Pith Number

pith:FL2QP2ZQ

pith:2011:FL2QP2ZQGY77W4AZEONCBOPJVS

not attested not anchored not stored refs pending

Orthonormal bases of regular wavelets in spaces of homogeneous type

Pascal Auscher (LM-Orsay), Tuomas Hyt\"onen

arxiv:1110.5766 v3 · 2011-10-26 · math.CA · math.FA · math.MG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FL2QP2ZQGY77W4AZEONCBOPJVS}

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	2026-05-18T03:57:00.324605Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2af507eb30363ffb7019239a20b9e9ac85292be780862dda20c8887d51c349de

Aliases

arxiv: 1110.5766 · arxiv_version: 1110.5766v3 · doi: 10.48550/arxiv.1110.5766 · pith_short_12: FL2QP2ZQGY77 · pith_short_16: FL2QP2ZQGY77W4AZ · pith_short_8: FL2QP2ZQ

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/FL2QP2ZQGY77W4AZEONCBOPJVS \
  | 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: 2af507eb30363ffb7019239a20b9e9ac85292be780862dda20c8887d51c349de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b497f682997ca173983d317b1e56a55d4bf451e2395af702cdf2ff527351ed55",
    "cross_cats_sorted": [
      "math.FA",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2011-10-26T11:30:49Z",
    "title_canon_sha256": "90c3bb880e168f5f22c8d73d645b4ddce3fad0966dd455feb728088d3387ca9e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.5766",
    "kind": "arxiv",
    "version": 3
  }
}