Pith Number

pith:J4RY2XBS

pith:2019:J4RY2XBSPL3XPX7Y6XXSWZYGAX

not attested not anchored not stored refs pending

Ruin probabilities in the Cram\'er-Lundberg model with temporarily negative capital

Frank Aurzada, Micha Buck

arxiv:1904.11415 v1 · 2019-04-25 · 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{J4RY2XBSPL3XPX7Y6XXSWZYGAX}

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	2026-05-17T23:47:44.957904Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f238d5c327af777dff8f5ef2b670605f46f0894e570006080ace962f8e1acb1

Aliases

arxiv: 1904.11415 · arxiv_version: 1904.11415v1 · doi: 10.48550/arxiv.1904.11415 · pith_short_12: J4RY2XBSPL3X · pith_short_16: J4RY2XBSPL3XPX7Y · pith_short_8: J4RY2XBS

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/J4RY2XBSPL3XPX7Y6XXSWZYGAX \
  | 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: 4f238d5c327af777dff8f5ef2b670605f46f0894e570006080ace962f8e1acb1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "584c959c7d08359a783d08a1a4f684df66b04f0267b513e8480d3617c5c9dd2f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-04-25T15:42:41Z",
    "title_canon_sha256": "196cd71b686a80d7b9d3424f176cd04ae873b5c65a14cde09ddaa0546761fcf9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.11415",
    "kind": "arxiv",
    "version": 1
  }
}