Pith Number

pith:L2IHKH2S

pith:2025:L2IHKH2SITAQYOHNJGHVMLD4HY

not attested not anchored not stored refs pending

Affine calculus for constrained minima of the Kullback-Leibler divergence

Giovanni Pistone

arxiv:2502.02177 v3 · 2025-02-04 · math.ST · 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{L2IHKH2SITAQYOHNJGHVMLD4HY}

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	2026-07-05T10:44:21.818010Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5e90751f5244c10c38ed498f562c7c3e309d4def6f3347b38e08e2a6d8bbcb45

Aliases

arxiv: 2502.02177 · arxiv_version: 2502.02177v3 · doi: 10.48550/arxiv.2502.02177 · pith_short_12: L2IHKH2SITAQ · pith_short_16: L2IHKH2SITAQYOHN · pith_short_8: L2IHKH2S

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/L2IHKH2SITAQYOHNJGHVMLD4HY \
  | 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: 5e90751f5244c10c38ed498f562c7c3e309d4def6f3347b38e08e2a6d8bbcb45

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "48ae6f1704cee4c975629f0315733f175ba00f6bebf428286fb7aa96489c63b2",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2025-02-04T09:49:34Z",
    "title_canon_sha256": "99f8cca11057be0bd2a14271d39ea8148fbc6bfa2eb44d021949f00bdcdc04a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.02177",
    "kind": "arxiv",
    "version": 3
  }
}