Pith. sign in
Pith Number

pith:FLC6D7GI

pith:2021:FLC6D7GIGKQUAIZNKT3W27ALHS
not attested not anchored not stored refs pending

mGNN: Generalizing the Graph Neural Networks to the Multilayer Case

Giuseppe Mangioni, Manlio De Domenico, Marco Grassia

arxiv:2109.10119 v2 · 2021-09-21 · cs.LG · physics.soc-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{FLC6D7GIGKQUAIZNKT3W27ALHS}

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.

Cited by

1 paper in Pith

Receipt and verification
First computed 2026-07-05T03:17:16.533447Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

2ac5e1fcc832a140232d54f76d7c0b3cbb58b11a2dfa7d5809759b9079e7ff73

Aliases

arxiv: 2109.10119 · arxiv_version: 2109.10119v2 · doi: 10.48550/arxiv.2109.10119 · pith_short_12: FLC6D7GIGKQU · pith_short_16: FLC6D7GIGKQUAIZN · pith_short_8: FLC6D7GI
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/FLC6D7GIGKQUAIZNKT3W27ALHS \
  | 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: 2ac5e1fcc832a140232d54f76d7c0b3cbb58b11a2dfa7d5809759b9079e7ff73
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "4ce55c4eeb6dfba7f527264cc3d7b45b12fa0024366f7337500d58c1ec7181c2",
    "cross_cats_sorted": [
      "physics.soc-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2021-09-21T12:02:12Z",
    "title_canon_sha256": "8feab7b98bcd328e09521a2bf3adc0882ef523bc074303a33ba09e8dd705f464"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2109.10119",
    "kind": "arxiv",
    "version": 2
  }
}