Pith Number

pith:Z55UXDCC

pith:2026:Z55UXDCCR6ECB5T3HIE5UUDJHS

not attested not anchored not stored refs pending

Thinking Economically: A Hierarchical Framework for Adaptive-Complexity Reasoning in LLMs

Haotian Wu, Hong Chen, Jie Zhang, Jungang Li, Junquan Huang, Puay Siew Tan, Sicheng Tao, Xuming Hu, Yibo Yan, Yubo Gao, Zihao Dongfang

arxiv:2606.01168 v1 · 2026-05-31 · cs.CL

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z55UXDCCR6ECB5T3HIE5UUDJHS}

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	2026-06-02T02:04:25.656173Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf7b4b8c428f8820f67b3a09da50693c9d4008b2801b0ad43d421f0961431c3b

Aliases

arxiv: 2606.01168 · arxiv_version: 2606.01168v1 · doi: 10.48550/arxiv.2606.01168 · pith_short_12: Z55UXDCCR6EC · pith_short_16: Z55UXDCCR6ECB5T3 · pith_short_8: Z55UXDCC

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/Z55UXDCCR6ECB5T3HIE5UUDJHS \
  | 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: cf7b4b8c428f8820f67b3a09da50693c9d4008b2801b0ad43d421f0961431c3b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1685f7f3c42373f1d8ba0ee558e230c8c2e09491c908e9fe66efd6d31f934920",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.CL",
    "submitted_at": "2026-05-31T11:20:00Z",
    "title_canon_sha256": "893a327d07718ff8c9644efba3c817bfdb5454d49ed5b973ee14bbf239245dbf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.01168",
    "kind": "arxiv",
    "version": 1
  }
}