Pith Number

pith:CITJT7FM

pith:2016:CITJT7FMEO635CLKB6YW56M4ZW

not attested not anchored not stored refs pending

The dividend problem with a finite horizon

Erik Ekstr\"om, Tiziano De Angelis

arxiv:1609.01655 v4 · 2016-09-06 · math.PR · math.OC · q-fin.PM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CITJT7FMEO635CLKB6YW56M4ZW}

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	2026-05-18T00:29:46.828940Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

122699fcac23bdbe896a0fb16ef99ccda5fc0c4dcc865ac7481306acf475db62

Aliases

arxiv: 1609.01655 · arxiv_version: 1609.01655v4 · doi: 10.48550/arxiv.1609.01655 · pith_short_12: CITJT7FMEO63 · pith_short_16: CITJT7FMEO635CLK · pith_short_8: CITJT7FM

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/CITJT7FMEO635CLKB6YW56M4ZW \
  | 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: 122699fcac23bdbe896a0fb16ef99ccda5fc0c4dcc865ac7481306acf475db62

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f1c002d4ed544ad517fdcb1f390e667c91c7d16dec800a3eb63eab61ef8c40f",
    "cross_cats_sorted": [
      "math.OC",
      "q-fin.PM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-09-06T17:12:05Z",
    "title_canon_sha256": "dbd7a830f4ef5faf97095d0cdb9b672f2b248bcc96b9ef8da698837334d000dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.01655",
    "kind": "arxiv",
    "version": 4
  }
}