Pith Number

pith:2JZSWEMZ

pith:2005:2JZSWEMZPDT2QKD2FFJ6M3OXZE

not attested not anchored not stored refs pending

Dimension dependency of the weak type $(1,1)$ bounds for maximal functions associated to finite radial measures

J. M. Aldaz

arxiv:math/0504240 v2 · 2005-04-12 · 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{2JZSWEMZPDT2QKD2FFJ6M3OXZE}

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	2026-05-18T04:40:21.831508Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d2732b119978e7a8287a2953e66dd7c90e33fc1b31f13faefaacfb38f5e2aab7

Aliases

arxiv: math/0504240 · arxiv_version: math/0504240v2 · doi: 10.48550/arxiv.math/0504240 · pith_short_12: 2JZSWEMZPDT2 · pith_short_16: 2JZSWEMZPDT2QKD2 · pith_short_8: 2JZSWEMZ

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/2JZSWEMZPDT2QKD2FFJ6M3OXZE \
  | 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: d2732b119978e7a8287a2953e66dd7c90e33fc1b31f13faefaacfb38f5e2aab7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "529a69e33e4ac57fbac8ec996f94bb43e51efacaddd686a40127dcd14e3cd996",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CA",
    "submitted_at": "2005-04-12T12:12:51Z",
    "title_canon_sha256": "b05f065dace71f1ad9c7018212b20b76bd72532fafe160d8c698e527524f780e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0504240",
    "kind": "arxiv",
    "version": 2
  }
}