{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:PO3QY7Z7SDOYDESJNXI2XRIDS4","short_pith_number":"pith:PO3QY7Z7","schema_version":"1.0","canonical_sha256":"7bb70c7f3f90dd8192496dd1abc503973ec17c498bc78bb3a98a42e01d0f9739","source":{"kind":"arxiv","id":"2501.00969","version":1},"attestation_state":"computed","paper":{"title":"The Landis Conjecture For Nonlocal Elliptic Operators: Polynomial Decay","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Gabrielle Nornberg, Sebasti\\'an Flores Sep\\'ulveda","submitted_at":"2025-01-01T22:27:48Z","abstract_excerpt":"We obtain a unique continuation result at infinity for fully nonlinear elliptic integro-differential operators of order 2s which satisfy the maximum and minimum principles in bounded subdomains, under the decay assumption $o(|x|^{-(N+2s)})$ at infinity. Our result is new even in the case of the fractional Laplacian, as it unveils the nonlocal nature of the decay in Landis conjecture, evolving from exponential to polynomial."},"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":"2501.00969","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AP","submitted_at":"2025-01-01T22:27:48Z","cross_cats_sorted":[],"title_canon_sha256":"e3ad448f7476cd0d425a49d4c4ef18be7ab3a3407cc68cf8660c26c12c088cb2","abstract_canon_sha256":"71c0528c05cc55f84d5d7df7769aa1a274c3e4ba7690d4fc3cdba867a4de6216"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:56:12.592197Z","signature_b64":"bJiGQCzL83IIhcxgzbdFbzyU2HBUJUB1YE0wMYehilgTevRdSkg8OtclKzOs1vGraaphR116zhMvaajmj/fPBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7bb70c7f3f90dd8192496dd1abc503973ec17c498bc78bb3a98a42e01d0f9739","last_reissued_at":"2026-07-05T09:56:12.591734Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:56:12.591734Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The Landis Conjecture For Nonlocal Elliptic Operators: Polynomial Decay","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Gabrielle Nornberg, Sebasti\\'an Flores Sep\\'ulveda","submitted_at":"2025-01-01T22:27:48Z","abstract_excerpt":"We obtain a unique continuation result at infinity for fully nonlinear elliptic integro-differential operators of order 2s which satisfy the maximum and minimum principles in bounded subdomains, under the decay assumption $o(|x|^{-(N+2s)})$ at infinity. Our result is new even in the case of the fractional Laplacian, as it unveils the nonlocal nature of the decay in Landis conjecture, evolving from exponential to polynomial."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2501.00969","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/2501.00969/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":"2501.00969","created_at":"2026-07-05T09:56:12.591793+00:00"},{"alias_kind":"arxiv_version","alias_value":"2501.00969v1","created_at":"2026-07-05T09:56:12.591793+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2501.00969","created_at":"2026-07-05T09:56:12.591793+00:00"},{"alias_kind":"pith_short_12","alias_value":"PO3QY7Z7SDOY","created_at":"2026-07-05T09:56:12.591793+00:00"},{"alias_kind":"pith_short_16","alias_value":"PO3QY7Z7SDOYDESJ","created_at":"2026-07-05T09:56:12.591793+00:00"},{"alias_kind":"pith_short_8","alias_value":"PO3QY7Z7","created_at":"2026-07-05T09:56:12.591793+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/PO3QY7Z7SDOYDESJNXI2XRIDS4","json":"https://pith.science/pith/PO3QY7Z7SDOYDESJNXI2XRIDS4.json","graph_json":"https://pith.science/api/pith-number/PO3QY7Z7SDOYDESJNXI2XRIDS4/graph.json","events_json":"https://pith.science/api/pith-number/PO3QY7Z7SDOYDESJNXI2XRIDS4/events.json","paper":"https://pith.science/paper/PO3QY7Z7"},"agent_actions":{"view_html":"https://pith.science/pith/PO3QY7Z7SDOYDESJNXI2XRIDS4","download_json":"https://pith.science/pith/PO3QY7Z7SDOYDESJNXI2XRIDS4.json","view_paper":"https://pith.science/paper/PO3QY7Z7","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2501.00969&json=true","fetch_graph":"https://pith.science/api/pith-number/PO3QY7Z7SDOYDESJNXI2XRIDS4/graph.json","fetch_events":"https://pith.science/api/pith-number/PO3QY7Z7SDOYDESJNXI2XRIDS4/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/PO3QY7Z7SDOYDESJNXI2XRIDS4/action/timestamp_anchor","attest_storage":"https://pith.science/pith/PO3QY7Z7SDOYDESJNXI2XRIDS4/action/storage_attestation","attest_author":"https://pith.science/pith/PO3QY7Z7SDOYDESJNXI2XRIDS4/action/author_attestation","sign_citation":"https://pith.science/pith/PO3QY7Z7SDOYDESJNXI2XRIDS4/action/citation_signature","submit_replication":"https://pith.science/pith/PO3QY7Z7SDOYDESJNXI2XRIDS4/action/replication_record"}},"created_at":"2026-07-05T09:56:12.591793+00:00","updated_at":"2026-07-05T09:56:12.591793+00:00"}