{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:BFHEJ476NVPYBFYCYE3E2SZZB2","short_pith_number":"pith:BFHEJ476","canonical_record":{"source":{"id":"1707.07164","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2017-07-22T13:40:56Z","cross_cats_sorted":["math.AP"],"title_canon_sha256":"872f26b004636216e04dcffa4bfdb1afeb77bc14b1a67884d439184a81896817","abstract_canon_sha256":"a8bdbf33981efd9a1035647b6624120bedfc57d1226c28d94a0416da9153692d"},"schema_version":"1.0"},"canonical_sha256":"094e44f3fe6d5f809702c1364d4b390e9415eade03280f282a3e28668c9b1ac2","source":{"kind":"arxiv","id":"1707.07164","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1707.07164","created_at":"2026-05-18T00:39:45Z"},{"alias_kind":"arxiv_version","alias_value":"1707.07164v1","created_at":"2026-05-18T00:39:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1707.07164","created_at":"2026-05-18T00:39:45Z"},{"alias_kind":"pith_short_12","alias_value":"BFHEJ476NVPY","created_at":"2026-05-18T12:31:08Z"},{"alias_kind":"pith_short_16","alias_value":"BFHEJ476NVPYBFYC","created_at":"2026-05-18T12:31:08Z"},{"alias_kind":"pith_short_8","alias_value":"BFHEJ476","created_at":"2026-05-18T12:31:08Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:BFHEJ476NVPYBFYCYE3E2SZZB2","target":"record","payload":{"canonical_record":{"source":{"id":"1707.07164","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2017-07-22T13:40:56Z","cross_cats_sorted":["math.AP"],"title_canon_sha256":"872f26b004636216e04dcffa4bfdb1afeb77bc14b1a67884d439184a81896817","abstract_canon_sha256":"a8bdbf33981efd9a1035647b6624120bedfc57d1226c28d94a0416da9153692d"},"schema_version":"1.0"},"canonical_sha256":"094e44f3fe6d5f809702c1364d4b390e9415eade03280f282a3e28668c9b1ac2","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:39:45.147683Z","signature_b64":"FpfrMNmiXTkbtEhyRgdah7n3aROL7QPuEz0mco5YZFLtk1W74J1RZe9Sy5SMmkD/U0qzvU37odzgY8dYeFiECg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"094e44f3fe6d5f809702c1364d4b390e9415eade03280f282a3e28668c9b1ac2","last_reissued_at":"2026-05-18T00:39:45.146857Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:39:45.146857Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1707.07164","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":"2026-05-18T00:39:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cXCxLMSsZdC4qzammvbGV0s18PhPis5vIEmTiAk/Ncn7X8UKf47XWDiSvJ8XY9yYMkmAHcuWC3o00sQmyVbYDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T02:39:29.511216Z"},"content_sha256":"6ff25229cd5887ee33d0dcb44d33c27c548a8547aaea4ecff729f023e8d40798","schema_version":"1.0","event_id":"sha256:6ff25229cd5887ee33d0dcb44d33c27c548a8547aaea4ecff729f023e8d40798"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:BFHEJ476NVPYBFYCYE3E2SZZB2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Emergent dynamics of the Kuramoto ensemble under the effect of inertia","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP"],"primary_cat":"math.DS","authors_text":"Javier Morales, Seung-Yeal Ha, Young-Pil Choi","submitted_at":"2017-07-22T13:40:56Z","abstract_excerpt":"We study the emergent collective behaviors for an ensemble of identical Kuramoto oscillators under the effect of inertia. In the absence of inertial effects, it is well known that the generic initial Kuramoto ensemble relaxes to the phase-locked states asymptotically (emergence of complete synchronization) in a large coupling regime. Similarly, even for the presence of inertial effects, similar collective behaviors are observed numerically for generic initial configurations in a large coupling strength regime. However, this phenomenon has not been verified analytically in full generality yet, "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.07164","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:39:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6Qr7jknHMgmXZZTUsmBg+4FdMYQ/x7Gtm6z1I21pqQgpw0MdBCPGEjgH/heOBmLgXibPNwtM8tFIJXRQIYaqBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T02:39:29.511786Z"},"content_sha256":"a6c2500c1d5f93a89b1a232c6cfbe9c22dcc6d3bbd8daf7d1fba9770f499ece1","schema_version":"1.0","event_id":"sha256:a6c2500c1d5f93a89b1a232c6cfbe9c22dcc6d3bbd8daf7d1fba9770f499ece1"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/BFHEJ476NVPYBFYCYE3E2SZZB2/bundle.json","state_url":"https://pith.science/pith/BFHEJ476NVPYBFYCYE3E2SZZB2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/BFHEJ476NVPYBFYCYE3E2SZZB2/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":"2026-06-07T02:39:29Z","links":{"resolver":"https://pith.science/pith/BFHEJ476NVPYBFYCYE3E2SZZB2","bundle":"https://pith.science/pith/BFHEJ476NVPYBFYCYE3E2SZZB2/bundle.json","state":"https://pith.science/pith/BFHEJ476NVPYBFYCYE3E2SZZB2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/BFHEJ476NVPYBFYCYE3E2SZZB2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:BFHEJ476NVPYBFYCYE3E2SZZB2","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":"a8bdbf33981efd9a1035647b6624120bedfc57d1226c28d94a0416da9153692d","cross_cats_sorted":["math.AP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2017-07-22T13:40:56Z","title_canon_sha256":"872f26b004636216e04dcffa4bfdb1afeb77bc14b1a67884d439184a81896817"},"schema_version":"1.0","source":{"id":"1707.07164","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1707.07164","created_at":"2026-05-18T00:39:45Z"},{"alias_kind":"arxiv_version","alias_value":"1707.07164v1","created_at":"2026-05-18T00:39:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1707.07164","created_at":"2026-05-18T00:39:45Z"},{"alias_kind":"pith_short_12","alias_value":"BFHEJ476NVPY","created_at":"2026-05-18T12:31:08Z"},{"alias_kind":"pith_short_16","alias_value":"BFHEJ476NVPYBFYC","created_at":"2026-05-18T12:31:08Z"},{"alias_kind":"pith_short_8","alias_value":"BFHEJ476","created_at":"2026-05-18T12:31:08Z"}],"graph_snapshots":[{"event_id":"sha256:a6c2500c1d5f93a89b1a232c6cfbe9c22dcc6d3bbd8daf7d1fba9770f499ece1","target":"graph","created_at":"2026-05-18T00:39:45Z","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":"We study the emergent collective behaviors for an ensemble of identical Kuramoto oscillators under the effect of inertia. In the absence of inertial effects, it is well known that the generic initial Kuramoto ensemble relaxes to the phase-locked states asymptotically (emergence of complete synchronization) in a large coupling regime. Similarly, even for the presence of inertial effects, similar collective behaviors are observed numerically for generic initial configurations in a large coupling strength regime. However, this phenomenon has not been verified analytically in full generality yet, ","authors_text":"Javier Morales, Seung-Yeal Ha, Young-Pil Choi","cross_cats":["math.AP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2017-07-22T13:40:56Z","title":"Emergent dynamics of the Kuramoto ensemble under the effect of inertia"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.07164","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":"sha256:6ff25229cd5887ee33d0dcb44d33c27c548a8547aaea4ecff729f023e8d40798","target":"record","created_at":"2026-05-18T00:39:45Z","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":"a8bdbf33981efd9a1035647b6624120bedfc57d1226c28d94a0416da9153692d","cross_cats_sorted":["math.AP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2017-07-22T13:40:56Z","title_canon_sha256":"872f26b004636216e04dcffa4bfdb1afeb77bc14b1a67884d439184a81896817"},"schema_version":"1.0","source":{"id":"1707.07164","kind":"arxiv","version":1}},"canonical_sha256":"094e44f3fe6d5f809702c1364d4b390e9415eade03280f282a3e28668c9b1ac2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"094e44f3fe6d5f809702c1364d4b390e9415eade03280f282a3e28668c9b1ac2","first_computed_at":"2026-05-18T00:39:45.146857Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:39:45.146857Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"FpfrMNmiXTkbtEhyRgdah7n3aROL7QPuEz0mco5YZFLtk1W74J1RZe9Sy5SMmkD/U0qzvU37odzgY8dYeFiECg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:39:45.147683Z","signed_message":"canonical_sha256_bytes"},"source_id":"1707.07164","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6ff25229cd5887ee33d0dcb44d33c27c548a8547aaea4ecff729f023e8d40798","sha256:a6c2500c1d5f93a89b1a232c6cfbe9c22dcc6d3bbd8daf7d1fba9770f499ece1"],"state_sha256":"03e554bf344831f5e1b1e496374add2a8825605f4d0c37602d9420f713533a38"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0Uwvs1S6WWPwwQTkSRQhIYhFqEXrp507xwXO+VJPLFE08MA3OeT2fICE+8zb8HC92TSYLCW/V+Bxh/Slve4DBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-07T02:39:29.514856Z","bundle_sha256":"a9a3c266f8f3cbe64cab6392dc8829b9967a464494d0ffc19812110192568db2"}}