{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:Y6LJQ232UEYO7R27BTTGW7QIXN","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"de2689b0ed6b5ad9cddb577e2db720eccf712007c50783b8fcba17824ba7c8d4","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-09-17T23:21:38Z","title_canon_sha256":"6a05ea9f94193abcc7dba6db90aa22b2dc93f19feb4f001e2ce1f8cbf314e3f4"},"schema_version":"1.0","source":{"id":"1709.05726","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1709.05726","created_at":"2026-05-18T00:34:59Z"},{"alias_kind":"arxiv_version","alias_value":"1709.05726v1","created_at":"2026-05-18T00:34:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1709.05726","created_at":"2026-05-18T00:34:59Z"},{"alias_kind":"pith_short_12","alias_value":"Y6LJQ232UEYO","created_at":"2026-05-18T12:31:56Z"},{"alias_kind":"pith_short_16","alias_value":"Y6LJQ232UEYO7R27","created_at":"2026-05-18T12:31:56Z"},{"alias_kind":"pith_short_8","alias_value":"Y6LJQ232","created_at":"2026-05-18T12:31:56Z"}],"graph_snapshots":[{"event_id":"sha256:ea7d8e3e9e7dd5dfaaab905133c696e637ed86e364c577e8a74c60fdf8eb8ccc","target":"graph","created_at":"2026-05-18T00:34:59Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"We are interested in the phenomenon of the essential spectrum instability for a class of unbounded (block) Jacobi matrices. We give a series of sufficient conditions for the matrices from certain classes to have a discrete spectrum on a half-axis of a real line. An extensive list of examples showing the sharpness of obtained results is provided.","authors_text":"Sergey Naboko, Stanislas Kupin","cross_cats":["math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-09-17T23:21:38Z","title":"On the instability of the essential spectrum for block Jacobi matrices"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1709.05726","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:a8fc346cd8d98126b43fc3725800b3e555d6ff663a7e457bcf9810c9f746a82b","target":"record","created_at":"2026-05-18T00:34:59Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"de2689b0ed6b5ad9cddb577e2db720eccf712007c50783b8fcba17824ba7c8d4","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-09-17T23:21:38Z","title_canon_sha256":"6a05ea9f94193abcc7dba6db90aa22b2dc93f19feb4f001e2ce1f8cbf314e3f4"},"schema_version":"1.0","source":{"id":"1709.05726","kind":"arxiv","version":1}},"canonical_sha256":"c796986b7aa130efc75f0ce66b7e08bb46130d60e22ed69de9ca2107c0ea5c63","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c796986b7aa130efc75f0ce66b7e08bb46130d60e22ed69de9ca2107c0ea5c63","first_computed_at":"2026-05-18T00:34:59.656757Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:34:59.656757Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"kmZtz//4mi/iE32MvlTm2lIgTBF2ekb6n80djxXMOQQPIq49ifcD/zMzdDlXtQ5zNORjuWsRQIN03aQTU+pdDA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:34:59.657472Z","signed_message":"canonical_sha256_bytes"},"source_id":"1709.05726","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a8fc346cd8d98126b43fc3725800b3e555d6ff663a7e457bcf9810c9f746a82b","sha256:ea7d8e3e9e7dd5dfaaab905133c696e637ed86e364c577e8a74c60fdf8eb8ccc"],"state_sha256":"060b85e1f35feb7681e597e2b261d716cd4a1bbbc7bf4fafd4ef9d773a9d555b"}