Pith Number

pith:AOLT2GQQ

pith:2025:AOLT2GQQ7LOHJH3VR43S6KJPMW

not attested not anchored not stored refs pending

Optimality of quasi-Monte Carlo methods and suboptimality of the sparse-grid Gauss--Hermite rule in Gaussian Sobolev spaces

Takashi Goda, Yoshihito Kazashi, Yuya Suzuki

arxiv:2509.18712 v3 · 2025-09-23 · math.NA · cs.NA

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AOLT2GQQ7LOHJH3VR43S6KJPMW}

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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

M\"obius-transformed trapezoidal rule for polynomial weights

Receipt and verification

First computed	2026-06-09T01:05:09.429917Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

03973d1a10fadc749f758f372f292f65a809c5dc0dc06e2f8c2101eb472deec7

Aliases

arxiv: 2509.18712 · arxiv_version: 2509.18712v3 · doi: 10.48550/arxiv.2509.18712 · pith_short_12: AOLT2GQQ7LOH · pith_short_16: AOLT2GQQ7LOHJH3V · pith_short_8: AOLT2GQQ

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/AOLT2GQQ7LOHJH3VR43S6KJPMW \
  | 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: 03973d1a10fadc749f758f372f292f65a809c5dc0dc06e2f8c2101eb472deec7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "44265398ae3811626e7a7fcff9c37ec5acd4f127dff54d2194a8627cc112d677",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2025-09-23T06:52:34Z",
    "title_canon_sha256": "03c9df15ea9a9f0ac8c87d0d76fcfa1f343bca41fddbd2a5b1b30a1fcc7dfbd8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.18712",
    "kind": "arxiv",
    "version": 3
  }
}