Pith Number

pith:KXW5ZNUK

pith:2014:KXW5ZNUKROACBRMKHAESMBENGV

not attested not anchored not stored refs pending

Discrete maximal functions in higher dimensions and applications to ergodic theory

Bartosz Trojan, Mariusz Mirek

arxiv:1405.5566 v1 · 2014-05-21 · 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{KXW5ZNUKROACBRMKHAESMBENGV}

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	2026-05-18T02:51:16.393392Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

55eddcb68a8b8020c58a380926048d3547e6aac262a6059ffe17618e50f52a6c

Aliases

arxiv: 1405.5566 · arxiv_version: 1405.5566v1 · doi: 10.48550/arxiv.1405.5566 · pith_short_12: KXW5ZNUKROAC · pith_short_16: KXW5ZNUKROACBRMK · pith_short_8: KXW5ZNUK

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/KXW5ZNUKROACBRMKHAESMBENGV \
  | 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: 55eddcb68a8b8020c58a380926048d3547e6aac262a6059ffe17618e50f52a6c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dae290ae5f939bd8f98af2375e76180a169c65837a38fb126aca9f1365010598",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2014-05-21T22:11:16Z",
    "title_canon_sha256": "eb49d83717044cff2edf30b79b9081efc8c6ceedb596f3b0d3b70f5c8c677f71"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.5566",
    "kind": "arxiv",
    "version": 1
  }
}