Pith Number

pith:IUCB4GYJ

pith:2024:IUCB4GYJCEEL557S6G53ZUZ6VU

not attested not anchored not stored refs pending

Pre-trained Large Language Models Use Fourier Features to Compute Addition

Deqing Fu, Robin Jia, Tianyi Zhou, Vatsal Sharan

arxiv:2406.03445 v1 · 2024-06-05 · cs.LG · cs.CL

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\usepackage{pith}
\pithnumber{IUCB4GYJCEEL557S6G53ZUZ6VU}

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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

FoNE: Precise Single-Token Number Embeddings via Fourier Features

Receipt and verification

First computed	2026-07-05T08:27:56.824755Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

45041e1b091108bef7f2f1bbbcd33ead39f8612548a91c69d3add56199017bec

Aliases

arxiv: 2406.03445 · arxiv_version: 2406.03445v1 · doi: 10.48550/arxiv.2406.03445 · pith_short_12: IUCB4GYJCEEL · pith_short_16: IUCB4GYJCEEL557S · pith_short_8: IUCB4GYJ

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/IUCB4GYJCEEL557S6G53ZUZ6VU \
  | 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: 45041e1b091108bef7f2f1bbbcd33ead39f8612548a91c69d3add56199017bec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a9578c28a643c382d0a4116bef598001664fecfef1c66997c5f5a9d09034f36",
    "cross_cats_sorted": [
      "cs.CL"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2024-06-05T16:40:53Z",
    "title_canon_sha256": "bde87c8f622650a94d987079bf7aca8fa9a7576fa3634da50b92c6ec06347011"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2406.03445",
    "kind": "arxiv",
    "version": 1
  }
}