Pith Number

pith:QCBKJBQY

pith:2024:QCBKJBQYSXLBMBK4NA46V5UOYO

not attested not anchored not stored refs pending

Towards Empirical Interpretation of Internal Circuits and Properties in Grokked Transformers on Modular Polynomials

Gouki Minegishi, Hiroki Furuta, Yusuke Iwasawa, Yutaka Matsuo

arxiv:2402.16726 v4 · 2024-02-26 · 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{QCBKJBQYSXLBMBK4NA46V5UOYO}

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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.

Cited by

1 paper in Pith

Model Capacity Determines Grokking through Competing Memorisation and Generalisation Speeds

Receipt and verification

First computed	2026-07-05T09:55:08.431216Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8082a4861895d616055c6839eaf68ec38afc8674afb04d3b3202fe8f9115db7c

Aliases

arxiv: 2402.16726 · arxiv_version: 2402.16726v4 · doi: 10.48550/arxiv.2402.16726 · pith_short_12: QCBKJBQYSXLB · pith_short_16: QCBKJBQYSXLBMBK4 · pith_short_8: QCBKJBQY

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/QCBKJBQYSXLBMBK4NA46V5UOYO \
  | 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: 8082a4861895d616055c6839eaf68ec38afc8674afb04d3b3202fe8f9115db7c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "60338f9e49fe0a77cb2063cdf7a00db36f2d9ef0bba8a29396b9a234d1d4c445",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2024-02-26T16:48:12Z",
    "title_canon_sha256": "f576425a5ee4898b3e178e9c04a62390d0f7e165067df929ad20d3c0696da77f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2402.16726",
    "kind": "arxiv",
    "version": 4
  }
}