Pith Number

pith:LF6ZQ6XV

pith:2025:LF6ZQ6XVCMLVE6LVO3AL4FRT6D

not attested not anchored not stored refs pending

Singular leaning coefficients and efficiency in learning theory

Miki Aoyagi

arxiv:2501.12747 v2 · 2025-01-22 · stat.ML · cs.LG · math.AG · 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{LF6ZQ6XVCMLVE6LVO3AL4FRT6D}

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

PAC-Bayes Bounds for Gibbs Posteriors via Singular Learning Theory

Receipt and verification

First computed	2026-07-05T10:12:25.496156Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

597d987af5131752797576c0be1633f0fd0cc435ea027b06770619b18eff3dee

Aliases

arxiv: 2501.12747 · arxiv_version: 2501.12747v2 · doi: 10.48550/arxiv.2501.12747 · pith_short_12: LF6ZQ6XVCMLV · pith_short_16: LF6ZQ6XVCMLVE6LV · pith_short_8: LF6ZQ6XV

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/LF6ZQ6XVCMLVE6LVO3AL4FRT6D \
  | 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: 597d987af5131752797576c0be1633f0fd0cc435ea027b06770619b18eff3dee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5a9c98562663034846126b517a010032d6d8afa05f765aa8d5fd958c2da12128",
    "cross_cats_sorted": [
      "cs.LG",
      "math.AG",
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2025-01-22T09:31:02Z",
    "title_canon_sha256": "7f8dcdbcb9e755df3907e49f77955dcf5c95e0bbaaf69be3e42fbb760d1d4fad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.12747",
    "kind": "arxiv",
    "version": 2
  }
}