{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:F7DPYDOUEM7JEBJ4T6OKCHEBMQ","short_pith_number":"pith:F7DPYDOU","canonical_record":{"source":{"id":"1611.04294","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-11-14T09:15:46Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"054f00482d5ea04bf27b336bc652d9a10ff19a354736bb2012ae8a26fe864014","abstract_canon_sha256":"4e5db5e104adea3aa8027a20a51eb263d3f613416abf43cb40739e1d638678de"},"schema_version":"1.0"},"canonical_sha256":"2fc6fc0dd4233e92053c9f9ca11c816410d110d4f027b4cf5b76c8eac1f2f1db","source":{"kind":"arxiv","id":"1611.04294","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1611.04294","created_at":"2026-05-18T00:55:40Z"},{"alias_kind":"arxiv_version","alias_value":"1611.04294v2","created_at":"2026-05-18T00:55:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.04294","created_at":"2026-05-18T00:55:40Z"},{"alias_kind":"pith_short_12","alias_value":"F7DPYDOUEM7J","created_at":"2026-05-18T12:30:15Z"},{"alias_kind":"pith_short_16","alias_value":"F7DPYDOUEM7JEBJ4","created_at":"2026-05-18T12:30:15Z"},{"alias_kind":"pith_short_8","alias_value":"F7DPYDOU","created_at":"2026-05-18T12:30:15Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:F7DPYDOUEM7JEBJ4T6OKCHEBMQ","target":"record","payload":{"canonical_record":{"source":{"id":"1611.04294","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-11-14T09:15:46Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"054f00482d5ea04bf27b336bc652d9a10ff19a354736bb2012ae8a26fe864014","abstract_canon_sha256":"4e5db5e104adea3aa8027a20a51eb263d3f613416abf43cb40739e1d638678de"},"schema_version":"1.0"},"canonical_sha256":"2fc6fc0dd4233e92053c9f9ca11c816410d110d4f027b4cf5b76c8eac1f2f1db","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:55:40.385540Z","signature_b64":"v9TzhN3o/FTIi1HzQP4MdP7Cn7TYIh/YQfDrKJpzf+tjiSv7DzkOarbyX+aKF50mH5rJtivajdMjypIj8h4pCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2fc6fc0dd4233e92053c9f9ca11c816410d110d4f027b4cf5b76c8eac1f2f1db","last_reissued_at":"2026-05-18T00:55:40.384966Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:55:40.384966Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1611.04294","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:55:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HZGkpFvlxhEbKpCIyXRl7MaNoeQZYno3RZuD0eBkoX02H1Rq0+Lu2ywDrqbV6yGpawGF9mGmSwiGw15cSHIdBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T17:55:26.656241Z"},"content_sha256":"cd2b845c065375bfb9a401300e5373b0a9020affab5839e5462603cb83cec92e","schema_version":"1.0","event_id":"sha256:cd2b845c065375bfb9a401300e5373b0a9020affab5839e5462603cb83cec92e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:F7DPYDOUEM7JEBJ4T6OKCHEBMQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Eisenhart lift for higher derivative systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"Anton Galajinsky, Ivan Masterov","submitted_at":"2016-11-14T09:15:46Z","abstract_excerpt":"The Eisenhart lift provides an elegant geometric description of a dynamical system of second order in terms of null geodesics of the Brinkmann-type metric. In this work, we attempt to generalize the Eisenhart method so as to encompass higher derivative models. The analysis relies upon Ostrogradsky's Hamiltonian. A consistent geometric description seems feasible only for a particular class of potentials. The scheme is exemplified by the Pais-Uhlenbeck oscillator."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.04294","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:55:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"B9nGZ7v2acTyquYWKX+v0xiUl2l68/nZ/vInrSYdWnb8jy2G9uelFOfOGn9NCPMX4K+sIhDVrAMyhJ2MPzf4DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T17:55:26.656952Z"},"content_sha256":"595b44bfbddd0bf614e142ee8c21754ab62c4f3f806242909b4aee7fa1cc217c","schema_version":"1.0","event_id":"sha256:595b44bfbddd0bf614e142ee8c21754ab62c4f3f806242909b4aee7fa1cc217c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/F7DPYDOUEM7JEBJ4T6OKCHEBMQ/bundle.json","state_url":"https://pith.science/pith/F7DPYDOUEM7JEBJ4T6OKCHEBMQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/F7DPYDOUEM7JEBJ4T6OKCHEBMQ/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-26T17:55:26Z","links":{"resolver":"https://pith.science/pith/F7DPYDOUEM7JEBJ4T6OKCHEBMQ","bundle":"https://pith.science/pith/F7DPYDOUEM7JEBJ4T6OKCHEBMQ/bundle.json","state":"https://pith.science/pith/F7DPYDOUEM7JEBJ4T6OKCHEBMQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/F7DPYDOUEM7JEBJ4T6OKCHEBMQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:F7DPYDOUEM7JEBJ4T6OKCHEBMQ","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"4e5db5e104adea3aa8027a20a51eb263d3f613416abf43cb40739e1d638678de","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-11-14T09:15:46Z","title_canon_sha256":"054f00482d5ea04bf27b336bc652d9a10ff19a354736bb2012ae8a26fe864014"},"schema_version":"1.0","source":{"id":"1611.04294","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1611.04294","created_at":"2026-05-18T00:55:40Z"},{"alias_kind":"arxiv_version","alias_value":"1611.04294v2","created_at":"2026-05-18T00:55:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.04294","created_at":"2026-05-18T00:55:40Z"},{"alias_kind":"pith_short_12","alias_value":"F7DPYDOUEM7J","created_at":"2026-05-18T12:30:15Z"},{"alias_kind":"pith_short_16","alias_value":"F7DPYDOUEM7JEBJ4","created_at":"2026-05-18T12:30:15Z"},{"alias_kind":"pith_short_8","alias_value":"F7DPYDOU","created_at":"2026-05-18T12:30:15Z"}],"graph_snapshots":[{"event_id":"sha256:595b44bfbddd0bf614e142ee8c21754ab62c4f3f806242909b4aee7fa1cc217c","target":"graph","created_at":"2026-05-18T00:55:40Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"The Eisenhart lift provides an elegant geometric description of a dynamical system of second order in terms of null geodesics of the Brinkmann-type metric. In this work, we attempt to generalize the Eisenhart method so as to encompass higher derivative models. The analysis relies upon Ostrogradsky's Hamiltonian. A consistent geometric description seems feasible only for a particular class of potentials. The scheme is exemplified by the Pais-Uhlenbeck oscillator.","authors_text":"Anton Galajinsky, Ivan Masterov","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-11-14T09:15:46Z","title":"Eisenhart lift for higher derivative systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.04294","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:cd2b845c065375bfb9a401300e5373b0a9020affab5839e5462603cb83cec92e","target":"record","created_at":"2026-05-18T00:55:40Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"4e5db5e104adea3aa8027a20a51eb263d3f613416abf43cb40739e1d638678de","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-11-14T09:15:46Z","title_canon_sha256":"054f00482d5ea04bf27b336bc652d9a10ff19a354736bb2012ae8a26fe864014"},"schema_version":"1.0","source":{"id":"1611.04294","kind":"arxiv","version":2}},"canonical_sha256":"2fc6fc0dd4233e92053c9f9ca11c816410d110d4f027b4cf5b76c8eac1f2f1db","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2fc6fc0dd4233e92053c9f9ca11c816410d110d4f027b4cf5b76c8eac1f2f1db","first_computed_at":"2026-05-18T00:55:40.384966Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:55:40.384966Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"v9TzhN3o/FTIi1HzQP4MdP7Cn7TYIh/YQfDrKJpzf+tjiSv7DzkOarbyX+aKF50mH5rJtivajdMjypIj8h4pCA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:55:40.385540Z","signed_message":"canonical_sha256_bytes"},"source_id":"1611.04294","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cd2b845c065375bfb9a401300e5373b0a9020affab5839e5462603cb83cec92e","sha256:595b44bfbddd0bf614e142ee8c21754ab62c4f3f806242909b4aee7fa1cc217c"],"state_sha256":"f062f7d3be729ad4bad9afe32c4b8e06236d6fa9e90fbe109cf5abbb89bb7ee6"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NrmaTcS6Uvmyp4ioRBqlcCOL3Iod75Xh2Y5PFDizibVgWI/WAGAJFHUcTOXq203UXuu5M0j9cKKsqzsc3wQ+DQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T17:55:26.660531Z","bundle_sha256":"9b3ca977cf2b944eb3abc8ffb35cb2a154eafea0d5a7eb907917f5fdcc6740a3"}}