Pith Number

pith:6SAZDN77

pith:2026:6SAZDN775OVRYPM33E4QGVNSFO

not attested not anchored not stored refs pending

Grokking as Structural Inference: Transformers Need Bayesian Lottery Tickets

Joseph An, Kai Hidajat, Solden Stoll

arxiv:2605.15787 v1 · 2026-05-15 · 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{6SAZDN775OVRYPM33E4QGVNSFO}

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	2026-05-20T00:01:18.319378Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f48191b7ffebab1c3d9bd9390355b22b8d2d532c444c22788fef1764deea7281

Aliases

arxiv: 2605.15787 · arxiv_version: 2605.15787v1 · doi: 10.48550/arxiv.2605.15787 · pith_short_12: 6SAZDN775OVR · pith_short_16: 6SAZDN775OVRYPM3 · pith_short_8: 6SAZDN77

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/6SAZDN775OVRYPM33E4QGVNSFO \
  | 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: f48191b7ffebab1c3d9bd9390355b22b8d2d532c444c22788fef1764deea7281

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "129b37ea8d5453cc396ba32f30d903f5bd3eeda89c17b92fe88513cc740f3b13",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-05-15T09:46:36Z",
    "title_canon_sha256": "0f8eae5a2ca5d9e97fa3a2e1c20caeac8569510a60d7be8892bf0eee83350e3a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.15787",
    "kind": "arxiv",
    "version": 1
  }
}