Pith Number

pith:PFNO3VSK

pith:2013:PFNO3VSKLHUWAELRTMU4A2UAIQ

not attested not anchored not stored refs pending

Selfdecomposability, perpetuity and stopping times

Zbigniew J. Jurek

arxiv:1307.5876 v1 · 2013-07-22 · 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{PFNO3VSKLHUWAELRTMU4A2UAIQ}

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	2026-05-18T03:17:45.912207Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

795aedd64a59e96011719b29c06a80443cab7bc36988e2b9ad058d09477bcabd

Aliases

arxiv: 1307.5876 · arxiv_version: 1307.5876v1 · doi: 10.48550/arxiv.1307.5876 · pith_short_12: PFNO3VSKLHUW · pith_short_16: PFNO3VSKLHUWAELR · pith_short_8: PFNO3VSK

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/PFNO3VSKLHUWAELRTMU4A2UAIQ \
  | 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: 795aedd64a59e96011719b29c06a80443cab7bc36988e2b9ad058d09477bcabd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1127555460b0052a3afe027d8e3d336d151284b3c85507bc3903825e73f67260",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-07-22T20:34:24Z",
    "title_canon_sha256": "e736d8509f2076113d9922cdc0399f9ec1dab6f7e2aa8b9490408474c49add04"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.5876",
    "kind": "arxiv",
    "version": 1
  }
}