Pith Number

pith:T5OPDQ7Y

pith:2015:T5OPDQ7YYOZWKGOICT4UBXTKZ4

not attested not anchored not stored refs pending

Optimal investment with intermediate consumption under no unbounded profit with bounded risk

Andrea Cosso, Claudio Fontana, Huy N. Chau, Oleksii Mostovyi

arxiv:1509.01672 v5 · 2015-09-05 · q-fin.PM · 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{T5OPDQ7YYOZWKGOICT4UBXTKZ4}

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	2026-05-18T00:34:58.134984Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f5cf1c3f8c3b36519c814f940de6acf235a35a7a76664e6a52275d8b6796894

Aliases

arxiv: 1509.01672 · arxiv_version: 1509.01672v5 · doi: 10.48550/arxiv.1509.01672 · pith_short_12: T5OPDQ7YYOZW · pith_short_16: T5OPDQ7YYOZWKGOI · pith_short_8: T5OPDQ7Y

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/T5OPDQ7YYOZWKGOICT4UBXTKZ4 \
  | 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: 9f5cf1c3f8c3b36519c814f940de6acf235a35a7a76664e6a52275d8b6796894

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d1adf9b6e43caec925b35c91ddbdd58f985e6b41e9a55562beb4729aedde2be9",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.PM",
    "submitted_at": "2015-09-05T07:57:54Z",
    "title_canon_sha256": "50f961d8c4edceaaaaec6cfaf3abfc7cad35d105d6a94ba152989e6437c9c358"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.01672",
    "kind": "arxiv",
    "version": 5
  }
}