Pith Number

pith:E66VPWWP

pith:2024:E66VPWWPM7YK265L6CZW7VRYMK

not attested not anchored not stored refs pending

Spherical maximal operators with fractal sets of dilations on radial functions

Andreas Seeger, David Beltran, Joris Roos

arxiv:2412.09390 v2 · 2024-12-12 · 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{E66VPWWPM7YK265L6CZW7VRYMK}

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

2 papers in Pith

On the Marstrand projection theorem for the Assouad spectrum

Problems on spherical maximal functions

Receipt and verification

First computed	2026-06-23T03:13:44.188289Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

27bd57dacf67f0ad7babf0b36fd63862866bc2477924b80a9f4b57880e506665

Aliases

arxiv: 2412.09390 · arxiv_version: 2412.09390v2 · doi: 10.48550/arxiv.2412.09390 · pith_short_12: E66VPWWPM7YK · pith_short_16: E66VPWWPM7YK265L · pith_short_8: E66VPWWP

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/E66VPWWPM7YK265L6CZW7VRYMK \
  | 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: 27bd57dacf67f0ad7babf0b36fd63862866bc2477924b80a9f4b57880e506665

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "09ff92cead2fc3474f8c957d09861403885c796c2a2e7fb0075b446ef43d2596",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2024-12-12T15:58:03Z",
    "title_canon_sha256": "4f9e5454562857f34332d53ec0d7dfb19b4717f546f12b20e6fecf450c4c135e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.09390",
    "kind": "arxiv",
    "version": 2
  }
}