Pith Number

pith:B5ZZSN7B

pith:2018:B5ZZSN7BUCWIWGAYPGZ76TCPEB

not attested not anchored not stored refs pending

Optimality of multi-refraction dividend strategies in the dual model

Irmina Czarna, Jos\'e Luis P\'erez, Kazutoshi Yamazaki

arxiv:1803.06038 v1 · 2018-03-16 · 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{B5ZZSN7BUCWIWGAYPGZ76TCPEB}

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	2026-05-18T00:20:50.912026Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0f739937e1a0ac8b181879b3ff4c4f207527c1ab680a6c537eb4a79c85172d6f

Aliases

arxiv: 1803.06038 · arxiv_version: 1803.06038v1 · doi: 10.48550/arxiv.1803.06038 · pith_short_12: B5ZZSN7BUCWI · pith_short_16: B5ZZSN7BUCWIWGAY · pith_short_8: B5ZZSN7B

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/B5ZZSN7BUCWIWGAYPGZ76TCPEB \
  | 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: 0f739937e1a0ac8b181879b3ff4c4f207527c1ab680a6c537eb4a79c85172d6f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4db291d9ff3a4c8698dc7d35140ee4adf5357142eb03128e83e23203549e8652",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-03-16T00:06:05Z",
    "title_canon_sha256": "55f095dad1c5375af09be234af9594f36e3fd72ba891e84c7a31084f7f923f79"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.06038",
    "kind": "arxiv",
    "version": 1
  }
}