Pith Number

pith:RHO32AUK

pith:2016:RHO32AUKBZ5545ZSPT3TLNUHGE

not attested not anchored not stored refs pending

Statistical test for detecting community structure in real-valued edge-weighted graphs

Tomoki Tokuda

arxiv:1610.03945 v1 · 2016-10-13 · math.ST · cs.SI · physics.soc-ph · 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{RHO32AUKBZ5545ZSPT3TLNUHGE}

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	2026-05-17T23:41:47.323542Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

89ddbd028a0e7bde77327cf735b6873131e63cf78d5981af916f3ebf78c67a47

Aliases

arxiv: 1610.03945 · arxiv_version: 1610.03945v1 · doi: 10.48550/arxiv.1610.03945 · pith_short_12: RHO32AUKBZ55 · pith_short_16: RHO32AUKBZ5545ZS · pith_short_8: RHO32AUK

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/RHO32AUKBZ5545ZSPT3TLNUHGE \
  | 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: 89ddbd028a0e7bde77327cf735b6873131e63cf78d5981af916f3ebf78c67a47

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "12680c2f7b19b38eabc257807a6bbc00b19bd8db384d7326bb881ac9be33779d",
    "cross_cats_sorted": [
      "cs.SI",
      "physics.soc-ph",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2016-10-13T06:00:03Z",
    "title_canon_sha256": "a48684653abb90ebebdda7b1b76d9af0323953297d88c16b710fa2190629cfee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.03945",
    "kind": "arxiv",
    "version": 1
  }
}