{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:CVVIJHD4N7HX274PT4ZNS26JIN","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":"8e75ef7d41b54c18d95f0a7c53991fd3148667e066f7248b9a78c287a94a164a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2018-12-19T14:21:00Z","title_canon_sha256":"9f83d0f8faf59dbe198d002c319e20068d1f53676e2f9f3bf6e97babe287e531"},"schema_version":"1.0","source":{"id":"1812.07968","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1812.07968","created_at":"2026-05-17T23:57:55Z"},{"alias_kind":"arxiv_version","alias_value":"1812.07968v1","created_at":"2026-05-17T23:57:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1812.07968","created_at":"2026-05-17T23:57:55Z"},{"alias_kind":"pith_short_12","alias_value":"CVVIJHD4N7HX","created_at":"2026-05-18T12:32:19Z"},{"alias_kind":"pith_short_16","alias_value":"CVVIJHD4N7HX274P","created_at":"2026-05-18T12:32:19Z"},{"alias_kind":"pith_short_8","alias_value":"CVVIJHD4","created_at":"2026-05-18T12:32:19Z"}],"graph_snapshots":[{"event_id":"sha256:92c22aff860e6a3e40721aae6baa67109e0737f9672fa4d219c25fc09893d1f9","target":"graph","created_at":"2026-05-17T23:57:55Z","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 study a liaison between the Bohl's exponents and the exponential dichotomy spectrum of a non autonomous linear system of difference equations on the whole line $\\mathbb{Z}$. More specifically, We prove that for any initial condition in an invariant vector bundle, associated to its exponential dichotomy spectrum, its Bohl's exponents are contained in an spectral interval.","authors_text":"Gonzalo Robledo, Nicolas Pinto","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2018-12-19T14:21:00Z","title":"Some relations between Bohl Exponents and the Exponential Dichotomy spectrum"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1812.07968","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":"sha256:686fbd0c8b4078d02354021f2623a34ccd6119341d2cf48ff3d20e70b49272fc","target":"record","created_at":"2026-05-17T23:57:55Z","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":"8e75ef7d41b54c18d95f0a7c53991fd3148667e066f7248b9a78c287a94a164a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2018-12-19T14:21:00Z","title_canon_sha256":"9f83d0f8faf59dbe198d002c319e20068d1f53676e2f9f3bf6e97babe287e531"},"schema_version":"1.0","source":{"id":"1812.07968","kind":"arxiv","version":1}},"canonical_sha256":"156a849c7c6fcf7d7f8f9f32d96bc943738d6b38bbd352ce7bc8207c62ca5654","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"156a849c7c6fcf7d7f8f9f32d96bc943738d6b38bbd352ce7bc8207c62ca5654","first_computed_at":"2026-05-17T23:57:55.367776Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:57:55.367776Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"HQVxgAGhyaS5GDqSxsO+wHFJLKIgH1ZgdsISqbjKQkIqKEAiaGbMJvsWpJTz7zpW7mCy1zC7qRZpTlH+NpLOCQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:57:55.368307Z","signed_message":"canonical_sha256_bytes"},"source_id":"1812.07968","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:686fbd0c8b4078d02354021f2623a34ccd6119341d2cf48ff3d20e70b49272fc","sha256:92c22aff860e6a3e40721aae6baa67109e0737f9672fa4d219c25fc09893d1f9"],"state_sha256":"0d45a7f4fb6a7604ea85067c63457d32078714927f5b02952dca4acdbe98fb08"}