Pith Number

pith:YQXB5CPQ

pith:2011:YQXB5CPQJIDB3G2NFDDUSIDBUE

not attested not anchored not stored refs pending

Twin problems from the Monthly and the Stolz-Cesaro Lemma

Eugen J. Ionascu

arxiv:1101.3278 v1 · 2011-01-17 · 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{YQXB5CPQJIDB3G2NFDDUSIDBUE}

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	2026-05-18T04:31:30.232510Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c42e1e89f04a061d9b4d28c7492061a12404876bb7421328f5bc47e1379495ca

Aliases

arxiv: 1101.3278 · arxiv_version: 1101.3278v1 · doi: 10.48550/arxiv.1101.3278 · pith_short_12: YQXB5CPQJIDB · pith_short_16: YQXB5CPQJIDB3G2N · pith_short_8: YQXB5CPQ

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/YQXB5CPQJIDB3G2NFDDUSIDBUE \
  | 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: c42e1e89f04a061d9b4d28c7492061a12404876bb7421328f5bc47e1379495ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e0db30a23dcac0bb48465fd318b2ef367bc7a73c9abbae888ddb7500147c518",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2011-01-17T17:44:57Z",
    "title_canon_sha256": "892d411e05f25732b6d1ca1d56891c94aaf98a20b1f30dad9805a3ac453401dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.3278",
    "kind": "arxiv",
    "version": 1
  }
}