Pith Number

pith:JTFPMPEH

pith:2015:JTFPMPEH57YD3VKIPHD7RIKZ44

not attested not anchored not stored refs pending

Beyond Hartigan Consistency: Merge Distortion Metric for Hierarchical Clustering

Justin Eldridge, Mikhail Belkin, Yusu Wang

arxiv:1506.06422 v2 · 2015-06-21 · stat.ML · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JTFPMPEH57YD3VKIPHD7RIKZ44}

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	2026-05-18T01:37:01.337928Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ccaf63c87eff03dd54879c7f8a159e7124d0aead274fa55188b5e6f66715a0d

Aliases

arxiv: 1506.06422 · arxiv_version: 1506.06422v2 · doi: 10.48550/arxiv.1506.06422 · pith_short_12: JTFPMPEH57YD · pith_short_16: JTFPMPEH57YD3VKI · pith_short_8: JTFPMPEH

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/JTFPMPEH57YD3VKIPHD7RIKZ44 \
  | 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: 4ccaf63c87eff03dd54879c7f8a159e7124d0aead274fa55188b5e6f66715a0d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "60d7f4b36cd5f7b8b4cb2c054bf9e0d3ff23e80f8fa3022e110ce84dc6bc1dc1",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2015-06-21T23:19:37Z",
    "title_canon_sha256": "b4936a59d6459aa9d3b1384123921c95c3c60d599fc61326c5125237a5132c18"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.06422",
    "kind": "arxiv",
    "version": 2
  }
}