{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2020:OVKFVEPFAPB2MFQVTU4X4YTD3G","short_pith_number":"pith:OVKFVEPF","schema_version":"1.0","canonical_sha256":"75545a91e503c3a616159d397e6263d9a464bbccbce59478503c7d7e7e6b8799","source":{"kind":"arxiv","id":"2007.07034","version":1},"attestation_state":"computed","paper":{"title":"The Landis conjecture on exponential decay","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.CA","math.MP"],"primary_cat":"math.AP","authors_text":"A.Logunov, E.Malinnikova, F.Nazarov, N.Nadirashvili","submitted_at":"2020-07-14T13:44:38Z","abstract_excerpt":"Consider a solution $u$ to $\\Delta u +Vu=0$ on $\\mathbb{R}^2$, where $V$ is real-valued, measurable and $|V|\\leq 1$. If $|u(x)| \\leq \\exp(-C |x| \\log^{1/2}|x|)$, $|x|>2$, where $C$ is a sufficiently large absolute constant, then $u\\equiv 0$."},"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":"2007.07034","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2020-07-14T13:44:38Z","cross_cats_sorted":["math-ph","math.CA","math.MP"],"title_canon_sha256":"f0d5439e7dfcb7eb5f17a998defa441fe43d5076abca4622b3ba1c47efa45bf5","abstract_canon_sha256":"30094baebf08c2082497ce440f80a09c6a7aaefe9f685fb8d8d5cd05758ad363"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T01:18:26.083605Z","signature_b64":"uYFHKUAvATJVsqnEDj3p8zXxc8kDjeCy/bc6BC9v+1Svra+mW7FiFPxscTeqcJvW2o6ilFF4pW0Ddq/VZSspBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"75545a91e503c3a616159d397e6263d9a464bbccbce59478503c7d7e7e6b8799","last_reissued_at":"2026-07-05T01:18:26.083199Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T01:18:26.083199Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The Landis conjecture on exponential decay","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.CA","math.MP"],"primary_cat":"math.AP","authors_text":"A.Logunov, E.Malinnikova, F.Nazarov, N.Nadirashvili","submitted_at":"2020-07-14T13:44:38Z","abstract_excerpt":"Consider a solution $u$ to $\\Delta u +Vu=0$ on $\\mathbb{R}^2$, where $V$ is real-valued, measurable and $|V|\\leq 1$. If $|u(x)| \\leq \\exp(-C |x| \\log^{1/2}|x|)$, $|x|>2$, where $C$ is a sufficiently large absolute constant, then $u\\equiv 0$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2007.07034","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/2007.07034/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":"2007.07034","created_at":"2026-07-05T01:18:26.083258+00:00"},{"alias_kind":"arxiv_version","alias_value":"2007.07034v1","created_at":"2026-07-05T01:18:26.083258+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2007.07034","created_at":"2026-07-05T01:18:26.083258+00:00"},{"alias_kind":"pith_short_12","alias_value":"OVKFVEPFAPB2","created_at":"2026-07-05T01:18:26.083258+00:00"},{"alias_kind":"pith_short_16","alias_value":"OVKFVEPFAPB2MFQV","created_at":"2026-07-05T01:18:26.083258+00:00"},{"alias_kind":"pith_short_8","alias_value":"OVKFVEPF","created_at":"2026-07-05T01:18:26.083258+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2501.15354","citing_title":"Eigenfunctions with double exponential rate of localization","ref_index":30,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/OVKFVEPFAPB2MFQVTU4X4YTD3G","json":"https://pith.science/pith/OVKFVEPFAPB2MFQVTU4X4YTD3G.json","graph_json":"https://pith.science/api/pith-number/OVKFVEPFAPB2MFQVTU4X4YTD3G/graph.json","events_json":"https://pith.science/api/pith-number/OVKFVEPFAPB2MFQVTU4X4YTD3G/events.json","paper":"https://pith.science/paper/OVKFVEPF"},"agent_actions":{"view_html":"https://pith.science/pith/OVKFVEPFAPB2MFQVTU4X4YTD3G","download_json":"https://pith.science/pith/OVKFVEPFAPB2MFQVTU4X4YTD3G.json","view_paper":"https://pith.science/paper/OVKFVEPF","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2007.07034&json=true","fetch_graph":"https://pith.science/api/pith-number/OVKFVEPFAPB2MFQVTU4X4YTD3G/graph.json","fetch_events":"https://pith.science/api/pith-number/OVKFVEPFAPB2MFQVTU4X4YTD3G/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/OVKFVEPFAPB2MFQVTU4X4YTD3G/action/timestamp_anchor","attest_storage":"https://pith.science/pith/OVKFVEPFAPB2MFQVTU4X4YTD3G/action/storage_attestation","attest_author":"https://pith.science/pith/OVKFVEPFAPB2MFQVTU4X4YTD3G/action/author_attestation","sign_citation":"https://pith.science/pith/OVKFVEPFAPB2MFQVTU4X4YTD3G/action/citation_signature","submit_replication":"https://pith.science/pith/OVKFVEPFAPB2MFQVTU4X4YTD3G/action/replication_record"}},"created_at":"2026-07-05T01:18:26.083258+00:00","updated_at":"2026-07-05T01:18:26.083258+00:00"}