{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2021:FRVKWCRUZJKQZGXOJHTALK7W6O","short_pith_number":"pith:FRVKWCRU","canonical_record":{"source":{"id":"2109.08918","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2021-09-18T12:25:31Z","cross_cats_sorted":["nlin.CD"],"title_canon_sha256":"b77cba5c7bbd4023099ba21902480b14507ba43a033594f9b2269611f298a688","abstract_canon_sha256":"884d07476f91a047ae7adca6decf206ba10348781da805340b21e52ddaf98b3e"},"schema_version":"1.0"},"canonical_sha256":"2c6aab0a34ca550c9aee49e605abf6f3a90392d3aec6887efb852df5ab1f1590","source":{"kind":"arxiv","id":"2109.08918","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2109.08918","created_at":"2026-07-05T03:15:39Z"},{"alias_kind":"arxiv_version","alias_value":"2109.08918v1","created_at":"2026-07-05T03:15:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2109.08918","created_at":"2026-07-05T03:15:39Z"},{"alias_kind":"pith_short_12","alias_value":"FRVKWCRUZJKQ","created_at":"2026-07-05T03:15:39Z"},{"alias_kind":"pith_short_16","alias_value":"FRVKWCRUZJKQZGXO","created_at":"2026-07-05T03:15:39Z"},{"alias_kind":"pith_short_8","alias_value":"FRVKWCRU","created_at":"2026-07-05T03:15:39Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2021:FRVKWCRUZJKQZGXOJHTALK7W6O","target":"record","payload":{"canonical_record":{"source":{"id":"2109.08918","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2021-09-18T12:25:31Z","cross_cats_sorted":["nlin.CD"],"title_canon_sha256":"b77cba5c7bbd4023099ba21902480b14507ba43a033594f9b2269611f298a688","abstract_canon_sha256":"884d07476f91a047ae7adca6decf206ba10348781da805340b21e52ddaf98b3e"},"schema_version":"1.0"},"canonical_sha256":"2c6aab0a34ca550c9aee49e605abf6f3a90392d3aec6887efb852df5ab1f1590","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T03:15:39.689891Z","signature_b64":"H+rcQfvRcJ1QDj5Sb5ve3RPmwGEapmU1Lv+18yki2gF7IiiAihnnZ8Y1xMBM+mClGlSNc04QjHZGPGu+7C0mAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2c6aab0a34ca550c9aee49e605abf6f3a90392d3aec6887efb852df5ab1f1590","last_reissued_at":"2026-07-05T03:15:39.689547Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T03:15:39.689547Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2109.08918","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":"2026-07-05T03:15:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cn2U/II1QlJxW+Or2w1Vz33iU5KWosciYmg7akICQAkF/egUwTvGpnUZBSpIYLGkVuZHfabECinBJZYdXN69Ag==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-19T15:26:44.279852Z"},"content_sha256":"5cd3bae412676e7259604a271522a3d20c15c503b0698fb80f4a67bf8851a363","schema_version":"1.0","event_id":"sha256:5cd3bae412676e7259604a271522a3d20c15c503b0698fb80f4a67bf8851a363"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2021:FRVKWCRUZJKQZGXOJHTALK7W6O","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Machine learning approaches for Kuramoto coupled oscillator systems","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["nlin.CD"],"primary_cat":"cond-mat.stat-mech","authors_text":"B. Kahng, Je Ung Song, K. Choi","submitted_at":"2021-09-18T12:25:31Z","abstract_excerpt":"Recently, there has been significant advancement in the machine learning (ML) approach and its application to diverse systems ranging from complex to quantum systems. As one of such systems, a coupled-oscillators system exhibits intriguing collective behaviors, synchronization phase transitions, chaotic behaviors and so on. Even though traditional approaches such as analytical and numerical methods enable to understand diverse properties of such systems, some properties still remain unclear. Here, we applied the ML approach to such systems particularly described by the Kuramoto model, with the"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2109.08918","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/2109.08918/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":"2026-07-05T03:15:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zfuZNOwKXa96zV11oDTKhUGjU8Vm4YA9I+T3IM6v55G7oiabFF3h5f7IB3EkqTyD9O44QF1ZLJqrOYk9aGMzBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-19T15:26:44.280588Z"},"content_sha256":"e6885656152fe01c70ecc1860d4c8cc4269a8cd75fe96e31546f6e1bfb5f2c5d","schema_version":"1.0","event_id":"sha256:e6885656152fe01c70ecc1860d4c8cc4269a8cd75fe96e31546f6e1bfb5f2c5d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FRVKWCRUZJKQZGXOJHTALK7W6O/bundle.json","state_url":"https://pith.science/pith/FRVKWCRUZJKQZGXOJHTALK7W6O/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FRVKWCRUZJKQZGXOJHTALK7W6O/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":"2026-08-19T15:26:44Z","links":{"resolver":"https://pith.science/pith/FRVKWCRUZJKQZGXOJHTALK7W6O","bundle":"https://pith.science/pith/FRVKWCRUZJKQZGXOJHTALK7W6O/bundle.json","state":"https://pith.science/pith/FRVKWCRUZJKQZGXOJHTALK7W6O/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FRVKWCRUZJKQZGXOJHTALK7W6O/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:FRVKWCRUZJKQZGXOJHTALK7W6O","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":"884d07476f91a047ae7adca6decf206ba10348781da805340b21e52ddaf98b3e","cross_cats_sorted":["nlin.CD"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2021-09-18T12:25:31Z","title_canon_sha256":"b77cba5c7bbd4023099ba21902480b14507ba43a033594f9b2269611f298a688"},"schema_version":"1.0","source":{"id":"2109.08918","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2109.08918","created_at":"2026-07-05T03:15:39Z"},{"alias_kind":"arxiv_version","alias_value":"2109.08918v1","created_at":"2026-07-05T03:15:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2109.08918","created_at":"2026-07-05T03:15:39Z"},{"alias_kind":"pith_short_12","alias_value":"FRVKWCRUZJKQ","created_at":"2026-07-05T03:15:39Z"},{"alias_kind":"pith_short_16","alias_value":"FRVKWCRUZJKQZGXO","created_at":"2026-07-05T03:15:39Z"},{"alias_kind":"pith_short_8","alias_value":"FRVKWCRU","created_at":"2026-07-05T03:15:39Z"}],"graph_snapshots":[{"event_id":"sha256:e6885656152fe01c70ecc1860d4c8cc4269a8cd75fe96e31546f6e1bfb5f2c5d","target":"graph","created_at":"2026-07-05T03:15:39Z","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/2109.08918/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Recently, there has been significant advancement in the machine learning (ML) approach and its application to diverse systems ranging from complex to quantum systems. As one of such systems, a coupled-oscillators system exhibits intriguing collective behaviors, synchronization phase transitions, chaotic behaviors and so on. Even though traditional approaches such as analytical and numerical methods enable to understand diverse properties of such systems, some properties still remain unclear. Here, we applied the ML approach to such systems particularly described by the Kuramoto model, with the","authors_text":"B. Kahng, Je Ung Song, K. Choi","cross_cats":["nlin.CD"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2021-09-18T12:25:31Z","title":"Machine learning approaches for Kuramoto coupled oscillator systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2109.08918","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":"sha256:5cd3bae412676e7259604a271522a3d20c15c503b0698fb80f4a67bf8851a363","target":"record","created_at":"2026-07-05T03:15:39Z","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":"884d07476f91a047ae7adca6decf206ba10348781da805340b21e52ddaf98b3e","cross_cats_sorted":["nlin.CD"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2021-09-18T12:25:31Z","title_canon_sha256":"b77cba5c7bbd4023099ba21902480b14507ba43a033594f9b2269611f298a688"},"schema_version":"1.0","source":{"id":"2109.08918","kind":"arxiv","version":1}},"canonical_sha256":"2c6aab0a34ca550c9aee49e605abf6f3a90392d3aec6887efb852df5ab1f1590","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2c6aab0a34ca550c9aee49e605abf6f3a90392d3aec6887efb852df5ab1f1590","first_computed_at":"2026-07-05T03:15:39.689547Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T03:15:39.689547Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"H+rcQfvRcJ1QDj5Sb5ve3RPmwGEapmU1Lv+18yki2gF7IiiAihnnZ8Y1xMBM+mClGlSNc04QjHZGPGu+7C0mAQ==","signature_status":"signed_v1","signed_at":"2026-07-05T03:15:39.689891Z","signed_message":"canonical_sha256_bytes"},"source_id":"2109.08918","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5cd3bae412676e7259604a271522a3d20c15c503b0698fb80f4a67bf8851a363","sha256:e6885656152fe01c70ecc1860d4c8cc4269a8cd75fe96e31546f6e1bfb5f2c5d"],"state_sha256":"d37123b2ed66f9b90fcc1a25a3436bf55c6930432435fb22bc0caefb232d3f8e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gn1Lyf83h+1mpLRAgH2PuZNBj/0gwZO8lxZSZ3fXARxE0/KGPP6YOpfGVVcjv51OKKFJCj2i5FbcTx9EcupgCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-19T15:26:44.289314Z","bundle_sha256":"388726c7822de25b295468cf824070ea3a462b6d3e7390aeb69e51b8b1222b48"}}