{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:X6U23O3E7LC6ZF22TF53MGMQQ3","short_pith_number":"pith:X6U23O3E","schema_version":"1.0","canonical_sha256":"bfa9adbb64fac5ec975a997bb6199086d8b48f17391c250a60418d1267c031fc","source":{"kind":"arxiv","id":"1409.1979","version":1},"attestation_state":"computed","paper":{"title":"Thermodynamic Characterization of Synchronization-Optimized Oscillator-Networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nlin.AO","authors_text":"Takashi Ichinomiya, Tatsuo Yanagita","submitted_at":"2014-09-06T03:40:41Z","abstract_excerpt":"We consider a canonical ensemble of synchronization-optimized networks of identical oscillators under external noise. By performing a Markov chain Monte Carlo (MCMC) simulation using the Kirchhoff index, i.e., the sum of the inverse eigenvalues of the Laplacian matrix (as a graph Hamiltonian of the network), we construct more than 1,000 different synchronization-optimized networks. We then show that the transition from star to core-periphery structure depends on the connectivity of the network, and is characterized by the node degree variance of the synchronization-optimized ensemble. We find "},"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":"1409.1979","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.AO","submitted_at":"2014-09-06T03:40:41Z","cross_cats_sorted":[],"title_canon_sha256":"cde22db53944c9dbd3158294072db8b4364bbad69c84eeb6894ef1537f5e150a","abstract_canon_sha256":"d4bf8b2d2df93b1f936f4b517f5b0e433fca41221b6c0506fbde1bbb403d8dfb"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:42:07.178577Z","signature_b64":"kbNCiucoKIcLqjcwue5YLvkv1YTFRHV6W0R9WwAd6yAAzLwJxLhvj45nIcRudfBLzX5yrfqGbH1pBsQgogdiAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bfa9adbb64fac5ec975a997bb6199086d8b48f17391c250a60418d1267c031fc","last_reissued_at":"2026-05-18T01:42:07.177840Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:42:07.177840Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Thermodynamic Characterization of Synchronization-Optimized Oscillator-Networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nlin.AO","authors_text":"Takashi Ichinomiya, Tatsuo Yanagita","submitted_at":"2014-09-06T03:40:41Z","abstract_excerpt":"We consider a canonical ensemble of synchronization-optimized networks of identical oscillators under external noise. By performing a Markov chain Monte Carlo (MCMC) simulation using the Kirchhoff index, i.e., the sum of the inverse eigenvalues of the Laplacian matrix (as a graph Hamiltonian of the network), we construct more than 1,000 different synchronization-optimized networks. We then show that the transition from star to core-periphery structure depends on the connectivity of the network, and is characterized by the node degree variance of the synchronization-optimized ensemble. We find "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.1979","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":"1409.1979","created_at":"2026-05-18T01:42:07.177967+00:00"},{"alias_kind":"arxiv_version","alias_value":"1409.1979v1","created_at":"2026-05-18T01:42:07.177967+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.1979","created_at":"2026-05-18T01:42:07.177967+00:00"},{"alias_kind":"pith_short_12","alias_value":"X6U23O3E7LC6","created_at":"2026-05-18T12:28:57.508820+00:00"},{"alias_kind":"pith_short_16","alias_value":"X6U23O3E7LC6ZF22","created_at":"2026-05-18T12:28:57.508820+00:00"},{"alias_kind":"pith_short_8","alias_value":"X6U23O3E","created_at":"2026-05-18T12:28:57.508820+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/X6U23O3E7LC6ZF22TF53MGMQQ3","json":"https://pith.science/pith/X6U23O3E7LC6ZF22TF53MGMQQ3.json","graph_json":"https://pith.science/api/pith-number/X6U23O3E7LC6ZF22TF53MGMQQ3/graph.json","events_json":"https://pith.science/api/pith-number/X6U23O3E7LC6ZF22TF53MGMQQ3/events.json","paper":"https://pith.science/paper/X6U23O3E"},"agent_actions":{"view_html":"https://pith.science/pith/X6U23O3E7LC6ZF22TF53MGMQQ3","download_json":"https://pith.science/pith/X6U23O3E7LC6ZF22TF53MGMQQ3.json","view_paper":"https://pith.science/paper/X6U23O3E","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1409.1979&json=true","fetch_graph":"https://pith.science/api/pith-number/X6U23O3E7LC6ZF22TF53MGMQQ3/graph.json","fetch_events":"https://pith.science/api/pith-number/X6U23O3E7LC6ZF22TF53MGMQQ3/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/X6U23O3E7LC6ZF22TF53MGMQQ3/action/timestamp_anchor","attest_storage":"https://pith.science/pith/X6U23O3E7LC6ZF22TF53MGMQQ3/action/storage_attestation","attest_author":"https://pith.science/pith/X6U23O3E7LC6ZF22TF53MGMQQ3/action/author_attestation","sign_citation":"https://pith.science/pith/X6U23O3E7LC6ZF22TF53MGMQQ3/action/citation_signature","submit_replication":"https://pith.science/pith/X6U23O3E7LC6ZF22TF53MGMQQ3/action/replication_record"}},"created_at":"2026-05-18T01:42:07.177967+00:00","updated_at":"2026-05-18T01:42:07.177967+00:00"}