Pith Number

pith:KAXBAKRJ

pith:2012:KAXBAKRJWRVGN4SRELVIU5EBOC

not attested not anchored not stored refs pending

Pointwise convergence of vector-valued Fourier series

Michael T. Lacey, Tuomas P. Hyt\"onen

arxiv:1205.0261 v1 · 2012-05-01 · math.FA · 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{KAXBAKRJWRVGN4SRELVIU5EBOC}

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	2026-05-18T01:34:30.309638Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

502e102a29b46a66f25122ea8a748170b4048b172852035d784a9d5624b9e207

Aliases

arxiv: 1205.0261 · arxiv_version: 1205.0261v1 · doi: 10.48550/arxiv.1205.0261 · pith_short_12: KAXBAKRJWRVG · pith_short_16: KAXBAKRJWRVGN4SR · pith_short_8: KAXBAKRJ

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/KAXBAKRJWRVGN4SRELVIU5EBOC \
  | 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: 502e102a29b46a66f25122ea8a748170b4048b172852035d784a9d5624b9e207

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "547e32f2b1fe33ae1f6aa5053753f6c3167b4bd82285b963ebb48a5cda131dc0",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-05-01T20:55:40Z",
    "title_canon_sha256": "1eeeee919dcdb9072e9504405866060092be566fd850b1b1b8fa47b9007c3de7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.0261",
    "kind": "arxiv",
    "version": 1
  }
}