Pith Number

pith:KOPUMWG4

pith:2026:KOPUMWG4GSJ3VKYL32PNXJY2DY

not attested not anchored not stored refs pending

Looped Transformers with Layer Normalization Provably Learn the Power Method

Chenyang Zhang, Lyumin Wu, Yuan Cao

arxiv:2606.00605 v1 · 2026-05-30 · cs.LG · 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{KOPUMWG4GSJ3VKYL32PNXJY2DY}

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	2026-06-02T01:03:59.479586Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

539f4658dc3493baab0bde9edba71a1e017b1324a4fedc6fc59aec6200bfecba

Aliases

arxiv: 2606.00605 · arxiv_version: 2606.00605v1 · doi: 10.48550/arxiv.2606.00605 · pith_short_12: KOPUMWG4GSJ3 · pith_short_16: KOPUMWG4GSJ3VKYL · pith_short_8: KOPUMWG4

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/KOPUMWG4GSJ3VKYL32PNXJY2DY \
  | 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: 539f4658dc3493baab0bde9edba71a1e017b1324a4fedc6fc59aec6200bfecba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "45bf1b07c2c44f00570da2feb3c2f7dd292aec129381d7d60e20d11cf57bd24e",
    "cross_cats_sorted": [
      "stat.ML"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-05-30T08:05:27Z",
    "title_canon_sha256": "c8a085a0342dbe88206fb71aa41383221cef3f72e0b02100f9cde02cbbe6ee17"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.00605",
    "kind": "arxiv",
    "version": 1
  }
}