Pith Number

pith:4KFQZ4ID

pith:2026:4KFQZ4ID33B5YVETS4V5VJWJDG

not attested not anchored not stored refs pending

Tailoring Teaching to Aptitude: Direction-Adaptive Self-Distillation for LLM Reasoning

Chaozheng Wang, Hongbin Zhang, Jinpeng Wang, Kehai Chen, Min Zhang, Yang Xiang, Youcheng Pan

arxiv:2605.22263 v1 · 2026-05-21 · 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{4KFQZ4ID33B5YVETS4V5VJWJDG}

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	2026-05-22T01:04:35.124222Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e28b0cf103dec3dc5493972bdaa6c919aa6aea9e9dd4bad93208d24f3a249fe7

Aliases

arxiv: 2605.22263 · arxiv_version: 2605.22263v1 · doi: 10.48550/arxiv.2605.22263 · pith_short_12: 4KFQZ4ID33B5 · pith_short_16: 4KFQZ4ID33B5YVET · pith_short_8: 4KFQZ4ID

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/4KFQZ4ID33B5YVETS4V5VJWJDG \
  | 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: e28b0cf103dec3dc5493972bdaa6c919aa6aea9e9dd4bad93208d24f3a249fe7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e68bfd1cc43d7be412cb9346ec62a72ddecb4eef73040c182cdecbced0fab3a",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-05-21T10:07:46Z",
    "title_canon_sha256": "08d1640b9aede080c9360fa2374dbbdb58813fb03256bbdc8cc2b28e66a221e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.22263",
    "kind": "arxiv",
    "version": 1
  }
}