Pith Number

pith:TGDAGASU

pith:2010:TGDAGASU3NIWZJGX7PQZQOVACF

not attested not anchored not stored refs pending

A Comparison of Two Proximity Catch Digraph Families in Testing Spatial Clustering

Elvan Ceyhan

arxiv:1010.4436 v1 · 2010-10-21 · math.CO · math.PR · stat.AP · stat.ME

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TGDAGASU3NIWZJGX7PQZQOVACF}

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	2026-05-18T04:38:58.652554Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9986030254db516ca4d7fbe1983aa0117159642fe69160b034adccdcc1bd9d02

Aliases

arxiv: 1010.4436 · arxiv_version: 1010.4436v1 · doi: 10.48550/arxiv.1010.4436 · pith_short_12: TGDAGASU3NIW · pith_short_16: TGDAGASU3NIWZJGX · pith_short_8: TGDAGASU

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/TGDAGASU3NIWZJGX7PQZQOVACF \
  | 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: 9986030254db516ca4d7fbe1983aa0117159642fe69160b034adccdcc1bd9d02

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "824109284c562e367f444b0700436df974489662a033c2e8f09ea2245a7a3b3a",
    "cross_cats_sorted": [
      "math.PR",
      "stat.AP",
      "stat.ME"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-10-21T11:32:49Z",
    "title_canon_sha256": "c4bd3fc717d93cae8a3168cab823ae488197fe55a13f09aeadaa1c7c1ad45211"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.4436",
    "kind": "arxiv",
    "version": 1
  }
}