Pith Number

pith:DJPA7JG7

pith:2013:DJPA7JG7UVYAOKBAI4C3L4UJML

not attested not anchored not stored refs pending

On a Clustering Criterion for Dependent Observations

Karthik Bharath

arxiv:1311.3998 v1 · 2013-11-15 · math.ST · math.PR · 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{DJPA7JG7UVYAOKBAI4C3L4UJML}

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	2026-05-18T03:06:53.972311Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a5e0fa4dfa5700728204705b5f28962fcd5b25b40bda75657939918d1a90055

Aliases

arxiv: 1311.3998 · arxiv_version: 1311.3998v1 · doi: 10.48550/arxiv.1311.3998 · pith_short_12: DJPA7JG7UVYA · pith_short_16: DJPA7JG7UVYAOKBA · pith_short_8: DJPA7JG7

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/DJPA7JG7UVYAOKBAI4C3L4UJML \
  | 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: 1a5e0fa4dfa5700728204705b5f28962fcd5b25b40bda75657939918d1a90055

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c05ec2e85b7a791702002722d9a83ab9499c3450618082c2690caa5803e5af06",
    "cross_cats_sorted": [
      "math.PR",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2013-11-15T23:12:55Z",
    "title_canon_sha256": "d485ce9e63adcff500a4208f8eb0aa32d85cf2a1575445015f1f0563820eb01c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.3998",
    "kind": "arxiv",
    "version": 1
  }
}