Pith Number

pith:WI4AVW7Q

pith:2018:WI4AVW7Q4LUODDGJ7HET62JUSE

not attested not anchored not stored refs pending

Multinomial Goodness-of-Fit Based on U-Statistics: High-Dimensional Asymptotic and Minimax Optimality

Ilmun Kim

arxiv:1812.08924 v1 · 2018-12-21 · math.ST · stat.ME · 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{WI4AVW7Q4LUODDGJ7HET62JUSE}

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	2026-05-17T23:57:45.907062Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b2380adbf0e2e8e18cc9f9c93f6934911d9224b4dcb34b523b305268f65cc5a6

Aliases

arxiv: 1812.08924 · arxiv_version: 1812.08924v1 · doi: 10.48550/arxiv.1812.08924 · pith_short_12: WI4AVW7Q4LUO · pith_short_16: WI4AVW7Q4LUODDGJ · pith_short_8: WI4AVW7Q

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/WI4AVW7Q4LUODDGJ7HET62JUSE \
  | 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: b2380adbf0e2e8e18cc9f9c93f6934911d9224b4dcb34b523b305268f65cc5a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5aa8ad6a0f73b8c9348f74ad7c24b53d1102a0dc4398c73ee9a555ae01c3a7c9",
    "cross_cats_sorted": [
      "stat.ME",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2018-12-21T03:17:55Z",
    "title_canon_sha256": "92802e7a549f5837013f973574e262e5935b1781a210a09a82e0e214740903eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.08924",
    "kind": "arxiv",
    "version": 1
  }
}