Pith Number

pith:6D4T4ZUC

pith:2011:6D4T4ZUC5BTBFDU23WZHNYOBIE

not attested not anchored not stored refs pending

On Multivariate Extensions of Value-at-Risk

Areski Cousin (SAF), Elena Di Bernadino (SAF)

arxiv:1111.1349 v3 · 2011-11-05 · 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{6D4T4ZUC5BTBFDU23WZHNYOBIE}

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	2026-05-18T03:29:03.982444Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f0f93e6682e866128e9addb276e1c14137f2fc2dd2b6f083ab8d5a922fc9d58f

Aliases

arxiv: 1111.1349 · arxiv_version: 1111.1349v3 · doi: 10.48550/arxiv.1111.1349 · pith_short_12: 6D4T4ZUC5BTB · pith_short_16: 6D4T4ZUC5BTBFDU2 · pith_short_8: 6D4T4ZUC

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/6D4T4ZUC5BTBFDU23WZHNYOBIE \
  | 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: f0f93e6682e866128e9addb276e1c14137f2fc2dd2b6f083ab8d5a922fc9d58f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da0398d0b0709574d93593b529ba1291279c6dcb06245d4101af24809c2c15f9",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.RM",
    "submitted_at": "2011-11-05T21:01:58Z",
    "title_canon_sha256": "b2dd963a6660f83e2262163c34fe25dc26058206e9e9f9c86958544e45f2564d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.1349",
    "kind": "arxiv",
    "version": 3
  }
}