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Pith Number

pith:JNDFQIDM

pith:2013:JNDFQIDMGHLEZZQ7GSICNSKNNR
not attested not anchored not stored refs pending

Overlapping modularity at the critical point of k-clique percolation

Balint Toth, Gergely Palla, Tamas Vicsek

arxiv:1308.3340 v1 · 2013-08-15 · physics.soc-ph · cs.SI

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{JNDFQIDMGHLEZZQ7GSICNSKNNR}

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 2026-05-18T03:15:54.944592Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

4b4658206c31d64ce61f349026c94d6c643e81db3750f6ef64c4b58a204c30a7

Aliases

arxiv: 1308.3340 · arxiv_version: 1308.3340v1 · doi: 10.48550/arxiv.1308.3340 · pith_short_12: JNDFQIDMGHLE · pith_short_16: JNDFQIDMGHLEZZQ7 · pith_short_8: JNDFQIDM
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/JNDFQIDMGHLEZZQ7GSICNSKNNR \
  | 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: 4b4658206c31d64ce61f349026c94d6c643e81db3750f6ef64c4b58a204c30a7
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "bbc74726797de7ce5a48c9a88d76ed93e7e7a008065dfb31a0336036f86ae805",
    "cross_cats_sorted": [
      "cs.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2013-08-15T08:56:13Z",
    "title_canon_sha256": "c9d4103e0a56925867c0a3fc1de4c1fe4000295f8bf33eb6ed7c2a3cbc4e93f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.3340",
    "kind": "arxiv",
    "version": 1
  }
}