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Pith Number

pith:DK7LWW3K

pith:2014:DK7LWW3KULAEAZM4NVZO2D6HVN
not attested not anchored not stored refs pending

Cluster tails for critical power-law inhomogeneous random graphs

Johan S. H. van Leeuwaarden, Remco van der Hofstad, Sandra Kliem

arxiv:1404.1727 v2 · 2014-04-07 · math.PR

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{DK7LWW3KULAEAZM4NVZO2D6HVN}

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 2026-05-18T02:54:39.053107Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

1abebb5b6aa2c040659c6d72ed0fc7ab7f635dd53e236faab77775601d843667

Aliases

arxiv: 1404.1727 · arxiv_version: 1404.1727v2 · doi: 10.48550/arxiv.1404.1727 · pith_short_12: DK7LWW3KULAE · pith_short_16: DK7LWW3KULAEAZM4 · pith_short_8: DK7LWW3K
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/DK7LWW3KULAEAZM4NVZO2D6HVN \
  | 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: 1abebb5b6aa2c040659c6d72ed0fc7ab7f635dd53e236faab77775601d843667
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "574b1cc0de78ce5c1a919308f3d8a91f3c47607231904dad874f2e5a3cb9589c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-04-07T10:33:30Z",
    "title_canon_sha256": "e49d897bd58d36be8d37a754742b17ac6e1fe8c37bfce9744e654b9b103aa222"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.1727",
    "kind": "arxiv",
    "version": 2
  }
}