Pith Number

pith:WR2YYR5K

pith:2022:WR2YYR5KOKG2F2TU4CUJ7HOXOS

not attested not anchored not stored refs pending

Bounds on Choquet Risk Measures in Finite Product Spaces with Ambiguous Marginals

David Saunders, Kelvin Shuangjian Zhang, Mario Ghossoub

arxiv:2212.01533 v2 · 2022-12-03 · math.PR · 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{WR2YYR5KOKG2F2TU4CUJ7HOXOS}

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	2026-07-05T06:11:18.201361Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b4758c47aa728da2ea74e0a89f9dd774a23780716da071f4fac8c9c3aad856b2

Aliases

arxiv: 2212.01533 · arxiv_version: 2212.01533v2 · doi: 10.48550/arxiv.2212.01533 · pith_short_12: WR2YYR5KOKG2 · pith_short_16: WR2YYR5KOKG2F2TU · pith_short_8: WR2YYR5K

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/WR2YYR5KOKG2F2TU4CUJ7HOXOS \
  | 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: b4758c47aa728da2ea74e0a89f9dd774a23780716da071f4fac8c9c3aad856b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "17eb1eabe67d357ec0e27c53db34f06f9a357755c5415371a983df9a2a0a638a",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2022-12-03T04:40:00Z",
    "title_canon_sha256": "8f0a48e7658cb5b4dd82392fab0f4f931eaa1619359a76d6f8e8cb84a18f19fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2212.01533",
    "kind": "arxiv",
    "version": 2
  }
}