{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:HNNZ4ZOWOJGYAIJANNA6HARYRX","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":"35be0a90580d23bbec9da8c9cca7d01092d1c8c8a25fd848b2211a74bea923ad","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.AO","submitted_at":"2017-01-19T14:23:13Z","title_canon_sha256":"d44e088f4863bdc824a94c13272130954e1bfea095186218b5ec74254b9391e3"},"schema_version":"1.0","source":{"id":"1701.05428","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1701.05428","created_at":"2026-05-18T00:49:46Z"},{"alias_kind":"arxiv_version","alias_value":"1701.05428v2","created_at":"2026-05-18T00:49:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.05428","created_at":"2026-05-18T00:49:46Z"},{"alias_kind":"pith_short_12","alias_value":"HNNZ4ZOWOJGY","created_at":"2026-05-18T12:31:18Z"},{"alias_kind":"pith_short_16","alias_value":"HNNZ4ZOWOJGYAIJA","created_at":"2026-05-18T12:31:18Z"},{"alias_kind":"pith_short_8","alias_value":"HNNZ4ZOW","created_at":"2026-05-18T12:31:18Z"}],"graph_snapshots":[{"event_id":"sha256:207cd7efa0a4c752400aa969daa9c91cb2c3524042d579ac0a6b671f7e82a852","target":"graph","created_at":"2026-05-18T00:49:46Z","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":"Phase reduction framework for limit-cycling systems based on isochrons has been used as a powerful tool for analyzing rhythmic phenomena. Recently, the notion of isostables, which complements the isochrons by characterizing amplitudes of the system state, i.e., deviations from the limit-cycle attractor, has been introduced to describe transient dynamics around the limit cycle [Wilson and Moehlis, Phys. Rev. E 94, 052213 (2016)]. In this study, we introduce a framework for a reduced phase-amplitude description of transient dynamics of stable limit-cycling systems. In contrast to the preceding s","authors_text":"Hiroya Nakao, Sho Shirasaka, Wataru Kurebayashi","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.AO","submitted_at":"2017-01-19T14:23:13Z","title":"Phase-amplitude reduction of transient dynamics far from attractors for limit-cycling systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.05428","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":"sha256:2cabd21ffb1617dd551a6c6d0995d97aef7515303c87829d7d794f24fb87ae43","target":"record","created_at":"2026-05-18T00:49:46Z","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":"35be0a90580d23bbec9da8c9cca7d01092d1c8c8a25fd848b2211a74bea923ad","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.AO","submitted_at":"2017-01-19T14:23:13Z","title_canon_sha256":"d44e088f4863bdc824a94c13272130954e1bfea095186218b5ec74254b9391e3"},"schema_version":"1.0","source":{"id":"1701.05428","kind":"arxiv","version":2}},"canonical_sha256":"3b5b9e65d6724d8021206b41e382388dd3829d84a3c6f6df299a953519dc90c9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3b5b9e65d6724d8021206b41e382388dd3829d84a3c6f6df299a953519dc90c9","first_computed_at":"2026-05-18T00:49:46.502453Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:49:46.502453Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"WX2DeD+bec6REoHO94SvSW41C63sz59dNUUT14KtAhR0Q3/+6T+YcilVoHPDhyfMfKLWR4pNexIcnXX56L1VAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:49:46.503064Z","signed_message":"canonical_sha256_bytes"},"source_id":"1701.05428","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2cabd21ffb1617dd551a6c6d0995d97aef7515303c87829d7d794f24fb87ae43","sha256:207cd7efa0a4c752400aa969daa9c91cb2c3524042d579ac0a6b671f7e82a852"],"state_sha256":"e485339a3a976bf4fd4e862f5c48b74310d316336930a76dc83c613aefea1a70"}