{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:WMOIUXRTIWZ7UDSQWAUZSQZV2K","short_pith_number":"pith:WMOIUXRT","schema_version":"1.0","canonical_sha256":"b31c8a5e3345b3fa0e50b029994335d2b151ac549d53b1f779fa395f4719fcdc","source":{"kind":"arxiv","id":"1502.02837","version":2},"attestation_state":"computed","paper":{"title":"Inverse iteration for $p$-ground states","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Erik Lindgren, Ryan Hynd","submitted_at":"2015-02-10T10:16:47Z","abstract_excerpt":"We adapt the inverse iteration method for symmetric matrices to some nonlinear PDE eigenvalue problems. In particular, for $p\\in (1,\\infty)$ and a given domain $\\Omega\\subset\\mathbb{R}^n$, we analyze a scheme that allows us to approximate the smallest value the ratio $\\int_\\Omega|D\\psi|^p dx/\\int_\\Omega|\\psi|^p dx$ can assume for functions $\\psi$ that vanish on $\\partial \\Omega$. The scheme in question also provides a natural way to approximate minimizing $\\psi$. Our analysis also extends in the limit as $p\\rightarrow\\infty$ and thereby fashions a new approximation method for ground states of "},"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":"1502.02837","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-02-10T10:16:47Z","cross_cats_sorted":[],"title_canon_sha256":"6dae9a4a295b0a69400ec76adb0199b3fc0038ba2b1ddfa93dfd58a3f9e2a86c","abstract_canon_sha256":"bc6db26703896537bb6e39b610b6b31f6e46fd783895c9e7a2c536ba1f5a5a49"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:25:33.660069Z","signature_b64":"61CgwVOsPRaS3uf39w1XU5KSW86gR06WaQaFk2NqC+vsmfmhFU6M59/OgK8ANhpvn3fIEwSYx4rwD0W39B4DDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b31c8a5e3345b3fa0e50b029994335d2b151ac549d53b1f779fa395f4719fcdc","last_reissued_at":"2026-05-18T02:25:33.659617Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:25:33.659617Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Inverse iteration for $p$-ground states","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Erik Lindgren, Ryan Hynd","submitted_at":"2015-02-10T10:16:47Z","abstract_excerpt":"We adapt the inverse iteration method for symmetric matrices to some nonlinear PDE eigenvalue problems. In particular, for $p\\in (1,\\infty)$ and a given domain $\\Omega\\subset\\mathbb{R}^n$, we analyze a scheme that allows us to approximate the smallest value the ratio $\\int_\\Omega|D\\psi|^p dx/\\int_\\Omega|\\psi|^p dx$ can assume for functions $\\psi$ that vanish on $\\partial \\Omega$. The scheme in question also provides a natural way to approximate minimizing $\\psi$. Our analysis also extends in the limit as $p\\rightarrow\\infty$ and thereby fashions a new approximation method for ground states of "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.02837","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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":"1502.02837","created_at":"2026-05-18T02:25:33.659698+00:00"},{"alias_kind":"arxiv_version","alias_value":"1502.02837v2","created_at":"2026-05-18T02:25:33.659698+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1502.02837","created_at":"2026-05-18T02:25:33.659698+00:00"},{"alias_kind":"pith_short_12","alias_value":"WMOIUXRTIWZ7","created_at":"2026-05-18T12:29:47.479230+00:00"},{"alias_kind":"pith_short_16","alias_value":"WMOIUXRTIWZ7UDSQ","created_at":"2026-05-18T12:29:47.479230+00:00"},{"alias_kind":"pith_short_8","alias_value":"WMOIUXRT","created_at":"2026-05-18T12:29:47.479230+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/WMOIUXRTIWZ7UDSQWAUZSQZV2K","json":"https://pith.science/pith/WMOIUXRTIWZ7UDSQWAUZSQZV2K.json","graph_json":"https://pith.science/api/pith-number/WMOIUXRTIWZ7UDSQWAUZSQZV2K/graph.json","events_json":"https://pith.science/api/pith-number/WMOIUXRTIWZ7UDSQWAUZSQZV2K/events.json","paper":"https://pith.science/paper/WMOIUXRT"},"agent_actions":{"view_html":"https://pith.science/pith/WMOIUXRTIWZ7UDSQWAUZSQZV2K","download_json":"https://pith.science/pith/WMOIUXRTIWZ7UDSQWAUZSQZV2K.json","view_paper":"https://pith.science/paper/WMOIUXRT","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1502.02837&json=true","fetch_graph":"https://pith.science/api/pith-number/WMOIUXRTIWZ7UDSQWAUZSQZV2K/graph.json","fetch_events":"https://pith.science/api/pith-number/WMOIUXRTIWZ7UDSQWAUZSQZV2K/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/WMOIUXRTIWZ7UDSQWAUZSQZV2K/action/timestamp_anchor","attest_storage":"https://pith.science/pith/WMOIUXRTIWZ7UDSQWAUZSQZV2K/action/storage_attestation","attest_author":"https://pith.science/pith/WMOIUXRTIWZ7UDSQWAUZSQZV2K/action/author_attestation","sign_citation":"https://pith.science/pith/WMOIUXRTIWZ7UDSQWAUZSQZV2K/action/citation_signature","submit_replication":"https://pith.science/pith/WMOIUXRTIWZ7UDSQWAUZSQZV2K/action/replication_record"}},"created_at":"2026-05-18T02:25:33.659698+00:00","updated_at":"2026-05-18T02:25:33.659698+00:00"}