Pith Number

pith:ZWKALPLL

pith:2024:ZWKALPLL66QQPZ2C7LA7MJBCWR

not attested not anchored not stored refs pending

Spherical maximal estimates via geometry

Aj\v{s}a Jan\v{c}ar, Jonathan Hickman

arxiv:2412.13315 v1 · 2024-12-17 · 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{ZWKALPLL66QQPZ2C7LA7MJBCWR}

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.

Cited by

1 paper in Pith

Improved $L^p$ bounds for the strong spherical maximal operator

Receipt and verification

First computed	2026-07-05T09:50:59.605657Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd9405bd6bf7a107e742fac1f62422b455752fc559a829c17725d4f9913f8662

Aliases

arxiv: 2412.13315 · arxiv_version: 2412.13315v1 · doi: 10.48550/arxiv.2412.13315 · pith_short_12: ZWKALPLL66QQ · pith_short_16: ZWKALPLL66QQPZ2C · pith_short_8: ZWKALPLL

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/ZWKALPLL66QQPZ2C7LA7MJBCWR \
  | 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: cd9405bd6bf7a107e742fac1f62422b455752fc559a829c17725d4f9913f8662

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a610241df5c84dc661c64649085b8552f64c42f2d4e82283611dda7f0af2ca54",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2024-12-17T20:30:51Z",
    "title_canon_sha256": "0f69111fd647f0e4cf97a9ae244bb929a15062485336366d0d6ea2d890274475"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.13315",
    "kind": "arxiv",
    "version": 1
  }
}