Pith Number

pith:4WUGU7DO

pith:2026:4WUGU7DOX2MKAEGH6REDYYXL47

not attested not anchored not stored refs pending

Universal Value-at-Risk superadditivity

Liyuan Lin, Ruodu Wang, Yuyu Chen

arxiv:2606.22884 v1 · 2026-06-22 · q-fin.RM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4WUGU7DOX2MKAEGH6REDYYXL47}

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	2026-06-23T03:14:03.214272Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5a86a7c6ebe98a010c7f4483c62ebe7f2ff5bd788902cea4169205ae4ee44ce

Aliases

arxiv: 2606.22884 · arxiv_version: 2606.22884v1 · doi: 10.48550/arxiv.2606.22884 · pith_short_12: 4WUGU7DOX2MK · pith_short_16: 4WUGU7DOX2MKAEGH · pith_short_8: 4WUGU7DO

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/4WUGU7DOX2MKAEGH6REDYYXL47 \
  | 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: e5a86a7c6ebe98a010c7f4483c62ebe7f2ff5bd788902cea4169205ae4ee44ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e4cb30a9d4008230fe134347e6dc6c3c966365ef15ce714f1602fbd97008ed76",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.RM",
    "submitted_at": "2026-06-22T05:50:38Z",
    "title_canon_sha256": "d2f7a67195eac669604b3065fdb37dcd39cf8cec84a95a4d92001799c1a1bc87"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.22884",
    "kind": "arxiv",
    "version": 1
  }
}