Pith Number

pith:UAI76XSD

pith:2018:UAI76XSD2ZGKF3D6UUKFRBQUFQ

not attested not anchored not stored refs pending

Atomic decomposition of product Hardy spaces via wavelet bases on spaces of homogeneous type

Ji Li, Lesley A. Ward, M. Cristina Pereyra, Yongsheng Han

arxiv:1810.03788 v2 · 2018-10-09 · 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{UAI76XSD2ZGKF3D6UUKFRBQUFQ}

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	2026-05-18T00:02:48.942456Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a011ff5e43d64ca2ec7ea5145886142c2054ddecc161cde3d5dd86329b47d39a

Aliases

arxiv: 1810.03788 · arxiv_version: 1810.03788v2 · doi: 10.48550/arxiv.1810.03788 · pith_short_12: UAI76XSD2ZGK · pith_short_16: UAI76XSD2ZGKF3D6 · pith_short_8: UAI76XSD

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/UAI76XSD2ZGKF3D6UUKFRBQUFQ \
  | 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: a011ff5e43d64ca2ec7ea5145886142c2054ddecc161cde3d5dd86329b47d39a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c4c6f48b6958bd1555abd5ebc064caa3ffcdb848602a03d164c7367b7195562b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2018-10-09T03:10:17Z",
    "title_canon_sha256": "69dbebf640e07da3b8a27c372f823bcb849fdb29eae2a6c27cf3433eb7d0e0d1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.03788",
    "kind": "arxiv",
    "version": 2
  }
}