Pith Number

pith:BHJGUFW5

pith:2026:BHJGUFW5JDGGTPA5IGE3RAZKLH

not attested not anchored not stored refs pending

SPEA2$^+$: Improved Density Estimation in SPEA2 with Provable Runtime Guarantees

Andre Opris, Dirk Sudholt, Duc-Cuong Dang

arxiv:2606.12382 v1 · 2026-06-10 · cs.NE · cs.AI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BHJGUFW5JDGGTPA5IGE3RAZKLH}

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	2026-06-11T02:09:49.235538Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

09d26a16dd48cc69bc1d4189b8832a59d08ddc48ee0fe508747d4e952ce00897

Aliases

arxiv: 2606.12382 · arxiv_version: 2606.12382v1 · doi: 10.48550/arxiv.2606.12382 · pith_short_12: BHJGUFW5JDGG · pith_short_16: BHJGUFW5JDGGTPA5 · pith_short_8: BHJGUFW5

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/BHJGUFW5JDGGTPA5IGE3RAZKLH \
  | 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: 09d26a16dd48cc69bc1d4189b8832a59d08ddc48ee0fe508747d4e952ce00897

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "38c2cf93112aa0153d67432331b86c82005c4d78fc3adf11ca08b638ca17ca83",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.NE",
    "submitted_at": "2026-06-10T17:44:23Z",
    "title_canon_sha256": "ecd62fa714ea57b54a673af44c4e68e3628dc61677f523c1f8a023d22114b3e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.12382",
    "kind": "arxiv",
    "version": 1
  }
}