{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:FU72HHMA4ZRPMCYIT3ZWPE4TAM","short_pith_number":"pith:FU72HHMA","schema_version":"1.0","canonical_sha256":"2d3fa39d80e662f60b089ef3679393033e6738a9f9bce6ac99468810ddb66ea2","source":{"kind":"arxiv","id":"1812.02328","version":1},"attestation_state":"computed","paper":{"title":"Phase Space Analysis of the Non-Existence of Dynamical Matching in a Stretched Caldera Potential Energy Surface","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.DS","math.MP","physics.chem-ph"],"primary_cat":"nlin.CD","authors_text":"Matthaios Katsanikas, Stephen Wiggins","submitted_at":"2018-12-04T19:06:22Z","abstract_excerpt":"In this paper we continue our studies of the two dimensional caldera potential energy surface in a parametrized family that allows for a study of the effect of symmetry on the phase space structures that govern how trajectories enter, cross, and exit the region of the caldera. As a particular form of trajectory crossing, we are able to determine the effect of symmetry and phase space structure on dynamical matching. We show that there is a critical value of the symmetry parameter which controls the phase space structures responsible for the manner of crossing, interacting with the central regi"},"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":"1812.02328","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2018-12-04T19:06:22Z","cross_cats_sorted":["math-ph","math.DS","math.MP","physics.chem-ph"],"title_canon_sha256":"a958cd4bc206f58cc1cc58d4149c41b99894181264cdf89d9da1f531be27b15a","abstract_canon_sha256":"40c6209336abf57a2a1966bc1710a0f5024a9b3f8b7b26955ce26ce601f99b3e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:45:32.273195Z","signature_b64":"dTzNdw98m5FcMZCrurHu1DW8Z62yJa3xoMWwkVaZqhyke4FsmfDh0nDv9M/ATRVi/mzuUCT5MLW6JRifSTCOBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2d3fa39d80e662f60b089ef3679393033e6738a9f9bce6ac99468810ddb66ea2","last_reissued_at":"2026-05-17T23:45:32.272516Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:45:32.272516Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Phase Space Analysis of the Non-Existence of Dynamical Matching in a Stretched Caldera Potential Energy Surface","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.DS","math.MP","physics.chem-ph"],"primary_cat":"nlin.CD","authors_text":"Matthaios Katsanikas, Stephen Wiggins","submitted_at":"2018-12-04T19:06:22Z","abstract_excerpt":"In this paper we continue our studies of the two dimensional caldera potential energy surface in a parametrized family that allows for a study of the effect of symmetry on the phase space structures that govern how trajectories enter, cross, and exit the region of the caldera. As a particular form of trajectory crossing, we are able to determine the effect of symmetry and phase space structure on dynamical matching. We show that there is a critical value of the symmetry parameter which controls the phase space structures responsible for the manner of crossing, interacting with the central regi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1812.02328","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":"1812.02328","created_at":"2026-05-17T23:45:32.272618+00:00"},{"alias_kind":"arxiv_version","alias_value":"1812.02328v1","created_at":"2026-05-17T23:45:32.272618+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1812.02328","created_at":"2026-05-17T23:45:32.272618+00:00"},{"alias_kind":"pith_short_12","alias_value":"FU72HHMA4ZRP","created_at":"2026-05-18T12:32:25.280505+00:00"},{"alias_kind":"pith_short_16","alias_value":"FU72HHMA4ZRPMCYI","created_at":"2026-05-18T12:32:25.280505+00:00"},{"alias_kind":"pith_short_8","alias_value":"FU72HHMA","created_at":"2026-05-18T12:32:25.280505+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/FU72HHMA4ZRPMCYIT3ZWPE4TAM","json":"https://pith.science/pith/FU72HHMA4ZRPMCYIT3ZWPE4TAM.json","graph_json":"https://pith.science/api/pith-number/FU72HHMA4ZRPMCYIT3ZWPE4TAM/graph.json","events_json":"https://pith.science/api/pith-number/FU72HHMA4ZRPMCYIT3ZWPE4TAM/events.json","paper":"https://pith.science/paper/FU72HHMA"},"agent_actions":{"view_html":"https://pith.science/pith/FU72HHMA4ZRPMCYIT3ZWPE4TAM","download_json":"https://pith.science/pith/FU72HHMA4ZRPMCYIT3ZWPE4TAM.json","view_paper":"https://pith.science/paper/FU72HHMA","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1812.02328&json=true","fetch_graph":"https://pith.science/api/pith-number/FU72HHMA4ZRPMCYIT3ZWPE4TAM/graph.json","fetch_events":"https://pith.science/api/pith-number/FU72HHMA4ZRPMCYIT3ZWPE4TAM/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/FU72HHMA4ZRPMCYIT3ZWPE4TAM/action/timestamp_anchor","attest_storage":"https://pith.science/pith/FU72HHMA4ZRPMCYIT3ZWPE4TAM/action/storage_attestation","attest_author":"https://pith.science/pith/FU72HHMA4ZRPMCYIT3ZWPE4TAM/action/author_attestation","sign_citation":"https://pith.science/pith/FU72HHMA4ZRPMCYIT3ZWPE4TAM/action/citation_signature","submit_replication":"https://pith.science/pith/FU72HHMA4ZRPMCYIT3ZWPE4TAM/action/replication_record"}},"created_at":"2026-05-17T23:45:32.272618+00:00","updated_at":"2026-05-17T23:45:32.272618+00:00"}