Pith Number

pith:Y64CBRJW

pith:2015:Y64CBRJWIZWXTA26JGBU4GAAT6

not attested not anchored not stored refs pending

On the Limiting Ratio of Current Age to Total Life for Null Recurrent Renewal Processes

Hermann Thorisson, Jose Blanchet, Peter Glynn

arxiv:1503.08374 v1 · 2015-03-29 · 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{Y64CBRJWIZWXTA26JGBU4GAAT6}

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	2026-05-18T02:20:01.993436Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c7b820c536466d79835e49834e18009f9ad77dbb1a99528c6d55bb4d9ae58871

Aliases

arxiv: 1503.08374 · arxiv_version: 1503.08374v1 · doi: 10.48550/arxiv.1503.08374 · pith_short_12: Y64CBRJWIZWX · pith_short_16: Y64CBRJWIZWXTA26 · pith_short_8: Y64CBRJW

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/Y64CBRJWIZWXTA26JGBU4GAAT6 \
  | 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: c7b820c536466d79835e49834e18009f9ad77dbb1a99528c6d55bb4d9ae58871

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1acec779c8c90eeacad23f2d1f6f071f1c93c712441cceaafaa13e9f2ed12f31",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-03-29T00:47:24Z",
    "title_canon_sha256": "75eeb696dfde239ae960b8608593f8ab3cadf9a1054c212d7d04b93d8170d0fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.08374",
    "kind": "arxiv",
    "version": 1
  }
}