Pith Number

pith:6ZTFWBON

pith:2026:6ZTFWBON4E3LFM7LRSYVR4YOSJ

not attested not anchored not stored refs pending

Minimum Description Length based Granular-Ball Tree Regularization for Spectral Clustering

Caihui Liu, Wenjing Qiu, Yong Zhang, Zeqiang Xian

arxiv:2605.22410 v1 · 2026-05-21 · 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{6ZTFWBON4E3LFM7LRSYVR4YOSJ}

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	2026-05-22T01:04:42.082902Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f6665b05cde136b2b3eb8cb158f30e925dc0f4ab4442107c5b36b456eb87d463

Aliases

arxiv: 2605.22410 · arxiv_version: 2605.22410v1 · doi: 10.48550/arxiv.2605.22410 · pith_short_12: 6ZTFWBON4E3L · pith_short_16: 6ZTFWBON4E3LFM7L · pith_short_8: 6ZTFWBON

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/6ZTFWBON4E3LFM7LRSYVR4YOSJ \
  | 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: f6665b05cde136b2b3eb8cb158f30e925dc0f4ab4442107c5b36b456eb87d463

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3db47fe29ea9b915358eaf68d3cf2c33d04898ac2baeb9797aa759efc1577828",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-05-21T12:36:24Z",
    "title_canon_sha256": "46f314674e1b13aa6f5b7b823750f144e8fb83dc3d59e90df94622b95e6e51bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.22410",
    "kind": "arxiv",
    "version": 1
  }
}