Pith Number

pith:JATJO7LZ

pith:2025:JATJO7LZPMMEBKZAQ7ZGXGA2ET

not attested not anchored not stored refs pending

Unifying Information-Theoretic and Pair-Counting Clustering Similarity

Alexander J. Gates

arxiv:2511.03000 v2 · 2025-11-04 · stat.ML · cs.IT · cs.LG · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JATJO7LZPMMEBKZAQ7ZGXGA2ET}

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	2026-06-04T01:08:35.613653Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4826977d797b1840ab2087f26b981a24fb11ae319912a5fcfb6f3b63038e2021

Aliases

arxiv: 2511.03000 · arxiv_version: 2511.03000v2 · doi: 10.48550/arxiv.2511.03000 · pith_short_12: JATJO7LZPMME · pith_short_16: JATJO7LZPMMEBKZA · pith_short_8: JATJO7LZ

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/JATJO7LZPMMEBKZAQ7ZGXGA2ET \
  | 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: 4826977d797b1840ab2087f26b981a24fb11ae319912a5fcfb6f3b63038e2021

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6fc1840d6a61e93f339db69b5b62231ecd62ce6871714786bc7a978e01a0b8e0",
    "cross_cats_sorted": [
      "cs.IT",
      "cs.LG",
      "math.IT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2025-11-04T21:13:32Z",
    "title_canon_sha256": "fa52b1afdee4d9ae0f8b1f4b897e25b76fa86e3cad51acd3125c5c7face8df90"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2511.03000",
    "kind": "arxiv",
    "version": 2
  }
}