{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:TZL5OL4ZXKIONSUJN26LO3JWNK","short_pith_number":"pith:TZL5OL4Z","schema_version":"1.0","canonical_sha256":"9e57d72f99ba90e6ca896ebcb76d366a8a82c2482f291238e312f16f74f7a219","source":{"kind":"arxiv","id":"1801.05684","version":1},"attestation_state":"computed","paper":{"title":"Eigenvector localization in the heavy-tailed random conductance model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.SP"],"primary_cat":"math.PR","authors_text":"Franziska Flegel","submitted_at":"2018-01-17T14:39:46Z","abstract_excerpt":"We generalize our former localization result about the principal Dirichlet eigenvector of the i.i.d. heavy-tailed random conductance Laplacian to the first $k$ eigenvectors. We overcome the complication that the higher eigenvectors have fluctuating signs by invoking the Bauer-Fike theorem to show that the $k$th eigenvector is close to the principal eigenvector of an auxiliary spectral problem."},"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":"1801.05684","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2018-01-17T14:39:46Z","cross_cats_sorted":["math.SP"],"title_canon_sha256":"816c7214c1f56f0a3753c34f4cdc346acfb260c625fe70d41529a02a588f4fca","abstract_canon_sha256":"99e88409c5cb50186360c39e14981f916e338c8e0f4ff3e380fbb9578d11706b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:25:40.429397Z","signature_b64":"q+SSUVOHITA4uJTR0NJeIVg4h4k5p1k5N+Xo/zHpIoBB+5ypJTyTzIdim3UBSMPyiY1Qd5JT6bgol0z3xd0JAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9e57d72f99ba90e6ca896ebcb76d366a8a82c2482f291238e312f16f74f7a219","last_reissued_at":"2026-05-18T00:25:40.428813Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:25:40.428813Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Eigenvector localization in the heavy-tailed random conductance model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.SP"],"primary_cat":"math.PR","authors_text":"Franziska Flegel","submitted_at":"2018-01-17T14:39:46Z","abstract_excerpt":"We generalize our former localization result about the principal Dirichlet eigenvector of the i.i.d. heavy-tailed random conductance Laplacian to the first $k$ eigenvectors. We overcome the complication that the higher eigenvectors have fluctuating signs by invoking the Bauer-Fike theorem to show that the $k$th eigenvector is close to the principal eigenvector of an auxiliary spectral problem."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.05684","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":""},"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":"1801.05684","created_at":"2026-05-18T00:25:40.428883+00:00"},{"alias_kind":"arxiv_version","alias_value":"1801.05684v1","created_at":"2026-05-18T00:25:40.428883+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.05684","created_at":"2026-05-18T00:25:40.428883+00:00"},{"alias_kind":"pith_short_12","alias_value":"TZL5OL4ZXKIO","created_at":"2026-05-18T12:32:56.356000+00:00"},{"alias_kind":"pith_short_16","alias_value":"TZL5OL4ZXKIONSUJ","created_at":"2026-05-18T12:32:56.356000+00:00"},{"alias_kind":"pith_short_8","alias_value":"TZL5OL4Z","created_at":"2026-05-18T12:32:56.356000+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/TZL5OL4ZXKIONSUJN26LO3JWNK","json":"https://pith.science/pith/TZL5OL4ZXKIONSUJN26LO3JWNK.json","graph_json":"https://pith.science/api/pith-number/TZL5OL4ZXKIONSUJN26LO3JWNK/graph.json","events_json":"https://pith.science/api/pith-number/TZL5OL4ZXKIONSUJN26LO3JWNK/events.json","paper":"https://pith.science/paper/TZL5OL4Z"},"agent_actions":{"view_html":"https://pith.science/pith/TZL5OL4ZXKIONSUJN26LO3JWNK","download_json":"https://pith.science/pith/TZL5OL4ZXKIONSUJN26LO3JWNK.json","view_paper":"https://pith.science/paper/TZL5OL4Z","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1801.05684&json=true","fetch_graph":"https://pith.science/api/pith-number/TZL5OL4ZXKIONSUJN26LO3JWNK/graph.json","fetch_events":"https://pith.science/api/pith-number/TZL5OL4ZXKIONSUJN26LO3JWNK/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/TZL5OL4ZXKIONSUJN26LO3JWNK/action/timestamp_anchor","attest_storage":"https://pith.science/pith/TZL5OL4ZXKIONSUJN26LO3JWNK/action/storage_attestation","attest_author":"https://pith.science/pith/TZL5OL4ZXKIONSUJN26LO3JWNK/action/author_attestation","sign_citation":"https://pith.science/pith/TZL5OL4ZXKIONSUJN26LO3JWNK/action/citation_signature","submit_replication":"https://pith.science/pith/TZL5OL4ZXKIONSUJN26LO3JWNK/action/replication_record"}},"created_at":"2026-05-18T00:25:40.428883+00:00","updated_at":"2026-05-18T00:25:40.428883+00:00"}