Pith Number

pith:7KDCPVXX

pith:2010:7KDCPVXXIMXDHSCB6E4U75E3JQ

not attested not anchored not stored refs pending

Occupation times of spectrally negative L\'evy processes with applications

David Landriault, Jean-Fran\c{c}ois Renaud, Xiaowen Zhou

arxiv:1012.3448 v3 · 2010-12-15 · 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{7KDCPVXXIMXDHSCB6E4U75E3JQ}

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	2026-05-18T04:23:02.578806Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa8627d6f7432e33c841f1394ff49b4c05f3d79ccebb7f030ddfef5bdeabae7b

Aliases

arxiv: 1012.3448 · arxiv_version: 1012.3448v3 · doi: 10.48550/arxiv.1012.3448 · pith_short_12: 7KDCPVXXIMXD · pith_short_16: 7KDCPVXXIMXDHSCB · pith_short_8: 7KDCPVXX

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/7KDCPVXXIMXDHSCB6E4U75E3JQ \
  | 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: fa8627d6f7432e33c841f1394ff49b4c05f3d79ccebb7f030ddfef5bdeabae7b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "51c4987005f4d4db8dd96a50fc98655f5ba95747234ddfd023fe64bc8feba999",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-12-15T20:16:25Z",
    "title_canon_sha256": "61c99761e48054f675b979e6868a39f2491900ef00ea4f218395cfa3c82cac16"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.3448",
    "kind": "arxiv",
    "version": 3
  }
}