Pith Number

pith:7UTGOL5W

pith:2012:7UTGOL5WLW2AEXIV5HYIGFQOX2

not attested not anchored not stored refs pending

Operator-Like Wavelet Bases of $L_2(\mathbb{R}^d)$

Ildar Khalidov, John Paul Ward, Michael Unser

arxiv:1210.1808 v3 · 2012-10-05 · 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{7UTGOL5WLW2AEXIV5HYIGFQOX2}

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	2026-05-18T02:58:43.478759Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd26672fb65db4025d15e9f083160ebe9cde80bbfe4f30794e540aa0d8a78d98

Aliases

arxiv: 1210.1808 · arxiv_version: 1210.1808v3 · doi: 10.48550/arxiv.1210.1808 · pith_short_12: 7UTGOL5WLW2A · pith_short_16: 7UTGOL5WLW2AEXIV · pith_short_8: 7UTGOL5W

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/7UTGOL5WLW2AEXIV5HYIGFQOX2 \
  | 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: fd26672fb65db4025d15e9f083160ebe9cde80bbfe4f30794e540aa0d8a78d98

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e1a45f5378f93bda1519fa7803efd34371c9843cc79d7bd0003879a3e42f807",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-10-05T16:30:32Z",
    "title_canon_sha256": "f5e81993b82afbf5065a4f40592fd2c8d8f37d2aba71993b4288ce19e7282c18"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.1808",
    "kind": "arxiv",
    "version": 3
  }
}