Pith Number

pith:M2Y2CJZB

pith:2021:M2Y2CJZBSGSGZOPNBAN2NCE64V

not attested not anchored not stored refs pending

Near-optimal Algorithms for Explainable k-Medians and k-Means

Konstantin Makarychev, Liren Shan

arxiv:2107.00798 v2 · 2021-07-02 · 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{M2Y2CJZBSGSGZOPNBAN2NCE64V}

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

Self-Explaining Segment Trees: A KPI-Conditioned Segmentation Framework for Business Analytics with Node-Level Explanation via Recursive Subspace Partitioning

Receipt and verification

First computed	2026-07-05T03:02:56.511286Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

66b1a1272191a46cb9ed081ba6889ee5732ecb4579bd47d5cf63b72e1d8f516e

Aliases

arxiv: 2107.00798 · arxiv_version: 2107.00798v2 · doi: 10.48550/arxiv.2107.00798 · pith_short_12: M2Y2CJZBSGSG · pith_short_16: M2Y2CJZBSGSGZOPN · pith_short_8: M2Y2CJZB

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/M2Y2CJZBSGSGZOPNBAN2NCE64V \
  | 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: 66b1a1272191a46cb9ed081ba6889ee5732ecb4579bd47d5cf63b72e1d8f516e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7bb4d3c8259e9d130bd95b5a75ef4b74bcaa5f4fe5667438c8fe8658ed801480",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2021-07-02T02:07:12Z",
    "title_canon_sha256": "ae9f4c7c9cdd4bfb1ae9483533188020574aca9c7d25f7c24cf2288b438ca5de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.00798",
    "kind": "arxiv",
    "version": 2
  }
}