Pith Number

pith:NBTP6D2I

pith:2009:NBTP6D2IIGLNGGPNNYH7LCO376

not attested not anchored not stored refs pending

Using Differential Equations to Obtain Joint Moments of First-Passage Times of Increasing Levy Processes

Mark S. Veillette, Murad S. Taqqu

arxiv:0906.5083 v1 · 2009-06-27 · 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{NBTP6D2IIGLNGGPNNYH7LCO376}

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	2026-07-04T15:45:16.223642Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6866ff0f484196d319ed6e0ff589dbffb5312c808e36bbbeed7cdd35841c3fa4

Aliases

arxiv: 0906.5083 · arxiv_version: 0906.5083v1 · doi: 10.48550/arxiv.0906.5083 · pith_short_12: NBTP6D2IIGLN · pith_short_16: NBTP6D2IIGLNGGPN · pith_short_8: NBTP6D2I

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/NBTP6D2IIGLNGGPNNYH7LCO376 \
  | 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: 6866ff0f484196d319ed6e0ff589dbffb5312c808e36bbbeed7cdd35841c3fa4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6447c1fdf43aca1c204c2d6fa1614cdf77bdce4a05a2523a051d8902aee5ee3b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2009-06-27T14:51:34Z",
    "title_canon_sha256": "8c2ed8b009fb897c07d3214e69368d7d21f301768d298bf78eb33f7c601c0fe5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.5083",
    "kind": "arxiv",
    "version": 1
  }
}