Pith Number

pith:6IQ6Y6PE

pith:2023:6IQ6Y6PEMTGMHZ4U5YV3CEXRUP

not attested not anchored not stored refs pending

Learning the greatest common divisor: explaining transformer predictions

Fran\c{c}ois Charton

arxiv:2308.15594 v2 · 2023-08-29 · 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{6IQ6Y6PEMTGMHZ4U5YV3CEXRUP}

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.

Cited by

2 papers in Pith

Learning First Integrals via Backward-Generated Data and Guided Reinforcement Learning

The Long Delay to Arithmetic Generalization: When Learned Representations Outrun Behavior

Receipt and verification

First computed	2026-07-05T07:56:16.641756Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f221ec79e464ccc3e794ee2bb112f1a3e120aea50bee2a94ffce6b5c9af37487

Aliases

arxiv: 2308.15594 · arxiv_version: 2308.15594v2 · doi: 10.48550/arxiv.2308.15594 · pith_short_12: 6IQ6Y6PEMTGM · pith_short_16: 6IQ6Y6PEMTGMHZ4U · pith_short_8: 6IQ6Y6PE

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/6IQ6Y6PEMTGMHZ4U5YV3CEXRUP \
  | 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: f221ec79e464ccc3e794ee2bb112f1a3e120aea50bee2a94ffce6b5c9af37487

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ae622e8787718c09ebd44962141479848cc439a1507f31911e1502141b3fd45",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2023-08-29T19:38:41Z",
    "title_canon_sha256": "31d916377f4a7a296e765f70be7f56b138e51dbf575786299f928a754a77a7b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2308.15594",
    "kind": "arxiv",
    "version": 2
  }
}