Pith Number

pith:5FDONYY7

pith:2026:5FDONYY7QCHP3VKBFR6B4V6E7S

not attested not anchored not stored refs pending

Asymptotic Behaviour of Unexpected Losses and Risk Ratios for Co-Monotonic Alternatives

Max Nendel

arxiv:2605.18049 v1 · 2026-05-18 · 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{5FDONYY7QCHP3VKBFR6B4V6E7S}

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	2026-05-20T00:05:13.243222Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e946e6e31f808efdd5412c7c1e57c4fcb92ee5051c68158846d6213603d102f7

Aliases

arxiv: 2605.18049 · arxiv_version: 2605.18049v1 · doi: 10.48550/arxiv.2605.18049 · pith_short_12: 5FDONYY7QCHP · pith_short_16: 5FDONYY7QCHP3VKB · pith_short_8: 5FDONYY7

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/5FDONYY7QCHP3VKBFR6B4V6E7S \
  | 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: e946e6e31f808efdd5412c7c1e57c4fcb92ee5051c68158846d6213603d102f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da36f2c3a5158b233e83271a91268ca10eadaa160f26cdc8765ccd589dd6cb23",
    "cross_cats_sorted": [
      "q-fin.MF"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.RM",
    "submitted_at": "2026-05-18T08:37:11Z",
    "title_canon_sha256": "506aafabe068570947eb1c82bb4cc7262f72d2eb983852e355e556a489b182af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.18049",
    "kind": "arxiv",
    "version": 1
  }
}