Pith Number

pith:BZ7WVKG2

pith:2026:BZ7WVKG2WGK4RTW52GSPGRWKGG

not attested not anchored not stored refs pending

How Linear Is a Transformer Feed-Forward Block? Per-Block Linear Recoverability Is Learned, Not Architectural

Stuart Whipp

arxiv:2606.19379 v1 · 2026-06-12 · cs.LG · cs.AI · cs.CL

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BZ7WVKG2WGK4RTW52GSPGRWKGG}

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	2026-06-19T16:12:23.632788Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0e7f6aa8dab195c8ceddd1a4f346ca31bbced225246e905e05bcd1cb75b85731

Aliases

arxiv: 2606.19379 · arxiv_version: 2606.19379v1 · doi: 10.48550/arxiv.2606.19379 · pith_short_12: BZ7WVKG2WGK4 · pith_short_16: BZ7WVKG2WGK4RTW5 · pith_short_8: BZ7WVKG2

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/BZ7WVKG2WGK4RTW52GSPGRWKGG \
  | 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: 0e7f6aa8dab195c8ceddd1a4f346ca31bbced225246e905e05bcd1cb75b85731

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "33ecd2d53a88730d5f4efdc5f04bf51b9db2b4551867a92d2ebbd45eb227cf3f",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.CL"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-06-12T10:39:39Z",
    "title_canon_sha256": "e20b4df8eb6d80255a5357a292d6ce2e666258f6da96b1e36f07d8bf51aa714d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.19379",
    "kind": "arxiv",
    "version": 1
  }
}