Pith Number

pith:IMCJBIZX

pith:2025:IMCJBIZX7ZL2ZMNF5VBMCYVI6B

not attested not anchored not stored refs pending

Nearly Optimal Sample Complexity for Learning with Label Proportions

Claudio Gentile, Haim Kaplan, Robert Busa-Fekete, Tomer Koren, Travis Dick, Uri Stemmer

arxiv:2505.05355 v2 · 2025-05-08 · 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{IMCJBIZX7ZL2ZMNF5VBMCYVI6B}

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	2026-07-05T11:12:31.353543Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

430490a337fe57acb1a5ed42c162a8f07481a9ae6d85c12c336368c966b964d0

Aliases

arxiv: 2505.05355 · arxiv_version: 2505.05355v2 · doi: 10.48550/arxiv.2505.05355 · pith_short_12: IMCJBIZX7ZL2 · pith_short_16: IMCJBIZX7ZL2ZMNF · pith_short_8: IMCJBIZX

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/IMCJBIZX7ZL2ZMNF5VBMCYVI6B \
  | 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: 430490a337fe57acb1a5ed42c162a8f07481a9ae6d85c12c336368c966b964d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a50c235fefc8db0599ba1d3998a3627bb4f7cc5965bd3238bd66267d39c44c7",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-05-08T15:45:23Z",
    "title_canon_sha256": "f1258382972cba71300b500d9e89bb5f9e4a2b0f229eb2703fd102a2a1f8b6ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.05355",
    "kind": "arxiv",
    "version": 2
  }
}