Pith Number

pith:O6GPUMNP

pith:2010:O6GPUMNPP6AMOPNSJMRDV3RU33

not attested not anchored not stored refs pending

Ordering of multivariate probability distributions with respect to extreme portfolio losses

Georg Mainik, Ludger R\"uschendorf

arxiv:1010.5171 v1 · 2010-10-25 · q-fin.RM · 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{O6GPUMNPP6AMOPNSJMRDV3RU33}

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	2026-05-18T04:38:49.231087Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

778cfa31af7f80c73db24b223aee34ded3a61ff1d50d53394483cd07952de729

Aliases

arxiv: 1010.5171 · arxiv_version: 1010.5171v1 · doi: 10.48550/arxiv.1010.5171 · pith_short_12: O6GPUMNPP6AM · pith_short_16: O6GPUMNPP6AMOPNS · pith_short_8: O6GPUMNP

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/O6GPUMNPP6AMOPNSJMRDV3RU33 \
  | 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: 778cfa31af7f80c73db24b223aee34ded3a61ff1d50d53394483cd07952de729

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e6063dedd01c13de42d972012532850ee5b6c893d09456dda4a2124e00fe513b",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.RM",
    "submitted_at": "2010-10-25T15:50:50Z",
    "title_canon_sha256": "7fa353c8a7bbfc5839767520838f1f88443e93ee0724954d03d802afb72ae93e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.5171",
    "kind": "arxiv",
    "version": 1
  }
}