Pith Number

pith:XWCUK6N5

pith:2016:XWCUK6N53UH3KUUKQ2423G2W2B

not attested not anchored not stored refs pending

Asymptotics for the expected shortfall

Hajo Holzmann, Tobias Zwingmann

arxiv:1611.07222 v2 · 2016-11-22 · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XWCUK6N53UH3KUUKQ2423G2W2B}

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	2026-05-18T00:56:44.884800Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd854579bddd0fb5528a86b9ad9b56d05ff79a84618a00f43e1b19f51aed8bfd

Aliases

arxiv: 1611.07222 · arxiv_version: 1611.07222v2 · doi: 10.48550/arxiv.1611.07222 · pith_short_12: XWCUK6N53UH3 · pith_short_16: XWCUK6N53UH3KUUK · pith_short_8: XWCUK6N5

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/XWCUK6N53UH3KUUKQ2423G2W2B \
  | 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: bd854579bddd0fb5528a86b9ad9b56d05ff79a84618a00f43e1b19f51aed8bfd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de6a8fae07ef674f4b5080a29934fd67dab4e9bab3334841a302d6a4a710c02e",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2016-11-22T09:57:49Z",
    "title_canon_sha256": "bdfa7abc3d5ad7f72895353c3de7c1f9ff4726eb4249119aeaeed63babea6a63"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.07222",
    "kind": "arxiv",
    "version": 2
  }
}