{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:QCR3N7Q4AH2G2AAO2YVMKZ7UIW","short_pith_number":"pith:QCR3N7Q4","schema_version":"1.0","canonical_sha256":"80a3b6fe1c01f46d000ed62ac567f445a3e54a87fb4b2c2fe958faa927af09fe","source":{"kind":"arxiv","id":"1606.01563","version":1},"attestation_state":"computed","paper":{"title":"Spectral analysis for differential systems with a singularity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.SP","authors_text":"Mikhail Ignatyev","submitted_at":"2016-06-05T21:19:15Z","abstract_excerpt":"We consider the differential system $y'-x^{-1}Ay-q(x)y=\\rho By $ with $n\\times n$ matrices $A,B, q(x)$, where $A,B$ are constant, $B$ is diagonal, $A$ and $q(x)$ are off-diagonal, $q(\\cdot)\\in W^1_1[0,\\infty)$. Some distinguished fundamental system of solutions is constructed. Also, we discuss the inverse scattering problem and obtain the uniqueness result."},"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":"1606.01563","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SP","submitted_at":"2016-06-05T21:19:15Z","cross_cats_sorted":[],"title_canon_sha256":"21feb721d3cb447096548e8f23f59ec0b64d1a18bbbffc4cf5b8bcd5fde765b8","abstract_canon_sha256":"eb6da2c0251d854217fb7db33c7b5975fea51a62787fa83b2a63a6e998afdadb"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:12:53.967081Z","signature_b64":"EeYEDjQ1VmtcSBuyvIo32yKG+gGK3BAESGN2hGdqhIlqAOiX9KVfjDvAWcWYJoZsZm/912qADiwyfeukQnlpDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"80a3b6fe1c01f46d000ed62ac567f445a3e54a87fb4b2c2fe958faa927af09fe","last_reissued_at":"2026-05-18T01:12:53.966737Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:12:53.966737Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Spectral analysis for differential systems with a singularity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.SP","authors_text":"Mikhail Ignatyev","submitted_at":"2016-06-05T21:19:15Z","abstract_excerpt":"We consider the differential system $y'-x^{-1}Ay-q(x)y=\\rho By $ with $n\\times n$ matrices $A,B, q(x)$, where $A,B$ are constant, $B$ is diagonal, $A$ and $q(x)$ are off-diagonal, $q(\\cdot)\\in W^1_1[0,\\infty)$. Some distinguished fundamental system of solutions is constructed. Also, we discuss the inverse scattering problem and obtain the uniqueness result."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.01563","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":"1606.01563","created_at":"2026-05-18T01:12:53.966802+00:00"},{"alias_kind":"arxiv_version","alias_value":"1606.01563v1","created_at":"2026-05-18T01:12:53.966802+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1606.01563","created_at":"2026-05-18T01:12:53.966802+00:00"},{"alias_kind":"pith_short_12","alias_value":"QCR3N7Q4AH2G","created_at":"2026-05-18T12:30:39.010887+00:00"},{"alias_kind":"pith_short_16","alias_value":"QCR3N7Q4AH2G2AAO","created_at":"2026-05-18T12:30:39.010887+00:00"},{"alias_kind":"pith_short_8","alias_value":"QCR3N7Q4","created_at":"2026-05-18T12:30:39.010887+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/QCR3N7Q4AH2G2AAO2YVMKZ7UIW","json":"https://pith.science/pith/QCR3N7Q4AH2G2AAO2YVMKZ7UIW.json","graph_json":"https://pith.science/api/pith-number/QCR3N7Q4AH2G2AAO2YVMKZ7UIW/graph.json","events_json":"https://pith.science/api/pith-number/QCR3N7Q4AH2G2AAO2YVMKZ7UIW/events.json","paper":"https://pith.science/paper/QCR3N7Q4"},"agent_actions":{"view_html":"https://pith.science/pith/QCR3N7Q4AH2G2AAO2YVMKZ7UIW","download_json":"https://pith.science/pith/QCR3N7Q4AH2G2AAO2YVMKZ7UIW.json","view_paper":"https://pith.science/paper/QCR3N7Q4","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1606.01563&json=true","fetch_graph":"https://pith.science/api/pith-number/QCR3N7Q4AH2G2AAO2YVMKZ7UIW/graph.json","fetch_events":"https://pith.science/api/pith-number/QCR3N7Q4AH2G2AAO2YVMKZ7UIW/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/QCR3N7Q4AH2G2AAO2YVMKZ7UIW/action/timestamp_anchor","attest_storage":"https://pith.science/pith/QCR3N7Q4AH2G2AAO2YVMKZ7UIW/action/storage_attestation","attest_author":"https://pith.science/pith/QCR3N7Q4AH2G2AAO2YVMKZ7UIW/action/author_attestation","sign_citation":"https://pith.science/pith/QCR3N7Q4AH2G2AAO2YVMKZ7UIW/action/citation_signature","submit_replication":"https://pith.science/pith/QCR3N7Q4AH2G2AAO2YVMKZ7UIW/action/replication_record"}},"created_at":"2026-05-18T01:12:53.966802+00:00","updated_at":"2026-05-18T01:12:53.966802+00:00"}