Pith Number

pith:VFS2QMAB

pith:2026:VFS2QMABFSRMBXR46YDPR5J24V

not attested not anchored not stored refs pending

CAKE: Confidence in Assignments via K-partition Ensembles

Aggelos Semoglou, John Pavlopoulos

CAKE assigns each clustering point a score in [0,1] by combining its stability across multiple k-partition runs with the consistency of its geometric fit to the assigned cluster.

arxiv:2602.18435 v2 · 2026-02-20 · cs.LG

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\usepackage{pith}
\pithnumber{VFS2QMABFSRMBXR46YDPR5J24V}

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Record completeness

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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.

Claims

C1strongest claim

The theoretical analysis shows that CAKE remains effective under noise and separates stable from unstable points.

C2weakest assumption

That an ensemble of k-partitions generated by an initialization-sensitive algorithm such as k-means will produce stability and geometric-fit statistics that meaningfully reflect true assignment reliability rather than artifacts of the chosen distance metric or initialization distribution.

C3one line summary

CAKE produces per-point confidence scores in [0,1] for clustering assignments by combining cross-run stability with local geometric consistency over an ensemble of k-partitions.

Receipt and verification

First computed	2026-05-17T23:38:59.911407Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a965a830012ca2c0de3cf606f8f53ae549d168222aaec9f756f57e3da549b337

Aliases

arxiv: 2602.18435 · arxiv_version: 2602.18435v2 · doi: 10.48550/arxiv.2602.18435 · pith_short_12: VFS2QMABFSRM · pith_short_16: VFS2QMABFSRMBXR4 · pith_short_8: VFS2QMAB

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/VFS2QMABFSRMBXR46YDPR5J24V \
  | 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: a965a830012ca2c0de3cf606f8f53ae549d168222aaec9f756f57e3da549b337

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f81c4229b79ba2d5321eae8789a01d2d098ed22ba0d943fa4004e672e47a38b7",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-02-20T18:59:53Z",
    "title_canon_sha256": "b7d9c9eba794fe3dc30e824dee097064c4b62035aecf959122567021766972b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2602.18435",
    "kind": "arxiv",
    "version": 2
  }
}