Pith Number

pith:BWXLANGL

pith:2011:BWXLANGLY2LCRJE2HD2UFNE4PB

not attested not anchored not stored refs pending

Statistical Learning Theory of Quasi-Regular Cases

Koshi Yamada, Sumio Watanabe

arxiv:1111.1832 v2 · 2011-11-08 · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BWXLANGLY2LCRJE2HD2UFNE4PB}

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	2026-05-18T01:59:43.900917Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0daeb034cbc69628a49a38f542b49c785a914f4f89d41e00428d6cee9dee565f

Aliases

arxiv: 1111.1832 · arxiv_version: 1111.1832v2 · doi: 10.48550/arxiv.1111.1832 · pith_short_12: BWXLANGLY2LC · pith_short_16: BWXLANGLY2LCRJE2 · pith_short_8: BWXLANGL

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/BWXLANGLY2LCRJE2HD2UFNE4PB \
  | 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: 0daeb034cbc69628a49a38f542b49c785a914f4f89d41e00428d6cee9dee565f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a64bb642a62773f49ae81dd8a011c4308ac979486ad6c5b8520363743631a04e",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2011-11-08T09:01:39Z",
    "title_canon_sha256": "cd28e972469d473f9c1fef9de2aa6c000b9b4b95badfc8012a4894d39ffca731"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.1832",
    "kind": "arxiv",
    "version": 2
  }
}