{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:KIZ6PYIMA7XBQICL67D74UMFS3","short_pith_number":"pith:KIZ6PYIM","schema_version":"1.0","canonical_sha256":"5233e7e10c07ee18204bf7c7fe518596ec57f8be5ae3ad49217522fea2241563","source":{"kind":"arxiv","id":"2505.07869","version":2},"attestation_state":"computed","paper":{"title":"Lie symmetries and ghost-free representations of the Pais-Uhlenbeck model","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math.MP","quant-ph"],"primary_cat":"math-ph","authors_text":"Alexander Felski, Andreas Fring, Bethan Turner","submitted_at":"2025-05-09T15:16:40Z","abstract_excerpt":"We investigate the Pais-Uhlenbeck (PU) model, a paradigmatic example of a higher time-derivative theory, by identifying the Lie symmetries of its associated fourth-order dynamical equation. Exploiting these symmetries in conjunction with the model's Bi-Hamiltonian structure, we construct distinct Poisson bracket formulations that preserve the system's dynamics. Amongst other possibilities, this allow us to recast the PU model in a positive definite manner, offering a solution to the long-standing problem of ghost instabilities. Furthermore, we systematically explore a family of transformations"},"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":"2505.07869","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math-ph","submitted_at":"2025-05-09T15:16:40Z","cross_cats_sorted":["math.MP","quant-ph"],"title_canon_sha256":"44fdf0b7ae841f52fd96ccc6441cc9ea8367ef144764d517de3505f5a4f06bfd","abstract_canon_sha256":"d4bce06a6a1131c2fda6b07bc25a2e5607c92073a3014e7f705f5e78c2ff1ca6"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-28T02:04:40.660167Z","signature_b64":"P5nT1qq1Fpbe0zx4E+rXsSVEc70uA/vsFeZTd5KwHEqUk/3Ceon+62JLQAIiLsqHc7WdcQIvk0k6yT0NQnzyDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5233e7e10c07ee18204bf7c7fe518596ec57f8be5ae3ad49217522fea2241563","last_reissued_at":"2026-05-28T02:04:40.659621Z","signature_status":"signed_v1","first_computed_at":"2026-05-28T02:04:40.659621Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Lie symmetries and ghost-free representations of the Pais-Uhlenbeck model","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math.MP","quant-ph"],"primary_cat":"math-ph","authors_text":"Alexander Felski, Andreas Fring, Bethan Turner","submitted_at":"2025-05-09T15:16:40Z","abstract_excerpt":"We investigate the Pais-Uhlenbeck (PU) model, a paradigmatic example of a higher time-derivative theory, by identifying the Lie symmetries of its associated fourth-order dynamical equation. Exploiting these symmetries in conjunction with the model's Bi-Hamiltonian structure, we construct distinct Poisson bracket formulations that preserve the system's dynamics. Amongst other possibilities, this allow us to recast the PU model in a positive definite manner, offering a solution to the long-standing problem of ghost instabilities. Furthermore, we systematically explore a family of transformations"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2505.07869","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2505.07869/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2505.07869","created_at":"2026-05-28T02:04:40.659691+00:00"},{"alias_kind":"arxiv_version","alias_value":"2505.07869v2","created_at":"2026-05-28T02:04:40.659691+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2505.07869","created_at":"2026-05-28T02:04:40.659691+00:00"},{"alias_kind":"pith_short_12","alias_value":"KIZ6PYIMA7XB","created_at":"2026-05-28T02:04:40.659691+00:00"},{"alias_kind":"pith_short_16","alias_value":"KIZ6PYIMA7XBQICL","created_at":"2026-05-28T02:04:40.659691+00:00"},{"alias_kind":"pith_short_8","alias_value":"KIZ6PYIM","created_at":"2026-05-28T02:04:40.659691+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/KIZ6PYIMA7XBQICL67D74UMFS3","json":"https://pith.science/pith/KIZ6PYIMA7XBQICL67D74UMFS3.json","graph_json":"https://pith.science/api/pith-number/KIZ6PYIMA7XBQICL67D74UMFS3/graph.json","events_json":"https://pith.science/api/pith-number/KIZ6PYIMA7XBQICL67D74UMFS3/events.json","paper":"https://pith.science/paper/KIZ6PYIM"},"agent_actions":{"view_html":"https://pith.science/pith/KIZ6PYIMA7XBQICL67D74UMFS3","download_json":"https://pith.science/pith/KIZ6PYIMA7XBQICL67D74UMFS3.json","view_paper":"https://pith.science/paper/KIZ6PYIM","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2505.07869&json=true","fetch_graph":"https://pith.science/api/pith-number/KIZ6PYIMA7XBQICL67D74UMFS3/graph.json","fetch_events":"https://pith.science/api/pith-number/KIZ6PYIMA7XBQICL67D74UMFS3/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/KIZ6PYIMA7XBQICL67D74UMFS3/action/timestamp_anchor","attest_storage":"https://pith.science/pith/KIZ6PYIMA7XBQICL67D74UMFS3/action/storage_attestation","attest_author":"https://pith.science/pith/KIZ6PYIMA7XBQICL67D74UMFS3/action/author_attestation","sign_citation":"https://pith.science/pith/KIZ6PYIMA7XBQICL67D74UMFS3/action/citation_signature","submit_replication":"https://pith.science/pith/KIZ6PYIMA7XBQICL67D74UMFS3/action/replication_record"}},"created_at":"2026-05-28T02:04:40.659691+00:00","updated_at":"2026-05-28T02:04:40.659691+00:00"}