{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:A75AF53VJOTGL322HLMX777DZJ","short_pith_number":"pith:A75AF53V","schema_version":"1.0","canonical_sha256":"07fa02f7754ba665ef5a3ad97fffe3ca6ba3869d72804b41bc557d0b23ffd96e","source":{"kind":"arxiv","id":"1302.1732","version":1},"attestation_state":"computed","paper":{"title":"Detecting invariant manifolds, attractors, and generalized KAM tori in aperiodically forced mechanical systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nlin.CD","authors_text":"Alireza Hadjighasem, George Haller, Mohammad Farazmand","submitted_at":"2013-02-07T12:49:30Z","abstract_excerpt":"We show how the recently developed theory of geodesic transport barriers for fluid flows can be used to uncover key invariant manifolds in externally forced, one-degree-of-freedom mechanical systems. Specifically, invariant sets in such systems turn out to be shadowed by least-stretching geodesics of the Cauchy-Green strain tensor computed from the flow map of the forced mechanical system. This approach enables the finite-time visualization of generalized stable and unstable manifolds, attractors and generalized KAM curves under arbitrary forcing, when Poincare maps are not available. We illus"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1302.1732","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2013-02-07T12:49:30Z","cross_cats_sorted":[],"title_canon_sha256":"5be13f634b56917f8d91ab1cc7a90a6700fdd3ec5298387f8def56d2c8b1edfc","abstract_canon_sha256":"9bb75130b0c56fcd753dfa81827f56f865a41456b951ba4f8c3f4d47e286ff11"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:20:50.871385Z","signature_b64":"BBJFi1+wlUvcLsYDXI09S6aQqET5kkHlTkMSi8LzXZ6E7stXcpuRhMVGyL33IxVPK801/hqqZl8/lb3skNigAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"07fa02f7754ba665ef5a3ad97fffe3ca6ba3869d72804b41bc557d0b23ffd96e","last_reissued_at":"2026-05-18T01:20:50.870778Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:20:50.870778Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Detecting invariant manifolds, attractors, and generalized KAM tori in aperiodically forced mechanical systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nlin.CD","authors_text":"Alireza Hadjighasem, George Haller, Mohammad Farazmand","submitted_at":"2013-02-07T12:49:30Z","abstract_excerpt":"We show how the recently developed theory of geodesic transport barriers for fluid flows can be used to uncover key invariant manifolds in externally forced, one-degree-of-freedom mechanical systems. Specifically, invariant sets in such systems turn out to be shadowed by least-stretching geodesics of the Cauchy-Green strain tensor computed from the flow map of the forced mechanical system. This approach enables the finite-time visualization of generalized stable and unstable manifolds, attractors and generalized KAM curves under arbitrary forcing, when Poincare maps are not available. We illus"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1302.1732","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1302.1732","created_at":"2026-05-18T01:20:50.870865+00:00"},{"alias_kind":"arxiv_version","alias_value":"1302.1732v1","created_at":"2026-05-18T01:20:50.870865+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1302.1732","created_at":"2026-05-18T01:20:50.870865+00:00"},{"alias_kind":"pith_short_12","alias_value":"A75AF53VJOTG","created_at":"2026-05-18T12:27:38.830355+00:00"},{"alias_kind":"pith_short_16","alias_value":"A75AF53VJOTGL322","created_at":"2026-05-18T12:27:38.830355+00:00"},{"alias_kind":"pith_short_8","alias_value":"A75AF53V","created_at":"2026-05-18T12:27:38.830355+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/A75AF53VJOTGL322HLMX777DZJ","json":"https://pith.science/pith/A75AF53VJOTGL322HLMX777DZJ.json","graph_json":"https://pith.science/api/pith-number/A75AF53VJOTGL322HLMX777DZJ/graph.json","events_json":"https://pith.science/api/pith-number/A75AF53VJOTGL322HLMX777DZJ/events.json","paper":"https://pith.science/paper/A75AF53V"},"agent_actions":{"view_html":"https://pith.science/pith/A75AF53VJOTGL322HLMX777DZJ","download_json":"https://pith.science/pith/A75AF53VJOTGL322HLMX777DZJ.json","view_paper":"https://pith.science/paper/A75AF53V","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1302.1732&json=true","fetch_graph":"https://pith.science/api/pith-number/A75AF53VJOTGL322HLMX777DZJ/graph.json","fetch_events":"https://pith.science/api/pith-number/A75AF53VJOTGL322HLMX777DZJ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/A75AF53VJOTGL322HLMX777DZJ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/A75AF53VJOTGL322HLMX777DZJ/action/storage_attestation","attest_author":"https://pith.science/pith/A75AF53VJOTGL322HLMX777DZJ/action/author_attestation","sign_citation":"https://pith.science/pith/A75AF53VJOTGL322HLMX777DZJ/action/citation_signature","submit_replication":"https://pith.science/pith/A75AF53VJOTGL322HLMX777DZJ/action/replication_record"}},"created_at":"2026-05-18T01:20:50.870865+00:00","updated_at":"2026-05-18T01:20:50.870865+00:00"}