Pith Number

pith:PSIBWK5H

pith:2026:PSIBWK5HPQSI3WRHK4VWWTMQM3

not attested not anchored not stored refs pending

Learning Sparse Compositional Functions with Norm-Constrained Neural Networks

Lorenzo Fiorito, Lorenzo Rosasco, Shuo Huang, Tomaso Poggio

arxiv:2605.25608 v1 · 2026-05-25 · stat.ML · cs.LG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PSIBWK5HPQSI3WRHK4VWWTMQM3}

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	2026-05-26T02:04:46.279203Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c901b2ba77c248dda27572b6b4d9066ed083e3630672922148b7b17801bba97

Aliases

arxiv: 2605.25608 · arxiv_version: 2605.25608v1 · doi: 10.48550/arxiv.2605.25608 · pith_short_12: PSIBWK5HPQSI · pith_short_16: PSIBWK5HPQSI3WRH · pith_short_8: PSIBWK5H

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/PSIBWK5HPQSI3WRHK4VWWTMQM3 \
  | 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: 7c901b2ba77c248dda27572b6b4d9066ed083e3630672922148b7b17801bba97

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "86801b0b62591871e95ab5e9baae114f2e00e5213d1fd0df306f4b05a497ef83",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2026-05-25T09:02:13Z",
    "title_canon_sha256": "8d63652794e15e72439c44035954d155db36a429b3501c5d7375cf9cd5506284"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.25608",
    "kind": "arxiv",
    "version": 1
  }
}