Pith Number

pith:T5KKDZ4K

pith:2024:T5KKDZ4KL5GHZXNLJLLNVOSJNM

not attested not anchored not stored refs pending

A Polynomial-Time Approximation for Pairwise Fair $k$-Median Clustering

Ali Vakilian, Eden Chlamt\'a\v{c}, Mahya Jamshidian, Sayan Bandyapadhyay, Yury Makarychev, Zachary Friggstad

arxiv:2405.10378 v2 · 2024-05-16 · cs.DS · cs.AI · 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{T5KKDZ4KL5GHZXNLJLLNVOSJNM}

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.

Cited by

1 paper in Pith

Approximation Algorithms for Perfect Fair-Triangle Packing

Receipt and verification

First computed	2026-07-05T10:21:03.245017Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f54a1e78a5f4c7cddab4ad6daba496b0448693616c06fa4d7e66b44fa21d1bf

Aliases

arxiv: 2405.10378 · arxiv_version: 2405.10378v2 · doi: 10.48550/arxiv.2405.10378 · pith_short_12: T5KKDZ4KL5GH · pith_short_16: T5KKDZ4KL5GHZXNL · pith_short_8: T5KKDZ4K

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/T5KKDZ4KL5GHZXNLJLLNVOSJNM \
  | 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: 9f54a1e78a5f4c7cddab4ad6daba496b0448693616c06fa4d7e66b44fa21d1bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e75423b89bca4da2ca6cfcc091ad31b346557fea0f3a427baeeb45db73c7d969",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2024-05-16T18:17:44Z",
    "title_canon_sha256": "3c1c31078d84290700b5687c10bd9445126a6df85fa35edd41bc0e8796708412"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2405.10378",
    "kind": "arxiv",
    "version": 2
  }
}