Pith Number

pith:PWT7IR4A

pith:2026:PWT7IR4AVEOJOEN5FAJ7IVBTO7

not attested not anchored not stored refs pending

A Measure-Theoretic Analysis of Reasoning: Structural Generalization and Approximation Limits

Xiaoyin Chen, Xuehai Zhou, Yifu Zhang, Yuyang Zhang

arxiv:2605.19944 v1 · 2026-05-19 · cs.LG · cs.AI · cs.CC · 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{PWT7IR4AVEOJOEN5FAJ7IVBTO7}

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	2026-05-20T02:05:56.409614Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7da7f44780a91c9711bd2813f4543377f848fc3c435a002ba3a5172cdbf0af1e

Aliases

arxiv: 2605.19944 · arxiv_version: 2605.19944v1 · doi: 10.48550/arxiv.2605.19944 · pith_short_12: PWT7IR4AVEOJ · pith_short_16: PWT7IR4AVEOJOEN5 · pith_short_8: PWT7IR4A

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/PWT7IR4AVEOJOEN5FAJ7IVBTO7 \
  | 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: 7da7f44780a91c9711bd2813f4543377f848fc3c435a002ba3a5172cdbf0af1e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6daa52df0526bc876c69d3c1bcc273bf733241195e3e553fb1613e3f85196db5",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.CC",
      "cs.CL"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-05-19T15:00:51Z",
    "title_canon_sha256": "82bd0d8036862b91c0e6b3000338efa8aa67792d4d900a987a3cebcc7bbc06dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.19944",
    "kind": "arxiv",
    "version": 1
  }
}