Pith Number

pith:M35Z4QH5

pith:2011:M35Z4QH5JRRB5OJWLHT2XGPF7K

not attested not anchored not stored refs pending

Duality in Robust Utility Maximization with Unbounded Claim via a Robust Extension of Rockafellar's Theorem

Keita Owari

arxiv:1101.2968 v1 · 2011-01-15 · q-fin.CP · math.OC · math.PR · 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{M35Z4QH5JRRB5OJWLHT2XGPF7K}

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	2026-05-18T02:22:57.212538Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

66fb9e40fd4c621eb93659e7ab99e5faa6b025de3a00855a9aafdfe8d455a099

Aliases

arxiv: 1101.2968 · arxiv_version: 1101.2968v1 · doi: 10.48550/arxiv.1101.2968 · pith_short_12: M35Z4QH5JRRB · pith_short_16: M35Z4QH5JRRB5OJW · pith_short_8: M35Z4QH5

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/M35Z4QH5JRRB5OJWLHT2XGPF7K \
  | 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: 66fb9e40fd4c621eb93659e7ab99e5faa6b025de3a00855a9aafdfe8d455a099

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "00f6db227abfe7d67c561c0955db893cd0dcdeb7f903d0a1409babdf77d586b7",
    "cross_cats_sorted": [
      "math.OC",
      "math.PR",
      "q-fin.PM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.CP",
    "submitted_at": "2011-01-15T10:45:53Z",
    "title_canon_sha256": "bba0869ddc4b199ae95cf34bd7cb98ab7370b09bc2fa24223ad28736adeba556"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.2968",
    "kind": "arxiv",
    "version": 1
  }
}