Pith Number

pith:HPU3CUSO

pith:2024:HPU3CUSO27A4EZIYEXQTLKKY7A

not attested not anchored not stored refs pending

On Approximability of $\ell_2^2$ Min-Sum Clustering

Chris Schwiegelshohn, Euiwoong Lee, Karthik C. S., Samson Zhou, Yuval Rabani

arxiv:2412.03332 v2 · 2024-12-04 · cs.DS · cs.CC · cs.CG · 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{HPU3CUSO27A4EZIYEXQTLKKY7A}

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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

Learning-Augmented Hierarchical Clustering

Receipt and verification

First computed	2026-07-05T10:47:34.260622Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3be9b1524ed7c1c2651825e135a958f81432d0dcd5def549134412647451d16c

Aliases

arxiv: 2412.03332 · arxiv_version: 2412.03332v2 · doi: 10.48550/arxiv.2412.03332 · pith_short_12: HPU3CUSO27A4 · pith_short_16: HPU3CUSO27A4EZIY · pith_short_8: HPU3CUSO

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/HPU3CUSO27A4EZIYEXQTLKKY7A \
  | 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: 3be9b1524ed7c1c2651825e135a958f81432d0dcd5def549134412647451d16c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6176a940795613141090d0e8e9136a133aa282adf1d742fd7a3299a8a46df709",
    "cross_cats_sorted": [
      "cs.CC",
      "cs.CG",
      "cs.LG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2024-12-04T14:03:27Z",
    "title_canon_sha256": "f49777f124dc786abba126ff4fa34399669d3f9127aa6f1461c5deef219187ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.03332",
    "kind": "arxiv",
    "version": 2
  }
}