Pith Number

pith:ZJFUXQ2M

pith:2025:ZJFUXQ2MWWZEP75AVEEX7JDSRO

not attested not anchored not stored refs pending

Private List Learnability vs. Online List Learnability

Hilla Schefler, Iska Tsubari, Shay Moran, Steve Hanneke

arxiv:2506.12856 v1 · 2025-06-15 · cs.LG · cs.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZJFUXQ2MWWZEP75AVEEX7JDSRO}

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.

Cited by

1 paper in Pith

An Optimal Sauer Lemma Over $k$-ary Alphabets

Receipt and verification

First computed	2026-07-05T11:22:01.449139Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca4b4bc34cb5b247ffa0a9097fa4728baf3c15b623f6dcf2e35aed218b998060

Aliases

arxiv: 2506.12856 · arxiv_version: 2506.12856v1 · doi: 10.48550/arxiv.2506.12856 · pith_short_12: ZJFUXQ2MWWZE · pith_short_16: ZJFUXQ2MWWZEP75A · pith_short_8: ZJFUXQ2M

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/ZJFUXQ2MWWZEP75AVEEX7JDSRO \
  | 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: ca4b4bc34cb5b247ffa0a9097fa4728baf3c15b623f6dcf2e35aed218b998060

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "82ab03210124d798af0b4dda62af8a8a0e1a1430d907a7f134594b4182e00db3",
    "cross_cats_sorted": [
      "cs.DS"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-06-15T14:10:46Z",
    "title_canon_sha256": "983f74ce62f63945c1ca1ae28d59db2e6b72972e40a39d9afa71bc53ace7d801"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.12856",
    "kind": "arxiv",
    "version": 1
  }
}