Pith Number

pith:QOWJTYBX

pith:2026:QOWJTYBXBCSGHQSKS6OLDJ6F76

not attested not anchored not stored refs pending

On Unified and Sharpened CMI Bounds for Generalization Errors

Jingge Zhu, Margreta Kuijper, Matthias Frey, Yang Lu

arxiv:2605.21056 v1 · 2026-05-20 · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QOWJTYBXBCSGHQSKS6OLDJ6F76}

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	2026-05-21T01:05:34.377389Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

83ac99e03708a463c24a979cb1a7c5ff819b57ea12bbb569e5c299c0271d285f

Aliases

arxiv: 2605.21056 · arxiv_version: 2605.21056v1 · doi: 10.48550/arxiv.2605.21056 · pith_short_12: QOWJTYBXBCSG · pith_short_16: QOWJTYBXBCSGHQSK · pith_short_8: QOWJTYBX

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/QOWJTYBXBCSGHQSKS6OLDJ6F76 \
  | 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: 83ac99e03708a463c24a979cb1a7c5ff819b57ea12bbb569e5c299c0271d285f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4470c34cba3ea899961b27ea526886c6c1a07a00aa2c48cc81c28c589927cd74",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2026-05-20T11:42:35Z",
    "title_canon_sha256": "aefbd23a10fba5955513f602b9d4e966aecbe8368f04c01683ba8aeb8189def4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.21056",
    "kind": "arxiv",
    "version": 1
  }
}