{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:5YDONA4RM3RSI3WIVDGYTXDDFM","short_pith_number":"pith:5YDONA4R","schema_version":"1.0","canonical_sha256":"ee06e6839166e3246ec8a8cd89dc632b09298c9c4b03f43447c4bad851766ce1","source":{"kind":"arxiv","id":"2607.07726","version":1},"attestation_state":"computed","paper":{"title":"Phase-space structure and nonlinear dynamics of a charged particle on a helicoidal manifold under a magnetic field","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"physics.class-ph","authors_text":"Abdullah Guvendi, Hassan Hassanabadi, Omar Mustafa, Semra Gurtas Dogan","submitted_at":"2026-07-05T14:37:48Z","abstract_excerpt":"We analyze the classical dynamics of a charged particle constrained to a helicoidally embedded Riemannian manifold in $\\mathbb{R}^3$ under a uniform magnetic field in the ambient space. The induced metric $ds^2=du^2+(1+w^2u^2)dv^2$ and the pulled-back symmetric gauge yield an exact reduction to a one-dimensional nonlinear Hamiltonian system. The resulting effective potential couples geometry and magnetic field, producing transitions between bounded and unbounded motion and a reorganization of phase-space topology. In the asymptotic regime, the dynamics reduces to a harmonic oscillator with $\\o"},"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":"2607.07726","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.class-ph","submitted_at":"2026-07-05T14:37:48Z","cross_cats_sorted":[],"title_canon_sha256":"25949742595ae3a1a805e56992481a54ccd22871f68027ad02832a5a49718b28","abstract_canon_sha256":"f4f1841eb2f9fe433e49ace71671efa39aa676db7cb369f5e131be6f5f0fab25"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-10T00:18:47.332703Z","signature_b64":"nxp5fD1xXUO71H1gieZGPNYuFVuvas9xkIWFR+BiqlaqqYf9NJ2tRFyQbHjJvL6YBZ7ekAkm63VxZGBePHdVBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ee06e6839166e3246ec8a8cd89dc632b09298c9c4b03f43447c4bad851766ce1","last_reissued_at":"2026-07-10T00:18:47.332259Z","signature_status":"signed_v1","first_computed_at":"2026-07-10T00:18:47.332259Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Phase-space structure and nonlinear dynamics of a charged particle on a helicoidal manifold under a magnetic field","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"physics.class-ph","authors_text":"Abdullah Guvendi, Hassan Hassanabadi, Omar Mustafa, Semra Gurtas Dogan","submitted_at":"2026-07-05T14:37:48Z","abstract_excerpt":"We analyze the classical dynamics of a charged particle constrained to a helicoidally embedded Riemannian manifold in $\\mathbb{R}^3$ under a uniform magnetic field in the ambient space. The induced metric $ds^2=du^2+(1+w^2u^2)dv^2$ and the pulled-back symmetric gauge yield an exact reduction to a one-dimensional nonlinear Hamiltonian system. The resulting effective potential couples geometry and magnetic field, producing transitions between bounded and unbounded motion and a reorganization of phase-space topology. In the asymptotic regime, the dynamics reduces to a harmonic oscillator with $\\o"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.07726","kind":"arxiv","version":1},"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/2607.07726/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":"2607.07726","created_at":"2026-07-10T00:18:47.332327+00:00"},{"alias_kind":"arxiv_version","alias_value":"2607.07726v1","created_at":"2026-07-10T00:18:47.332327+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.07726","created_at":"2026-07-10T00:18:47.332327+00:00"},{"alias_kind":"pith_short_12","alias_value":"5YDONA4RM3RS","created_at":"2026-07-10T00:18:47.332327+00:00"},{"alias_kind":"pith_short_16","alias_value":"5YDONA4RM3RSI3WI","created_at":"2026-07-10T00:18:47.332327+00:00"},{"alias_kind":"pith_short_8","alias_value":"5YDONA4R","created_at":"2026-07-10T00:18:47.332327+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/5YDONA4RM3RSI3WIVDGYTXDDFM","json":"https://pith.science/pith/5YDONA4RM3RSI3WIVDGYTXDDFM.json","graph_json":"https://pith.science/api/pith-number/5YDONA4RM3RSI3WIVDGYTXDDFM/graph.json","events_json":"https://pith.science/api/pith-number/5YDONA4RM3RSI3WIVDGYTXDDFM/events.json","paper":"https://pith.science/paper/5YDONA4R"},"agent_actions":{"view_html":"https://pith.science/pith/5YDONA4RM3RSI3WIVDGYTXDDFM","download_json":"https://pith.science/pith/5YDONA4RM3RSI3WIVDGYTXDDFM.json","view_paper":"https://pith.science/paper/5YDONA4R","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2607.07726&json=true","fetch_graph":"https://pith.science/api/pith-number/5YDONA4RM3RSI3WIVDGYTXDDFM/graph.json","fetch_events":"https://pith.science/api/pith-number/5YDONA4RM3RSI3WIVDGYTXDDFM/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/5YDONA4RM3RSI3WIVDGYTXDDFM/action/timestamp_anchor","attest_storage":"https://pith.science/pith/5YDONA4RM3RSI3WIVDGYTXDDFM/action/storage_attestation","attest_author":"https://pith.science/pith/5YDONA4RM3RSI3WIVDGYTXDDFM/action/author_attestation","sign_citation":"https://pith.science/pith/5YDONA4RM3RSI3WIVDGYTXDDFM/action/citation_signature","submit_replication":"https://pith.science/pith/5YDONA4RM3RSI3WIVDGYTXDDFM/action/replication_record"}},"created_at":"2026-07-10T00:18:47.332327+00:00","updated_at":"2026-07-10T00:18:47.332327+00:00"}