Pith Number

pith:4AGOJUER

pith:2012:4AGOJUERNIONFOK2A7N7NMCCJU

not attested not anchored not stored refs pending

Square functions and maximal operators associated with radial Fourier multipliers

Andreas Seeger, Keith M. Rogers, Sanghyuk Lee

arxiv:1207.6582 v1 · 2012-07-27 · 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{4AGOJUERNIONFOK2A7N7NMCCJU}

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	2026-05-18T01:16:54.880729Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e00ce4d0916a1cd2b95a07dbf6b0424d2d9625a4c94b565b5a5e23f0a7561133

Aliases

arxiv: 1207.6582 · arxiv_version: 1207.6582v1 · doi: 10.48550/arxiv.1207.6582 · pith_short_12: 4AGOJUERNION · pith_short_16: 4AGOJUERNIONFOK2 · pith_short_8: 4AGOJUER

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/4AGOJUERNIONFOK2A7N7NMCCJU \
  | 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: e00ce4d0916a1cd2b95a07dbf6b0424d2d9625a4c94b565b5a5e23f0a7561133

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3377411b2b6a6b06a66575ba3b937e55e276d64338c6a39618726f7976355f7b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-07-27T15:53:08Z",
    "title_canon_sha256": "c1e8e7cf35016bd25198edb6887aa8952fa9f74eca4d88e33d768d64d3d502e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.6582",
    "kind": "arxiv",
    "version": 1
  }
}