Pith Number

pith:PTO5QLNP

pith:2015:PTO5QLNPJ46YV4R37A6NFOXRDP

not attested not anchored not stored refs pending

Pointwise estimates for first passage times of perpetuity sequences

Dariusz Buraczewski, Ewa Damek, Jacek Zienkiewicz

arxiv:1512.03449 v2 · 2015-12-10 · 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{PTO5QLNPJ46YV4R37A6NFOXRDP}

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	2026-05-18T00:46:32.095470Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7cddd82daf4f3d8af23bf83cd2baf11bc3bf3291e043f607df414b2155e9be86

Aliases

arxiv: 1512.03449 · arxiv_version: 1512.03449v2 · doi: 10.48550/arxiv.1512.03449 · pith_short_12: PTO5QLNPJ46Y · pith_short_16: PTO5QLNPJ46YV4R3 · pith_short_8: PTO5QLNP

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/PTO5QLNPJ46YV4R37A6NFOXRDP \
  | 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: 7cddd82daf4f3d8af23bf83cd2baf11bc3bf3291e043f607df414b2155e9be86

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c20c0eaa202705e26a62a4b98b9562bbfa4b0097ffefc37030f69c4b2ac3e4c5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-12-10T21:27:45Z",
    "title_canon_sha256": "5f1bd2db6b60e285b14538d3fb937d71d20a6e1beef1b1ddb50b8ece2d9e10fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.03449",
    "kind": "arxiv",
    "version": 2
  }
}