Pith Number

pith:FIGYT25Q

pith:2018:FIGYT25QVN3TJFTLHBCALWG4D7

not attested not anchored not stored refs pending

Private PAC learning implies finite Littlestone dimension

Maryanthe Malliaris, Noga Alon, Roi Livni, Shay Moran

arxiv:1806.00949 v3 · 2018-06-04 · cs.LG · cs.AI · cs.CR · math.LO · 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{FIGYT25QVN3TJFTLHBCALWG4D7}

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	2026-05-17T23:51:49.357985Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a0d89ebb0ab7734966b384405d8dc1fd37448e219705fa442514e4eb353e1a1

Aliases

arxiv: 1806.00949 · arxiv_version: 1806.00949v3 · doi: 10.48550/arxiv.1806.00949 · pith_short_12: FIGYT25QVN3T · pith_short_16: FIGYT25QVN3TJFTL · pith_short_8: FIGYT25Q

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/FIGYT25QVN3TJFTLHBCALWG4D7 \
  | 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: 2a0d89ebb0ab7734966b384405d8dc1fd37448e219705fa442514e4eb353e1a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "87795b57a6ca8c698d36084f71b9399b91b3509e797448f3d840b3169453c09c",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.CR",
      "math.LO",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2018-06-04T04:35:29Z",
    "title_canon_sha256": "93aec2abd55518d22241ac5d92ffecc354806b53fef1507da0adbd42f990d645"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.00949",
    "kind": "arxiv",
    "version": 3
  }
}