Pith Number

pith:2GRV3LYH

pith:2024:2GRV3LYH5MLNXG42HNG3PDKF35

not attested not anchored not stored refs pending

Upper Comonotonicity and Risk Aggregation under Dependence Uncertainty

Corrado De Vecchi, Jan Streicher, Max Nendel

arxiv:2406.19242 v1 · 2024-06-27 · q-fin.RM · q-fin.MF

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2GRV3LYH5MLNXG42HNG3PDKF35}

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	2026-07-05T08:37:32.209629Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d1a35daf07eb16db9b9a3b4db78d45df798333828b46ed2c2cdd53006df369f2

Aliases

arxiv: 2406.19242 · arxiv_version: 2406.19242v1 · doi: 10.48550/arxiv.2406.19242 · pith_short_12: 2GRV3LYH5MLN · pith_short_16: 2GRV3LYH5MLNXG42 · pith_short_8: 2GRV3LYH

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/2GRV3LYH5MLNXG42HNG3PDKF35 \
  | 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: d1a35daf07eb16db9b9a3b4db78d45df798333828b46ed2c2cdd53006df369f2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b72ed5c866ee0d43b74a7a44ca43a1b572ff2ff3a727fa1e9f048e4342043a3",
    "cross_cats_sorted": [
      "q-fin.MF"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "q-fin.RM",
    "submitted_at": "2024-06-27T15:07:47Z",
    "title_canon_sha256": "9592f2943ec4e2e83383c31fbe7106fd2d29e982b3f7f1606dab1abf4d278249"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2406.19242",
    "kind": "arxiv",
    "version": 1
  }
}