Pith Number

pith:WF2WZO7Z

pith:2016:WF2WZO7ZZNWS2NAJI4W7RVBOY5

not attested not anchored not stored refs pending

Implicit renewal theory in the arithmetic case

Peter Kevei

arxiv:1609.07339 v1 · 2016-09-23 · 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{WF2WZO7ZZNWS2NAJI4W7RVBOY5}

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	2026-05-18T01:04:01.596950Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b1756cbbf9cb6d2d3409472df8d42ec76b5bb71b1472a9c7cfc097817e9b7296

Aliases

arxiv: 1609.07339 · arxiv_version: 1609.07339v1 · doi: 10.48550/arxiv.1609.07339 · pith_short_12: WF2WZO7ZZNWS · pith_short_16: WF2WZO7ZZNWS2NAJ · pith_short_8: WF2WZO7Z

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/WF2WZO7ZZNWS2NAJI4W7RVBOY5 \
  | 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: b1756cbbf9cb6d2d3409472df8d42ec76b5bb71b1472a9c7cfc097817e9b7296

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e45d50552accd7577fb0d8107d76b99f831e381b904f4ee886eaf2d06a434032",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-09-23T12:38:04Z",
    "title_canon_sha256": "0292218581e1e5ed15d212dec5cb819748314387e425eeb84158e144f9ac4963"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.07339",
    "kind": "arxiv",
    "version": 1
  }
}