Pith Number

pith:SYO4IKLP

pith:2026:SYO4IKLPDCYI3SGGJMCPW2BBYN

not attested not anchored not stored refs pending

On the Cost and Benefit of Chain of Thought: A Learning-Theoretic Perspective

Tommaso Cesari, Yongyi Mao, Yue Zhang, Zhiyi Dong

arxiv:2605.21260 v1 · 2026-05-20 · 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{SYO4IKLPDCYI3SGGJMCPW2BBYN}

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	2026-05-21T02:05:25.443817Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

961dc4296f18b08dc8c64b04fb6821c34da27f110cfed7545300b7e4ce1b1104

Aliases

arxiv: 2605.21260 · arxiv_version: 2605.21260v1 · doi: 10.48550/arxiv.2605.21260 · pith_short_12: SYO4IKLPDCYI · pith_short_16: SYO4IKLPDCYI3SGG · pith_short_8: SYO4IKLP

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/SYO4IKLPDCYI3SGGJMCPW2BBYN \
  | 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: 961dc4296f18b08dc8c64b04fb6821c34da27f110cfed7545300b7e4ce1b1104

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b3cece2b11642441650bd29b6b9d8dee41f07c2f776c6cd565edf211b61539c6",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-05-20T14:51:20Z",
    "title_canon_sha256": "c5537c603f445efd9e508a5f8b165e8ee9e64d822b420c9599f0aab7be4ffb97"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.21260",
    "kind": "arxiv",
    "version": 1
  }
}