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Pith Number

pith:64XYUXPP

pith:2024:64XYUXPPLG36URFBVR66FXM523
not attested not anchored not stored refs pending

Physics of Language Models: Part 2.2, How to Learn From Mistakes on Grade-School Math Problems

Tian Ye, Yuanzhi Li, Zeyuan Allen-Zhu, Zicheng Xu

arxiv:2408.16293 v1 · 2024-08-29 · cs.CL · cs.AI · cs.LG

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\usepackage{pith}
\pithnumber{64XYUXPPLG36URFBVR66FXM523}

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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

3 papers in Pith

Receipt and verification
First computed 2026-07-05T09:00:28.977720Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

f72f8a5def59b7ea44a1ac7de2dd9dd6d3d59e5a0ba7d83874ab6a915f93768f

Aliases

arxiv: 2408.16293 · arxiv_version: 2408.16293v1 · doi: 10.48550/arxiv.2408.16293 · pith_short_12: 64XYUXPPLG36 · pith_short_16: 64XYUXPPLG36URFB · pith_short_8: 64XYUXPP
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/64XYUXPPLG36URFBVR66FXM523 \
  | 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: f72f8a5def59b7ea44a1ac7de2dd9dd6d3d59e5a0ba7d83874ab6a915f93768f
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "c4638d47942c89e3f8858d0115140cfe621e38f0b6b4b2c993c77b4016ebb87b",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CL",
    "submitted_at": "2024-08-29T06:49:20Z",
    "title_canon_sha256": "3065d82db88c779a0a3fab9e52304d6d312e8a38bf699a79327d62d606380dcc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2408.16293",
    "kind": "arxiv",
    "version": 1
  }
}