Pith Number

pith:CKLQAHCZ

pith:2013:CKLQAHCZJKZAHRMYGBC7H5CU3B

not attested not anchored not stored refs pending

Weak type (1, 1) inequalities for discrete rough maximal functions

Mariusz Mirek

arxiv:1305.0575 v2 · 2013-05-02 · 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{CKLQAHCZJKZAHRMYGBC7H5CU3B}

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	2026-05-18T02:54:30.790438Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1297001c594ab203c5983045f3f454d871d277369a874e8f3fffabcd64902dab

Aliases

arxiv: 1305.0575 · arxiv_version: 1305.0575v2 · doi: 10.48550/arxiv.1305.0575 · pith_short_12: CKLQAHCZJKZA · pith_short_16: CKLQAHCZJKZAHRMY · pith_short_8: CKLQAHCZ

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/CKLQAHCZJKZAHRMYGBC7H5CU3B \
  | 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: 1297001c594ab203c5983045f3f454d871d277369a874e8f3fffabcd64902dab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "25a8cf6ab535b1edf13e90ec8f6c42e83ddac8e06bd69356ea9f36564b58c03d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-05-02T20:38:30Z",
    "title_canon_sha256": "c4137d4e4c84848e434a9d342319b123a18df0d9bed1cd9c8b3dbe5ff2e340a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.0575",
    "kind": "arxiv",
    "version": 2
  }
}