Pith Number

pith:V33LVOZV

pith:2016:V33LVOZV6MECTB6SKJ2POAPFHJ

not attested not anchored not stored refs pending

Generalized refracted L\'evy process and its application to exit problem

Kei Noba, Kouji Yano

arxiv:1608.05359 v2 · 2016-08-18 · 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{V33LVOZV6MECTB6SKJ2POAPFHJ}

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	2026-05-17T23:49:22.829479Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aef6babb35f3082987d25274f701e53a6b7d0cc47c3cf2665d7ac42423129175

Aliases

arxiv: 1608.05359 · arxiv_version: 1608.05359v2 · doi: 10.48550/arxiv.1608.05359 · pith_short_12: V33LVOZV6MEC · pith_short_16: V33LVOZV6MECTB6S · pith_short_8: V33LVOZV

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/V33LVOZV6MECTB6SKJ2POAPFHJ \
  | 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: aef6babb35f3082987d25274f701e53a6b7d0cc47c3cf2665d7ac42423129175

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "38df25deaf6fe324312de0751f5dc3308052e571412b6f72239faad7e88f3edd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-08-18T18:18:38Z",
    "title_canon_sha256": "f21b90fd9df5a666b96ea8646268bcb247b16b4164f8169320ae0d3fa1102820"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.05359",
    "kind": "arxiv",
    "version": 2
  }
}