Pith Number

pith:MS64X66Q

pith:2026:MS64X66QZGEWBY3AZGH77LIEM2

not attested not anchored not stored refs pending

From Betting to Empirical Bernstein LIL

Francesco Orabona

arxiv:2605.22124 v1 · 2026-05-21 · stat.ML · cs.LG · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MS64X66QZGEWBY3AZGH77LIEM2}

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	2026-05-22T01:04:27.062820Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

64bdcbfbd0c98960e360c98fffad04669beb09a28d0ea64e1ff2522e6d69ba78

Aliases

arxiv: 2605.22124 · arxiv_version: 2605.22124v1 · doi: 10.48550/arxiv.2605.22124 · pith_short_12: MS64X66QZGEW · pith_short_16: MS64X66QZGEWBY3A · pith_short_8: MS64X66Q

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/MS64X66QZGEWBY3AZGH77LIEM2 \
  | 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: 64bdcbfbd0c98960e360c98fffad04669beb09a28d0ea64e1ff2522e6d69ba78

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d4217c3bc5eb15c5f84af9d6e934dd07a2232c8b5da3cbeb6b258cd262cd9b6d",
    "cross_cats_sorted": [
      "cs.LG",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2026-05-21T07:58:29Z",
    "title_canon_sha256": "1f744abf3978d8b4bb590adefcc48e48e5ef4d805bfe5dadae2baa7fc86db468"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.22124",
    "kind": "arxiv",
    "version": 1
  }
}