Pith Number

pith:XD3RSCR7

pith:2009:XD3RSCR7JRWVHNDLX6YZUHFFAD

not attested not anchored not stored refs pending

The Opportunity Process for Optimal Consumption and Investment with Power Utility

Marcel Nutz

arxiv:0912.1879 v2 · 2009-12-09 · q-fin.PM · math.OC · 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{XD3RSCR7JRWVHNDLX6YZUHFFAD}

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	2026-05-18T04:37:22.192558Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b8f7190a3f4c6d53b46bbfb19a1ca500c68f7997682080ca8afcb9e705911031

Aliases

arxiv: 0912.1879 · arxiv_version: 0912.1879v2 · doi: 10.48550/arxiv.0912.1879 · pith_short_12: XD3RSCR7JRWV · pith_short_16: XD3RSCR7JRWVHNDL · pith_short_8: XD3RSCR7

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/XD3RSCR7JRWVHNDLX6YZUHFFAD \
  | 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: b8f7190a3f4c6d53b46bbfb19a1ca500c68f7997682080ca8afcb9e705911031

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f6eb1efc365e8f67213de187aa3017808d2e7c41072d36630182f268dbc1d37",
    "cross_cats_sorted": [
      "math.OC",
      "q-fin.CP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.PM",
    "submitted_at": "2009-12-09T22:59:22Z",
    "title_canon_sha256": "1d541d20a9865b9691f9aa7fe41645bc9162895c0a105951b22edd5866d7cebb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.1879",
    "kind": "arxiv",
    "version": 2
  }
}