pith. sign in
Pith Number

pith:JIUVOXFR

pith:2011:JIUVOXFRMAWPPKLBLNPNPYXHDC
not attested not anchored not stored refs pending

(U,V)-Ordering and a Duality Theorem for Risk Aversion and Lorenz-type Orderings

Alessandra Giovagnoli, Henry P. Wynn

arxiv:1108.1019 v1 · 2011-08-04 · math.ST · math.PR · stat.TH

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{JIUVOXFRMAWPPKLBLNPNPYXHDC}

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 2026-05-18T04:16:13.211160Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

4a29575cb1602cf7a9615b5ed7e2e7189cf1eb54d72edb1864ecbdeab5adba64

Aliases

arxiv: 1108.1019 · arxiv_version: 1108.1019v1 · doi: 10.48550/arxiv.1108.1019 · pith_short_12: JIUVOXFRMAWP · pith_short_16: JIUVOXFRMAWPPKLB · pith_short_8: JIUVOXFR
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/JIUVOXFRMAWPPKLBLNPNPYXHDC \
  | 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: 4a29575cb1602cf7a9615b5ed7e2e7189cf1eb54d72edb1864ecbdeab5adba64
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "009210dfcd48e89ad84cd6d394eec0023f39887d82a071fd9d8111a56a2ae509",
    "cross_cats_sorted": [
      "math.PR",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2011-08-04T08:33:59Z",
    "title_canon_sha256": "5fddea4145c5dca67bacc10af789e14c679a2f2594f3b26c5f12aa155f06422b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.1019",
    "kind": "arxiv",
    "version": 1
  }
}