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Pith Number

pith:AVASFVG5

pith:2012:AVASFVG52GXWGNB6LC7WK5JHGA
not attested not anchored not stored refs pending

Communities and bottlenecks: Trees and treelike networks have high modularity

James P. Bagrow

arxiv:1201.0745 v2 · 2012-01-03 · physics.soc-ph · cs.SI · physics.data-an

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{AVASFVG52GXWGNB6LC7WK5JHGA}

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 2026-05-18T03:52:50.876090Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

054122d4ddd1af63343e58bf657527302b03cd6e3bafb360955434846ae35f56

Aliases

arxiv: 1201.0745 · arxiv_version: 1201.0745v2 · doi: 10.48550/arxiv.1201.0745 · pith_short_12: AVASFVG52GXW · pith_short_16: AVASFVG52GXWGNB6 · pith_short_8: AVASFVG5
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/AVASFVG52GXWGNB6LC7WK5JHGA \
  | 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: 054122d4ddd1af63343e58bf657527302b03cd6e3bafb360955434846ae35f56
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "dbd7a45d40c735800bf749598b937c356938a6234d99d08da7205259ee1b4627",
    "cross_cats_sorted": [
      "cs.SI",
      "physics.data-an"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2012-01-03T20:46:02Z",
    "title_canon_sha256": "2a4908552b8a938157b74c048abc5568edc1834284ff58f5a9eda250b9846e6b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.0745",
    "kind": "arxiv",
    "version": 2
  }
}