Pith Number

pith:CWIG4OCG

pith:2018:CWIG4OCGLN6HLGQUKZEQHSMB72

not attested not anchored not stored refs pending

An Improved Cost Function for Hierarchical Cluster Trees

Dingkang Wang, Yusu Wang

arxiv:1812.02715 v2 · 2018-12-06 · cs.DS · cs.CC · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CWIG4OCGLN6HLGQUKZEQHSMB72}

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	2026-05-17T23:58:08.325024Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

15906e38465b7c759a14564903c981feaeffa44ac715998806a76977db6bbd7a

Aliases

arxiv: 1812.02715 · arxiv_version: 1812.02715v2 · doi: 10.48550/arxiv.1812.02715 · pith_short_12: CWIG4OCGLN6H · pith_short_16: CWIG4OCGLN6HLGQU · pith_short_8: CWIG4OCG

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/CWIG4OCGLN6HLGQUKZEQHSMB72 \
  | 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: 15906e38465b7c759a14564903c981feaeffa44ac715998806a76977db6bbd7a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3fd5647f0812b71ec7c70672a072fdb63055a0f6af803d0d150038f3ebc854cd",
    "cross_cats_sorted": [
      "cs.CC",
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2018-12-06T18:50:35Z",
    "title_canon_sha256": "ca73c2d1063235c961493a9aa357421ebc9c864efb2d5e56a2e739182d71c0aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.02715",
    "kind": "arxiv",
    "version": 2
  }
}