Pith. sign in
Pith Number

pith:2WRKTBQY

pith:2024:2WRKTBQYC4ICL6J26YHSO7MAHW
not attested not anchored not stored refs pending

Strong Gaussian approximations with random multipliers

Fabian Mies

arxiv:2412.14346 v1 · 2024-12-18 · math.ST · stat.TH

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{2WRKTBQYC4ICL6J26YHSO7MAHW}

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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 2026-07-05T09:51:45.981080Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

d5a2a98618171025f93af60f277d803da1b06ebb5a423152657822654e8e0b67

Aliases

arxiv: 2412.14346 · arxiv_version: 2412.14346v1 · doi: 10.48550/arxiv.2412.14346 · pith_short_12: 2WRKTBQYC4IC · pith_short_16: 2WRKTBQYC4ICL6J2 · pith_short_8: 2WRKTBQY
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/2WRKTBQYC4ICL6J26YHSO7MAHW \
  | 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: d5a2a98618171025f93af60f277d803da1b06ebb5a423152657822654e8e0b67
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "4a5b07e8b8c9e69cfbb9c7d2d76d6cdb5bb2f823a9e5d143a88d7965b03d29c1",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2024-12-18T21:29:21Z",
    "title_canon_sha256": "d10c1aa48de050d6f3ee927013a1da1aeb3463e4a92bb1e9909ee09d0524df81"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.14346",
    "kind": "arxiv",
    "version": 1
  }
}