{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2004:V26YHK4VDZHSYSWZZERQDSUYB6","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":"cf29b1e1c61c2a6666d0ff3bc87238f112b145155c1aa4ae811c8a9c81519f03","cross_cats_sorted":["math.MP"],"license":"","primary_cat":"math-ph","submitted_at":"2004-03-10T15:46:46Z","title_canon_sha256":"886eee5157c579ebb5458212b0bbce7c31153dfee481d657febf48a43b037783"},"schema_version":"1.0","source":{"id":"math-ph/0403014","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math-ph/0403014","created_at":"2026-05-18T01:38:33Z"},{"alias_kind":"arxiv_version","alias_value":"math-ph/0403014v2","created_at":"2026-05-18T01:38:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math-ph/0403014","created_at":"2026-05-18T01:38:33Z"},{"alias_kind":"pith_short_12","alias_value":"V26YHK4VDZHS","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_16","alias_value":"V26YHK4VDZHSYSWZ","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_8","alias_value":"V26YHK4V","created_at":"2026-05-18T12:25:52Z"}],"graph_snapshots":[{"event_id":"sha256:a15012cc0c1086056af311dcabed3acb848ec2576b04f123cbea3bd319a375f1","target":"graph","created_at":"2026-05-18T01:38:33Z","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":"For a system of M coupled Schroedinger equations, the relationship is found between the vector-valued norming constants and M+1 spectra corresponding to the same potential matrix but different boundary conditions. Under a special choice of particular boundary conditions, this equation for norming vectors has a unique solution. The double set of norming vectors and associated spectrum of one of the M+1 boundary value problems uniquely specifies the matrix of potentials in the multichannel Schroedinger equation.","authors_text":"V. M. Chabanov","cross_cats":["math.MP"],"headline":"","license":"","primary_cat":"math-ph","submitted_at":"2004-03-10T15:46:46Z","title":"Recovering the M-channel Sturm-Liouville operator from M+1 spectra"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math-ph/0403014","kind":"arxiv","version":2},"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":"sha256:52f1404f3f12d04374311bff7eb81401e8c8260736bfd057ce26c01c45b2a044","target":"record","created_at":"2026-05-18T01:38:33Z","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":"cf29b1e1c61c2a6666d0ff3bc87238f112b145155c1aa4ae811c8a9c81519f03","cross_cats_sorted":["math.MP"],"license":"","primary_cat":"math-ph","submitted_at":"2004-03-10T15:46:46Z","title_canon_sha256":"886eee5157c579ebb5458212b0bbce7c31153dfee481d657febf48a43b037783"},"schema_version":"1.0","source":{"id":"math-ph/0403014","kind":"arxiv","version":2}},"canonical_sha256":"aebd83ab951e4f2c4ad9c92301ca980faa68561b55b0d519de79ecdbccfbe554","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"aebd83ab951e4f2c4ad9c92301ca980faa68561b55b0d519de79ecdbccfbe554","first_computed_at":"2026-05-18T01:38:33.545061Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:38:33.545061Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"kbpv7CLEUdAC8s+tWELossqgQ1oHwNp68hrige0uERaMya/rGuuAWt5o7Sb2Tjxv+aCJE1MX7qX0seeURBMMDA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:38:33.545538Z","signed_message":"canonical_sha256_bytes"},"source_id":"math-ph/0403014","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:52f1404f3f12d04374311bff7eb81401e8c8260736bfd057ce26c01c45b2a044","sha256:a15012cc0c1086056af311dcabed3acb848ec2576b04f123cbea3bd319a375f1"],"state_sha256":"7205d13c3ffdf4c4696ae2aa063694e4a512446ff806ac64c9863f84b4b94817"}