Pith Number

pith:V4FQOLLN

pith:2026:V4FQOLLNWWFJQYLTPT3Z5NUQFF

not attested not anchored not stored refs pending

Runge--Kutta numerical methods for ruin probabilities in classical risk model

George Kanakoudis, Lazaros Kanellopoulos

arxiv:2605.21693 v1 · 2026-05-20 · math.NA · cs.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V4FQOLLNWWFJQYLTPT3Z5NUQFF}

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	2026-05-22T01:03:28.360927Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af0b072d6db58a9861737cf79eb690296ed6192f1232fb4cae0a49e6330d2712

Aliases

arxiv: 2605.21693 · arxiv_version: 2605.21693v1 · doi: 10.48550/arxiv.2605.21693 · pith_short_12: V4FQOLLNWWFJ · pith_short_16: V4FQOLLNWWFJQYLT · pith_short_8: V4FQOLLN

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/V4FQOLLNWWFJQYLTPT3Z5NUQFF \
  | 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: af0b072d6db58a9861737cf79eb690296ed6192f1232fb4cae0a49e6330d2712

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f77d8ce09083ebce418048e08fb80352fc023e08777669ed415bec481a9e4c79",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2026-05-20T19:52:08Z",
    "title_canon_sha256": "b104d90228a69b3aa45c4aed732ccac5915bbe5ebc322a510f391385a49e82f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.21693",
    "kind": "arxiv",
    "version": 1
  }
}