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Pith Number

pith:2QDO2LEC

pith:2016:2QDO2LECNBEGP7SAJDMI3R4FTB
not attested not anchored not stored refs pending

Community detection in networks: Modularity optimization and maximum likelihood are equivalent

M. E. J. Newman

arxiv:1606.02319 v1 · 2016-06-07 · cs.SI · physics.soc-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{2QDO2LECNBEGP7SAJDMI3R4FTB}

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 2026-05-18T00:57:04.334893Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

d406ed2c82684867fe4048d88dc785984acda8341f62055ead6f18344b2a9cda

Aliases

arxiv: 1606.02319 · arxiv_version: 1606.02319v1 · doi: 10.48550/arxiv.1606.02319 · pith_short_12: 2QDO2LECNBEG · pith_short_16: 2QDO2LECNBEGP7SA · pith_short_8: 2QDO2LEC
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/2QDO2LECNBEGP7SAJDMI3R4FTB \
  | 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: d406ed2c82684867fe4048d88dc785984acda8341f62055ead6f18344b2a9cda
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "64610b949345db6918db3edcb47933d1e2fe7467d3d2b9a2391ae0f292e2c9d4",
    "cross_cats_sorted": [
      "physics.soc-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.SI",
    "submitted_at": "2016-06-07T20:10:20Z",
    "title_canon_sha256": "a844ee61122b69d3b719c944b3051477485adbdb4cdb383fa755eed7c6fad683"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.02319",
    "kind": "arxiv",
    "version": 1
  }
}