{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:SCEKFNNRY7OKS35DXTUSDQGK2C","short_pith_number":"pith:SCEKFNNR","canonical_record":{"source":{"id":"1403.2083","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2014-03-09T17:52:02Z","cross_cats_sorted":["nlin.CD"],"title_canon_sha256":"4fb07016d06716fea5cde235646ed855a23463c0d0084fff925606ec20fcec2f","abstract_canon_sha256":"564468febef7e33973ddb0be61fa6bbf9fa52dc0a5074e5a486e68fdbe331fe0"},"schema_version":"1.0"},"canonical_sha256":"9088a2b5b1c7dca96fa3bce921c0cad096f919aae4c191ed1f13191fc5372c2b","source":{"kind":"arxiv","id":"1403.2083","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1403.2083","created_at":"2026-05-18T02:44:01Z"},{"alias_kind":"arxiv_version","alias_value":"1403.2083v2","created_at":"2026-05-18T02:44:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.2083","created_at":"2026-05-18T02:44:01Z"},{"alias_kind":"pith_short_12","alias_value":"SCEKFNNRY7OK","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_16","alias_value":"SCEKFNNRY7OKS35D","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_8","alias_value":"SCEKFNNR","created_at":"2026-05-18T12:28:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:SCEKFNNRY7OKS35DXTUSDQGK2C","target":"record","payload":{"canonical_record":{"source":{"id":"1403.2083","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2014-03-09T17:52:02Z","cross_cats_sorted":["nlin.CD"],"title_canon_sha256":"4fb07016d06716fea5cde235646ed855a23463c0d0084fff925606ec20fcec2f","abstract_canon_sha256":"564468febef7e33973ddb0be61fa6bbf9fa52dc0a5074e5a486e68fdbe331fe0"},"schema_version":"1.0"},"canonical_sha256":"9088a2b5b1c7dca96fa3bce921c0cad096f919aae4c191ed1f13191fc5372c2b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:44:01.843334Z","signature_b64":"My3HASiEi5zgFMLXb8oS5gYthAM/qAZyN+1dSOfOedxpTWJbHbBAqZZuFrjoZr99ItdaAaCTIMrCkeJdiYKgCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9088a2b5b1c7dca96fa3bce921c0cad096f919aae4c191ed1f13191fc5372c2b","last_reissued_at":"2026-05-18T02:44:01.842067Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:44:01.842067Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1403.2083","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:44:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0agMpMIXRf6kf5QBJt8ZJh54/TGIe0Qp8jCQWF6HKwMoCwKc6Bbfk7owz6MLEC1l2Odox8OodIZtECIFGljRDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T16:33:40.843863Z"},"content_sha256":"cd06a21169e7b9df02552dc2c41ed42c27ee4f3673f72eb6414bf828de0f06b1","schema_version":"1.0","event_id":"sha256:cd06a21169e7b9df02552dc2c41ed42c27ee4f3673f72eb6414bf828de0f06b1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:SCEKFNNRY7OKS35DXTUSDQGK2C","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Kuramoto model of synchronization: Equilibrium and nonequilibrium aspects","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["nlin.CD"],"primary_cat":"cond-mat.stat-mech","authors_text":"Alessandro Campa, Shamik Gupta, Stefano Ruffo","submitted_at":"2014-03-09T17:52:02Z","abstract_excerpt":"Recently, there has been considerable interest in the study of spontaneous synchronization, particularly within the framework of the Kuramoto model. The model comprises oscillators with distributed natural frequencies interacting through a mean-field coupling, and serves as a paradigm to study synchronization. In this review, we put forward a general framework in which we discuss in a unified way known results with more recent developments obtained for a generalized Kuramoto model that includes inertial effects and noise. We describe the model from a different perspective, highlighting the lon"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.2083","kind":"arxiv","version":2},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:44:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dLL8NrHH48CQQ4lkDqPp+mdieUK4RBa/hElVv8keULlRY6QLe0JOKKFG6NdR71hlhhjqlw/cWEZzuFhWVkRoCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T16:33:40.844257Z"},"content_sha256":"998692b577b5a6412de85e465cc8b8a5d8b9e1ed7b1d562370d42a768f9dfe0b","schema_version":"1.0","event_id":"sha256:998692b577b5a6412de85e465cc8b8a5d8b9e1ed7b1d562370d42a768f9dfe0b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SCEKFNNRY7OKS35DXTUSDQGK2C/bundle.json","state_url":"https://pith.science/pith/SCEKFNNRY7OKS35DXTUSDQGK2C/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SCEKFNNRY7OKS35DXTUSDQGK2C/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-26T16:33:40Z","links":{"resolver":"https://pith.science/pith/SCEKFNNRY7OKS35DXTUSDQGK2C","bundle":"https://pith.science/pith/SCEKFNNRY7OKS35DXTUSDQGK2C/bundle.json","state":"https://pith.science/pith/SCEKFNNRY7OKS35DXTUSDQGK2C/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SCEKFNNRY7OKS35DXTUSDQGK2C/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:SCEKFNNRY7OKS35DXTUSDQGK2C","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"564468febef7e33973ddb0be61fa6bbf9fa52dc0a5074e5a486e68fdbe331fe0","cross_cats_sorted":["nlin.CD"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2014-03-09T17:52:02Z","title_canon_sha256":"4fb07016d06716fea5cde235646ed855a23463c0d0084fff925606ec20fcec2f"},"schema_version":"1.0","source":{"id":"1403.2083","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1403.2083","created_at":"2026-05-18T02:44:01Z"},{"alias_kind":"arxiv_version","alias_value":"1403.2083v2","created_at":"2026-05-18T02:44:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.2083","created_at":"2026-05-18T02:44:01Z"},{"alias_kind":"pith_short_12","alias_value":"SCEKFNNRY7OK","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_16","alias_value":"SCEKFNNRY7OKS35D","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_8","alias_value":"SCEKFNNR","created_at":"2026-05-18T12:28:49Z"}],"graph_snapshots":[{"event_id":"sha256:998692b577b5a6412de85e465cc8b8a5d8b9e1ed7b1d562370d42a768f9dfe0b","target":"graph","created_at":"2026-05-18T02:44:01Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"Recently, there has been considerable interest in the study of spontaneous synchronization, particularly within the framework of the Kuramoto model. The model comprises oscillators with distributed natural frequencies interacting through a mean-field coupling, and serves as a paradigm to study synchronization. In this review, we put forward a general framework in which we discuss in a unified way known results with more recent developments obtained for a generalized Kuramoto model that includes inertial effects and noise. We describe the model from a different perspective, highlighting the lon","authors_text":"Alessandro Campa, Shamik Gupta, Stefano Ruffo","cross_cats":["nlin.CD"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2014-03-09T17:52:02Z","title":"Kuramoto model of synchronization: Equilibrium and nonequilibrium aspects"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.2083","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:cd06a21169e7b9df02552dc2c41ed42c27ee4f3673f72eb6414bf828de0f06b1","target":"record","created_at":"2026-05-18T02:44:01Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"564468febef7e33973ddb0be61fa6bbf9fa52dc0a5074e5a486e68fdbe331fe0","cross_cats_sorted":["nlin.CD"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2014-03-09T17:52:02Z","title_canon_sha256":"4fb07016d06716fea5cde235646ed855a23463c0d0084fff925606ec20fcec2f"},"schema_version":"1.0","source":{"id":"1403.2083","kind":"arxiv","version":2}},"canonical_sha256":"9088a2b5b1c7dca96fa3bce921c0cad096f919aae4c191ed1f13191fc5372c2b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9088a2b5b1c7dca96fa3bce921c0cad096f919aae4c191ed1f13191fc5372c2b","first_computed_at":"2026-05-18T02:44:01.842067Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:44:01.842067Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"My3HASiEi5zgFMLXb8oS5gYthAM/qAZyN+1dSOfOedxpTWJbHbBAqZZuFrjoZr99ItdaAaCTIMrCkeJdiYKgCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:44:01.843334Z","signed_message":"canonical_sha256_bytes"},"source_id":"1403.2083","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cd06a21169e7b9df02552dc2c41ed42c27ee4f3673f72eb6414bf828de0f06b1","sha256:998692b577b5a6412de85e465cc8b8a5d8b9e1ed7b1d562370d42a768f9dfe0b"],"state_sha256":"c535127cc1d3de42efa742e98dcca4481655bc1ad2d49b0e2beb6bfdbaa5459f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AcDeCKZ1tKOjk6wSi65l7Ip8y8AiPuoxWGsomWd2qgBupOzkTtuV61+Y7PtyVPr6TopJ21jZjOFA56QrdBGUAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T16:33:40.846522Z","bundle_sha256":"e862f9de3fe6b59faea6b4e206d379f588dba1eca02ac6c12aedb69c518ab377"}}