Pith Number

pith:3IBWHS7B

pith:2013:3IBWHS7BXG62MLHQU45UXABNHU

not attested not anchored not stored refs pending

Sample path behavior of a L\'evy insurance risk process approaching ruin, under the Cram\'er-Lundberg and convolution equivalent conditions

Philip S. Griffin

arxiv:1309.6973 v2 · 2013-09-26 · 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{3IBWHS7BXG62MLHQU45UXABNHU}

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	2026-05-18T01:23:17.000823Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da0363cbe1b9bda62cf0a73b4b802d3d328ff0e14c81f90ee50b181a5c392a3c

Aliases

arxiv: 1309.6973 · arxiv_version: 1309.6973v2 · doi: 10.48550/arxiv.1309.6973 · pith_short_12: 3IBWHS7BXG62 · pith_short_16: 3IBWHS7BXG62MLHQ · pith_short_8: 3IBWHS7B

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/3IBWHS7BXG62MLHQU45UXABNHU \
  | 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: da0363cbe1b9bda62cf0a73b4b802d3d328ff0e14c81f90ee50b181a5c392a3c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "32e3a5242b80f1d09bf1c08d251f4af615b578e2e6c25c7c165fda2a69a978df",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-09-26T17:11:00Z",
    "title_canon_sha256": "aefd86b1cacf509544133b9242c8e79118cefa74bb97ca57a5af3d40c87702e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.6973",
    "kind": "arxiv",
    "version": 2
  }
}