pith. sign in
Pith Number

pith:HW6SHH3U

pith:2015:HW6SHH3UKJ2WAW3QNQPUMCZXQV
not attested not anchored not stored refs pending

Bond percolation on multiplex networks

A. Arenas, A. Hackett, D. Cellai, J. P. Gleeson, S. G\'omez

arxiv:1509.09132 v3 · 2015-09-30 · physics.soc-ph · cs.SI

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{HW6SHH3UKJ2WAW3QNQPUMCZXQV}

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 2026-05-18T01:17:18.699147Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

3dbd239f745275605b706c1f460b37857f97c7c5760a003fcfeeb02c0a7808c7

Aliases

arxiv: 1509.09132 · arxiv_version: 1509.09132v3 · doi: 10.48550/arxiv.1509.09132 · pith_short_12: HW6SHH3UKJ2W · pith_short_16: HW6SHH3UKJ2WAW3Q · pith_short_8: HW6SHH3U
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/HW6SHH3UKJ2WAW3QNQPUMCZXQV \
  | 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: 3dbd239f745275605b706c1f460b37857f97c7c5760a003fcfeeb02c0a7808c7
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "69d4ac60946445ee9b2c51476884c1c343a2fda32d048820f110d1adc8f8fb4a",
    "cross_cats_sorted": [
      "cs.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2015-09-30T11:41:27Z",
    "title_canon_sha256": "08d2414b5a2c936f2fb83f0376fda3510d65b9eb339d5dc944ef675a305893a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.09132",
    "kind": "arxiv",
    "version": 3
  }
}