{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:FUWVLG63P3JEGAHXBJO2OTBYDI","short_pith_number":"pith:FUWVLG63","schema_version":"1.0","canonical_sha256":"2d2d559bdb7ed24300f70a5da74c381a1ad8ba04c48e99b2e7473e372a7ac6f5","source":{"kind":"arxiv","id":"1407.8481","version":2},"attestation_state":"computed","paper":{"title":"Classical and quantum stability of higher-derivative dynamics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"A.A. Sharapov, D.S. Kaparulin, S.L. Lyakhovich","submitted_at":"2014-07-31T16:26:34Z","abstract_excerpt":"We observe that a wide class of higher-derivative systems admits a bounded integral of motion that ensures the classical stability of dynamics, while the canonical energy is unbounded. We use the concept of a Lagrange anchor to demonstrate that the bounded integral of motion is connected with the time-translation invariance. A procedure is suggested for switching on interactions in free higher-derivative systems without breaking their stability. We also demonstrate the quantization technique that keeps the higher-derivative dynamics stable at quantum level. The general construction is illustra"},"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":"1407.8481","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-07-31T16:26:34Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"758c339be12354428130621a97769bebf6067f75b1bc3c9ad2067a5cb587902e","abstract_canon_sha256":"3e76cfd96d85e187e395d38fca509b52f57b4506f05e114dfa6933f3d17c4586"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:42:26.674429Z","signature_b64":"7q8velAY7OCpL1mB7ImJqKAPNeYpJn0pvhD7SCY8CbJUp4ZRRBYG2s7acyiExi2rWZJk+mhwgciWZxGUgnCSBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2d2d559bdb7ed24300f70a5da74c381a1ad8ba04c48e99b2e7473e372a7ac6f5","last_reissued_at":"2026-05-18T01:42:26.673662Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:42:26.673662Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Classical and quantum stability of higher-derivative dynamics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"A.A. Sharapov, D.S. Kaparulin, S.L. Lyakhovich","submitted_at":"2014-07-31T16:26:34Z","abstract_excerpt":"We observe that a wide class of higher-derivative systems admits a bounded integral of motion that ensures the classical stability of dynamics, while the canonical energy is unbounded. We use the concept of a Lagrange anchor to demonstrate that the bounded integral of motion is connected with the time-translation invariance. A procedure is suggested for switching on interactions in free higher-derivative systems without breaking their stability. We also demonstrate the quantization technique that keeps the higher-derivative dynamics stable at quantum level. The general construction is illustra"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.8481","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":"1407.8481","created_at":"2026-05-18T01:42:26.673773+00:00"},{"alias_kind":"arxiv_version","alias_value":"1407.8481v2","created_at":"2026-05-18T01:42:26.673773+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1407.8481","created_at":"2026-05-18T01:42:26.673773+00:00"},{"alias_kind":"pith_short_12","alias_value":"FUWVLG63P3JE","created_at":"2026-05-18T12:28:28.263976+00:00"},{"alias_kind":"pith_short_16","alias_value":"FUWVLG63P3JEGAHX","created_at":"2026-05-18T12:28:28.263976+00:00"},{"alias_kind":"pith_short_8","alias_value":"FUWVLG63","created_at":"2026-05-18T12:28:28.263976+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":2,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2604.21826","citing_title":"Quantum mechanics with a ghost: Counterexamples to spectral denseness","ref_index":32,"is_internal_anchor":false},{"citing_arxiv_id":"2604.21823","citing_title":"Unitary Time Evolution and Vacuum for a Quantum Stable Ghost","ref_index":18,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/FUWVLG63P3JEGAHXBJO2OTBYDI","json":"https://pith.science/pith/FUWVLG63P3JEGAHXBJO2OTBYDI.json","graph_json":"https://pith.science/api/pith-number/FUWVLG63P3JEGAHXBJO2OTBYDI/graph.json","events_json":"https://pith.science/api/pith-number/FUWVLG63P3JEGAHXBJO2OTBYDI/events.json","paper":"https://pith.science/paper/FUWVLG63"},"agent_actions":{"view_html":"https://pith.science/pith/FUWVLG63P3JEGAHXBJO2OTBYDI","download_json":"https://pith.science/pith/FUWVLG63P3JEGAHXBJO2OTBYDI.json","view_paper":"https://pith.science/paper/FUWVLG63","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1407.8481&json=true","fetch_graph":"https://pith.science/api/pith-number/FUWVLG63P3JEGAHXBJO2OTBYDI/graph.json","fetch_events":"https://pith.science/api/pith-number/FUWVLG63P3JEGAHXBJO2OTBYDI/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/FUWVLG63P3JEGAHXBJO2OTBYDI/action/timestamp_anchor","attest_storage":"https://pith.science/pith/FUWVLG63P3JEGAHXBJO2OTBYDI/action/storage_attestation","attest_author":"https://pith.science/pith/FUWVLG63P3JEGAHXBJO2OTBYDI/action/author_attestation","sign_citation":"https://pith.science/pith/FUWVLG63P3JEGAHXBJO2OTBYDI/action/citation_signature","submit_replication":"https://pith.science/pith/FUWVLG63P3JEGAHXBJO2OTBYDI/action/replication_record"}},"created_at":"2026-05-18T01:42:26.673773+00:00","updated_at":"2026-05-18T01:42:26.673773+00:00"}