Pith Number

pith:GZBZ4ZYM

pith:2025:GZBZ4ZYMWDHJN4IHLMJ2YTR6LD

not attested not anchored not stored refs pending

Replacing thinking with tool usage enables reasoning in small language models

Corrado Rainone, Roland Memisevic, Tim Bakker

arxiv:2507.05065 v1 · 2025-07-07 · cs.LG · cs.AI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GZBZ4ZYMWDHJN4IHLMJ2YTR6LD}

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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

SOD: Step-wise On-policy Distillation for Small Language Model Agents

Receipt and verification

First computed	2026-07-05T11:33:08.495072Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

36439e670cb0ce96f1075b13ac4e3e58de8c209adc57e6bc3b3b7313e4d67987

Aliases

arxiv: 2507.05065 · arxiv_version: 2507.05065v1 · doi: 10.48550/arxiv.2507.05065 · pith_short_12: GZBZ4ZYMWDHJ · pith_short_16: GZBZ4ZYMWDHJN4IH · pith_short_8: GZBZ4ZYM

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/GZBZ4ZYMWDHJN4IHLMJ2YTR6LD \
  | 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: 36439e670cb0ce96f1075b13ac4e3e58de8c209adc57e6bc3b3b7313e4d67987

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6032e4babf18b9468b5408f79e560756796d5992d0cdd8b5e9bb66351a2f412c",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-07-07T14:49:18Z",
    "title_canon_sha256": "65e15fcb4a14e3c21cbec38dcaa85d7cf6cbed5a5b34bf321561ebb0f228840e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.05065",
    "kind": "arxiv",
    "version": 1
  }
}