{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:RBTGFSY62ZPSTLJCTLVIVPDIVJ","short_pith_number":"pith:RBTGFSY6","schema_version":"1.0","canonical_sha256":"886662cb1ed65f29ad229aea8abc68aa5d20d777c8f870f2348c6ed49291889f","source":{"kind":"arxiv","id":"1203.3821","version":1},"attestation_state":"computed","paper":{"title":"Transport in Transitory, Three-Dimensional, Liouville Flows","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"B. A. Mosovsky, J. D. Meiss","submitted_at":"2012-03-16T21:46:53Z","abstract_excerpt":"We derive an action-flux formula to compute the volumes of lobes quantifying transport between past- and future-invariant Lagrangian coherent structures of n-dimensional, transitory, globally Liouville flows. A transitory system is one that is nonautonomous only on a compact time interval. This method requires relatively little Lagrangian information about the codimension-one surfaces bounding the lobes, relying only on the generalized actions of loops on the lobe boundaries. These are easily computed since the vector fields are autonomous before and after the time-dependent transition. Two ex"},"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":"1203.3821","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2012-03-16T21:46:53Z","cross_cats_sorted":[],"title_canon_sha256":"424674f56053cdf064085c695d9e7dbfb4a40ef47e61eaa0da8afbf9705914e7","abstract_canon_sha256":"8fbdc1ca641489a11b8c3cdcafd32d499af4d210736ddecb2872b278690e4754"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:27:21.348663Z","signature_b64":"69OOjLrk51w0Soeh2POAgVMSmqFpaOrJRKNdbPIIg1VEy3rbJE5Yi4JMnQKjsWyOkl0E+8MTT78oXVbeYNK1Aw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"886662cb1ed65f29ad229aea8abc68aa5d20d777c8f870f2348c6ed49291889f","last_reissued_at":"2026-05-18T03:27:21.348032Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:27:21.348032Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Transport in Transitory, Three-Dimensional, Liouville Flows","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"B. A. Mosovsky, J. D. Meiss","submitted_at":"2012-03-16T21:46:53Z","abstract_excerpt":"We derive an action-flux formula to compute the volumes of lobes quantifying transport between past- and future-invariant Lagrangian coherent structures of n-dimensional, transitory, globally Liouville flows. A transitory system is one that is nonautonomous only on a compact time interval. This method requires relatively little Lagrangian information about the codimension-one surfaces bounding the lobes, relying only on the generalized actions of loops on the lobe boundaries. These are easily computed since the vector fields are autonomous before and after the time-dependent transition. Two ex"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1203.3821","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":"1203.3821","created_at":"2026-05-18T03:27:21.348150+00:00"},{"alias_kind":"arxiv_version","alias_value":"1203.3821v1","created_at":"2026-05-18T03:27:21.348150+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1203.3821","created_at":"2026-05-18T03:27:21.348150+00:00"},{"alias_kind":"pith_short_12","alias_value":"RBTGFSY62ZPS","created_at":"2026-05-18T12:27:20.899486+00:00"},{"alias_kind":"pith_short_16","alias_value":"RBTGFSY62ZPSTLJC","created_at":"2026-05-18T12:27:20.899486+00:00"},{"alias_kind":"pith_short_8","alias_value":"RBTGFSY6","created_at":"2026-05-18T12:27:20.899486+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/RBTGFSY62ZPSTLJCTLVIVPDIVJ","json":"https://pith.science/pith/RBTGFSY62ZPSTLJCTLVIVPDIVJ.json","graph_json":"https://pith.science/api/pith-number/RBTGFSY62ZPSTLJCTLVIVPDIVJ/graph.json","events_json":"https://pith.science/api/pith-number/RBTGFSY62ZPSTLJCTLVIVPDIVJ/events.json","paper":"https://pith.science/paper/RBTGFSY6"},"agent_actions":{"view_html":"https://pith.science/pith/RBTGFSY62ZPSTLJCTLVIVPDIVJ","download_json":"https://pith.science/pith/RBTGFSY62ZPSTLJCTLVIVPDIVJ.json","view_paper":"https://pith.science/paper/RBTGFSY6","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1203.3821&json=true","fetch_graph":"https://pith.science/api/pith-number/RBTGFSY62ZPSTLJCTLVIVPDIVJ/graph.json","fetch_events":"https://pith.science/api/pith-number/RBTGFSY62ZPSTLJCTLVIVPDIVJ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/RBTGFSY62ZPSTLJCTLVIVPDIVJ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/RBTGFSY62ZPSTLJCTLVIVPDIVJ/action/storage_attestation","attest_author":"https://pith.science/pith/RBTGFSY62ZPSTLJCTLVIVPDIVJ/action/author_attestation","sign_citation":"https://pith.science/pith/RBTGFSY62ZPSTLJCTLVIVPDIVJ/action/citation_signature","submit_replication":"https://pith.science/pith/RBTGFSY62ZPSTLJCTLVIVPDIVJ/action/replication_record"}},"created_at":"2026-05-18T03:27:21.348150+00:00","updated_at":"2026-05-18T03:27:21.348150+00:00"}