Pith Number

pith:Q47USIN2

pith:2010:Q47USIN2VURK4ODMWXSKNKU73W

not attested not anchored not stored refs pending

Center-based Clustering under Perturbation Stability

Avrim Blum, Or Sheffet, Pranjal Awasthi

arxiv:1009.3594 v2 · 2010-09-18 · 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{Q47USIN2VURK4ODMWXSKNKU73W}

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	2026-05-18T04:15:48.121002Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

873f4921baad22ae386cb5e4a6aa9fdd99c8bcba923a2b073054d8fc57bef984

Aliases

arxiv: 1009.3594 · arxiv_version: 1009.3594v2 · doi: 10.48550/arxiv.1009.3594 · pith_short_12: Q47USIN2VURK · pith_short_16: Q47USIN2VURK4ODM · pith_short_8: Q47USIN2

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/Q47USIN2VURK4ODMWXSKNKU73W \
  | 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: 873f4921baad22ae386cb5e4a6aa9fdd99c8bcba923a2b073054d8fc57bef984

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a6a004a574ae462eb8148261092236e9248484d652575fb3d40dd0dd4ba48880",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2010-09-18T22:57:43Z",
    "title_canon_sha256": "1d88d66930d3a97a857e0afa8720bb4e2698507accb20ea477ea3055d9b6c82c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.3594",
    "kind": "arxiv",
    "version": 2
  }
}