Pith Number

pith:PKF5HTQQ

pith:2020:PKF5HTQQU3LOMSVNLU53DDJ567

not attested not anchored not stored refs pending

Maximal Function Characterizations of Hardy Spaces on ${\mathbb{R}}^{n}$ with Pointwise Variable Anisotropy

Aiting Wang, Baode Li, Wenhua Wang, Xinping Wang

arxiv:2007.14211 v2 · 2020-07-28 · 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{PKF5HTQQU3LOMSVNLU53DDJ567}

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	2026-07-05T02:08:30.979271Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a8bd3ce10a6d6e64aad5d3bb18d3df7ded12291659603d7220c7e50c32a0e0e

Aliases

arxiv: 2007.14211 · arxiv_version: 2007.14211v2 · doi: 10.48550/arxiv.2007.14211 · pith_short_12: PKF5HTQQU3LO · pith_short_16: PKF5HTQQU3LOMSVN · pith_short_8: PKF5HTQQ

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/PKF5HTQQU3LOMSVNLU53DDJ567 \
  | 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: 7a8bd3ce10a6d6e64aad5d3bb18d3df7ded12291659603d7220c7e50c32a0e0e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a004c65eac08899d0f37a606e02cb9f7a60b549ef315216102cdf74c2ec420d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2020-07-28T13:40:42Z",
    "title_canon_sha256": "433c9538494c92e3d7e57e8d116832cd0fa8ca3bd08a528d040bae3eefa17907"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2007.14211",
    "kind": "arxiv",
    "version": 2
  }
}