Pith Number

pith:3HNBVVPN

pith:2012:3HNBVVPNG5NPOLTCMW2YIS4DUO

not attested not anchored not stored refs pending

Optimal portfolios in commodity futures markets

Fred Espen Benth, Jukka Lempa

arxiv:1204.2667 v1 · 2012-04-12 · 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{3HNBVVPNG5NPOLTCMW2YIS4DUO}

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	2026-05-18T03:58:03.765976Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d9da1ad5ed375af72e6265b5844b83a3a8ae1c4dfb5ac524ab8939918d83706a

Aliases

arxiv: 1204.2667 · arxiv_version: 1204.2667v1 · doi: 10.48550/arxiv.1204.2667 · pith_short_12: 3HNBVVPNG5NP · pith_short_16: 3HNBVVPNG5NPOLTC · pith_short_8: 3HNBVVPN

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/3HNBVVPNG5NPOLTCMW2YIS4DUO \
  | 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: d9da1ad5ed375af72e6265b5844b83a3a8ae1c4dfb5ac524ab8939918d83706a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f3d55389226b6d548adc244d835b9ba288f40c67734705b84350e6bbbc06b2d2",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.PM",
    "submitted_at": "2012-04-12T09:33:29Z",
    "title_canon_sha256": "3c32fab5047bfd5e36cdec88cd4c0b12dfedbbbe61660d1f089967acbf239a05"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.2667",
    "kind": "arxiv",
    "version": 1
  }
}