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Pith Number

pith:U5QPA3AF

pith:2024:U5QPA3AF26T6HN2CICL6NK5JZ4
not attested not anchored not stored refs pending

The Laplace asymptotic expansion in high dimensions

Anya Katsevich

arxiv:2406.12706 v3 · 2024-06-18 · math.CA · math.ST · stat.TH

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\usepackage{pith}
\pithnumber{U5QPA3AF26T6HN2CICL6NK5JZ4}

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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.

Cited by

1 paper in Pith

Receipt and verification
First computed 2026-07-05T11:20:03.476295Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

a760f06c05d7a7e3b7424097e6aba9cf0b0b85a2ea26d64265c90636ff1f56fb

Aliases

arxiv: 2406.12706 · arxiv_version: 2406.12706v3 · doi: 10.48550/arxiv.2406.12706 · pith_short_12: U5QPA3AF26T6 · pith_short_16: U5QPA3AF26T6HN2C · pith_short_8: U5QPA3AF
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/U5QPA3AF26T6HN2CICL6NK5JZ4 \
  | 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: a760f06c05d7a7e3b7424097e6aba9cf0b0b85a2ea26d64265c90636ff1f56fb
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "19a9db3843f6ce4b776c9a9f0d27d5ef57f971ba8a7fe5c9277e4fe609c03437",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2024-06-18T15:19:02Z",
    "title_canon_sha256": "674db59b638a894a6d18bf1b5728b66b9eaec9098a132c7d0c842529d1302a90"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2406.12706",
    "kind": "arxiv",
    "version": 3
  }
}