Pith Number

pith:OPRHSGSC

pith:2022:OPRHSGSC33LOE34VPAEIRVWZTM

not attested not anchored not stored refs pending

Riesz Transform Characterization of Hardy Spaces Associated with Ball Quasi-Banach Function Spaces

Dachun Yang, Fan Wang, Wen Yuan

arxiv:2208.10309 v1 · 2022-08-22 · math.FA · math.AP · 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{OPRHSGSC33LOE34VPAEIRVWZTM}

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	2026-07-05T04:50:27.468556Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73e2791a42ded6e26f95780888d6d99b1be11d7fd16e3798e7a051563fece664

Aliases

arxiv: 2208.10309 · arxiv_version: 2208.10309v1 · doi: 10.48550/arxiv.2208.10309 · pith_short_12: OPRHSGSC33LO · pith_short_16: OPRHSGSC33LOE34V · pith_short_8: OPRHSGSC

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/OPRHSGSC33LOE34VPAEIRVWZTM \
  | 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: 73e2791a42ded6e26f95780888d6d99b1be11d7fd16e3798e7a051563fece664

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bdb0e8171e956d3f46502503d949d308273c137d9bfd66d5e9c3cd88dbbddec7",
    "cross_cats_sorted": [
      "math.AP",
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2022-08-22T13:41:40Z",
    "title_canon_sha256": "0c309fb3d497c8c8b65747094be1279dd6eda319517438fbb4175934df313794"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2208.10309",
    "kind": "arxiv",
    "version": 1
  }
}