Pith Number

pith:JPF5L2ZX

pith:2026:JPF5L2ZXYTE3AZ3ECWXNVXTYKT

not attested not anchored not stored refs pending

Optuna Constrained Tree-Structured Parzen Estimator Is a Joint Density Generalization of c-TPE

Kaichi Irie, Shuhei Watanabe

arxiv:2606.09889 v1 · 2026-06-03 · cs.LG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JPF5L2ZXYTE3AZ3ECWXNVXTYKT}

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	2026-06-10T00:08:31.497046Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4bcbd5eb37c4c9b0676415aedade7854ee1f8a2822d46b9071b54e7aac0afc27

Aliases

arxiv: 2606.09889 · arxiv_version: 2606.09889v1 · doi: 10.48550/arxiv.2606.09889 · pith_short_12: JPF5L2ZXYTE3 · pith_short_16: JPF5L2ZXYTE3AZ3E · pith_short_8: JPF5L2ZX

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/JPF5L2ZXYTE3AZ3ECWXNVXTYKT \
  | 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: 4bcbd5eb37c4c9b0676415aedade7854ee1f8a2822d46b9071b54e7aac0afc27

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bace17a52039e5711acbf1ec561698228d45f75619added0625a3ea57cea57f4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-06-03T11:16:59Z",
    "title_canon_sha256": "5eb2bc25a44fda28d013d328b5bf472fa9776b74d1ba3aca5f42e6f6583991ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.09889",
    "kind": "arxiv",
    "version": 1
  }
}