Pith Number

pith:Q6KIXFNR

pith:2020:Q6KIXFNREN5AEAKLMTPL6O4ZDW

not attested not anchored not stored refs pending

A Notion of Individual Fairness for Clustering

Jamie Morgenstern, Matth\"aus Kleindessner, Pranjal Awasthi

arxiv:2006.04960 v1 · 2020-06-08 · stat.ML · 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{Q6KIXFNREN5AEAKLMTPL6O4ZDW}

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	2026-07-05T01:09:09.321988Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87948b95b1237a02014b64debf3b991d97642f202a4aabcbbeb27f84d1a7f779

Aliases

arxiv: 2006.04960 · arxiv_version: 2006.04960v1 · doi: 10.48550/arxiv.2006.04960 · pith_short_12: Q6KIXFNREN5A · pith_short_16: Q6KIXFNREN5AEAKL · pith_short_8: Q6KIXFNR

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/Q6KIXFNREN5AEAKLMTPL6O4ZDW \
  | 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: 87948b95b1237a02014b64debf3b991d97642f202a4aabcbbeb27f84d1a7f779

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "63a734e60e056b3f8d36f7edee5851d7f55b790cbbb5b4fe403d2cd6a4195fae",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2020-06-08T21:41:39Z",
    "title_canon_sha256": "222725879451b2db781dc9deac0aac52682cd082d4fabda26c16823537a69e2e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2006.04960",
    "kind": "arxiv",
    "version": 1
  }
}