{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2022:A63JRCQBTXRE3GCNSVMTSJKX4G","short_pith_number":"pith:A63JRCQB","canonical_record":{"source":{"id":"2212.09634","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OC","submitted_at":"2022-12-19T17:10:16Z","cross_cats_sorted":[],"title_canon_sha256":"e97b3990d1bf6e917143e91ebb27d30038a5c67a7f39cff338f665aaa8247da0","abstract_canon_sha256":"270277d779f7854ad6cea6c483caa59e57c25210171c9186d3e70362079ae59e"},"schema_version":"1.0"},"canonical_sha256":"07b6988a019de24d984d9559392557e19d06c3faaa79c7fa6eabe9a362609520","source":{"kind":"arxiv","id":"2212.09634","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2212.09634","created_at":"2026-07-05T05:26:29Z"},{"alias_kind":"arxiv_version","alias_value":"2212.09634v1","created_at":"2026-07-05T05:26:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2212.09634","created_at":"2026-07-05T05:26:29Z"},{"alias_kind":"pith_short_12","alias_value":"A63JRCQBTXRE","created_at":"2026-07-05T05:26:29Z"},{"alias_kind":"pith_short_16","alias_value":"A63JRCQBTXRE3GCN","created_at":"2026-07-05T05:26:29Z"},{"alias_kind":"pith_short_8","alias_value":"A63JRCQB","created_at":"2026-07-05T05:26:29Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2022:A63JRCQBTXRE3GCNSVMTSJKX4G","target":"record","payload":{"canonical_record":{"source":{"id":"2212.09634","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OC","submitted_at":"2022-12-19T17:10:16Z","cross_cats_sorted":[],"title_canon_sha256":"e97b3990d1bf6e917143e91ebb27d30038a5c67a7f39cff338f665aaa8247da0","abstract_canon_sha256":"270277d779f7854ad6cea6c483caa59e57c25210171c9186d3e70362079ae59e"},"schema_version":"1.0"},"canonical_sha256":"07b6988a019de24d984d9559392557e19d06c3faaa79c7fa6eabe9a362609520","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T05:26:29.491189Z","signature_b64":"/Pl8s6BCnIXYPSgTm5xJzYR4LW93aZbqiJKSmocwiF/wsxtg79qEE0h9p72Z9U2B+hCGje1+tZSaS7y9oLkjBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"07b6988a019de24d984d9559392557e19d06c3faaa79c7fa6eabe9a362609520","last_reissued_at":"2026-07-05T05:26:29.490856Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T05:26:29.490856Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2212.09634","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T05:26:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"P0WZmc3RfxOUZCDBAS+mFuNIDF/kTERZURtIYw4SGEXKs3/Ch7YWhohQF2An25Q1b5I1sjEJMbzu0rzvDkLDBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-01T09:37:02.553671Z"},"content_sha256":"b0c93cdd405d897bf926add5951fb196c62dda6edafe22607f3db6fa716c165f","schema_version":"1.0","event_id":"sha256:b0c93cdd405d897bf926add5951fb196c62dda6edafe22607f3db6fa716c165f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2022:A63JRCQBTXRE3GCNSVMTSJKX4G","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the synchronization of the Kuramoto-type model of oscillators with lossy couplings","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Ioannis Lestas, Khaled Laib, Yemi Ojo","submitted_at":"2022-12-19T17:10:16Z","abstract_excerpt":"We consider the problem of synchronization of coupled oscillators in a Kuramoto-type model with lossy couplings. Kuramoto models have been used to gain insight on the stability of power networks which are usually nonlinear and involve large scale interconnections. Such models commonly assume lossless couplings and Lyapunov functions have predominantly been employed to prove stability. However, coupling conductances can impact synchronization. We therefore consider a more advanced Kuramoto model that includes coupling conductances, and is characterized by nonhomogeneous coupling weights and non"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2212.09634","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2212.09634/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T05:26:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZvKBWF7JTT/B7RgfhveuWp36n2u4ub5oHdzHzlanKREiaKQWfgi649xMVi5miv+3dWKu5XEMbq4vE9j2GpcQDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-01T09:37:02.554180Z"},"content_sha256":"831e8f8a19c001ea5927019499e05c660fb4ffc87fb2a83ec59e66f0c169c0a5","schema_version":"1.0","event_id":"sha256:831e8f8a19c001ea5927019499e05c660fb4ffc87fb2a83ec59e66f0c169c0a5"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/A63JRCQBTXRE3GCNSVMTSJKX4G/bundle.json","state_url":"https://pith.science/pith/A63JRCQBTXRE3GCNSVMTSJKX4G/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/A63JRCQBTXRE3GCNSVMTSJKX4G/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":"2026-08-01T09:37:02Z","links":{"resolver":"https://pith.science/pith/A63JRCQBTXRE3GCNSVMTSJKX4G","bundle":"https://pith.science/pith/A63JRCQBTXRE3GCNSVMTSJKX4G/bundle.json","state":"https://pith.science/pith/A63JRCQBTXRE3GCNSVMTSJKX4G/state.json","well_known_bundle":"https://pith.science/.well-known/pith/A63JRCQBTXRE3GCNSVMTSJKX4G/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:A63JRCQBTXRE3GCNSVMTSJKX4G","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":"270277d779f7854ad6cea6c483caa59e57c25210171c9186d3e70362079ae59e","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OC","submitted_at":"2022-12-19T17:10:16Z","title_canon_sha256":"e97b3990d1bf6e917143e91ebb27d30038a5c67a7f39cff338f665aaa8247da0"},"schema_version":"1.0","source":{"id":"2212.09634","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2212.09634","created_at":"2026-07-05T05:26:29Z"},{"alias_kind":"arxiv_version","alias_value":"2212.09634v1","created_at":"2026-07-05T05:26:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2212.09634","created_at":"2026-07-05T05:26:29Z"},{"alias_kind":"pith_short_12","alias_value":"A63JRCQBTXRE","created_at":"2026-07-05T05:26:29Z"},{"alias_kind":"pith_short_16","alias_value":"A63JRCQBTXRE3GCN","created_at":"2026-07-05T05:26:29Z"},{"alias_kind":"pith_short_8","alias_value":"A63JRCQB","created_at":"2026-07-05T05:26:29Z"}],"graph_snapshots":[{"event_id":"sha256:831e8f8a19c001ea5927019499e05c660fb4ffc87fb2a83ec59e66f0c169c0a5","target":"graph","created_at":"2026-07-05T05:26:29Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2212.09634/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We consider the problem of synchronization of coupled oscillators in a Kuramoto-type model with lossy couplings. Kuramoto models have been used to gain insight on the stability of power networks which are usually nonlinear and involve large scale interconnections. Such models commonly assume lossless couplings and Lyapunov functions have predominantly been employed to prove stability. However, coupling conductances can impact synchronization. We therefore consider a more advanced Kuramoto model that includes coupling conductances, and is characterized by nonhomogeneous coupling weights and non","authors_text":"Ioannis Lestas, Khaled Laib, Yemi Ojo","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OC","submitted_at":"2022-12-19T17:10:16Z","title":"On the synchronization of the Kuramoto-type model of oscillators with lossy couplings"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2212.09634","kind":"arxiv","version":1},"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:b0c93cdd405d897bf926add5951fb196c62dda6edafe22607f3db6fa716c165f","target":"record","created_at":"2026-07-05T05:26:29Z","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":"270277d779f7854ad6cea6c483caa59e57c25210171c9186d3e70362079ae59e","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OC","submitted_at":"2022-12-19T17:10:16Z","title_canon_sha256":"e97b3990d1bf6e917143e91ebb27d30038a5c67a7f39cff338f665aaa8247da0"},"schema_version":"1.0","source":{"id":"2212.09634","kind":"arxiv","version":1}},"canonical_sha256":"07b6988a019de24d984d9559392557e19d06c3faaa79c7fa6eabe9a362609520","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"07b6988a019de24d984d9559392557e19d06c3faaa79c7fa6eabe9a362609520","first_computed_at":"2026-07-05T05:26:29.490856Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:26:29.490856Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/Pl8s6BCnIXYPSgTm5xJzYR4LW93aZbqiJKSmocwiF/wsxtg79qEE0h9p72Z9U2B+hCGje1+tZSaS7y9oLkjBA==","signature_status":"signed_v1","signed_at":"2026-07-05T05:26:29.491189Z","signed_message":"canonical_sha256_bytes"},"source_id":"2212.09634","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b0c93cdd405d897bf926add5951fb196c62dda6edafe22607f3db6fa716c165f","sha256:831e8f8a19c001ea5927019499e05c660fb4ffc87fb2a83ec59e66f0c169c0a5"],"state_sha256":"3c42237a0d47a553a03d024126867ca22b5d8318efca161cbe535df7509e2c6b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rhgyrDNro+7xMmNHWzz3a+jrqMiT8BJ8w1Im75foXVluUA5tDd+ivCSeC1eV9vAIyFcMJS2ttN6pEJvSFMXrDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-01T09:37:02.560305Z","bundle_sha256":"8a1a3bbdddabce764ad4b326ce060a095a26dd6e9a3e4c26d94478dc382104a3"}}