Pith Number

pith:FEFCKLZG

pith:2026:FEFCKLZGABKRAX2HGJ44YGFBRU

not attested not anchored not stored refs pending

Compile to Compress: Boosting Formal Theorem Provers by Compiler Outputs

Guchan Li, Hongning Wang, Rui Tian

Compiler outputs compress diverse proof attempts into a compact set of failure modes that support local corrections and stronger theorem proving.

arxiv:2604.18587 v2 · 2026-03-13 · cs.LG · cs.AI · cs.LO · cs.PL

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FEFCKLZGABKRAX2HGJ44YGFBRU}

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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.

Claims

C1strongest claim

our approach achieves state-of-the-art performance on PutnamBench among publicly reported ∼8B and ∼32B parameter models under comparable test-time budgets

C2weakest assumption

that compilers map a vast space of diverse proof attempts to a compact set of structured failure modes that can be leveraged for efficient learning and proof exploration without accumulating long histories of attempts

C3one line summary

Compiler feedback compresses diverse proof attempts into structured failure modes for efficient local refinement, boosting LLM-based theorem provers to SOTA on PutnamBench for 8B and 32B models under fixed test-time budgets.

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-06-01T01:03:53.423143Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

290a252f260055105f473279cc18a18d1d1fd37e4837aba2c7f71af68a4d0fcf

Aliases

arxiv: 2604.18587 · arxiv_version: 2604.18587v2 · doi: 10.48550/arxiv.2604.18587 · pith_short_12: FEFCKLZGABKR · pith_short_16: FEFCKLZGABKRAX2H · pith_short_8: FEFCKLZG

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/FEFCKLZGABKRAX2HGJ44YGFBRU \
  | 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: 290a252f260055105f473279cc18a18d1d1fd37e4837aba2c7f71af68a4d0fcf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c5909645f5415efa6036b7716f8c17048252c3fd4b6a74a85885aa05b2f1e5e7",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.LO",
      "cs.PL"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-03-13T01:33:20Z",
    "title_canon_sha256": "ed92ff7aced7b8c2167c2107450b9ab358e55d03810b1e0afed5054742d303a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2604.18587",
    "kind": "arxiv",
    "version": 2
  }
}