{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:A6RN6BXMNMZM377LNNPX34KXTH","short_pith_number":"pith:A6RN6BXM","schema_version":"1.0","canonical_sha256":"07a2df06ec6b32cdffeb6b5f7df15799d3cefee103efb6d7f8658236ba95e749","source":{"kind":"arxiv","id":"1506.02210","version":2},"attestation_state":"computed","paper":{"title":"The Theorem of Ostrogradsky","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"R. P. Woodard (University of Florida)","submitted_at":"2015-06-07T02:19:42Z","abstract_excerpt":"Ostrogradsky's construction of a Hamiltonian formalism for nondegenerate higher derivative Lagrangians is reviewed. The resulting instability imposes by far the most powerful restriction on fundamental, interacting, continuum Lagrangian field theories. A discussion is given of the problems raised by attempts to evade this restriction."},"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":"1506.02210","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-06-07T02:19:42Z","cross_cats_sorted":[],"title_canon_sha256":"13a7fda12889b612ef0a287e47c07f78822b6b9c7f3187159a464cb4b6714be0","abstract_canon_sha256":"86f47d09318a9c284c16c263a0531d83cdfd9a9bfd7511772f4936e99f826a93"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:35:34.690165Z","signature_b64":"nvo5cTq8REtzdG8bIClxCeh6dtXmAl0lgq6jd4KIpBqVsMf17D86ao4Cr9Tt/p8/FXIeDuBq6EAEqxwa1C1WAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"07a2df06ec6b32cdffeb6b5f7df15799d3cefee103efb6d7f8658236ba95e749","last_reissued_at":"2026-05-18T01:35:34.689509Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:35:34.689509Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The Theorem of Ostrogradsky","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"R. P. Woodard (University of Florida)","submitted_at":"2015-06-07T02:19:42Z","abstract_excerpt":"Ostrogradsky's construction of a Hamiltonian formalism for nondegenerate higher derivative Lagrangians is reviewed. The resulting instability imposes by far the most powerful restriction on fundamental, interacting, continuum Lagrangian field theories. A discussion is given of the problems raised by attempts to evade this restriction."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.02210","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":"1506.02210","created_at":"2026-05-18T01:35:34.689618+00:00"},{"alias_kind":"arxiv_version","alias_value":"1506.02210v2","created_at":"2026-05-18T01:35:34.689618+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.02210","created_at":"2026-05-18T01:35:34.689618+00:00"},{"alias_kind":"pith_short_12","alias_value":"A6RN6BXMNMZM","created_at":"2026-05-18T12:29:10.953037+00:00"},{"alias_kind":"pith_short_16","alias_value":"A6RN6BXMNMZM377L","created_at":"2026-05-18T12:29:10.953037+00:00"},{"alias_kind":"pith_short_8","alias_value":"A6RN6BXM","created_at":"2026-05-18T12:29:10.953037+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":21,"internal_anchor_count":12,"sample":[{"citing_arxiv_id":"1907.06766","citing_title":"The Diffeomorphism Field","ref_index":67,"is_internal_anchor":true},{"citing_arxiv_id":"2411.01105","citing_title":"UV Effects and Short-Lived Hawking Radiation: Alternative Resolution of Information Paradox","ref_index":171,"is_internal_anchor":true},{"citing_arxiv_id":"2605.18965","citing_title":"Affine ANEC selects the closed FRW branch for geodesically complete cosmology","ref_index":63,"is_internal_anchor":true},{"citing_arxiv_id":"2605.20094","citing_title":"Introduction to Higher Order Classical Dynamics: Pais-Uhlenbeck Model and Coupled Oscillators","ref_index":36,"is_internal_anchor":true},{"citing_arxiv_id":"2605.16869","citing_title":"Gauge-invariant cosmological perturbations in Type 3 New General Relativity and background-hierarchy bounds","ref_index":66,"is_internal_anchor":true},{"citing_arxiv_id":"2605.08642","citing_title":"Polydoxon Transformations and Scientific Reward in Physics","ref_index":64,"is_internal_anchor":true},{"citing_arxiv_id":"2510.23838","citing_title":"Imperfect dark matter with higher derivatives","ref_index":34,"is_internal_anchor":true},{"citing_arxiv_id":"2512.08972","citing_title":"Degenerate higher-order scalar-tensor theories in metric-affine gravity","ref_index":25,"is_internal_anchor":true},{"citing_arxiv_id":"2512.22728","citing_title":"Probing higher curvature gravity via ringdown with overtones","ref_index":59,"is_internal_anchor":true},{"citing_arxiv_id":"2601.17115","citing_title":"Effective geometrodynamics for renormalization-group improved black-hole spacetimes in spherical symmetry","ref_index":24,"is_internal_anchor":true},{"citing_arxiv_id":"2602.02608","citing_title":"Non-Singular Bouncing cosmology from Phantom Scalar-Gauss-Bonnet Coupling: Reconstruction with Observational Insights","ref_index":34,"is_internal_anchor":true},{"citing_arxiv_id":"2603.23564","citing_title":"Energy conditions of bouncing solutions in quadratic curvature gravity coupled with a scalar field","ref_index":52,"is_internal_anchor":true},{"citing_arxiv_id":"2604.27568","citing_title":"Gravitational wave constraints on the Paneitz operator","ref_index":62,"is_internal_anchor":false},{"citing_arxiv_id":"2605.08642","citing_title":"Polydoxon Transformations and Scientific Reward in Physics","ref_index":64,"is_internal_anchor":false},{"citing_arxiv_id":"2604.22725","citing_title":"Gauge-independent approach to inflation in quadratic gravity","ref_index":24,"is_internal_anchor":false},{"citing_arxiv_id":"2604.21826","citing_title":"Quantum mechanics with a ghost: Counterexamples to spectral denseness","ref_index":1,"is_internal_anchor":false},{"citing_arxiv_id":"2604.21823","citing_title":"Unitary Time Evolution and Vacuum for a Quantum Stable Ghost","ref_index":5,"is_internal_anchor":false},{"citing_arxiv_id":"2604.07449","citing_title":"Quantum Fluctuations and Newton-Cartan Geometry for Non-Relativistic de Sitter space","ref_index":41,"is_internal_anchor":false},{"citing_arxiv_id":"2604.09350","citing_title":"Gravitational Memory from Hairy Binary Black Hole Mergers","ref_index":80,"is_internal_anchor":false},{"citing_arxiv_id":"2604.08653","citing_title":"Love numbers of black holes and compact objects","ref_index":265,"is_internal_anchor":false},{"citing_arxiv_id":"2604.16531","citing_title":"AI--Assisted Exploration: DHOST Theories without Quantum Ghosts","ref_index":3,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/A6RN6BXMNMZM377LNNPX34KXTH","json":"https://pith.science/pith/A6RN6BXMNMZM377LNNPX34KXTH.json","graph_json":"https://pith.science/api/pith-number/A6RN6BXMNMZM377LNNPX34KXTH/graph.json","events_json":"https://pith.science/api/pith-number/A6RN6BXMNMZM377LNNPX34KXTH/events.json","paper":"https://pith.science/paper/A6RN6BXM"},"agent_actions":{"view_html":"https://pith.science/pith/A6RN6BXMNMZM377LNNPX34KXTH","download_json":"https://pith.science/pith/A6RN6BXMNMZM377LNNPX34KXTH.json","view_paper":"https://pith.science/paper/A6RN6BXM","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1506.02210&json=true","fetch_graph":"https://pith.science/api/pith-number/A6RN6BXMNMZM377LNNPX34KXTH/graph.json","fetch_events":"https://pith.science/api/pith-number/A6RN6BXMNMZM377LNNPX34KXTH/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/A6RN6BXMNMZM377LNNPX34KXTH/action/timestamp_anchor","attest_storage":"https://pith.science/pith/A6RN6BXMNMZM377LNNPX34KXTH/action/storage_attestation","attest_author":"https://pith.science/pith/A6RN6BXMNMZM377LNNPX34KXTH/action/author_attestation","sign_citation":"https://pith.science/pith/A6RN6BXMNMZM377LNNPX34KXTH/action/citation_signature","submit_replication":"https://pith.science/pith/A6RN6BXMNMZM377LNNPX34KXTH/action/replication_record"}},"created_at":"2026-05-18T01:35:34.689618+00:00","updated_at":"2026-05-18T01:35:34.689618+00:00"}