Pith Number

pith:6XQ2NJX3

pith:2026:6XQ2NJX3UP2YBFQYZCQRNWF4W4

not attested not anchored not stored refs pending

The Optimal Sample Complexity of Learning Autoregressive Chain-of-Thought

Zhiyuan Li

arxiv:2607.07423 v1 · 2026-07-08 · cs.LG · stat.ML

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6XQ2NJX3UP2YBFQYZCQRNWF4W4}

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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.

Cited by

1 paper in Pith

Stochastic Autoregressive Learning

Receipt and verification

First computed	2026-07-09T01:20:24.545423Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f5e1a6a6fba3f5809618c8a116d8bcb7032afb2cef8406f2f312c8bb6c715d2e

Aliases

arxiv: 2607.07423 · arxiv_version: 2607.07423v1 · doi: 10.48550/arxiv.2607.07423 · pith_short_12: 6XQ2NJX3UP2Y · pith_short_16: 6XQ2NJX3UP2YBFQY · pith_short_8: 6XQ2NJX3

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/6XQ2NJX3UP2YBFQYZCQRNWF4W4 \
  | 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: f5e1a6a6fba3f5809618c8a116d8bcb7032afb2cef8406f2f312c8bb6c715d2e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "742253950980bf76e45f0195ec9d2f346b56393e10379fa5a4a365046e521427",
    "cross_cats_sorted": [
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-07-08T13:49:54Z",
    "title_canon_sha256": "a81b422e3b3278cd2abb8c31c35c1e0998d7ac4bcd5fcac89ab38b2a32455933"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.07423",
    "kind": "arxiv",
    "version": 1
  }
}