Pith Number

pith:X2O7A3JN

pith:2018:X2O7A3JN74EUT3AVGLI6RLTEFG

not attested not anchored not stored refs pending

Maximal restriction estimates and the maximal function of the Fourier transform

Jo\~ao P. G. Ramos

arxiv:1810.06971 v1 · 2018-10-16 · 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{X2O7A3JN74EUT3AVGLI6RLTEFG}

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	2026-05-18T00:03:10.892557Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be9df06d2dff0949ec1532d1e8ae64299761cefc4bd2968c0a560e57cfb79256

Aliases

arxiv: 1810.06971 · arxiv_version: 1810.06971v1 · doi: 10.48550/arxiv.1810.06971 · pith_short_12: X2O7A3JN74EU · pith_short_16: X2O7A3JN74EUT3AV · pith_short_8: X2O7A3JN

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/X2O7A3JN74EUT3AVGLI6RLTEFG \
  | 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: be9df06d2dff0949ec1532d1e8ae64299761cefc4bd2968c0a560e57cfb79256

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9956457c0993079128643e2dce91556342c1c32e682777c10a79340c6c5abf70",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2018-10-16T13:15:11Z",
    "title_canon_sha256": "8c944a4c6c3c5cf36c44951d6e12ead8ebfca249cf02c0b0c318833b2200b401"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.06971",
    "kind": "arxiv",
    "version": 1
  }
}