Pith Number

pith:LJ3HPKOY

pith:2012:LJ3HPKOYW3PACS7ZGJ33MIAN4A

not attested not anchored not stored refs pending

Improved Spectral-Norm Bounds for Clustering

Or Sheffet, Pranjal Awasthi

arxiv:1206.3204 v2 · 2012-06-14 · cs.LG · cs.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LJ3HPKOYW3PACS7ZGJ33MIAN4A}

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	2026-05-18T03:53:31.198692Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a7677a9d8b6de014bf93277b6200de03d3168230f69dd3458b2a130315d80c8

Aliases

arxiv: 1206.3204 · arxiv_version: 1206.3204v2 · doi: 10.48550/arxiv.1206.3204 · pith_short_12: LJ3HPKOYW3PA · pith_short_16: LJ3HPKOYW3PACS7Z · pith_short_8: LJ3HPKOY

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/LJ3HPKOYW3PACS7ZGJ33MIAN4A \
  | 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: 5a7677a9d8b6de014bf93277b6200de03d3168230f69dd3458b2a130315d80c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b9577685521355fc1c7b25c6764db5b1a97f20f2384c27329b66242b22f78327",
    "cross_cats_sorted": [
      "cs.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2012-06-14T18:23:46Z",
    "title_canon_sha256": "47f4c70ce973187877109fd0d335a3ec76e28e1ab4a1e6c80b127800c71a5bff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.3204",
    "kind": "arxiv",
    "version": 2
  }
}