Pith Number

pith:4O5ONNTQ

pith:2015:4O5ONNTQLJUICINFOKISWPBRPL

not attested not anchored not stored refs pending

Products of Functions in ${\mathop\mathrm{BMO}}({\mathcal X})$ and $H^1_{\rm at}({\mathcal X})$ via Wavelets over Spaces of Homogeneous Type

Dachun Yang, Xing Fu, Yiyu Liang

arxiv:1506.05910 v3 · 2015-06-19 · math.CA · 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{4O5ONNTQLJUICINFOKISWPBRPL}

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	2026-05-18T01:33:00.140420Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3bae6b6705a688121a572912b3c317ad270d40e51f0e9f7b056b99eccb382ce

Aliases

arxiv: 1506.05910 · arxiv_version: 1506.05910v3 · doi: 10.48550/arxiv.1506.05910 · pith_short_12: 4O5ONNTQLJUI · pith_short_16: 4O5ONNTQLJUICINF · pith_short_8: 4O5ONNTQ

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/4O5ONNTQLJUICINFOKISWPBRPL \
  | 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: e3bae6b6705a688121a572912b3c317ad270d40e51f0e9f7b056b99eccb382ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "71de1ed6433ca05d1d4937f9ba0b89ea7e069ba99157231a646e0e262f2af6fd",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-06-19T08:35:31Z",
    "title_canon_sha256": "2eae208cd1dfd549d84c0d7243bd28dcc8d5088dd9869ed50031e633f00039ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.05910",
    "kind": "arxiv",
    "version": 3
  }
}