pith. sign in
Pith Number

pith:YEWM6UYU

pith:2011:YEWM6UYUINUN7K2HF5DZFW7Z66
not attested not anchored not stored refs pending

Detecting the optimal number of communities in complex networks

Beishan Xu, Yanqing Hu, Ying Fan, Zengru Di, Zhifang Li

arxiv:1103.5946 v1 · 2011-03-30 · physics.soc-ph · cs.SI · stat.AP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{YEWM6UYUINUN7K2HF5DZFW7Z66}

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 2026-05-18T02:02:42.719052Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

c12ccf53144368dfab472f4792dbf9f78ef8bc43b2f9096966dd7d1b28898e24

Aliases

arxiv: 1103.5946 · arxiv_version: 1103.5946v1 · doi: 10.48550/arxiv.1103.5946 · pith_short_12: YEWM6UYUINUN · pith_short_16: YEWM6UYUINUN7K2H · pith_short_8: YEWM6UYU
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/YEWM6UYUINUN7K2HF5DZFW7Z66 \
  | 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: c12ccf53144368dfab472f4792dbf9f78ef8bc43b2f9096966dd7d1b28898e24
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "525c68699019f2215fbfd0fa1f091165eb56cd575209e4263003071cbf2f48a3",
    "cross_cats_sorted": [
      "cs.SI",
      "stat.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2011-03-30T14:43:59Z",
    "title_canon_sha256": "9923bf62c4f6865f81340413eef06976f7578a40e362a34ef597a4a0de87cfd7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.5946",
    "kind": "arxiv",
    "version": 1
  }
}