Pith Number

pith:B32MZVX7

pith:2017:B32MZVX7TTHBCBX3HSIBDMPCHS

not attested not anchored not stored refs pending

A martingale view of Blackwell's renewal theorem and its extensions to a general counting process

Daryl J. Daley, Masakiyo Miyazawa

arxiv:1712.06278 v2 · 2017-12-18 · 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{B32MZVX7TTHBCBX3HSIBDMPCHS}

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	2026-05-17T23:57:32.395248Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ef4ccd6ff9cce1106fb3c9011b1e23c89093e163e8b0a09f47e95b57c662130

Aliases

arxiv: 1712.06278 · arxiv_version: 1712.06278v2 · doi: 10.48550/arxiv.1712.06278 · pith_short_12: B32MZVX7TTHB · pith_short_16: B32MZVX7TTHBCBX3 · pith_short_8: B32MZVX7

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/B32MZVX7TTHBCBX3HSIBDMPCHS \
  | 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: 0ef4ccd6ff9cce1106fb3c9011b1e23c89093e163e8b0a09f47e95b57c662130

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4aff93cb25e4073c9d4bcd69dc172699f3e3ef39e9f044552d4a7d8ac03964f2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-12-18T07:40:22Z",
    "title_canon_sha256": "80c8a05554da0ee2e80988887b8f40e416176125cd3394979287c4831fe6489f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.06278",
    "kind": "arxiv",
    "version": 2
  }
}