Pith Number

pith:HCEQO6WM

pith:2026:HCEQO6WMOITHCXFTHWCBXB2J5C

not attested not anchored not stored refs pending

On Prudence of Risk Measures

Denny H. Leung, Foivos Xanthos, Niushan Gao

arxiv:2606.21871 v1 · 2026-06-20 · q-fin.RM · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HCEQO6WMOITHCXFTHWCBXB2J5C}

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	2026-06-23T02:13:01.548484Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3889077acc7226715cb33d841b8749e88675e54de6cac43791f9d08d9e013c18

Aliases

arxiv: 2606.21871 · arxiv_version: 2606.21871v1 · doi: 10.48550/arxiv.2606.21871 · pith_short_12: HCEQO6WMOITH · pith_short_16: HCEQO6WMOITHCXFT · pith_short_8: HCEQO6WM

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/HCEQO6WMOITHCXFTHWCBXB2J5C \
  | 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: 3889077acc7226715cb33d841b8749e88675e54de6cac43791f9d08d9e013c18

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "732c64aa09c0f15db88aab979bf29dc5eaae5dd091ea4895990eadb0dc59fe72",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.RM",
    "submitted_at": "2026-06-20T04:13:11Z",
    "title_canon_sha256": "232201b7065a912a7cbeddc1334066ed279ddb2ce2b808ef300cf46eea3b77b0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.21871",
    "kind": "arxiv",
    "version": 1
  }
}