Pith Number

pith:A26OKJUO

pith:2010:A26OKJUOXDLR2LBN5ILKXKG5PR

not attested not anchored not stored refs pending

Stochastic Utilities With a Given Optimal Portfolio : Approach by Stochastic Flows

LAGA), LPMA), Mohamed M'Rad (CMAP, N. El Karoui (CMAP

arxiv:1004.5192 v2 · 2010-04-29 · q-fin.CP · 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{A26OKJUOXDLR2LBN5ILKXKG5PR}

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	2026-05-18T03:28:56.577505Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

06bce5268eb8d71d2c2dea16aba8dd7c55a6bd0b12eb8bffc71e88e42d8d1070

Aliases

arxiv: 1004.5192 · arxiv_version: 1004.5192v2 · doi: 10.48550/arxiv.1004.5192 · pith_short_12: A26OKJUOXDLR · pith_short_16: A26OKJUOXDLR2LBN · pith_short_8: A26OKJUO

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/A26OKJUOXDLR2LBN5ILKXKG5PR \
  | 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: 06bce5268eb8d71d2c2dea16aba8dd7c55a6bd0b12eb8bffc71e88e42d8d1070

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ba8e0d6dbaeb7ec36fe78b95e8ed8c4200d9c7872cdb3fcd2214d543c2c7bb6",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.CP",
    "submitted_at": "2010-04-29T06:37:23Z",
    "title_canon_sha256": "4210bc29371a3b4ea61965276b5e70a42da4ee4940feeda6039a400d7ee291bd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.5192",
    "kind": "arxiv",
    "version": 2
  }
}