Pith Number

pith:UWIL3UFM

pith:2013:UWIL3UFMYNN3HXKL23JNFV5ZDJ

not attested not anchored not stored refs pending

On almost everywhere convergence of strong arithmetic means of Fourier series

Bobby Wilson

arxiv:1304.3512 v1 · 2013-04-12 · 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{UWIL3UFMYNN3HXKL23JNFV5ZDJ}

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	2026-05-18T03:28:07.528226Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a590bdd0acc35bb3dd4bd6d2d2d7b91a4694167eb5e0e7332cc52af44d93f657

Aliases

arxiv: 1304.3512 · arxiv_version: 1304.3512v1 · doi: 10.48550/arxiv.1304.3512 · pith_short_12: UWIL3UFMYNN3 · pith_short_16: UWIL3UFMYNN3HXKL · pith_short_8: UWIL3UFM

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/UWIL3UFMYNN3HXKL23JNFV5ZDJ \
  | 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: a590bdd0acc35bb3dd4bd6d2d2d7b91a4694167eb5e0e7332cc52af44d93f657

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "01cb2d47bd60b3c89f4bd021e6183d48207c6344d8553c466ee92d4ea1ec8e69",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-04-12T00:23:55Z",
    "title_canon_sha256": "394b4d7df54650801ac3a41e42cc068bc8be2afc16287348ec1a20fac149caee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.3512",
    "kind": "arxiv",
    "version": 1
  }
}