Pith Number

pith:63HQDIKJ

pith:2013:63HQDIKJWKWYOZRGJTKSJLC6RC

not attested not anchored not stored refs pending

Learning Theory in the Arithmetic Hierarchy

Achilles Beros

arxiv:1302.7069 v1 · 2013-02-28 · 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{63HQDIKJWKWYOZRGJTKSJLC6RC}

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	2026-05-18T03:32:17.590720Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f6cf01a149b2ad8766264cd524ac5e889baa6949cc0f5b981ef90daadf7c98ed

Aliases

arxiv: 1302.7069 · arxiv_version: 1302.7069v1 · doi: 10.48550/arxiv.1302.7069 · pith_short_12: 63HQDIKJWKWY · pith_short_16: 63HQDIKJWKWYOZRG · pith_short_8: 63HQDIKJ

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/63HQDIKJWKWYOZRGJTKSJLC6RC \
  | 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: f6cf01a149b2ad8766264cd524ac5e889baa6949cc0f5b981ef90daadf7c98ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "37aad75ecdd1bbcb03252be18f46382482a624a7713b64086fd8fffaf62c7505",
    "cross_cats_sorted": [
      "cs.LG",
      "cs.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2013-02-28T03:35:18Z",
    "title_canon_sha256": "cbfe8b090fd62c549469799b6bfae7521b0635acecb606266271dbd75242afa4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.7069",
    "kind": "arxiv",
    "version": 1
  }
}