Pith Number

pith:BQYUP73S

pith:2026:BQYUP73STAOOCRTQ4P2CM2QEFF

not attested not anchored not stored refs pending

Optimistic Rates for Multiclass PAC Learning

Andi Han, Jiaojiao Jiang, Junbin Gao, Xiaoyu Li

arxiv:2608.10869 v1 · 2026-08-11 · 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{BQYUP73STAOOCRTQ4P2CM2QEFF}

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	2026-08-12T01:23:40.369635Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0c3147ff72981ce14670e3f4266a042966ab6f00a9865eb34bb681ad8b9921ce

Aliases

arxiv: 2608.10869 · arxiv_version: 2608.10869v1 · doi: 10.48550/arxiv.2608.10869 · pith_short_12: BQYUP73STAOO · pith_short_16: BQYUP73STAOOCRTQ · pith_short_8: BQYUP73S

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/BQYUP73STAOOCRTQ4P2CM2QEFF \
  | 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: 0c3147ff72981ce14670e3f4266a042966ab6f00a9865eb34bb681ad8b9921ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "90fdf5d5b603610854699d3fd55e6cfd342a0d2af015f8967ef4d7e1b23088f9",
    "cross_cats_sorted": [
      "stat.ML"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-08-11T12:46:03Z",
    "title_canon_sha256": "63d76b702fe074c918c51e7136069c0c60675be00b0ac4fd1a65ce10df17fa16"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.10869",
    "kind": "arxiv",
    "version": 1
  }
}