{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2007:C2Y7RNIEY2PLXY5JCONNDW3QI2","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":"3dc73c4759d87151672c4a9a4a5aeafae3a22fa5784d877c456a3a78acc13503","cross_cats_sorted":["math.FA"],"license":"","primary_cat":"math.SP","submitted_at":"2007-08-03T03:30:59Z","title_canon_sha256":"56ead1b589f9ae69bc49ced63134738c009202ae2ea43666d0af90ec1b9b6400"},"schema_version":"1.0","source":{"id":"0708.0452","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0708.0452","created_at":"2026-05-18T04:09:15Z"},{"alias_kind":"arxiv_version","alias_value":"0708.0452v2","created_at":"2026-05-18T04:09:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0708.0452","created_at":"2026-05-18T04:09:15Z"},{"alias_kind":"pith_short_12","alias_value":"C2Y7RNIEY2PL","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_16","alias_value":"C2Y7RNIEY2PLXY5J","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_8","alias_value":"C2Y7RNIE","created_at":"2026-05-18T12:25:55Z"}],"graph_snapshots":[{"event_id":"sha256:ebf249dfcee5b977abca617d58197b0c3eb6e050201090be6c377e87b991beaa","target":"graph","created_at":"2026-05-18T04:09:15Z","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":"A class of scalar Stieltjes like functions is realized as linear-fractional transformations of transfer functions of conservative systems based on a Schr\\\"odinger operator T_h in $L_2[a,+\\infty)$ with a non-selfadjoint boundary condition. In particular it is shown that any Stieltjes function of this class can be realized in the unique way so that the main operator $\\bA$ of a system is an accretive (*)-extension of a Schr\\\"odinger operator T_h. We derive formulas that restore the system uniquely and allow to find the exact value of a non-real parameter h in the definition of T_h as well as a re","authors_text":"Eduard Tsekanovskii, Sergey Belyi","cross_cats":["math.FA"],"headline":"","license":"","primary_cat":"math.SP","submitted_at":"2007-08-03T03:30:59Z","title":"Stieltjes like functions and inverse problems for systems with Schr\\\"odinger operator"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0708.0452","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":"sha256:71e0ea602c23c0366d770c4960328d3283f6c16bd71a904787158c02ddad42ab","target":"record","created_at":"2026-05-18T04:09:15Z","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":"3dc73c4759d87151672c4a9a4a5aeafae3a22fa5784d877c456a3a78acc13503","cross_cats_sorted":["math.FA"],"license":"","primary_cat":"math.SP","submitted_at":"2007-08-03T03:30:59Z","title_canon_sha256":"56ead1b589f9ae69bc49ced63134738c009202ae2ea43666d0af90ec1b9b6400"},"schema_version":"1.0","source":{"id":"0708.0452","kind":"arxiv","version":2}},"canonical_sha256":"16b1f8b504c69ebbe3a9139ad1db7046a2093b2f6b095baa85085af87a4138b4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"16b1f8b504c69ebbe3a9139ad1db7046a2093b2f6b095baa85085af87a4138b4","first_computed_at":"2026-05-18T04:09:15.165755Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:09:15.165755Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"05c8TXOjTvHevx1Sfq0g5bYlGCT/mR3TIaWKspINVE7Hs8wVmbe7NXoIuSYXqUoxmSka4OcWNnm7HckfdDOxAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:09:15.166228Z","signed_message":"canonical_sha256_bytes"},"source_id":"0708.0452","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:71e0ea602c23c0366d770c4960328d3283f6c16bd71a904787158c02ddad42ab","sha256:ebf249dfcee5b977abca617d58197b0c3eb6e050201090be6c377e87b991beaa"],"state_sha256":"4744cce2c5b692a521dcaa72169d00f9143d43d9134de627bedd307ae1c2e470"}