Pith Number

pith:4PUWZOBI

pith:2004:4PUWZOBIJ5HVSVXQSOSKQN5RLI

not attested not anchored not stored refs pending

Dual formulation of the utility maximization problem: the case of nonsmooth utility

A. Zeghal, B. Bouchard, N. Touzi

arxiv:math/0405290 v1 · 2004-05-14 · math.PR · q-fin.CP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4PUWZOBIJ5HVSVXQSOSKQN5RLI}

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	2026-07-04T15:33:34.266468Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3e96cb8284f4f5956f093a4a837b15a1e6314d98b15b83604cd1e02935eb980

Aliases

arxiv: math/0405290 · arxiv_version: math/0405290v1 · doi: 10.48550/arxiv.math/0405290 · pith_short_12: 4PUWZOBIJ5HV · pith_short_16: 4PUWZOBIJ5HVSVXQ · pith_short_8: 4PUWZOBI

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/4PUWZOBIJ5HVSVXQSOSKQN5RLI \
  | 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: e3e96cb8284f4f5956f093a4a837b15a1e6314d98b15b83604cd1e02935eb980

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e7cd3fd1e1227eec9c3a9269cc1df9fd0b78cb3a032edd2974739393c8ca9f2d",
    "cross_cats_sorted": [
      "q-fin.CP"
    ],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2004-05-14T15:42:51Z",
    "title_canon_sha256": "b912d27ddb6da44eb8a5bcb4d3b8a599dbb871189424df42ebf824b252ab4b1b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0405290",
    "kind": "arxiv",
    "version": 1
  }
}