Pith Number

pith:XYT7D3QH

pith:2017:XYT7D3QHJVI3CWAMLFFYNRMBBY

not attested not anchored not stored refs pending

Fast Exact k-Means, k-Medians and Bregman Divergence Clustering in 1D

Alexander Mathiasen, Allan Gr{\o}nlund, Jesper Sindahl Nielsen, Kasper Green Larsen, Mingzhou Song, Stefan Schneider

arxiv:1701.07204 v4 · 2017-01-25 · 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{XYT7D3QHJVI3CWAMLFFYNRMBBY}

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	2026-05-18T00:17:35.654246Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be27f1ee074d51b1580c594b86c5810e0d0266a6dfcae19eea7a94de5120a15b

Aliases

arxiv: 1701.07204 · arxiv_version: 1701.07204v4 · doi: 10.48550/arxiv.1701.07204 · pith_short_12: XYT7D3QHJVI3 · pith_short_16: XYT7D3QHJVI3CWAM · pith_short_8: XYT7D3QH

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/XYT7D3QHJVI3CWAMLFFYNRMBBY \
  | 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: be27f1ee074d51b1580c594b86c5810e0d0266a6dfcae19eea7a94de5120a15b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5dba578890757e2b18de7f81e125316e28a321c5fe9e9cb06a4464a4fd43f832",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2017-01-25T08:44:04Z",
    "title_canon_sha256": "31927831f4cb7dbe0955452a68a3093f8f2b4d525f225861f28c054dad289937"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.07204",
    "kind": "arxiv",
    "version": 4
  }
}