{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:IBNNGKDJA4ULC6NYD6XRR3M4DR","short_pith_number":"pith:IBNNGKDJ","schema_version":"1.0","canonical_sha256":"405ad328690728b179b81faf18ed9c1c60f74664b8223339e75bc10d341fca69","source":{"kind":"arxiv","id":"1702.08702","version":1},"attestation_state":"computed","paper":{"title":"The Henon-Heiles system defined on Lie-algebraically deformed Galilei space-time","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Marcin Daszkiewicz","submitted_at":"2017-02-28T09:03:53Z","abstract_excerpt":"In this article we provide the Henon-Heiles system defined on Lie-algebraically deformed nonrelativistic space-time with the commutator of two spatial directions proportional to time. Particularly, we demonstrate that in such a model the total energy is not conserved and for this reason the role of control parameter is taken by the initial energy value $E_{0,{\\rm tot}} = E_{{\\rm tot}}(t=0)$. Besides, we show that in contrast with the commutative case, for chosen values of deformation parameter $\\kappa$, there appears chaos in the system for initial total energies $E_{0,{\\rm tot}}$ below the th"},"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":"1702.08702","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-02-28T09:03:53Z","cross_cats_sorted":[],"title_canon_sha256":"69fd6dfc5b4fbfee06a0c723dd3c31961b8807298c6a0ceb7b2c976f303f5921","abstract_canon_sha256":"0c2bd712baceef73ce969feeb9bf34e9b8241e97d9fd5c93039bb54157a8e30b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:46:00.290432Z","signature_b64":"At09KyK6G2pgX8eeqmJ28d8oRa++SwMeYJ7YC8tBiclroqkiwu3ifM0De4of8wdYiwX/vLXG3HOnlF4vG+bNAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"405ad328690728b179b81faf18ed9c1c60f74664b8223339e75bc10d341fca69","last_reissued_at":"2026-05-18T00:46:00.289708Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:46:00.289708Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The Henon-Heiles system defined on Lie-algebraically deformed Galilei space-time","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Marcin Daszkiewicz","submitted_at":"2017-02-28T09:03:53Z","abstract_excerpt":"In this article we provide the Henon-Heiles system defined on Lie-algebraically deformed nonrelativistic space-time with the commutator of two spatial directions proportional to time. Particularly, we demonstrate that in such a model the total energy is not conserved and for this reason the role of control parameter is taken by the initial energy value $E_{0,{\\rm tot}} = E_{{\\rm tot}}(t=0)$. Besides, we show that in contrast with the commutative case, for chosen values of deformation parameter $\\kappa$, there appears chaos in the system for initial total energies $E_{0,{\\rm tot}}$ below the th"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.08702","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":"1702.08702","created_at":"2026-05-18T00:46:00.289846+00:00"},{"alias_kind":"arxiv_version","alias_value":"1702.08702v1","created_at":"2026-05-18T00:46:00.289846+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1702.08702","created_at":"2026-05-18T00:46:00.289846+00:00"},{"alias_kind":"pith_short_12","alias_value":"IBNNGKDJA4UL","created_at":"2026-05-18T12:31:21.493067+00:00"},{"alias_kind":"pith_short_16","alias_value":"IBNNGKDJA4ULC6NY","created_at":"2026-05-18T12:31:21.493067+00:00"},{"alias_kind":"pith_short_8","alias_value":"IBNNGKDJ","created_at":"2026-05-18T12:31:21.493067+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/IBNNGKDJA4ULC6NYD6XRR3M4DR","json":"https://pith.science/pith/IBNNGKDJA4ULC6NYD6XRR3M4DR.json","graph_json":"https://pith.science/api/pith-number/IBNNGKDJA4ULC6NYD6XRR3M4DR/graph.json","events_json":"https://pith.science/api/pith-number/IBNNGKDJA4ULC6NYD6XRR3M4DR/events.json","paper":"https://pith.science/paper/IBNNGKDJ"},"agent_actions":{"view_html":"https://pith.science/pith/IBNNGKDJA4ULC6NYD6XRR3M4DR","download_json":"https://pith.science/pith/IBNNGKDJA4ULC6NYD6XRR3M4DR.json","view_paper":"https://pith.science/paper/IBNNGKDJ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1702.08702&json=true","fetch_graph":"https://pith.science/api/pith-number/IBNNGKDJA4ULC6NYD6XRR3M4DR/graph.json","fetch_events":"https://pith.science/api/pith-number/IBNNGKDJA4ULC6NYD6XRR3M4DR/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/IBNNGKDJA4ULC6NYD6XRR3M4DR/action/timestamp_anchor","attest_storage":"https://pith.science/pith/IBNNGKDJA4ULC6NYD6XRR3M4DR/action/storage_attestation","attest_author":"https://pith.science/pith/IBNNGKDJA4ULC6NYD6XRR3M4DR/action/author_attestation","sign_citation":"https://pith.science/pith/IBNNGKDJA4ULC6NYD6XRR3M4DR/action/citation_signature","submit_replication":"https://pith.science/pith/IBNNGKDJA4ULC6NYD6XRR3M4DR/action/replication_record"}},"created_at":"2026-05-18T00:46:00.289846+00:00","updated_at":"2026-05-18T00:46:00.289846+00:00"}