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Pith Number

pith:GM7WJKQ3

pith:2006:GM7WJKQ3B4ZWXEZKCECGZTPX3X
not attested not anchored not stored refs pending

Cyclical interactions with alliance-specific heterogeneous invasion rates

Attila Szolnoki, Gyorgy Szabo, Matjaz Perc

arxiv:cond-mat/0612316 v2 · 2006-12-13 · cond-mat.stat-mech · q-bio.PE

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{GM7WJKQ3B4ZWXEZKCECGZTPX3X}

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 2026-05-18T01:25:57.119582Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

333f64aa1b0f336b932a11046ccdf7ddeee186d845c081c8aad7a1269cdae119

Aliases

arxiv: cond-mat/0612316 · arxiv_version: cond-mat/0612316v2 · doi: 10.48550/arxiv.cond-mat/0612316 · pith_short_12: GM7WJKQ3B4ZW · pith_short_16: GM7WJKQ3B4ZWXEZK · pith_short_8: GM7WJKQ3
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/GM7WJKQ3B4ZWXEZKCECGZTPX3X \
  | 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: 333f64aa1b0f336b932a11046ccdf7ddeee186d845c081c8aad7a1269cdae119
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "c4204e3be294afc2f43c9730aa4e855d214d4ce545b5093582a8278cfcb4b2b7",
    "cross_cats_sorted": [
      "q-bio.PE"
    ],
    "license": "",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2006-12-13T08:54:08Z",
    "title_canon_sha256": "5ac9c968c598ce1608f07172ad1c6ec0d912334e70eed37303d885528d2d1873"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cond-mat/0612316",
    "kind": "arxiv",
    "version": 2
  }
}