Pith Number

pith:4I2UN5ZR

pith:2011:4I2UN5ZRL3SZOZPZD6J6CJEMUB

not attested not anchored not stored refs pending

Modern hierarchical, agglomerative clustering algorithms

Daniel M\"ullner

arxiv:1109.2378 v1 · 2011-09-12 · stat.ML · cs.DS

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4I2UN5ZRL3SZOZPZD6J6CJEMUB}

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

11 papers in Pith

Graph-based Complexity Forecasts in UK En Route Airspace Using Relevant Aircraft Interactions

CVSearch: Empowering Multimodal LLMs with Cognitive Visual Search for High-Resolution Image Perception

Causal Unsupervised Semantic Segmentation

Improve Large Language Model Systems with User Logs

No-regret optimization of time-varying bilevel problems

Receipt and verification

First computed	2026-05-18T04:13:37.819571Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e23546f7315ee59765f91f93e1248ca071661366c72f0f824f4295294b545556

Aliases

arxiv: 1109.2378 · arxiv_version: 1109.2378v1 · doi: 10.48550/arxiv.1109.2378 · pith_short_12: 4I2UN5ZRL3SZ · pith_short_16: 4I2UN5ZRL3SZOZPZ · pith_short_8: 4I2UN5ZR

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/4I2UN5ZRL3SZOZPZD6J6CJEMUB \
  | 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: e23546f7315ee59765f91f93e1248ca071661366c72f0f824f4295294b545556

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fbdbc5185596e25281a7dbffd5f82b60d1d81710e15995346679cead7c9cec79",
    "cross_cats_sorted": [
      "cs.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2011-09-12T05:49:11Z",
    "title_canon_sha256": "85c060be32bc1a426f52431916f1b54a479ba0bb1937f5654c9f3b4ffcb90f20"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.2378",
    "kind": "arxiv",
    "version": 1
  }
}