Pith Number

pith:V6WNIAWM

pith:2026:V6WNIAWMFL7SCBXBGY2BMHF5VY

not attested not anchored not stored refs pending

Gated MLPs as Symmetry-Broken Rank-1 Bilinear Attention

Nathan Breslow

arxiv:2606.22172 v1 · 2026-06-20 · cs.LG · cs.AI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V6WNIAWMFL7SCBXBGY2BMHF5VY}

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	2026-06-23T02:13:30.982547Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

afacd402cc2aff2106e13634161cbdae005e0d0f055577489a84b7c574036252

Aliases

arxiv: 2606.22172 · arxiv_version: 2606.22172v1 · doi: 10.48550/arxiv.2606.22172 · pith_short_12: V6WNIAWMFL7S · pith_short_16: V6WNIAWMFL7SCBXB · pith_short_8: V6WNIAWM

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/V6WNIAWMFL7SCBXBGY2BMHF5VY \
  | 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: afacd402cc2aff2106e13634161cbdae005e0d0f055577489a84b7c574036252

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b42c77e67d7357f72d12334dbc59d4b746383af83cca1a0b9a0dd08dd812caa1",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-06-20T17:59:46Z",
    "title_canon_sha256": "854236d30f5c0316833b747686283033e65ad67df473ae16a41fe162108ce594"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.22172",
    "kind": "arxiv",
    "version": 1
  }
}