Pith Number

pith:4M6PIQX3

pith:2026:4M6PIQX3HTKRT5I6QJRQP5B52O

not attested not anchored not stored refs pending

A directional Hosmer-Lemeshow goodness-of-fit test for sparse logistic regression

Ahmed El-Kotory, Ebrahim Khaled Ebrahim

arxiv:2607.15454 v1 · 2026-07-16 · stat.ME · stat.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4M6PIQX3HTKRT5I6QJRQP5B52O}

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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.

Receipt and verification

First computed	2026-07-20T00:18:34.883303Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e33cf442fb3cd519f51e826307f43dd3b4faacd74f3d2ac700a7b2f5f45cfb6a

Aliases

arxiv: 2607.15454 · arxiv_version: 2607.15454v1 · doi: 10.48550/arxiv.2607.15454 · pith_short_12: 4M6PIQX3HTKR · pith_short_16: 4M6PIQX3HTKRT5I6 · pith_short_8: 4M6PIQX3

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/4M6PIQX3HTKRT5I6QJRQP5B52O \
  | 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: e33cf442fb3cd519f51e826307f43dd3b4faacd74f3d2ac700a7b2f5f45cfb6a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a0a6232f37883cdc142709a9c04ee7b53a1e078327f7ca4c1bdf22c5726906fe",
    "cross_cats_sorted": [
      "stat.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2026-07-16T20:54:45Z",
    "title_canon_sha256": "9820d003eec12d192cb4b8a0b4a172afc3c78c4519ba3b2fe50f0c06189e32d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.15454",
    "kind": "arxiv",
    "version": 1
  }
}