Pith Number

pith:OTXQD7Y5

pith:2024:OTXQD7Y5JVTHMPRGNAS2PRPLKC

not attested not anchored not stored refs pending

An Eigengap Ratio Test for Determining the Number of Communities in Network Data

Chih-Ling Tsai, Jingfei Zhang, Wei Lan, Yujia Wu

arxiv:2409.05276 v1 · 2024-09-09 · 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{OTXQD7Y5JVTHMPRGNAS2PRPLKC}

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	2026-07-05T09:04:47.063982Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

74ef01ff1d4d66763e266825a7c5eb50905ad7f22cf8a52c37282d84f59bfe6a

Aliases

arxiv: 2409.05276 · arxiv_version: 2409.05276v1 · doi: 10.48550/arxiv.2409.05276 · pith_short_12: OTXQD7Y5JVTH · pith_short_16: OTXQD7Y5JVTHMPRG · pith_short_8: OTXQD7Y5

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/OTXQD7Y5JVTHMPRGNAS2PRPLKC \
  | 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: 74ef01ff1d4d66763e266825a7c5eb50905ad7f22cf8a52c37282d84f59bfe6a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "230c86df35de8b3425854c97810c98bf029a34b1a4cd65262fe400872ccb65e5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2024-09-09T02:00:05Z",
    "title_canon_sha256": "ae26e2c435ff404e517852f0926e6f75627244cfb893dd917299d07020670d72"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2409.05276",
    "kind": "arxiv",
    "version": 1
  }
}