Pith Number

pith:D2GNXSEC

pith:2021:D2GNXSECVI4N7D6ZYM6JADM7MS

not attested not anchored not stored refs pending

Statistically Meaningful Approximation: a Case Study on Approximating Turing Machines with Transformers

Colin Wei, Tengyu Ma, Yining Chen

arxiv:2107.13163 v3 · 2021-07-28 · 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{D2GNXSECVI4N7D6ZYM6JADM7MS}

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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

2 papers in Pith

What learning algorithm is in-context learning? Investigations with linear models

A PyTorch Library of Turing-Complete Neural Networks

Receipt and verification

First computed	2026-07-05T05:56:12.603833Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1e8cdbc882aa38df8fd9c33c900d9f64a4828b69b8d48526139d6c26c288508f

Aliases

arxiv: 2107.13163 · arxiv_version: 2107.13163v3 · doi: 10.48550/arxiv.2107.13163 · pith_short_12: D2GNXSECVI4N · pith_short_16: D2GNXSECVI4N7D6Z · pith_short_8: D2GNXSEC

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/D2GNXSECVI4N7D6ZYM6JADM7MS \
  | 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: 1e8cdbc882aa38df8fd9c33c900d9f64a4828b69b8d48526139d6c26c288508f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf428cd333a45fb3bda6aa53693a9b2a2a11c98742e9fd18bf0d192d3335ae08",
    "cross_cats_sorted": [
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2021-07-28T04:28:55Z",
    "title_canon_sha256": "6eb87afcf932e54c63531ecd52e4bcee2e4d1de870d036c2702b3c31234f8b71"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.13163",
    "kind": "arxiv",
    "version": 3
  }
}