{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:MVD5QUO6NFOITC22D5TFSO7MFX","short_pith_number":"pith:MVD5QUO6","canonical_record":{"source":{"id":"1804.01274","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2018-04-04T07:38:55Z","cross_cats_sorted":["nlin.AO"],"title_canon_sha256":"96f2c185f4221963e89f1531ac4e736ab8b586529c9dcc9d63b24277fd8fa0af","abstract_canon_sha256":"6244ebc9faabba198b38e8c441e79726038ce10237a6c6b8e9344c7fcc5bcc84"},"schema_version":"1.0"},"canonical_sha256":"6547d851de695c898b5a1f66593bec2dc695aa67ac188e4b481ccb08f9af1251","source":{"kind":"arxiv","id":"1804.01274","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1804.01274","created_at":"2026-05-18T00:15:14Z"},{"alias_kind":"arxiv_version","alias_value":"1804.01274v1","created_at":"2026-05-18T00:15:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.01274","created_at":"2026-05-18T00:15:14Z"},{"alias_kind":"pith_short_12","alias_value":"MVD5QUO6NFOI","created_at":"2026-05-18T12:32:40Z"},{"alias_kind":"pith_short_16","alias_value":"MVD5QUO6NFOITC22","created_at":"2026-05-18T12:32:40Z"},{"alias_kind":"pith_short_8","alias_value":"MVD5QUO6","created_at":"2026-05-18T12:32:40Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:MVD5QUO6NFOITC22D5TFSO7MFX","target":"record","payload":{"canonical_record":{"source":{"id":"1804.01274","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2018-04-04T07:38:55Z","cross_cats_sorted":["nlin.AO"],"title_canon_sha256":"96f2c185f4221963e89f1531ac4e736ab8b586529c9dcc9d63b24277fd8fa0af","abstract_canon_sha256":"6244ebc9faabba198b38e8c441e79726038ce10237a6c6b8e9344c7fcc5bcc84"},"schema_version":"1.0"},"canonical_sha256":"6547d851de695c898b5a1f66593bec2dc695aa67ac188e4b481ccb08f9af1251","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:15:14.894850Z","signature_b64":"jqi0ynnrxkrVHdV3Bt9KZMdAAzSJEe7JPhM+8d7fFHlJguoGTTutlSeXkY3nV1GfHi6H96lLBNFjJTXd4hj2Dg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6547d851de695c898b5a1f66593bec2dc695aa67ac188e4b481ccb08f9af1251","last_reissued_at":"2026-05-18T00:15:14.894330Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:15:14.894330Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1804.01274","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":"2026-05-18T00:15:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"aRQcEVb6+AEH1p/f0fCBaWYJWGMPmsIpY9RocmoiK7oAYxm73WA/bsQCuujnZrWBsO/d9Y2daIctjDj0c+FDDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T21:56:46.388493Z"},"content_sha256":"4d8ceb76bfd44cc13a47bed1838c45cd16930ec3fabdb3af9e8c6d2efc6b452b","schema_version":"1.0","event_id":"sha256:4d8ceb76bfd44cc13a47bed1838c45cd16930ec3fabdb3af9e8c6d2efc6b452b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:MVD5QUO6NFOITC22D5TFSO7MFX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Phase-response analysis of synchronization for periodic flows","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["nlin.AO"],"primary_cat":"physics.flu-dyn","authors_text":"Hiroya Nakao, Kunihiko Taira","submitted_at":"2018-04-04T07:38:55Z","abstract_excerpt":"We apply the phase-reduction analysis to examine synchronization properties of periodic fluid flows. The dynamics of unsteady flows are described in terms of the phase dynamics reducing the high-dimensional fluid flow to its single scalar phase variable. We characterize the phase response to impulse perturbations, which can in turn quantify the influence of periodic perturbations on the unsteady flow. These insights from the phase-based analysis uncover the condition for synchronization. In the present work, we study as an example the influence of periodic external forcing on unsteady cylinder"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.01274","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":"2026-05-18T00:15:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tIT0Jxg/RNy7hxYmwlqQgwAcbdFPdisqRW/TeZ5TKYuKQpnhNDwARu/s4iI3TyyGHaChGg72/iGlCsROyQhLCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T21:56:46.388846Z"},"content_sha256":"3deffd30ab5b6e4fc4478bb025197a0966d57a7b722ad657fa98932571b6f5ef","schema_version":"1.0","event_id":"sha256:3deffd30ab5b6e4fc4478bb025197a0966d57a7b722ad657fa98932571b6f5ef"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MVD5QUO6NFOITC22D5TFSO7MFX/bundle.json","state_url":"https://pith.science/pith/MVD5QUO6NFOITC22D5TFSO7MFX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MVD5QUO6NFOITC22D5TFSO7MFX/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":"2026-06-02T21:56:46Z","links":{"resolver":"https://pith.science/pith/MVD5QUO6NFOITC22D5TFSO7MFX","bundle":"https://pith.science/pith/MVD5QUO6NFOITC22D5TFSO7MFX/bundle.json","state":"https://pith.science/pith/MVD5QUO6NFOITC22D5TFSO7MFX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MVD5QUO6NFOITC22D5TFSO7MFX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:MVD5QUO6NFOITC22D5TFSO7MFX","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":"6244ebc9faabba198b38e8c441e79726038ce10237a6c6b8e9344c7fcc5bcc84","cross_cats_sorted":["nlin.AO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2018-04-04T07:38:55Z","title_canon_sha256":"96f2c185f4221963e89f1531ac4e736ab8b586529c9dcc9d63b24277fd8fa0af"},"schema_version":"1.0","source":{"id":"1804.01274","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1804.01274","created_at":"2026-05-18T00:15:14Z"},{"alias_kind":"arxiv_version","alias_value":"1804.01274v1","created_at":"2026-05-18T00:15:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.01274","created_at":"2026-05-18T00:15:14Z"},{"alias_kind":"pith_short_12","alias_value":"MVD5QUO6NFOI","created_at":"2026-05-18T12:32:40Z"},{"alias_kind":"pith_short_16","alias_value":"MVD5QUO6NFOITC22","created_at":"2026-05-18T12:32:40Z"},{"alias_kind":"pith_short_8","alias_value":"MVD5QUO6","created_at":"2026-05-18T12:32:40Z"}],"graph_snapshots":[{"event_id":"sha256:3deffd30ab5b6e4fc4478bb025197a0966d57a7b722ad657fa98932571b6f5ef","target":"graph","created_at":"2026-05-18T00:15:14Z","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 apply the phase-reduction analysis to examine synchronization properties of periodic fluid flows. The dynamics of unsteady flows are described in terms of the phase dynamics reducing the high-dimensional fluid flow to its single scalar phase variable. We characterize the phase response to impulse perturbations, which can in turn quantify the influence of periodic perturbations on the unsteady flow. These insights from the phase-based analysis uncover the condition for synchronization. In the present work, we study as an example the influence of periodic external forcing on unsteady cylinder","authors_text":"Hiroya Nakao, Kunihiko Taira","cross_cats":["nlin.AO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2018-04-04T07:38:55Z","title":"Phase-response analysis of synchronization for periodic flows"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.01274","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":"sha256:4d8ceb76bfd44cc13a47bed1838c45cd16930ec3fabdb3af9e8c6d2efc6b452b","target":"record","created_at":"2026-05-18T00:15:14Z","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":"6244ebc9faabba198b38e8c441e79726038ce10237a6c6b8e9344c7fcc5bcc84","cross_cats_sorted":["nlin.AO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2018-04-04T07:38:55Z","title_canon_sha256":"96f2c185f4221963e89f1531ac4e736ab8b586529c9dcc9d63b24277fd8fa0af"},"schema_version":"1.0","source":{"id":"1804.01274","kind":"arxiv","version":1}},"canonical_sha256":"6547d851de695c898b5a1f66593bec2dc695aa67ac188e4b481ccb08f9af1251","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6547d851de695c898b5a1f66593bec2dc695aa67ac188e4b481ccb08f9af1251","first_computed_at":"2026-05-18T00:15:14.894330Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:15:14.894330Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jqi0ynnrxkrVHdV3Bt9KZMdAAzSJEe7JPhM+8d7fFHlJguoGTTutlSeXkY3nV1GfHi6H96lLBNFjJTXd4hj2Dg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:15:14.894850Z","signed_message":"canonical_sha256_bytes"},"source_id":"1804.01274","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4d8ceb76bfd44cc13a47bed1838c45cd16930ec3fabdb3af9e8c6d2efc6b452b","sha256:3deffd30ab5b6e4fc4478bb025197a0966d57a7b722ad657fa98932571b6f5ef"],"state_sha256":"7780c84bd3a15c185ca9083b6bc1a5a1c2b1b26e58cf7d41b157dea3e261501a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xyEkIDhlYMh+Cl+vQzqIMlIwGJ40ABqflQsCtwqrtQdE6AAfkQ4jkHZwVBZYdv4C20GwlqHURyK4OXqo+qsQCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T21:56:46.390846Z","bundle_sha256":"6d02cb36d50532b9aa978718a6534de9617f4ce02463ddcfe8359b39b8da5ef9"}}