Pith Number

pith:U3RQ2PMO

pith:2010:U3RQ2PMO32VA2V2RBQ5XGMYA2N

not attested not anchored not stored refs pending

Optimal bounds on the modulus of continuity of the uncentered Hardy-Littlewood maximal function

J. M. Aldaz, J. P\'erez L\'azaro, L. Colzani

arxiv:1009.1359 v1 · 2010-09-07 · 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{U3RQ2PMO32VA2V2RBQ5XGMYA2N}

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	2026-05-18T04:41:15.663884Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a6e30d3d8edeaa0d57510c3b733300d37b7e558b4b01af2a8bf0eb9202bb4781

Aliases

arxiv: 1009.1359 · arxiv_version: 1009.1359v1 · doi: 10.48550/arxiv.1009.1359 · pith_short_12: U3RQ2PMO32VA · pith_short_16: U3RQ2PMO32VA2V2R · pith_short_8: U3RQ2PMO

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/U3RQ2PMO32VA2V2RBQ5XGMYA2N \
  | 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: a6e30d3d8edeaa0d57510c3b733300d37b7e558b4b01af2a8bf0eb9202bb4781

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8197e240307e4dba8d7f929d1618c43e2f729a33bd469e6937ecb0803e7b2b5f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2010-09-07T18:53:57Z",
    "title_canon_sha256": "2de1b287ddff61a3636b2180ef4f8a4ddc3350237055d7940ac6906a83f86907"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.1359",
    "kind": "arxiv",
    "version": 1
  }
}