Pith Number

pith:6L4IOWP4

pith:2026:6L4IOWP4ABYCNFNLMDZQTB3TPY

not attested not anchored not stored refs pending

Goodness-of-Fit Tests and Calibration Machine-Learning Algorithms for Logistic Regression with Sparse Data

Ebrahim Khaled Ebrahim

arxiv:2608.11140 v1 · 2026-08-11 · stat.ME · stat.AP · stat.ML

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6L4IOWP4ABYCNFNLMDZQTB3TPY}

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	2026-08-12T01:24:40.836214Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f2f88759fc00702695ab60f30987737e1fce382c63dee051f505f67b5d9f2f16

Aliases

arxiv: 2608.11140 · arxiv_version: 2608.11140v1 · doi: 10.48550/arxiv.2608.11140 · pith_short_12: 6L4IOWP4ABYC · pith_short_16: 6L4IOWP4ABYCNFNL · pith_short_8: 6L4IOWP4

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/6L4IOWP4ABYCNFNLMDZQTB3TPY \
  | 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: f2f88759fc00702695ab60f30987737e1fce382c63dee051f505f67b5d9f2f16

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "15bb11734903ce1f3bded79320a08fb6c1a0686ef1624b5ee270faf3abf012bb",
    "cross_cats_sorted": [
      "stat.AP",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2026-08-11T17:00:50Z",
    "title_canon_sha256": "90d8ff69a56aaee0a4d6d6288741cbe18afea4295312294ada527629d45ae49d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.11140",
    "kind": "arxiv",
    "version": 1
  }
}