Pith Number

pith:5GAD77AG

pith:2026:5GAD77AGJKBBZFYM4E5RZRF73X

not attested not anchored not stored refs pending

Reason, Reward, Refine: Step-Level Errors Corrections with Structured Feedback for Physics Reasoning in Small Language Models

Dhruv Jain, Rajiv Ratn Shah, Raj Jaiswal, Rishabh Dhawan, Shin'ichi Satoh, Sree Krishna Uppalapati, Tanuja Ganu

arxiv:2607.05199 v1 · 2026-07-06 · 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{5GAD77AGJKBBZFYM4E5RZRF73X}

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	2026-07-07T03:19:19.542538Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9803ffc064a821c970ce13b1cc4bfddcef31e7df161e8dcd63b1bd5c53c2f4b

Aliases

arxiv: 2607.05199 · arxiv_version: 2607.05199v1 · doi: 10.48550/arxiv.2607.05199 · pith_short_12: 5GAD77AGJKBB · pith_short_16: 5GAD77AGJKBBZFYM · pith_short_8: 5GAD77AG

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/5GAD77AGJKBBZFYM4E5RZRF73X \
  | 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: e9803ffc064a821c970ce13b1cc4bfddcef31e7df161e8dcd63b1bd5c53c2f4b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb73d3565515853e88bbff36edc7b53d0be99af11aba05dd29633bf6fc599e46",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.AI",
    "submitted_at": "2026-07-06T15:16:10Z",
    "title_canon_sha256": "7a9dcf2734bb91af4fc675ecc3ca6415e30874ad8a25ee070b2f33ec3f9ee1fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.05199",
    "kind": "arxiv",
    "version": 1
  }
}