Pith Number

pith:XJ7YOGSW

pith:2026:XJ7YOGSW3Q6DUF3IIOERMB27Y6

not attested not anchored not stored refs pending

Variational Bounds for Perceptron Learning from Structured Data

Emanuele Mingione, Federica Gerace, Francesco Camilli, Pierluigi Contucci

arxiv:2608.04882 v1 · 2026-08-05 · cs.LG · cond-mat.dis-nn · math-ph · math.MP · 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{XJ7YOGSW3Q6DUF3IIOERMB27Y6}

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	2026-08-06T01:47:27.197044Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba7f871a56dc3c3a1768438916075fc7aa2733934e337135022e098f46c29cda

Aliases

arxiv: 2608.04882 · arxiv_version: 2608.04882v1 · doi: 10.48550/arxiv.2608.04882 · pith_short_12: XJ7YOGSW3Q6D · pith_short_16: XJ7YOGSW3Q6DUF3I · pith_short_8: XJ7YOGSW

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/XJ7YOGSW3Q6DUF3IIOERMB27Y6 \
  | 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: ba7f871a56dc3c3a1768438916075fc7aa2733934e337135022e098f46c29cda

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d74ccdc9888e5d9f258c4d5b212382d3f3a8e9075d93479127820ba104526881",
    "cross_cats_sorted": [
      "cond-mat.dis-nn",
      "math-ph",
      "math.MP",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-08-05T14:08:08Z",
    "title_canon_sha256": "7e07e67f2413ed01d9cf02d11d150781e9ab53d54a0f998da590b03cb62976dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.04882",
    "kind": "arxiv",
    "version": 1
  }
}