Pith Number

pith:32HQOLBV

pith:2016:32HQOLBVEULP3R4HQQ7L4SH5S5

not attested not anchored not stored refs pending

Graph partitions and cluster synchronization in networks of oscillators

Jean-Charles Delvenne, Mauricio Barahona, Michael T. Schaub, Neave O'Clery, Renaud Lambiotte, Yazan N. Billeh

arxiv:1608.04283 v2 · 2016-08-15 · physics.soc-ph · cs.SI · cs.SY · nlin.CD

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{32HQOLBVEULP3R4HQQ7L4SH5S5}

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	2026-05-18T01:08:23.460201Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de8f072c352516fdc787843ebe48fd9775b170c74f95f006ce2b5285a3defdf8

Aliases

arxiv: 1608.04283 · arxiv_version: 1608.04283v2 · doi: 10.48550/arxiv.1608.04283 · pith_short_12: 32HQOLBVEULP · pith_short_16: 32HQOLBVEULP3R4H · pith_short_8: 32HQOLBV

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/32HQOLBVEULP3R4HQQ7L4SH5S5 \
  | 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: de8f072c352516fdc787843ebe48fd9775b170c74f95f006ce2b5285a3defdf8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a786186b6d1695732cd756659192d7e91c04ab8ea4e9713bafb54cc4a68d4933",
    "cross_cats_sorted": [
      "cs.SI",
      "cs.SY",
      "nlin.CD"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2016-08-15T14:33:39Z",
    "title_canon_sha256": "40867f0e88de786a623e249babe1bc40324e94239777816e4cd6af73fac3a83d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.04283",
    "kind": "arxiv",
    "version": 2
  }
}