Pith Number

pith:ZYN6XWXX

pith:2015:ZYN6XWXX7AQ54QDR2P2HJQ7PPN

not attested not anchored not stored refs pending

Strong renewal theorems with infinite mean beyond local large deviations

Zhiyi Chi

arxiv:1505.07622 v1 · 2015-05-28 · 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{ZYN6XWXX7AQ54QDR2P2HJQ7PPN}

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	2026-05-18T02:00:57.876332Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce1bebdaf7f821de4071d3f474c3ef7b61a80c3e2997dcb1d25f7b8a069c166b

Aliases

arxiv: 1505.07622 · arxiv_version: 1505.07622v1 · doi: 10.48550/arxiv.1505.07622 · pith_short_12: ZYN6XWXX7AQ5 · pith_short_16: ZYN6XWXX7AQ54QDR · pith_short_8: ZYN6XWXX

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/ZYN6XWXX7AQ54QDR2P2HJQ7PPN \
  | 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: ce1bebdaf7f821de4071d3f474c3ef7b61a80c3e2997dcb1d25f7b8a069c166b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c1b69dfeefeff6ab2d550662fb272c9703b9c6e943425089d3889d67edccced",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-05-28T10:05:06Z",
    "title_canon_sha256": "cf2085b9f50657074568b45d2f8bb543703ac47ea830f9f009d8dc4ae9793319"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.07622",
    "kind": "arxiv",
    "version": 1
  }
}