Pith Number

pith:C5WTVNSS

pith:2015:C5WTVNSSZKMI3KY5DNMC3VXH5B

not attested not anchored not stored refs pending

Risk Bounds For Mode Clustering

Aarti Singh, Larry Wasserman, Martin Azizyan, Yen-Chi Chen

arxiv:1505.00482 v1 · 2015-05-03 · math.ST · cs.LG · stat.ML · 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{C5WTVNSSZKMI3KY5DNMC3VXH5B}

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	2026-05-18T02:17:02.826364Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

176d3ab652ca988dab1d1b582dd6e7e854158907847dbd627b923a88fc5e34b5

Aliases

arxiv: 1505.00482 · arxiv_version: 1505.00482v1 · doi: 10.48550/arxiv.1505.00482 · pith_short_12: C5WTVNSSZKMI · pith_short_16: C5WTVNSSZKMI3KY5 · pith_short_8: C5WTVNSS

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/C5WTVNSSZKMI3KY5DNMC3VXH5B \
  | 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: 176d3ab652ca988dab1d1b582dd6e7e854158907847dbd627b923a88fc5e34b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e81334881811ddc5f948a89a6da36f6bf2e77db25d3e5c456e6aabb469330f6f",
    "cross_cats_sorted": [
      "cs.LG",
      "stat.ML",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2015-05-03T21:46:42Z",
    "title_canon_sha256": "cdffadc990260c0c1e7be2c575489d781beb9cad33bc4eb04dc2c833b2f7319d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.00482",
    "kind": "arxiv",
    "version": 1
  }
}