Pith Number

pith:FOYRN6AF

pith:2012:FOYRN6AF2JD3Q7YC6DKSVFZNP6

not attested not anchored not stored refs pending

Convolution equivalent L\'{e}vy processes and first passage times

Philip S. Griffin

arxiv:1205.5054 v2 · 2012-05-22 · 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{FOYRN6AF2JD3Q7YC6DKSVFZNP6}

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	2026-05-18T03:17:57.419565Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2bb116f805d247b87f02f0d52a972d7fa4406432578153244634b1e701c0f898

Aliases

arxiv: 1205.5054 · arxiv_version: 1205.5054v2 · doi: 10.48550/arxiv.1205.5054 · pith_short_12: FOYRN6AF2JD3 · pith_short_16: FOYRN6AF2JD3Q7YC · pith_short_8: FOYRN6AF

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/FOYRN6AF2JD3Q7YC6DKSVFZNP6 \
  | 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: 2bb116f805d247b87f02f0d52a972d7fa4406432578153244634b1e701c0f898

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d1b9d964bdfa0ee667055875d69320fb780a8f80d7ddc3a59f727a73844de5d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-05-22T20:43:52Z",
    "title_canon_sha256": "c5af5aee70db3ca0de3ca2bf42b64fe147945233bab94b0f71a755e1ba703e3b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.5054",
    "kind": "arxiv",
    "version": 2
  }
}