Pith Number

pith:2WEJ6CQW

pith:2023:2WEJ6CQWITRYGDUSIZBO7U2SJK

not attested not anchored not stored refs pending

Proportional Fairness in Clustering: A Social Choice Perspective

Jannik Peters, Leon Kellerhals

arxiv:2310.18162 v2 · 2023-10-27 · cs.LG · cs.CY · 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{2WEJ6CQWITRYGDUSIZBO7U2SJK}

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	2026-07-05T08:22:34.425652Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d5889f0a1644e3830e924642efd3524a8cbe613704c79bd91964fca5960c2afb

Aliases

arxiv: 2310.18162 · arxiv_version: 2310.18162v2 · doi: 10.48550/arxiv.2310.18162 · pith_short_12: 2WEJ6CQWITRY · pith_short_16: 2WEJ6CQWITRYGDUS · pith_short_8: 2WEJ6CQW

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/2WEJ6CQWITRYGDUSIZBO7U2SJK \
  | 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: d5889f0a1644e3830e924642efd3524a8cbe613704c79bd91964fca5960c2afb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "93e7021e4859eb1ddc2439d16cc497d997412e16986a2415132f6993a5a6a27d",
    "cross_cats_sorted": [
      "cs.CY",
      "cs.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2023-10-27T14:12:56Z",
    "title_canon_sha256": "575e1d8e6c8d3158a11b625223fee7b37733511e8ca33cd49073ebdc4811defa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2310.18162",
    "kind": "arxiv",
    "version": 2
  }
}