Pith Number

pith:4TWLH33Q

pith:2016:4TWLH33QYK6J44SZPQ5ZEAXR2U

not attested not anchored not stored refs pending

A Note on the Optimal Dividends Paid in a Foreign Currency

Julia Eisenberg, Paul Kr\"uhner

arxiv:1603.07615 v1 · 2016-03-24 · q-fin.MF · math.OC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4TWLH33QYK6J44SZPQ5ZEAXR2U}

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	2026-05-18T01:18:20.361342Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4ecb3ef70c2bc9e72597c3b9202f1d51609066d67a66795cbf82559f65ab9bf

Aliases

arxiv: 1603.07615 · arxiv_version: 1603.07615v1 · doi: 10.48550/arxiv.1603.07615 · pith_short_12: 4TWLH33QYK6J · pith_short_16: 4TWLH33QYK6J44SZ · pith_short_8: 4TWLH33Q

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/4TWLH33QYK6J44SZPQ5ZEAXR2U \
  | 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: e4ecb3ef70c2bc9e72597c3b9202f1d51609066d67a66795cbf82559f65ab9bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c4f6ce187ee067ca06ab3496c6139002e01ff8e7b4c0b3b18806b3f0eb92c837",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.MF",
    "submitted_at": "2016-03-24T15:07:17Z",
    "title_canon_sha256": "da9cd7f79019450358a6bc2feef77ba753f2b100c636404fa209cd646e6faa98"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.07615",
    "kind": "arxiv",
    "version": 1
  }
}