Pith Number

pith:XI2ULD5A

pith:2026:XI2ULD5AVL5AT3AVIGWQIIOG65

not attested not anchored not stored refs pending

Steer, Don't Solve: Training Small Critic Models for Large Code Agents

Atharva Naik, Carolyn Rose, Ruichen Zhu, Shubham Gandhi, Yiqing Xie

arxiv:2606.21811 v1 · 2026-06-20 · cs.SE · cs.AI · cs.LG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XI2ULD5AVL5AT3AVIGWQIIOG65}

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.

Receipt and verification

First computed	2026-06-23T01:13:23.429993Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba35458fa0aafa09ec1541ad0421c6f74da072d4209fccd4b01bdb38907cf7e2

Aliases

arxiv: 2606.21811 · arxiv_version: 2606.21811v1 · doi: 10.48550/arxiv.2606.21811 · pith_short_12: XI2ULD5AVL5A · pith_short_16: XI2ULD5AVL5AT3AV · pith_short_8: XI2ULD5A

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/XI2ULD5AVL5AT3AVIGWQIIOG65 \
  | 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: ba35458fa0aafa09ec1541ad0421c6f74da072d4209fccd4b01bdb38907cf7e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "faa5eee88df4601ce191b5e95527cd735fb755f672eb50287d6f4bd64b6226dc",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.LG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.SE",
    "submitted_at": "2026-06-20T00:14:38Z",
    "title_canon_sha256": "4937f5bc5dbabc252e9165c6bf26dac9d172a53e8c968b247b9dd926fa838b45"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.21811",
    "kind": "arxiv",
    "version": 1
  }
}