Pith Number

pith:H4EYUSWC

pith:2013:H4EYUSWCWRJQMR4QQLLC4ERHR3

not attested not anchored not stored refs pending

Integral criteria for Strong Renewal Theorems with infinite mean

Zhiyi Chi

arxiv:1312.6089 v3 · 2013-12-20 · 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{H4EYUSWCWRJQMR4QQLLC4ERHR3}

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	2026-05-18T02:54:13.995975Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3f098a4ac2b45306479082d62e12278ef7dc066741222b5846c8fb1e5784c4ab

Aliases

arxiv: 1312.6089 · arxiv_version: 1312.6089v3 · doi: 10.48550/arxiv.1312.6089 · pith_short_12: H4EYUSWCWRJQ · pith_short_16: H4EYUSWCWRJQMR4Q · pith_short_8: H4EYUSWC

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/H4EYUSWCWRJQMR4QQLLC4ERHR3 \
  | 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: 3f098a4ac2b45306479082d62e12278ef7dc066741222b5846c8fb1e5784c4ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6aa80d3e503bfe74578ead31181e3a273b3472134602b64087805dab0399c501",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-12-20T19:44:11Z",
    "title_canon_sha256": "4bd439940760bf8e7afd0676968ba6712b8a2f6ce942fae2fa807956f4287c97"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.6089",
    "kind": "arxiv",
    "version": 3
  }
}