Pith Number

pith:A7C3M6MO

pith:2026:A7C3M6MOJU5YTTBX244OG6A5VF

not attested not anchored not stored refs pending

Multi-kernel spectral clustering: Entrywise eigenvector perturbation bounds and exact recovery

Guangming Pan, Yinbing Zhou, Zeqin Lin, Zhixiang Zhang

arxiv:2608.08704 v1 · 2026-08-09 · stat.ML · cs.LG · 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{A7C3M6MOJU5YTTBX244OG6A5VF}

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	2026-08-11T01:25:05.868901Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

07c5b6798e4d3b89cc37d738e3781da942b7fe0d5efdf3be105cf9cd960029e8

Aliases

arxiv: 2608.08704 · arxiv_version: 2608.08704v1 · doi: 10.48550/arxiv.2608.08704 · pith_short_12: A7C3M6MOJU5Y · pith_short_16: A7C3M6MOJU5YTTBX · pith_short_8: A7C3M6MO

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/A7C3M6MOJU5YTTBX244OG6A5VF \
  | 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: 07c5b6798e4d3b89cc37d738e3781da942b7fe0d5efdf3be105cf9cd960029e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca33183b0b7c3a6ac45b027b3de3145e0c3f3bd1d755ab79d0ccd2dc2a68e635",
    "cross_cats_sorted": [
      "cs.LG",
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2026-08-09T13:34:27Z",
    "title_canon_sha256": "58dc7d5d20b6c41d6c8af9cf54499aa49582eeaf4f9fbef4c5371c3f9478a6b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.08704",
    "kind": "arxiv",
    "version": 1
  }
}