{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:SVHAEYL74Z2G5XSIHDAOCUCLMC","short_pith_number":"pith:SVHAEYL7","schema_version":"1.0","canonical_sha256":"954e02617fe6746ede4838c0e1504b60be1ea61270b867b4946b4c7059fa15fb","source":{"kind":"arxiv","id":"1201.0225","version":1},"attestation_state":"computed","paper":{"title":"Symplectic integrators in the realm of Hofer's geometry","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.NA"],"primary_cat":"math.SG","authors_text":"Hugo Jim\\'enez-P\\'erez","submitted_at":"2011-12-31T05:08:27Z","abstract_excerpt":"Symplectic integrators constructed from Hamiltonian and Lie formalisms are obtained as symplectic maps whose flow follows the exact solution of a \"sourrounded\" Hamiltonian K = H + h^k H_1. Those modified Hamiltonians depends virtually on the time by h. When the numerical integration of a Hamiltonian system involves more than one symplectic scheme as in the parallel-in-time algorithms, there are not a simple way to control the dynamical behavior of the error Hamiltonian. The interplay of to different symplectic integrators can degenerate their behavior if both have different dynamical propertie"},"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":"1201.0225","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2011-12-31T05:08:27Z","cross_cats_sorted":["math.NA"],"title_canon_sha256":"5c267bafb0469f53ab5a4f6203a335a2b75f58400859ae92651d479b902dfb7d","abstract_canon_sha256":"b4debcfb4946f243aac0e5edf736dcd445897cdcafc549a81717ffb9dcbf29b5"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:05:25.807670Z","signature_b64":"ITfrCfATvObSVvCQpwni8ztslanE5WIRj9tS0HXmmYfeSUMNbeOMxTSSHbI/jTFnfHS5CDAuK8dVGA13h96LDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"954e02617fe6746ede4838c0e1504b60be1ea61270b867b4946b4c7059fa15fb","last_reissued_at":"2026-05-18T04:05:25.806907Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:05:25.806907Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Symplectic integrators in the realm of Hofer's geometry","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.NA"],"primary_cat":"math.SG","authors_text":"Hugo Jim\\'enez-P\\'erez","submitted_at":"2011-12-31T05:08:27Z","abstract_excerpt":"Symplectic integrators constructed from Hamiltonian and Lie formalisms are obtained as symplectic maps whose flow follows the exact solution of a \"sourrounded\" Hamiltonian K = H + h^k H_1. Those modified Hamiltonians depends virtually on the time by h. When the numerical integration of a Hamiltonian system involves more than one symplectic scheme as in the parallel-in-time algorithms, there are not a simple way to control the dynamical behavior of the error Hamiltonian. The interplay of to different symplectic integrators can degenerate their behavior if both have different dynamical propertie"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1201.0225","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":"1201.0225","created_at":"2026-05-18T04:05:25.807032+00:00"},{"alias_kind":"arxiv_version","alias_value":"1201.0225v1","created_at":"2026-05-18T04:05:25.807032+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1201.0225","created_at":"2026-05-18T04:05:25.807032+00:00"},{"alias_kind":"pith_short_12","alias_value":"SVHAEYL74Z2G","created_at":"2026-05-18T12:26:41.206345+00:00"},{"alias_kind":"pith_short_16","alias_value":"SVHAEYL74Z2G5XSI","created_at":"2026-05-18T12:26:41.206345+00:00"},{"alias_kind":"pith_short_8","alias_value":"SVHAEYL7","created_at":"2026-05-18T12:26:41.206345+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2605.05324","citing_title":"A useful representation of TESS light curves","ref_index":57,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/SVHAEYL74Z2G5XSIHDAOCUCLMC","json":"https://pith.science/pith/SVHAEYL74Z2G5XSIHDAOCUCLMC.json","graph_json":"https://pith.science/api/pith-number/SVHAEYL74Z2G5XSIHDAOCUCLMC/graph.json","events_json":"https://pith.science/api/pith-number/SVHAEYL74Z2G5XSIHDAOCUCLMC/events.json","paper":"https://pith.science/paper/SVHAEYL7"},"agent_actions":{"view_html":"https://pith.science/pith/SVHAEYL74Z2G5XSIHDAOCUCLMC","download_json":"https://pith.science/pith/SVHAEYL74Z2G5XSIHDAOCUCLMC.json","view_paper":"https://pith.science/paper/SVHAEYL7","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1201.0225&json=true","fetch_graph":"https://pith.science/api/pith-number/SVHAEYL74Z2G5XSIHDAOCUCLMC/graph.json","fetch_events":"https://pith.science/api/pith-number/SVHAEYL74Z2G5XSIHDAOCUCLMC/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/SVHAEYL74Z2G5XSIHDAOCUCLMC/action/timestamp_anchor","attest_storage":"https://pith.science/pith/SVHAEYL74Z2G5XSIHDAOCUCLMC/action/storage_attestation","attest_author":"https://pith.science/pith/SVHAEYL74Z2G5XSIHDAOCUCLMC/action/author_attestation","sign_citation":"https://pith.science/pith/SVHAEYL74Z2G5XSIHDAOCUCLMC/action/citation_signature","submit_replication":"https://pith.science/pith/SVHAEYL74Z2G5XSIHDAOCUCLMC/action/replication_record"}},"created_at":"2026-05-18T04:05:25.807032+00:00","updated_at":"2026-05-18T04:05:25.807032+00:00"}