Pith Number

pith:CAIWD2RE

pith:2015:CAIWD2REQ2AOTYWH7OG3HUCI7N

not attested not anchored not stored refs pending

Multivariate Shortfall Risk Allocation and Systemic Risk

Antonis Papapantoleon, Samuel Drapeau, Stephane Crepey, Yannick Armenti

arxiv:1507.05351 v4 · 2015-07-19 · 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{CAIWD2REQ2AOTYWH7OG3HUCI7N}

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	2026-05-18T00:48:05.875353Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

101161ea248680e9e2c7fb8db3d048fb7ef289de53e1de3c17787c202f20de3f

Aliases

arxiv: 1507.05351 · arxiv_version: 1507.05351v4 · doi: 10.48550/arxiv.1507.05351 · pith_short_12: CAIWD2REQ2AO · pith_short_16: CAIWD2REQ2AOTYWH · pith_short_8: CAIWD2RE

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/CAIWD2REQ2AOTYWH7OG3HUCI7N \
  | 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: 101161ea248680e9e2c7fb8db3d048fb7ef289de53e1de3c17787c202f20de3f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0182564da9dfa54083fa7e7e6e96a4c6183806099f0a8284c1e2b639b072c3c1",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.RM",
    "submitted_at": "2015-07-19T22:45:22Z",
    "title_canon_sha256": "ab22b18005940b5c478b6910e2e558aa5ee8695faa2f67167208bc0c047fa5e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.05351",
    "kind": "arxiv",
    "version": 4
  }
}