Pith Number

pith:42UQQQFQ

pith:2010:42UQQQFQYHUMK5ZAR344YJVNRY

not attested not anchored not stored refs pending

Optimal consumption and investment in incomplete markets with general constraints

Patrick Cheridito, Ying Hu (IRMAR)

arxiv:1010.0080 v2 · 2010-10-01 · 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{42UQQQFQYHUMK5ZAR344YJVNRY}

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	2026-05-18T04:34:08.672964Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e6a90840b0c1e8c577208ef9cc26ad8e066d0e2c3db13ff797844d8170a52566

Aliases

arxiv: 1010.0080 · arxiv_version: 1010.0080v2 · doi: 10.48550/arxiv.1010.0080 · pith_short_12: 42UQQQFQYHUM · pith_short_16: 42UQQQFQYHUMK5ZA · pith_short_8: 42UQQQFQ

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/42UQQQFQYHUMK5ZAR344YJVNRY \
  | 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: e6a90840b0c1e8c577208ef9cc26ad8e066d0e2c3db13ff797844d8170a52566

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "07793ff75d8eba3f343f627d0ddc93f95a2e62f54a710b8900a5b750fc3dc458",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.PM",
    "submitted_at": "2010-10-01T06:29:22Z",
    "title_canon_sha256": "e1cfe1aaa592549e7643c226283bdccd4f4d9753588e3150508a3c041ddca30f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.0080",
    "kind": "arxiv",
    "version": 2
  }
}