Pith Number

pith:YOLKKW25

pith:2018:YOLKKW25QZJILOEC6VYTQT44ZN

not attested not anchored not stored refs pending

Endpoint sparse bounds for Walsh-Fourier multipliers of Marcinkiewicz type

Amalia Culiuc, Francesco Di Plinio, Michael Lacey, Wei Chen, Yumeng Ou

arxiv:1805.06060 v4 · 2018-05-15 · 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{YOLKKW25QZJILOEC6VYTQT44ZN}

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	2026-05-17T23:45:09.849170Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c396a55b5d865285b882f571384f9ccb78b8247eeb69f0e79a156a86580e6a3d

Aliases

arxiv: 1805.06060 · arxiv_version: 1805.06060v4 · doi: 10.48550/arxiv.1805.06060 · pith_short_12: YOLKKW25QZJI · pith_short_16: YOLKKW25QZJILOEC · pith_short_8: YOLKKW25

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/YOLKKW25QZJILOEC6VYTQT44ZN \
  | 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: c396a55b5d865285b882f571384f9ccb78b8247eeb69f0e79a156a86580e6a3d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "28ff6b7fd7bf4016cb22c6d84d3208282c0b64db11bbb712bd2c46bae2f19d7f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2018-05-15T22:49:15Z",
    "title_canon_sha256": "0aecf37586d76c67970a171fcf359650303d89bbd7aa92828f9472a9ed062009"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.06060",
    "kind": "arxiv",
    "version": 4
  }
}