Pith Number

pith:DOZ3LXWX

pith:2014:DOZ3LXWXRAZKSKQA6LPGMNB52J

not attested not anchored not stored refs pending

PAC Learning, VC Dimension, and the Arithmetic Hierarchy

Wesley Calvert

arxiv:1406.1111 v1 · 2014-06-04 · math.LO · cs.LG · cs.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DOZ3LXWXRAZKSKQA6LPGMNB52J}

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	2026-05-18T02:50:30.315888Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1bb3b5ded78832a92a00f2de66343dd2414ac208a547043277e862523225a2ad

Aliases

arxiv: 1406.1111 · arxiv_version: 1406.1111v1 · doi: 10.48550/arxiv.1406.1111 · pith_short_12: DOZ3LXWXRAZK · pith_short_16: DOZ3LXWXRAZKSKQA · pith_short_8: DOZ3LXWX

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/DOZ3LXWXRAZKSKQA6LPGMNB52J \
  | 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: 1bb3b5ded78832a92a00f2de66343dd2414ac208a547043277e862523225a2ad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7d28fc5b4fb95e5a20e4e31effb943f99f46e9fe7f27d179ad04ab70d15f4f2",
    "cross_cats_sorted": [
      "cs.LG",
      "cs.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2014-06-04T16:59:33Z",
    "title_canon_sha256": "a2ba06bd86e9623dd5ee96ed130070071968f37c05abe01db3ea3e865cb2fe48"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.1111",
    "kind": "arxiv",
    "version": 1
  }
}