Pith Number

pith:TCKAWUFM

pith:2026:TCKAWUFM5XT4D4KL5LCXWWHZQF

not attested not anchored not stored refs pending

Select and Improve: Understanding the Mechanics of Post-Training for Reasoning

Akshay Krishnamurthy, Audrey Huang, Nived Rajaraman

arxiv:2606.13125 v1 · 2026-06-11 · 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{TCKAWUFM5XT4D4KL5LCXWWHZQF}

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	2026-06-12T01:09:41.635994Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

98940b50acede7c1f14beac57b58f981719a1b90811677f6c265cde73d244356

Aliases

arxiv: 2606.13125 · arxiv_version: 2606.13125v1 · doi: 10.48550/arxiv.2606.13125 · pith_short_12: TCKAWUFM5XT4 · pith_short_16: TCKAWUFM5XT4D4KL · pith_short_8: TCKAWUFM

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/TCKAWUFM5XT4D4KL5LCXWWHZQF \
  | 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: 98940b50acede7c1f14beac57b58f981719a1b90811677f6c265cde73d244356

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0017fd9eac80f58cad592ba99b2e7c5fd888b0ff94ca3938dc1774ae97f9b216",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-06-11T09:51:35Z",
    "title_canon_sha256": "9d020ae80ca738df6fb6b68254d7fbe6ae229bc2c5f58e80186502df46b3e636"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.13125",
    "kind": "arxiv",
    "version": 1
  }
}