{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:EXEWQRLJYAOUDD6QH6ED34MHMN","short_pith_number":"pith:EXEWQRLJ","schema_version":"1.0","canonical_sha256":"25c9684569c01d418fd03f883df187634134d3cd8c73a783393563e5896a32e6","source":{"kind":"arxiv","id":"1606.02604","version":2},"attestation_state":"computed","paper":{"title":"On a geometric framework for Lagrangian supermechanics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math.DG","math.MP","math.QA"],"primary_cat":"math-ph","authors_text":"Andrew James Bruce, Giovanni Moreno, Katarzyna Grabowska","submitted_at":"2016-06-08T15:26:31Z","abstract_excerpt":"We re-examine classical mechanics with both commuting and anticommuting degrees of freedom. We do this by defining the phase dynamics of a general Lagrangian system as an implicit differential equation in the spirit of Tulczyjew. Rather than parametrising our basic degrees of freedom by a specified Grassmann algebra, we use arbitrary supermanifolds by following the categorical approach to supermanifolds."},"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":"1606.02604","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2016-06-08T15:26:31Z","cross_cats_sorted":["hep-th","math.DG","math.MP","math.QA"],"title_canon_sha256":"aa918698dcb909a01269e994cfa237f5fa6277e80ff4910fa24fd70d19f4e658","abstract_canon_sha256":"f41cd5004e4de2feeae5ad3222c993522232af9d626e7c171293b69b3c02f083"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:17:35.803182Z","signature_b64":"bezjlRn4BIFw1LYYXO9+jKEMw8C+G1dv/JxjjVZV7UI3EIA0N/gRBU8/IjKErP3/VsUJnCnwDFttXRhyHGRqBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"25c9684569c01d418fd03f883df187634134d3cd8c73a783393563e5896a32e6","last_reissued_at":"2026-05-18T00:17:35.802657Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:17:35.802657Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On a geometric framework for Lagrangian supermechanics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math.DG","math.MP","math.QA"],"primary_cat":"math-ph","authors_text":"Andrew James Bruce, Giovanni Moreno, Katarzyna Grabowska","submitted_at":"2016-06-08T15:26:31Z","abstract_excerpt":"We re-examine classical mechanics with both commuting and anticommuting degrees of freedom. We do this by defining the phase dynamics of a general Lagrangian system as an implicit differential equation in the spirit of Tulczyjew. Rather than parametrising our basic degrees of freedom by a specified Grassmann algebra, we use arbitrary supermanifolds by following the categorical approach to supermanifolds."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.02604","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":"1606.02604","created_at":"2026-05-18T00:17:35.802749+00:00"},{"alias_kind":"arxiv_version","alias_value":"1606.02604v2","created_at":"2026-05-18T00:17:35.802749+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1606.02604","created_at":"2026-05-18T00:17:35.802749+00:00"},{"alias_kind":"pith_short_12","alias_value":"EXEWQRLJYAOU","created_at":"2026-05-18T12:30:15.759754+00:00"},{"alias_kind":"pith_short_16","alias_value":"EXEWQRLJYAOUDD6Q","created_at":"2026-05-18T12:30:15.759754+00:00"},{"alias_kind":"pith_short_8","alias_value":"EXEWQRLJ","created_at":"2026-05-18T12:30:15.759754+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/EXEWQRLJYAOUDD6QH6ED34MHMN","json":"https://pith.science/pith/EXEWQRLJYAOUDD6QH6ED34MHMN.json","graph_json":"https://pith.science/api/pith-number/EXEWQRLJYAOUDD6QH6ED34MHMN/graph.json","events_json":"https://pith.science/api/pith-number/EXEWQRLJYAOUDD6QH6ED34MHMN/events.json","paper":"https://pith.science/paper/EXEWQRLJ"},"agent_actions":{"view_html":"https://pith.science/pith/EXEWQRLJYAOUDD6QH6ED34MHMN","download_json":"https://pith.science/pith/EXEWQRLJYAOUDD6QH6ED34MHMN.json","view_paper":"https://pith.science/paper/EXEWQRLJ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1606.02604&json=true","fetch_graph":"https://pith.science/api/pith-number/EXEWQRLJYAOUDD6QH6ED34MHMN/graph.json","fetch_events":"https://pith.science/api/pith-number/EXEWQRLJYAOUDD6QH6ED34MHMN/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/EXEWQRLJYAOUDD6QH6ED34MHMN/action/timestamp_anchor","attest_storage":"https://pith.science/pith/EXEWQRLJYAOUDD6QH6ED34MHMN/action/storage_attestation","attest_author":"https://pith.science/pith/EXEWQRLJYAOUDD6QH6ED34MHMN/action/author_attestation","sign_citation":"https://pith.science/pith/EXEWQRLJYAOUDD6QH6ED34MHMN/action/citation_signature","submit_replication":"https://pith.science/pith/EXEWQRLJYAOUDD6QH6ED34MHMN/action/replication_record"}},"created_at":"2026-05-18T00:17:35.802749+00:00","updated_at":"2026-05-18T00:17:35.802749+00:00"}