Pith Number

pith:FOCU6EQJ

pith:2014:FOCU6EQJXMSS67R7KXTLB4HBG2

not attested not anchored not stored refs pending

Convex clustering via $\ell_1$ fusion penalization

Gourab Mukherjee, Peter Radchenko

arxiv:1412.0753 v5 · 2014-12-02 · stat.ME · 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{FOCU6EQJXMSS67R7KXTLB4HBG2}

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	2026-05-18T00:53:51.444486Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b854f1209bb252f7e3f55e6b0f0e136829972f4eac95af96fd6ddb14669a7eb

Aliases

arxiv: 1412.0753 · arxiv_version: 1412.0753v5 · doi: 10.48550/arxiv.1412.0753 · pith_short_12: FOCU6EQJXMSS · pith_short_16: FOCU6EQJXMSS67R7 · pith_short_8: FOCU6EQJ

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/FOCU6EQJXMSS67R7KXTLB4HBG2 \
  | 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: 2b854f1209bb252f7e3f55e6b0f0e136829972f4eac95af96fd6ddb14669a7eb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ba1a6d70ec0e9a6410fbf8f297b2bff1ebca485965f9f7215fe19e9f78e172e1",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2014-12-02T01:10:11Z",
    "title_canon_sha256": "f8dcf96e95251c463766fddd1c71394eb622340fa94738eddc1f326c05347d70"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.0753",
    "kind": "arxiv",
    "version": 5
  }
}