Pith Number

pith:QYO7UADB

pith:2014:QYO7UADB5YWSHORDAX7P3GN3BA

not attested not anchored not stored refs pending

$\ell^p(\mathbb{Z})$ -- boundedness of discrete maximal functions along thin subsets of primes and pointwise ergodic theorems

Mariusz Mirek

arxiv:1401.1361 v2 · 2014-01-07 · 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{QYO7UADB5YWSHORDAX7P3GN3BA}

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	2026-05-18T03:01:01.958873Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

861dfa0061ee2d23ba2305fefd99bb0809f7c4a09746a2d3dbffe72d7912501b

Aliases

arxiv: 1401.1361 · arxiv_version: 1401.1361v2 · doi: 10.48550/arxiv.1401.1361 · pith_short_12: QYO7UADB5YWS · pith_short_16: QYO7UADB5YWSHORD · pith_short_8: QYO7UADB

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/QYO7UADB5YWSHORDAX7P3GN3BA \
  | 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: 861dfa0061ee2d23ba2305fefd99bb0809f7c4a09746a2d3dbffe72d7912501b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a431ad0e843febd29685c470e19367847b7dd68630980e20ca32f137883e54c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2014-01-07T13:05:19Z",
    "title_canon_sha256": "8fe94d600df3fd152972780bd5d438ed437c8b18e9b9c13c28c83f40ee362168"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.1361",
    "kind": "arxiv",
    "version": 2
  }
}