Pith Number

pith:4LENV3XO

pith:2024:4LENV3XOVB623BDGCEZUCDHWBA

not attested not anchored not stored refs pending

MuMath-Code: Combining Tool-Use Large Language Models with Multi-perspective Data Augmentation for Mathematical Reasoning

Guoqiang Zhong, Jinfeng Bai, Shuo Yin, Weihao You, Zhilong Ji

arxiv:2405.07551 v1 · 2024-05-13 · cs.CL · cs.AI

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\usepackage{pith}
\pithnumber{4LENV3XOVB623BDGCEZUCDHWBA}

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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

Can Large Models Teach Student Models to Solve Mathematical Problems Like Human Beings? A Reasoning Distillation Method via Multi-LoRA Interaction

Receipt and verification

First computed	2026-07-05T08:18:24.536003Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2c8daeeeea87dad84661133410cf6082ecb65b030a8060fef21138d59b75389

Aliases

arxiv: 2405.07551 · arxiv_version: 2405.07551v1 · doi: 10.48550/arxiv.2405.07551 · pith_short_12: 4LENV3XOVB62 · pith_short_16: 4LENV3XOVB623BDG · pith_short_8: 4LENV3XO

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/4LENV3XOVB623BDGCEZUCDHWBA \
  | 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: e2c8daeeeea87dad84661133410cf6082ecb65b030a8060fef21138d59b75389

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d7c5309a0f8fd1c566af65de5b3a72a9728df79447857d3f3a8cd86a82da7751",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CL",
    "submitted_at": "2024-05-13T08:32:19Z",
    "title_canon_sha256": "0db9a7e687112c77a314cfa63e2ff524a6c990146c6d35eb218269be133a3739"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2405.07551",
    "kind": "arxiv",
    "version": 1
  }
}