Pith Number

pith:JLQBZDWP

pith:2012:JLQBZDWPNXYZX3H7B35MYVS4OB

not attested not anchored not stored refs pending

Common Mathematical Foundations of Expected Utility and Dual Utility Theories

Andrzej Ruszczynski, Darinka Dentcheva

arxiv:1211.4469 v1 · 2012-11-19 · math.FA · math.OC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JLQBZDWPNXYZX3H7B35MYVS4OB}

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	2026-05-18T03:40:26.797330Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ae01c8ecf6df19becff0efacc565c7046ee76d5ef95a7b5034e9fa4217cc68e

Aliases

arxiv: 1211.4469 · arxiv_version: 1211.4469v1 · doi: 10.48550/arxiv.1211.4469 · pith_short_12: JLQBZDWPNXYZ · pith_short_16: JLQBZDWPNXYZX3H7 · pith_short_8: JLQBZDWP

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/JLQBZDWPNXYZX3H7B35MYVS4OB \
  | 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: 4ae01c8ecf6df19becff0efacc565c7046ee76d5ef95a7b5034e9fa4217cc68e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1202efc8b99c00923a5cec512bbb15ebfe535880df5d0fb6d80d1192e7ed0714",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-11-19T15:50:11Z",
    "title_canon_sha256": "b0b8defd3caf3555200adfc00897351181de5bf2300e70fb19fc716af3272e88"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.4469",
    "kind": "arxiv",
    "version": 1
  }
}