Pith Number

pith:SDLGBIAS

pith:2011:SDLGBIASJJ5GUVR2FBP4JN4E5W

not attested not anchored not stored refs pending

Clustering under Perturbation Resilience

Maria Florina Balcan, Yingyu Liang

arxiv:1112.0826 v5 · 2011-12-05 · 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{SDLGBIASJJ5GUVR2FBP4JN4E5W}

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.

Cited by

1 paper in Pith

The Condition-Number Principle for Prototype Clustering

Receipt and verification

First computed	2026-05-18T00:55:26.155114Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

90d660a0124a7a6a563a285fc4b784ed88acd481127d4a6fbf651b35c53a610e

Aliases

arxiv: 1112.0826 · arxiv_version: 1112.0826v5 · doi: 10.48550/arxiv.1112.0826 · pith_short_12: SDLGBIASJJ5G · pith_short_16: SDLGBIASJJ5GUVR2 · pith_short_8: SDLGBIAS

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/SDLGBIASJJ5GUVR2FBP4JN4E5W \
  | 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: 90d660a0124a7a6a563a285fc4b784ed88acd481127d4a6fbf651b35c53a610e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b5af97c1e1ea5a2e5d1865d7e9fee2b34e668f4d9be37137bcb6023f03504abf",
    "cross_cats_sorted": [
      "cs.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2011-12-05T03:42:07Z",
    "title_canon_sha256": "a8b5833d532611476be80d41290edbad5ea68dfe03d3675567abdd09d11b89b0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.0826",
    "kind": "arxiv",
    "version": 5
  }
}