Pith Number

pith:3T4KFDX6

pith:2024:3T4KFDX6P6Z5RBI7VOR4DGQIGJ

not attested not anchored not stored refs pending

Proportional Fairness in Non-Centroid Clustering

Evi Micha, Ioannis Caragiannis, Nisarg Shah

arxiv:2410.23273 v1 · 2024-10-30 · cs.LG · cs.AI · cs.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3T4KFDX6P6Z5RBI7VOR4DGQIGJ}

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	2026-07-05T09:28:43.121941Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dcf8a28efe7fb3d8851faba3c19a083253e02854fa65d822a4c70cda10c88f0d

Aliases

arxiv: 2410.23273 · arxiv_version: 2410.23273v1 · doi: 10.48550/arxiv.2410.23273 · pith_short_12: 3T4KFDX6P6Z5 · pith_short_16: 3T4KFDX6P6Z5RBI7 · pith_short_8: 3T4KFDX6

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/3T4KFDX6P6Z5RBI7VOR4DGQIGJ \
  | 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: dcf8a28efe7fb3d8851faba3c19a083253e02854fa65d822a4c70cda10c88f0d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "357b34f7f297d55d657fd2c83c315cb77192c97c96bb5b5731fb454280d97c80",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.GT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2024-10-30T17:53:49Z",
    "title_canon_sha256": "cda64e0c80f8b839f3a136152888cbe6a2517cce727ea3cb9b8ddd6b4a3108aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2410.23273",
    "kind": "arxiv",
    "version": 1
  }
}