Pith Number

pith:47X6X3EM

pith:2015:47X6X3EMMIAICNB3MHMTMSFWJO

not attested not anchored not stored refs pending

Hardy space theory on spaces of homogeneous type via orthonormal wavelet bases

Ji Li, Lesley Ward, Yongsheng Han

arxiv:1507.07187 v1 · 2015-07-26 · 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{47X6X3EMMIAICNB3MHMTMSFWJO}

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	2026-05-18T00:12:50.987911Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e7efebec8c620081343b61d93648b64ba2b76a1871519610472ba8eb7ea747a8

Aliases

arxiv: 1507.07187 · arxiv_version: 1507.07187v1 · doi: 10.48550/arxiv.1507.07187 · pith_short_12: 47X6X3EMMIAI · pith_short_16: 47X6X3EMMIAICNB3 · pith_short_8: 47X6X3EM

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/47X6X3EMMIAICNB3MHMTMSFWJO \
  | 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: e7efebec8c620081343b61d93648b64ba2b76a1871519610472ba8eb7ea747a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "47cf22105e243d3e4b2f7ddd5ebd1f675d92cc1283f813991fc86e049c19e205",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-07-26T11:12:43Z",
    "title_canon_sha256": "e4e0319cd2ea5dd2d0af1acd2ed2fa6686a53707b1441c7df304b50391ad5b23"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.07187",
    "kind": "arxiv",
    "version": 1
  }
}