{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:IJRSHHOLHCWXIH46RHV6GXRU3K","short_pith_number":"pith:IJRSHHOL","schema_version":"1.0","canonical_sha256":"4263239dcb38ad741f9e89ebe35e34da8ae2d41795cedf2f0f5590c333083e86","source":{"kind":"arxiv","id":"1208.1201","version":1},"attestation_state":"computed","paper":{"title":"Unitary equivalence of proper extensions of a symmetric operator and the Weyl function","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Mark Malamud, Seppo Hassi, Vadim Mogilevskii","submitted_at":"2012-08-06T16:18:47Z","abstract_excerpt":"Let $A$ be a densely defined simple symmetric operator in $\\gH$, let $\\Pi=\\bt$ be a boundary triplet for $A^*$ and let $M(\\cd)$ be the corresponding Weyl function. It is known that the Weyl function $M(\\cd)$ determines the boundary triplet $\\Pi$, in particular, the pair ${A,A_0}$, where $A_0:= A^*\\lceil\\ker\\G_0 (= A^*_0)$, uniquely up to unitary similarity. At the same time the Weyl function corresponding to a boundary triplet for a dual pair of operators defines it uniquely only up to weak similarity.\n  In this paper we consider symmetric dual pairs ${A,A}$ generated by $A\\subset A^*$ and spe"},"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":"1208.1201","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2012-08-06T16:18:47Z","cross_cats_sorted":[],"title_canon_sha256":"a00841a0bd6eea7f8aace10e22ea37bf1d21aaa9d98abc4fdfe50debf2803510","abstract_canon_sha256":"77c4e3c76c3132f8e4f137c7368b29361ca1b83e4b297c376daf185c2e954368"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:49:20.392278Z","signature_b64":"L8uk+MknTeMU1dx4ElmnGbM2FX/nwUofehEQkWl5tOGt9gr65289yeyV47eJMyei1OjEebduJGhLlYCeW3ghDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4263239dcb38ad741f9e89ebe35e34da8ae2d41795cedf2f0f5590c333083e86","last_reissued_at":"2026-05-18T03:49:20.391688Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:49:20.391688Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Unitary equivalence of proper extensions of a symmetric operator and the Weyl function","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Mark Malamud, Seppo Hassi, Vadim Mogilevskii","submitted_at":"2012-08-06T16:18:47Z","abstract_excerpt":"Let $A$ be a densely defined simple symmetric operator in $\\gH$, let $\\Pi=\\bt$ be a boundary triplet for $A^*$ and let $M(\\cd)$ be the corresponding Weyl function. It is known that the Weyl function $M(\\cd)$ determines the boundary triplet $\\Pi$, in particular, the pair ${A,A_0}$, where $A_0:= A^*\\lceil\\ker\\G_0 (= A^*_0)$, uniquely up to unitary similarity. At the same time the Weyl function corresponding to a boundary triplet for a dual pair of operators defines it uniquely only up to weak similarity.\n  In this paper we consider symmetric dual pairs ${A,A}$ generated by $A\\subset A^*$ and spe"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1208.1201","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":"1208.1201","created_at":"2026-05-18T03:49:20.391784+00:00"},{"alias_kind":"arxiv_version","alias_value":"1208.1201v1","created_at":"2026-05-18T03:49:20.391784+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1208.1201","created_at":"2026-05-18T03:49:20.391784+00:00"},{"alias_kind":"pith_short_12","alias_value":"IJRSHHOLHCWX","created_at":"2026-05-18T12:27:09.501522+00:00"},{"alias_kind":"pith_short_16","alias_value":"IJRSHHOLHCWXIH46","created_at":"2026-05-18T12:27:09.501522+00:00"},{"alias_kind":"pith_short_8","alias_value":"IJRSHHOL","created_at":"2026-05-18T12:27:09.501522+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/IJRSHHOLHCWXIH46RHV6GXRU3K","json":"https://pith.science/pith/IJRSHHOLHCWXIH46RHV6GXRU3K.json","graph_json":"https://pith.science/api/pith-number/IJRSHHOLHCWXIH46RHV6GXRU3K/graph.json","events_json":"https://pith.science/api/pith-number/IJRSHHOLHCWXIH46RHV6GXRU3K/events.json","paper":"https://pith.science/paper/IJRSHHOL"},"agent_actions":{"view_html":"https://pith.science/pith/IJRSHHOLHCWXIH46RHV6GXRU3K","download_json":"https://pith.science/pith/IJRSHHOLHCWXIH46RHV6GXRU3K.json","view_paper":"https://pith.science/paper/IJRSHHOL","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1208.1201&json=true","fetch_graph":"https://pith.science/api/pith-number/IJRSHHOLHCWXIH46RHV6GXRU3K/graph.json","fetch_events":"https://pith.science/api/pith-number/IJRSHHOLHCWXIH46RHV6GXRU3K/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/IJRSHHOLHCWXIH46RHV6GXRU3K/action/timestamp_anchor","attest_storage":"https://pith.science/pith/IJRSHHOLHCWXIH46RHV6GXRU3K/action/storage_attestation","attest_author":"https://pith.science/pith/IJRSHHOLHCWXIH46RHV6GXRU3K/action/author_attestation","sign_citation":"https://pith.science/pith/IJRSHHOLHCWXIH46RHV6GXRU3K/action/citation_signature","submit_replication":"https://pith.science/pith/IJRSHHOLHCWXIH46RHV6GXRU3K/action/replication_record"}},"created_at":"2026-05-18T03:49:20.391784+00:00","updated_at":"2026-05-18T03:49:20.391784+00:00"}