Pith Number

pith:TWDCVDPS

pith:2026:TWDCVDPSKUYVJLFTBIKNSFTQYZ

not attested not anchored not stored refs pending

From Reasoning Traces to Reusable Modules: Understanding Compositional Generalization in Language Model Reasoning

Eric P. Xing, Guangyi Chen, Kun Zhang, Lingjing Kong, Martin Q. Ma, Mikhail Yurochkin, Ruslan Salakhutdinov, Taylor W. Killian, Xiangchen Song, Xin Liu, Yuekai Sun, Zhengzhong Liu

arxiv:2606.18089 v1 · 2026-06-16 · 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{TWDCVDPSKUYVJLFTBIKNSFTQYZ}

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	2026-06-19T16:10:48.244951Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9d862a8df2553154acb30a14d91670c67d5210f80f88f5ad0d896322bf410048

Aliases

arxiv: 2606.18089 · arxiv_version: 2606.18089v1 · doi: 10.48550/arxiv.2606.18089 · pith_short_12: TWDCVDPSKUYV · pith_short_16: TWDCVDPSKUYVJLFT · pith_short_8: TWDCVDPS

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/TWDCVDPSKUYVJLFTBIKNSFTQYZ \
  | 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: 9d862a8df2553154acb30a14d91670c67d5210f80f88f5ad0d896322bf410048

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1fed17105adde5a964ce6c2a8ee297ce5751060a102671e4a40801f5468ee375",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-06-16T15:55:28Z",
    "title_canon_sha256": "8a7c3dc9f0dca2cfaaed713955b6b21842483e240f10445977481081e8d662b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.18089",
    "kind": "arxiv",
    "version": 1
  }
}