Pith Number

pith:WGIP37KE

pith:2026:WGIP37KEEVZPRS76US43DXU7T2

not attested not anchored not stored refs pending

Born Discrete, Made Smooth: Variational Formulation of Shallow Neural Networks

B{\l}a\.zej Miasojedow, Iwona Chlebicka, Matej Benko, Pierre Bousquet

arxiv:2607.02003 v1 · 2026-07-02 · 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{WGIP37KEEVZPRS76US43DXU7T2}

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	2026-07-03T01:17:36.807852Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b190fdfd442572f8cbfea4b9b1de9f9ebd26968e0bb45af3cfc97a3184611b8a

Aliases

arxiv: 2607.02003 · arxiv_version: 2607.02003v1 · doi: 10.48550/arxiv.2607.02003 · pith_short_12: WGIP37KEEVZP · pith_short_16: WGIP37KEEVZPRS76 · pith_short_8: WGIP37KE

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/WGIP37KEEVZPRS76US43DXU7T2 \
  | 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: b190fdfd442572f8cbfea4b9b1de9f9ebd26968e0bb45af3cfc97a3184611b8a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e5590b8058fc5b457d12221b1f71f6bf2a8c9b1a32d16335cb55150e37352a15",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2026-07-02T10:39:14Z",
    "title_canon_sha256": "8ebcb4b0428b994ded663b0fe8d2160b865ed9baf425b98d6f492fcf1afd73af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.02003",
    "kind": "arxiv",
    "version": 1
  }
}