{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:PXPBRQWAZWEV3VVAXG7MXSVSJL","short_pith_number":"pith:PXPBRQWA","schema_version":"1.0","canonical_sha256":"7dde18c2c0cd895dd6a0b9becbcab24ae425eb35eb61438e978416d72ed177be","source":{"kind":"arxiv","id":"1207.0406","version":1},"attestation_state":"computed","paper":{"title":"Role of Network Topology in the Synchronization of Power Systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["nlin.AO"],"primary_cat":"physics.soc-ph","authors_text":"Albert D\\'iaz-Guilera, Lubos Buzna, Sergi Lozano","submitted_at":"2012-07-02T14:36:41Z","abstract_excerpt":"We study synchronization dynamics in networks of coupled oscillators with bimodal distribution of natural frequencies. This setup can be interpreted as a simple model of frequency synchronization dynamics among generators and loads working in a power network. We derive the minimum coupling strength required to ensure global frequency synchronization. This threshold value can be efficiently found by solving a binary optimization problem, even for large networks. In order to validate our procedure, we compare its results with numerical simulations on a realistic network describing the European i"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1207.0406","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2012-07-02T14:36:41Z","cross_cats_sorted":["nlin.AO"],"title_canon_sha256":"f8eb9bf63836362a8f1c380197d534095c3f4236c6e565533a8e9caffbd80367","abstract_canon_sha256":"43e451299b6dbe095ee4dbbcc0b775dfeea457cd3f727570399695474f5ca826"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:51:59.393330Z","signature_b64":"eBsgBRrdQqpJCMjz2oaQAKmfrLjhuuYGHIBty7Pu3SLp01jeZvV/6TXrAItk6zRwZtg8N0Rf5157Pm2N9nn4AQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7dde18c2c0cd895dd6a0b9becbcab24ae425eb35eb61438e978416d72ed177be","last_reissued_at":"2026-05-18T03:51:59.392601Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:51:59.392601Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Role of Network Topology in the Synchronization of Power Systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["nlin.AO"],"primary_cat":"physics.soc-ph","authors_text":"Albert D\\'iaz-Guilera, Lubos Buzna, Sergi Lozano","submitted_at":"2012-07-02T14:36:41Z","abstract_excerpt":"We study synchronization dynamics in networks of coupled oscillators with bimodal distribution of natural frequencies. This setup can be interpreted as a simple model of frequency synchronization dynamics among generators and loads working in a power network. We derive the minimum coupling strength required to ensure global frequency synchronization. This threshold value can be efficiently found by solving a binary optimization problem, even for large networks. In order to validate our procedure, we compare its results with numerical simulations on a realistic network describing the European i"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1207.0406","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1207.0406","created_at":"2026-05-18T03:51:59.392715+00:00"},{"alias_kind":"arxiv_version","alias_value":"1207.0406v1","created_at":"2026-05-18T03:51:59.392715+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1207.0406","created_at":"2026-05-18T03:51:59.392715+00:00"},{"alias_kind":"pith_short_12","alias_value":"PXPBRQWAZWEV","created_at":"2026-05-18T12:27:18.751474+00:00"},{"alias_kind":"pith_short_16","alias_value":"PXPBRQWAZWEV3VVA","created_at":"2026-05-18T12:27:18.751474+00:00"},{"alias_kind":"pith_short_8","alias_value":"PXPBRQWA","created_at":"2026-05-18T12:27:18.751474+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/PXPBRQWAZWEV3VVAXG7MXSVSJL","json":"https://pith.science/pith/PXPBRQWAZWEV3VVAXG7MXSVSJL.json","graph_json":"https://pith.science/api/pith-number/PXPBRQWAZWEV3VVAXG7MXSVSJL/graph.json","events_json":"https://pith.science/api/pith-number/PXPBRQWAZWEV3VVAXG7MXSVSJL/events.json","paper":"https://pith.science/paper/PXPBRQWA"},"agent_actions":{"view_html":"https://pith.science/pith/PXPBRQWAZWEV3VVAXG7MXSVSJL","download_json":"https://pith.science/pith/PXPBRQWAZWEV3VVAXG7MXSVSJL.json","view_paper":"https://pith.science/paper/PXPBRQWA","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1207.0406&json=true","fetch_graph":"https://pith.science/api/pith-number/PXPBRQWAZWEV3VVAXG7MXSVSJL/graph.json","fetch_events":"https://pith.science/api/pith-number/PXPBRQWAZWEV3VVAXG7MXSVSJL/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/PXPBRQWAZWEV3VVAXG7MXSVSJL/action/timestamp_anchor","attest_storage":"https://pith.science/pith/PXPBRQWAZWEV3VVAXG7MXSVSJL/action/storage_attestation","attest_author":"https://pith.science/pith/PXPBRQWAZWEV3VVAXG7MXSVSJL/action/author_attestation","sign_citation":"https://pith.science/pith/PXPBRQWAZWEV3VVAXG7MXSVSJL/action/citation_signature","submit_replication":"https://pith.science/pith/PXPBRQWAZWEV3VVAXG7MXSVSJL/action/replication_record"}},"created_at":"2026-05-18T03:51:59.392715+00:00","updated_at":"2026-05-18T03:51:59.392715+00:00"}