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Pith Number

pith:4SKWAVY2

pith:2011:4SKWAVY2UF52MGDFNLVXS5CPUC
not attested not anchored not stored refs pending

Topological conditions of scale-free networks for cooperation to evolve

Chen-Xu Wu, Dong-Ping Yang, Hai Lin, Jianwei Shuai

arxiv:1106.5386 v2 · 2011-06-27 · q-bio.PE · cond-mat.stat-mech · nlin.AO

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{4SKWAVY2UF52MGDFNLVXS5CPUC}

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 2026-05-18T02:21:43.636644Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

e49560571aa17ba618656aeb79744fa097fdb41a504be0bda7e60deea600f74e

Aliases

arxiv: 1106.5386 · arxiv_version: 1106.5386v2 · doi: 10.48550/arxiv.1106.5386 · pith_short_12: 4SKWAVY2UF52 · pith_short_16: 4SKWAVY2UF52MGDF · pith_short_8: 4SKWAVY2
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/4SKWAVY2UF52MGDFNLVXS5CPUC \
  | 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: e49560571aa17ba618656aeb79744fa097fdb41a504be0bda7e60deea600f74e
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "cbd0846b224ef3324c1ba263d51b7207a87637515546c34b28453a1e00d07a8b",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "nlin.AO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-bio.PE",
    "submitted_at": "2011-06-27T13:19:02Z",
    "title_canon_sha256": "73f801bae5c6c1c85a26d459431c2acb4c157e49eb549dc9725b075b3144664d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.5386",
    "kind": "arxiv",
    "version": 2
  }
}