Pith Number

pith:XWRDJXOY

pith:2024:XWRDJXOYVPMY7KUWZEBCRABZR2

not attested not anchored not stored refs pending

A column generation algorithm with dynamic constraint aggregation for minimum sum-of-squares clustering

Antonio M. Sudoso, Daniel Aloise

arxiv:2410.06187 v2 · 2024-10-08 · math.OC · 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{XWRDJXOYVPMY7KUWZEBCRABZR2}

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	2026-07-05T11:38:24.628154Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bda234ddd8abd98faa96c9022880398e8f565ac5fed5d1d6eac5d05f50551867

Aliases

arxiv: 2410.06187 · arxiv_version: 2410.06187v2 · doi: 10.48550/arxiv.2410.06187 · pith_short_12: XWRDJXOYVPMY · pith_short_16: XWRDJXOYVPMY7KUW · pith_short_8: XWRDJXOY

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/XWRDJXOYVPMY7KUWZEBCRABZR2 \
  | 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: bda234ddd8abd98faa96c9022880398e8f565ac5fed5d1d6eac5d05f50551867

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8864147d21aa96ea57a0607e3ddabcce3f3250a3295c8623ae83248253f217b8",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2024-10-08T16:51:28Z",
    "title_canon_sha256": "8895a547ed1cff83add4eb1f9f8deb674d6b22f3d01511ac52de0881ae12cae7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2410.06187",
    "kind": "arxiv",
    "version": 2
  }
}