Pith. sign in
Pith Number

pith:PJ3NH57P

pith:2019:PJ3NH57PZWL3S4ZQVF46NFNURP
not attested not anchored not stored refs pending

Coevolution spreading in complex networks

Junhao Liang, Quan-Hui Liu, Tao Zhou, Wei Wang, Yanqing Hu

arxiv:1901.02125 v3 · 2019-01-08 · physics.soc-ph · cs.SI

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{PJ3NH57PZWL3S4ZQVF46NFNURP}

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 2026-07-05T00:08:54.240684Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

7a76d3f7efcd97b97330a979e695b48bfdcb78e1e97ce415ace99348cf8c07f0

Aliases

arxiv: 1901.02125 · arxiv_version: 1901.02125v3 · doi: 10.48550/arxiv.1901.02125 · pith_short_12: PJ3NH57PZWL3 · pith_short_16: PJ3NH57PZWL3S4ZQ · pith_short_8: PJ3NH57P
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/PJ3NH57PZWL3S4ZQVF46NFNURP \
  | 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: 7a76d3f7efcd97b97330a979e695b48bfdcb78e1e97ce415ace99348cf8c07f0
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "3b8133363424cdf38f59d32c041c179aaac0ae8cdb66c60c91b29d755867289f",
    "cross_cats_sorted": [
      "cs.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2019-01-08T02:02:48Z",
    "title_canon_sha256": "7e221865e8f0516008bdcdd4f21f155b227f39904e16d5017cbe204e5ab8016b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.02125",
    "kind": "arxiv",
    "version": 3
  }
}