Pith Number

pith:ZVK3YP5N

pith:2015:ZVK3YP5NQJCOFAP2YQ4H5SOPEK

not attested not anchored not stored refs pending

Random Dirichlet series arising from records

Jim Pitman, Ron Peled, Ryokichi Tanaka, Yuval Peres

arxiv:1505.06428 v2 · 2015-05-24 · math.PR · math.CA · math.DS

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZVK3YP5NQJCOFAP2YQ4H5SOPEK}

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	2026-05-18T01:23:33.548946Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd55bc3fad8244e281fac4387ec9cf2295d8c473b2f97e86cde4799dfcfdffa8

Aliases

arxiv: 1505.06428 · arxiv_version: 1505.06428v2 · doi: 10.48550/arxiv.1505.06428 · pith_short_12: ZVK3YP5NQJCO · pith_short_16: ZVK3YP5NQJCOFAP2 · pith_short_8: ZVK3YP5N

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/ZVK3YP5NQJCOFAP2YQ4H5SOPEK \
  | 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: cd55bc3fad8244e281fac4387ec9cf2295d8c473b2f97e86cde4799dfcfdffa8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c5b9a5a8d93d00f97527e797d64aa9010cf5b74052e802338605608bee5c3b80",
    "cross_cats_sorted": [
      "math.CA",
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-05-24T11:25:54Z",
    "title_canon_sha256": "2209f60ad62cc493921d74cf78a6dcc6aa4754d0b67e6d7e21586134745431d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.06428",
    "kind": "arxiv",
    "version": 2
  }
}