Pith Number

pith:E2CDZ5VU

pith:2019:E2CDZ5VUBDAZNVP3R3CXXTCDP4

not attested not anchored not stored refs pending

Fair Algorithms for Clustering

Deeparnab Chakrabarty, Maryam Negahbani, Nicolas J. Flores, Suman K. Bera

arxiv:1901.02393 v2 · 2019-01-08 · cs.DS · 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{E2CDZ5VUBDAZNVP3R3CXXTCDP4}

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	2026-05-17T23:43:16.970535Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

26843cf6b408c196d5fb8ec57bcc437f393d696bffa3fc8b0aebf3b93b1df714

Aliases

arxiv: 1901.02393 · arxiv_version: 1901.02393v2 · doi: 10.48550/arxiv.1901.02393 · pith_short_12: E2CDZ5VUBDAZ · pith_short_16: E2CDZ5VUBDAZNVP3 · pith_short_8: E2CDZ5VU

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/E2CDZ5VUBDAZNVP3R3CXXTCDP4 \
  | 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: 26843cf6b408c196d5fb8ec57bcc437f393d696bffa3fc8b0aebf3b93b1df714

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f985928a8c6307def1b2cb9de66b35056853215be9ca1eff3add1836c1f9f5d",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2019-01-08T16:39:16Z",
    "title_canon_sha256": "f0ef37509cf7d243e3a4f3a6ea5a37119ef9c4c6980ca58b92d38bac489c0db9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.02393",
    "kind": "arxiv",
    "version": 2
  }
}