Pith Number

pith:MIC25EWJ

pith:2025:MIC25EWJNJR5XV7QTFQU736SS5

not attested not anchored not stored refs pending

Batch learning equals online learning in Bayesian supervised learning

H\^ong V\^an L\^e

arxiv:2510.16892 v5 · 2025-10-19 · 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{MIC25EWJNJR5XV7QTFQU736SS5}

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	2026-05-22T02:04:37.403072Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6205ae92c96a63dbd7f099614fefd29764aa1007b2a93ab643e17a84c6edc334

Aliases

arxiv: 2510.16892 · arxiv_version: 2510.16892v5 · doi: 10.48550/arxiv.2510.16892 · pith_short_12: MIC25EWJNJR5 · pith_short_16: MIC25EWJNJR5XV7Q · pith_short_8: MIC25EWJ

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/MIC25EWJNJR5XV7QTFQU736SS5 \
  | 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: 6205ae92c96a63dbd7f099614fefd29764aa1007b2a93ab643e17a84c6edc334

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "12fdfc3437ba3c18cc66d40aebbc0e4cd9ea68cceaef8128c4d5d8573d7a12e5",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2025-10-19T15:39:47Z",
    "title_canon_sha256": "a6c8203927031bb34f80b3fe5fd7c195b4ad875472a7e70241596a8db972a241"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2510.16892",
    "kind": "arxiv",
    "version": 5
  }
}