Pith Number

pith:4R3A4OLP

pith:2018:4R3A4OLPM6KX3ZGM56XO6YONJH

not attested not anchored not stored refs pending

A Bound on the Rate of Convergence in the Central Limit Theorem for Renewal Processes under Second Moment Conditions

Ce Yang, Gesine Reinert

arxiv:1807.08672 v1 · 2018-07-23 · 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{4R3A4OLPM6KX3ZGM56XO6YONJH}

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	2026-05-18T00:10:05.059879Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4760e396f67957de4ccefaeef61cd49fd0ef50d189b1caf982381aaf6901129

Aliases

arxiv: 1807.08672 · arxiv_version: 1807.08672v1 · doi: 10.48550/arxiv.1807.08672 · pith_short_12: 4R3A4OLPM6KX · pith_short_16: 4R3A4OLPM6KX3ZGM · pith_short_8: 4R3A4OLP

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/4R3A4OLPM6KX3ZGM56XO6YONJH \
  | 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: e4760e396f67957de4ccefaeef61cd49fd0ef50d189b1caf982381aaf6901129

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "39cb2b16500d16dc102284c593c7cccba07417fdc2c319ec42f1cde584e61ef9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-07-23T15:20:10Z",
    "title_canon_sha256": "b96820f6db5ed7546d2bddfb6d546c825ae50271afa3e0ca6c58e2f74a878e48"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.08672",
    "kind": "arxiv",
    "version": 1
  }
}