Pith Number

pith:AT7XTGN7

pith:2008:AT7XTGN7ES2QYO6LSWCLJ23UEV

not attested not anchored not stored refs pending

The weak type $(1,1)$ bounds for the maximal function associated to cubes grow to infinity with the dimension

J. M. Aldaz

arxiv:0805.1565 v5 · 2008-05-11 · 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{AT7XTGN7ES2QYO6LSWCLJ23UEV}

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	2026-05-18T04:18:33.359957Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04ff7999bf24b50c3bcb9584b4eb74255f4c71d4af59e62cd9b7a009afa9c057

Aliases

arxiv: 0805.1565 · arxiv_version: 0805.1565v5 · doi: 10.48550/arxiv.0805.1565 · pith_short_12: AT7XTGN7ES2Q · pith_short_16: AT7XTGN7ES2QYO6L · pith_short_8: AT7XTGN7

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/AT7XTGN7ES2QYO6LSWCLJ23UEV \
  | 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: 04ff7999bf24b50c3bcb9584b4eb74255f4c71d4af59e62cd9b7a009afa9c057

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f4d257f376a9998bc8266905d8ab29c8b5b9003c42552d73f150dfb820ca1e70",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2008-05-11T22:21:13Z",
    "title_canon_sha256": "1d5f667dc27150297211ea10a2dad3d3b71362162766bf7be9b26cd479fc17da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0805.1565",
    "kind": "arxiv",
    "version": 5
  }
}