiv",
    "version": 2
  }
}