Pith Number

pith:7CDCNUAQ

pith:2011:7CDCNUAQN5LHBCTWIWH7KXRY5O

not attested not anchored not stored refs pending

Optimal consumption and investment for markets with random coefficients

Berdjane Belkacem, Serguei Pergamenchtchikov (LMRS)

arxiv:1102.1186 v2 · 2011-02-06 · q-fin.PM · math.PR · q-fin.CP · q-fin.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{7CDCNUAQN5LHBCTWIWH7KXRY5O}

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	2026-05-18T04:06:45.042869Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f88626d0106f56708a76458ff55e38eb89cd3a155c3096956bda6db02de7c7b9

Aliases

arxiv: 1102.1186 · arxiv_version: 1102.1186v2 · doi: 10.48550/arxiv.1102.1186 · pith_short_12: 7CDCNUAQN5LH · pith_short_16: 7CDCNUAQN5LHBCTW · pith_short_8: 7CDCNUAQ

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/7CDCNUAQN5LHBCTWIWH7KXRY5O \
  | 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: f88626d0106f56708a76458ff55e38eb89cd3a155c3096956bda6db02de7c7b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0bbf9752856517b3438b54c35aa3fbe31f0d872ea826ae193335448b5d2d79ff",
    "cross_cats_sorted": [
      "math.PR",
      "q-fin.CP",
      "q-fin.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.PM",
    "submitted_at": "2011-02-06T19:21:15Z",
    "title_canon_sha256": "cf5236a06497cf8cff183df8d8b1012dad83e31d55c28c4696f050e58f1169c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.1186",
    "kind": "arxiv",
    "version": 2
  }
}