Pith Number

pith:A5K2HDWU

pith:2025:A5K2HDWUFIXNKOWPZ2IW6ESI4H

not attested not anchored not stored refs pending

Beyond Softmax: A Natural Parameterization for Categorical Random Variables

Alessandro Manenti, Cesare Alippi

arxiv:2509.24728 v2 · 2025-09-29 · cs.LG · 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{A5K2HDWUFIXNKOWPZ2IW6ESI4H}

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	2026-05-18T03:10:12.177850Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0755a38ed42a2ed53acfce916f1248e1f2ecaf3f7bca329d74256ac7a07a858f

Aliases

arxiv: 2509.24728 · arxiv_version: 2509.24728v2 · doi: 10.48550/arxiv.2509.24728 · pith_short_12: A5K2HDWUFIXN · pith_short_16: A5K2HDWUFIXNKOWP · pith_short_8: A5K2HDWU

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/A5K2HDWUFIXNKOWPZ2IW6ESI4H \
  | 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: 0755a38ed42a2ed53acfce916f1248e1f2ecaf3f7bca329d74256ac7a07a858f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "360fe965ca91acdebba5d1caff92e97523bfd113a0d933e830603a1260847a66",
    "cross_cats_sorted": [
      "stat.ML"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-09-29T12:55:50Z",
    "title_canon_sha256": "55871e89d4022a48c003c9b9b516aaf64a632bcfd915d3a4f0c2ab9d4c1916e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.24728",
    "kind": "arxiv",
    "version": 2
  }
}