Pith Number

pith:4BNDSRSQ

pith:2017:4BNDSRSQDNRMZCRUX5GE6AI6XW

not attested not anchored not stored refs pending

On optimal periodic dividend and capital injection strategies for spectrally negative L\'evy models

Jos\'e-Luis P\'erez, Kazutoshi Yamazaki, Kei Noba, Kouji Yano

arxiv:1801.00088 v1 · 2017-12-30 · 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{4BNDSRSQDNRMZCRUX5GE6AI6XW}

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	2026-05-18T00:26:59.490972Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e05a3946501b62cc8a34bf4c4f011ebd9646e1e8d412be357b81e0ef7008ab46

Aliases

arxiv: 1801.00088 · arxiv_version: 1801.00088v1 · doi: 10.48550/arxiv.1801.00088 · pith_short_12: 4BNDSRSQDNRM · pith_short_16: 4BNDSRSQDNRMZCRU · pith_short_8: 4BNDSRSQ

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/4BNDSRSQDNRMZCRUX5GE6AI6XW \
  | 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: e05a3946501b62cc8a34bf4c4f011ebd9646e1e8d412be357b81e0ef7008ab46

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "682e3494b51a85e7a225ec3b52ffea2e29942bf957abde65416bec4fdba42d6f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-12-30T05:21:20Z",
    "title_canon_sha256": "3eab3b5eaed068ca76141e49b32abc4f3e76808a6d697d2186ee0298bb3f6695"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.00088",
    "kind": "arxiv",
    "version": 1
  }
}