Pith Number

pith:CLIR2SH3

pith:2019:CLIR2SH3G3X7NK4NOZ7AP2432W

not attested not anchored not stored refs pending

Lower bounds for the centered Hardy-Littlewood maximal operator on the real line

F.J. P\'erez L\'azaro

arxiv:1908.08425 v2 · 2019-08-22 · 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{CLIR2SH3G3X7NK4NOZ7AP2432W}

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	2026-07-05T00:38:46.089647Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

12d11d48fb36eff6ab8d767e07eb9bd59ac253a644aa617fe302cab66db5779e

Aliases

arxiv: 1908.08425 · arxiv_version: 1908.08425v2 · doi: 10.48550/arxiv.1908.08425 · pith_short_12: CLIR2SH3G3X7 · pith_short_16: CLIR2SH3G3X7NK4N · pith_short_8: CLIR2SH3

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/CLIR2SH3G3X7NK4NOZ7AP2432W \
  | 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: 12d11d48fb36eff6ab8d767e07eb9bd59ac253a644aa617fe302cab66db5779e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a32e28802f4838492fa83a3c8350820982c07fd8ff5c56787f61af6408db0ac1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2019-08-22T15:02:45Z",
    "title_canon_sha256": "8d897da8b9650bfbd586d5c43c27a873e898cada5c390bad9081b8e7cc819429"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.08425",
    "kind": "arxiv",
    "version": 2
  }
}