Pith Number

pith:MMMRX2T2

pith:2026:MMMRX2T2HA5JXVBCQUDAPPJOLL

not attested not anchored not stored refs pending

Pointwise Convergence of Ergodic Averages Along Integer Cantor Sets

Alex Iosevich, Ben Krause, F\'elix Brokering Pinilla

arxiv:2607.16064 v1 · 2026-07-17 · math.DS · math.CA · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MMMRX2T2HA5JXVBCQUDAPPJOLL}

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	2026-07-20T02:19:29.050367Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

63191bea7a383a9bd422850607bd2e5ad764b5ffcaf09916381ff3cf3825e7d4

Aliases

arxiv: 2607.16064 · arxiv_version: 2607.16064v1 · doi: 10.48550/arxiv.2607.16064 · pith_short_12: MMMRX2T2HA5J · pith_short_16: MMMRX2T2HA5JXVBC · pith_short_8: MMMRX2T2

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/MMMRX2T2HA5JXVBCQUDAPPJOLL \
  | 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: 63191bea7a383a9bd422850607bd2e5ad764b5ffcaf09916381ff3cf3825e7d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b22e99dec9fe48514ee548d1a3381ddfbd1694c1ab270a7b3defb2359dfe654",
    "cross_cats_sorted": [
      "math.CA",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2026-07-17T15:44:52Z",
    "title_canon_sha256": "3180fbf6c3902dd13616136c8f94245aa846267d6f6cc50b758a6cd34c6ff86f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.16064",
    "kind": "arxiv",
    "version": 1
  }
}