Pith Number

pith:E52E6VHA

pith:2026:E52E6VHAGHDD4G7VNWAIPYBZ2I

not attested not anchored not stored refs pending

Closed-Loop Graph Algorithm Execution with Small Language Models: Step Accuracy and Rollout Reliability

Michal Podstawski

arxiv:2606.24980 v1 · 2026-06-23 · 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{E52E6VHAGHDD4G7VNWAIPYBZ2I}

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	2026-06-25T00:17:47.410479Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

27744f54e031c63e1bf56d8087e039d208f70e5e9319040e6b44a35e5090295b

Aliases

arxiv: 2606.24980 · arxiv_version: 2606.24980v1 · doi: 10.48550/arxiv.2606.24980 · pith_short_12: E52E6VHAGHDD · pith_short_16: E52E6VHAGHDD4G7V · pith_short_8: E52E6VHA

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/E52E6VHAGHDD4G7VNWAIPYBZ2I \
  | 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: 27744f54e031c63e1bf56d8087e039d208f70e5e9319040e6b44a35e5090295b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "27203b55e2f3255b86decdfb2a008a1a756b3805105b7dd568c18972cfa00258",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-06-23T13:02:06Z",
    "title_canon_sha256": "843da95197b48894b726c4d69cd97204a3268e2f0bb9d8dd545490fb2f8d4356"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.24980",
    "kind": "arxiv",
    "version": 1
  }
}