{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:CR4QLI5H2UVR7E3PR6R6EFPCB5","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":"822fd95b6d7f6f6468ba0a2ed37e4f1553f40b10e4f33c62d148d9a4bbe20f15","cross_cats_sorted":["cond-mat.other","gr-qc"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2024-01-23T18:32:15Z","title_canon_sha256":"8574cb9c1229569a67aab89994325bf21264ae09b54bd2dcd40de9abbf797110"},"schema_version":"1.0","source":{"id":"2401.12957","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2401.12957","created_at":"2026-07-05T07:36:46Z"},{"alias_kind":"arxiv_version","alias_value":"2401.12957v1","created_at":"2026-07-05T07:36:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2401.12957","created_at":"2026-07-05T07:36:46Z"},{"alias_kind":"pith_short_12","alias_value":"CR4QLI5H2UVR","created_at":"2026-07-05T07:36:46Z"},{"alias_kind":"pith_short_16","alias_value":"CR4QLI5H2UVR7E3P","created_at":"2026-07-05T07:36:46Z"},{"alias_kind":"pith_short_8","alias_value":"CR4QLI5H","created_at":"2026-07-05T07:36:46Z"}],"graph_snapshots":[{"event_id":"sha256:b3d3c87be23a60ad6ea4f40e2ce2deffa0253056f25db776565c3099419db564","target":"graph","created_at":"2026-07-05T07:36:46Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2401.12957/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Motivated by the symmetry in the non-relativistic limit of anti-de Sitter geometry, we employ planar dynamical models featuring exotic (deformed) harmonic oscillators, presented through direct and indirect Lagrangian representations. The latter introduces Bateman dissipative oscillator system. Analyzing these dynamic systems with a first-order Lagrangian scheme, our phase-space-based approach utilizes the moment map components to reveal the underlying symmetry algebra. This obtained algebra, interpreted as an extended version of Newton-Hooke (NH) cosmological symmetry algebras, has the potenti","authors_text":"Partha Nandi, Sayan Kumar Pal","cross_cats":["cond-mat.other","gr-qc"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2024-01-23T18:32:15Z","title":"Symmetry Duality: Exploring Exotic Oscillators And Dissipative Dynamics Through The Glass Of Newton-Hooke"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2401.12957","kind":"arxiv","version":1},"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":"sha256:7e4f7253845b2a6528c3c82ebeb7f60a275e58256c4cdccd24332a4da0c95c6d","target":"record","created_at":"2026-07-05T07:36:46Z","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":"822fd95b6d7f6f6468ba0a2ed37e4f1553f40b10e4f33c62d148d9a4bbe20f15","cross_cats_sorted":["cond-mat.other","gr-qc"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2024-01-23T18:32:15Z","title_canon_sha256":"8574cb9c1229569a67aab89994325bf21264ae09b54bd2dcd40de9abbf797110"},"schema_version":"1.0","source":{"id":"2401.12957","kind":"arxiv","version":1}},"canonical_sha256":"147905a3a7d52b1f936f8fa3e215e20f70cac1821805e0895f14a6e6bd54bdf3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"147905a3a7d52b1f936f8fa3e215e20f70cac1821805e0895f14a6e6bd54bdf3","first_computed_at":"2026-07-05T07:36:46.319304Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T07:36:46.319304Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"kpMLxp/dYMIeKWzpKzPvThRf27YmTAMk4Fa3bfG3DnbjTEyHtzaSubXtJm+gOeaszuy8AkuNQ5wt9aBFUGueCg==","signature_status":"signed_v1","signed_at":"2026-07-05T07:36:46.319789Z","signed_message":"canonical_sha256_bytes"},"source_id":"2401.12957","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7e4f7253845b2a6528c3c82ebeb7f60a275e58256c4cdccd24332a4da0c95c6d","sha256:b3d3c87be23a60ad6ea4f40e2ce2deffa0253056f25db776565c3099419db564"],"state_sha256":"b022cb5fc66ee4b3537b98a46a340033c4760ea374120e55276ff4a9ffb88e5a"}