Pith Number

pith:GC4T7PY5

pith:2016:GC4T7PY5Y2VV3AECM5LREMFTSG

not attested not anchored not stored refs pending

Master stability functions for complete, intra-layer and inter-layer synchronization in multiplex networks

Jinhu L\"u, Jun-an Lu, Longkun Tang, Raissa M. D'Souza, Xiaoqun Wu

arxiv:1611.09110 v2 · 2016-11-28 · nlin.CD · physics.soc-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GC4T7PY5Y2VV3AECM5LREMFTSG}

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	2026-05-17T23:56:48.773849Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

30b93fbf1dc6ab5d808267571230b39198d713e0dcfe72e9812ea256ae42c7bf

Aliases

arxiv: 1611.09110 · arxiv_version: 1611.09110v2 · doi: 10.48550/arxiv.1611.09110 · pith_short_12: GC4T7PY5Y2VV · pith_short_16: GC4T7PY5Y2VV3AEC · pith_short_8: GC4T7PY5

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/GC4T7PY5Y2VV3AECM5LREMFTSG \
  | 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: 30b93fbf1dc6ab5d808267571230b39198d713e0dcfe72e9812ea256ae42c7bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "74deb8aa31d8a8044c406258d96886c0386b17846f2a2670f72a9b865301d38a",
    "cross_cats_sorted": [
      "physics.soc-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.CD",
    "submitted_at": "2016-11-28T13:25:49Z",
    "title_canon_sha256": "270d670357702a009e021959c85de94ab30df8a4702831f9bfe8954405bf822d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.09110",
    "kind": "arxiv",
    "version": 2
  }
}