{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:QV3B5H2J3EHUJDFXAGN6666SUI","short_pith_number":"pith:QV3B5H2J","schema_version":"1.0","canonical_sha256":"85761e9f49d90f448cb7019bef7bd2a208175df51f986bbf90786b136f73ae20","source":{"kind":"arxiv","id":"2410.07462","version":3},"attestation_state":"computed","paper":{"title":"A note on the magnetic Steklov operator on functions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.SP"],"primary_cat":"math.DG","authors_text":"Georges Habib, Katie Gittins, Norbert Peyerimhoff, Tirumala Chakradhar","submitted_at":"2024-10-09T22:02:09Z","abstract_excerpt":"We consider the magnetic Steklov eigenvalue problem on compact Riemannian manifolds with boundary for generic magnetic potentials and establish various results concerning the spectrum. We provide equivalent characterizations of magnetic Steklov operators which are unitarily equivalent to the classical Steklov operator and study bounds for the smallest eigenvalue. We prove a Cheeger-Jammes type lower bound for the first eigenvalue by introducing magnetic Cheeger constants. We also obtain an analogue of an upper bound for the first magnetic Neumann eigenvalue due to Colbois, El Soufi, Ilias and "},"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":"2410.07462","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2024-10-09T22:02:09Z","cross_cats_sorted":["math.SP"],"title_canon_sha256":"e18b49c7589f6872fd7e6e50c1e06285e6b9be37303197924b6c6b469d010af4","abstract_canon_sha256":"7f8fdee75798f710014182d83a6ea6f5ab8c37b901416deeab88f5134c66e5ef"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:05:13.307396Z","signature_b64":"MZg69gOB4TtNegJWHUgEpA/d+mAV98hBLNSEyI67En+bMcWDdpocu7PvJBKd5tfU4KperG8dxv4BjcXXBV2EDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"85761e9f49d90f448cb7019bef7bd2a208175df51f986bbf90786b136f73ae20","last_reissued_at":"2026-07-05T10:05:13.306831Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:05:13.306831Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A note on the magnetic Steklov operator on functions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.SP"],"primary_cat":"math.DG","authors_text":"Georges Habib, Katie Gittins, Norbert Peyerimhoff, Tirumala Chakradhar","submitted_at":"2024-10-09T22:02:09Z","abstract_excerpt":"We consider the magnetic Steklov eigenvalue problem on compact Riemannian manifolds with boundary for generic magnetic potentials and establish various results concerning the spectrum. We provide equivalent characterizations of magnetic Steklov operators which are unitarily equivalent to the classical Steklov operator and study bounds for the smallest eigenvalue. We prove a Cheeger-Jammes type lower bound for the first eigenvalue by introducing magnetic Cheeger constants. We also obtain an analogue of an upper bound for the first magnetic Neumann eigenvalue due to Colbois, El Soufi, Ilias and "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2410.07462","kind":"arxiv","version":3},"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/2410.07462/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":"2410.07462","created_at":"2026-07-05T10:05:13.306900+00:00"},{"alias_kind":"arxiv_version","alias_value":"2410.07462v3","created_at":"2026-07-05T10:05:13.306900+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2410.07462","created_at":"2026-07-05T10:05:13.306900+00:00"},{"alias_kind":"pith_short_12","alias_value":"QV3B5H2J3EHU","created_at":"2026-07-05T10:05:13.306900+00:00"},{"alias_kind":"pith_short_16","alias_value":"QV3B5H2J3EHUJDFX","created_at":"2026-07-05T10:05:13.306900+00:00"},{"alias_kind":"pith_short_8","alias_value":"QV3B5H2J","created_at":"2026-07-05T10:05:13.306900+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2501.00947","citing_title":"Asymptotics for the magnetic Dirichlet-to-Neumann eigenvalues in general domains","ref_index":4,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/QV3B5H2J3EHUJDFXAGN6666SUI","json":"https://pith.science/pith/QV3B5H2J3EHUJDFXAGN6666SUI.json","graph_json":"https://pith.science/api/pith-number/QV3B5H2J3EHUJDFXAGN6666SUI/graph.json","events_json":"https://pith.science/api/pith-number/QV3B5H2J3EHUJDFXAGN6666SUI/events.json","paper":"https://pith.science/paper/QV3B5H2J"},"agent_actions":{"view_html":"https://pith.science/pith/QV3B5H2J3EHUJDFXAGN6666SUI","download_json":"https://pith.science/pith/QV3B5H2J3EHUJDFXAGN6666SUI.json","view_paper":"https://pith.science/paper/QV3B5H2J","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2410.07462&json=true","fetch_graph":"https://pith.science/api/pith-number/QV3B5H2J3EHUJDFXAGN6666SUI/graph.json","fetch_events":"https://pith.science/api/pith-number/QV3B5H2J3EHUJDFXAGN6666SUI/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/QV3B5H2J3EHUJDFXAGN6666SUI/action/timestamp_anchor","attest_storage":"https://pith.science/pith/QV3B5H2J3EHUJDFXAGN6666SUI/action/storage_attestation","attest_author":"https://pith.science/pith/QV3B5H2J3EHUJDFXAGN6666SUI/action/author_attestation","sign_citation":"https://pith.science/pith/QV3B5H2J3EHUJDFXAGN6666SUI/action/citation_signature","submit_replication":"https://pith.science/pith/QV3B5H2J3EHUJDFXAGN6666SUI/action/replication_record"}},"created_at":"2026-07-05T10:05:13.306900+00:00","updated_at":"2026-07-05T10:05:13.306900+00:00"}