Pith Number

pith:R2BYHO55

pith:2013:R2BYHO553JIQKYNNV7P2EEJOAI

not attested not anchored not stored refs pending

Optimal control of singular Fourier multipliers by maximal operators

Jonathan Bennett

arxiv:1306.1055 v1 · 2013-06-05 · 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{R2BYHO553JIQKYNNV7P2EEJOAI}

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	2026-05-18T01:22:25.283796Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8e8383bbbdda510561adafdfa2112e020bbd69ba3d1b856df63d782cd59e5ed7

Aliases

arxiv: 1306.1055 · arxiv_version: 1306.1055v1 · doi: 10.48550/arxiv.1306.1055 · pith_short_12: R2BYHO553JIQ · pith_short_16: R2BYHO553JIQKYNN · pith_short_8: R2BYHO55

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/R2BYHO553JIQKYNNV7P2EEJOAI \
  | 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: 8e8383bbbdda510561adafdfa2112e020bbd69ba3d1b856df63d782cd59e5ed7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "07e37e1f757b794f8b3b7ee6fbc2358da6c38f06fc6013e8259ec2d846edd4f5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-06-05T10:59:46Z",
    "title_canon_sha256": "f81e4e64ab9fc638d4d344717a0b9e80e553166722fc4dba01d5d214db7d69ab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.1055",
    "kind": "arxiv",
    "version": 1
  }
}