Pith Number

pith:WVUUSMF3

pith:2020:WVUUSMF3TW2LDHUMN4T232CR7J

not attested not anchored not stored refs pending

Hardness of Approximation of Euclidean $k$-Median

Anup Bhattacharya, Dishant Goyal, Ragesh Jaiswal

arxiv:2011.04221 v1 · 2020-11-09 · cs.CC · cs.CG · 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{WVUUSMF3TW2LDHUMN4T232CR7J}

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

Welfare-Centric Clustering

Receipt and verification

First computed	2026-07-05T03:38:14.046059Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5694930bb9db4b19e8c6f27ade851fa66721170f49576491baca8bdf138d5ba

Aliases

arxiv: 2011.04221 · arxiv_version: 2011.04221v1 · doi: 10.48550/arxiv.2011.04221 · pith_short_12: WVUUSMF3TW2L · pith_short_16: WVUUSMF3TW2LDHUM · pith_short_8: WVUUSMF3

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/WVUUSMF3TW2LDHUMN4T232CR7J \
  | 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: b5694930bb9db4b19e8c6f27ade851fa66721170f49576491baca8bdf138d5ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf0a2d32203e0595d5fe35c3d5d003cbb67e0feaeea811be7362960c1ddd6275",
    "cross_cats_sorted": [
      "cs.CG",
      "cs.DS",
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2020-11-09T06:50:34Z",
    "title_canon_sha256": "0a3a3fcb5a421b858de39fcdd9068972b7803acd44676d525bf0eb864dae9daf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2011.04221",
    "kind": "arxiv",
    "version": 1
  }
}