{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:7RA6LNV2OZS2GXHCJPKR4CZVYW","short_pith_number":"pith:7RA6LNV2","schema_version":"1.0","canonical_sha256":"fc41e5b6ba7665a35ce24bd51e0b35c59cca9627060b86b5445531ec7ca64d9a","source":{"kind":"arxiv","id":"1409.0673","version":2},"attestation_state":"computed","paper":{"title":"Construction of Darboux coordinates in noncanonical Hamiltonian systems via normal form expansions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","quant-ph"],"primary_cat":"nlin.CD","authors_text":"Andrej Junginger, G\\\"unter Wunner, J\\\"org Main","submitted_at":"2014-09-02T11:44:21Z","abstract_excerpt":"Darboux's theorem guarantees the existence of local canonical coordinates on symplectic manifolds under certain conditions. We demonstrate a general method to construct such Darboux coordinates in the vicinity of a fixed point of a noncanonical Hamiltonian system via normal form expansions. The procedure serves as a tool to naturally extract canonical coordinates and at the same time to transform the Hamiltonian into its Poincare-Birkhoff normal form. The method is general in the sense that it is applicable for arbitrary degrees of freedom, in arbitrary orders of the local expansion, and it is"},"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":"1409.0673","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2014-09-02T11:44:21Z","cross_cats_sorted":["math-ph","math.MP","quant-ph"],"title_canon_sha256":"d5fe9dc938ef63c39ab519c18a1b1935cc46cf7dff3d048e3c31df78fe299f52","abstract_canon_sha256":"3744cf8cb1c448af772ae75a5674a33e1235cb74283e0221dcb323d166f375a7"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:51:28.769853Z","signature_b64":"s/UCf8zSM5Z8FohAZDWu4MieuCq0BfmoEGwIkKiAYrAKLGVzpHedLuk5w5DJf1bV47uNAMNXOwxZ6h6G+i3ZAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fc41e5b6ba7665a35ce24bd51e0b35c59cca9627060b86b5445531ec7ca64d9a","last_reissued_at":"2026-05-18T00:51:28.769236Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:51:28.769236Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Construction of Darboux coordinates in noncanonical Hamiltonian systems via normal form expansions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","quant-ph"],"primary_cat":"nlin.CD","authors_text":"Andrej Junginger, G\\\"unter Wunner, J\\\"org Main","submitted_at":"2014-09-02T11:44:21Z","abstract_excerpt":"Darboux's theorem guarantees the existence of local canonical coordinates on symplectic manifolds under certain conditions. We demonstrate a general method to construct such Darboux coordinates in the vicinity of a fixed point of a noncanonical Hamiltonian system via normal form expansions. The procedure serves as a tool to naturally extract canonical coordinates and at the same time to transform the Hamiltonian into its Poincare-Birkhoff normal form. The method is general in the sense that it is applicable for arbitrary degrees of freedom, in arbitrary orders of the local expansion, and it is"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.0673","kind":"arxiv","version":2},"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":"1409.0673","created_at":"2026-05-18T00:51:28.769332+00:00"},{"alias_kind":"arxiv_version","alias_value":"1409.0673v2","created_at":"2026-05-18T00:51:28.769332+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.0673","created_at":"2026-05-18T00:51:28.769332+00:00"},{"alias_kind":"pith_short_12","alias_value":"7RA6LNV2OZS2","created_at":"2026-05-18T12:28:19.803747+00:00"},{"alias_kind":"pith_short_16","alias_value":"7RA6LNV2OZS2GXHC","created_at":"2026-05-18T12:28:19.803747+00:00"},{"alias_kind":"pith_short_8","alias_value":"7RA6LNV2","created_at":"2026-05-18T12:28:19.803747+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/7RA6LNV2OZS2GXHCJPKR4CZVYW","json":"https://pith.science/pith/7RA6LNV2OZS2GXHCJPKR4CZVYW.json","graph_json":"https://pith.science/api/pith-number/7RA6LNV2OZS2GXHCJPKR4CZVYW/graph.json","events_json":"https://pith.science/api/pith-number/7RA6LNV2OZS2GXHCJPKR4CZVYW/events.json","paper":"https://pith.science/paper/7RA6LNV2"},"agent_actions":{"view_html":"https://pith.science/pith/7RA6LNV2OZS2GXHCJPKR4CZVYW","download_json":"https://pith.science/pith/7RA6LNV2OZS2GXHCJPKR4CZVYW.json","view_paper":"https://pith.science/paper/7RA6LNV2","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1409.0673&json=true","fetch_graph":"https://pith.science/api/pith-number/7RA6LNV2OZS2GXHCJPKR4CZVYW/graph.json","fetch_events":"https://pith.science/api/pith-number/7RA6LNV2OZS2GXHCJPKR4CZVYW/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/7RA6LNV2OZS2GXHCJPKR4CZVYW/action/timestamp_anchor","attest_storage":"https://pith.science/pith/7RA6LNV2OZS2GXHCJPKR4CZVYW/action/storage_attestation","attest_author":"https://pith.science/pith/7RA6LNV2OZS2GXHCJPKR4CZVYW/action/author_attestation","sign_citation":"https://pith.science/pith/7RA6LNV2OZS2GXHCJPKR4CZVYW/action/citation_signature","submit_replication":"https://pith.science/pith/7RA6LNV2OZS2GXHCJPKR4CZVYW/action/replication_record"}},"created_at":"2026-05-18T00:51:28.769332+00:00","updated_at":"2026-05-18T00:51:28.769332+00:00"}