{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:A7UXQ52BZTAEHJKWPSVJNOFJEH","short_pith_number":"pith:A7UXQ52B","schema_version":"1.0","canonical_sha256":"07e9787741ccc043a5567caa96b8a921edf491d93e8e2997a8fa9a3955579f46","source":{"kind":"arxiv","id":"2605.23846","version":1},"attestation_state":"computed","paper":{"title":"Adjacent cross-sections of the commutant of Hilbert space operators","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"L\\'aszl\\'o K\\'erchy","submitted_at":"2026-05-22T16:58:38Z","abstract_excerpt":"Applying the techniques resulting the existence of almost invariant half-spaces, similarity models $\\wh T$ can be given for upper triangular operator-matrices $T= \\left[\\begin{matrix}A&C\\\\ 0&B\\end{matrix}\\right]$. The model $\\wh T$ is also an operator-matrix, containing two diagonal operators in the general case \\cite{ker25}, and the unilateral shift $S$ together with a diagonal operator in the particular case when $A$ is similar to $S$ \\cite{ker26}. Well-chosen compressions of operators in the commutant $\\{\\wh T\\}'$ form a linear manifold $\\wh\\L$ satisfying the condition that every $\\wh X\\in\\"},"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":"2605.23846","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.FA","submitted_at":"2026-05-22T16:58:38Z","cross_cats_sorted":[],"title_canon_sha256":"74aa475753501403135c24f79aedbdaa538d9b360523890d94489da4e838bb06","abstract_canon_sha256":"207128a187df1ab3b476585366c903cc4ff557e6cb1f15aa17f212f620679364"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-25T02:02:35.778043Z","signature_b64":"69r0WdEyzQkkz32TT9Mteux5SfPYLI0Z8umKuM/B25zVYmmWKNhRyZ23MmGRKNzwAjPXcazNNtpTgUdr9KblCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"07e9787741ccc043a5567caa96b8a921edf491d93e8e2997a8fa9a3955579f46","last_reissued_at":"2026-05-25T02:02:35.777339Z","signature_status":"signed_v1","first_computed_at":"2026-05-25T02:02:35.777339Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Adjacent cross-sections of the commutant of Hilbert space operators","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"L\\'aszl\\'o K\\'erchy","submitted_at":"2026-05-22T16:58:38Z","abstract_excerpt":"Applying the techniques resulting the existence of almost invariant half-spaces, similarity models $\\wh T$ can be given for upper triangular operator-matrices $T= \\left[\\begin{matrix}A&C\\\\ 0&B\\end{matrix}\\right]$. The model $\\wh T$ is also an operator-matrix, containing two diagonal operators in the general case \\cite{ker25}, and the unilateral shift $S$ together with a diagonal operator in the particular case when $A$ is similar to $S$ \\cite{ker26}. Well-chosen compressions of operators in the commutant $\\{\\wh T\\}'$ form a linear manifold $\\wh\\L$ satisfying the condition that every $\\wh X\\in\\"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.23846","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2605.23846/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2605.23846","created_at":"2026-05-25T02:02:35.777433+00:00"},{"alias_kind":"arxiv_version","alias_value":"2605.23846v1","created_at":"2026-05-25T02:02:35.777433+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.23846","created_at":"2026-05-25T02:02:35.777433+00:00"},{"alias_kind":"pith_short_12","alias_value":"A7UXQ52BZTAE","created_at":"2026-05-25T02:02:35.777433+00:00"},{"alias_kind":"pith_short_16","alias_value":"A7UXQ52BZTAEHJKW","created_at":"2026-05-25T02:02:35.777433+00:00"},{"alias_kind":"pith_short_8","alias_value":"A7UXQ52B","created_at":"2026-05-25T02:02:35.777433+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/A7UXQ52BZTAEHJKWPSVJNOFJEH","json":"https://pith.science/pith/A7UXQ52BZTAEHJKWPSVJNOFJEH.json","graph_json":"https://pith.science/api/pith-number/A7UXQ52BZTAEHJKWPSVJNOFJEH/graph.json","events_json":"https://pith.science/api/pith-number/A7UXQ52BZTAEHJKWPSVJNOFJEH/events.json","paper":"https://pith.science/paper/A7UXQ52B"},"agent_actions":{"view_html":"https://pith.science/pith/A7UXQ52BZTAEHJKWPSVJNOFJEH","download_json":"https://pith.science/pith/A7UXQ52BZTAEHJKWPSVJNOFJEH.json","view_paper":"https://pith.science/paper/A7UXQ52B","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2605.23846&json=true","fetch_graph":"https://pith.science/api/pith-number/A7UXQ52BZTAEHJKWPSVJNOFJEH/graph.json","fetch_events":"https://pith.science/api/pith-number/A7UXQ52BZTAEHJKWPSVJNOFJEH/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/A7UXQ52BZTAEHJKWPSVJNOFJEH/action/timestamp_anchor","attest_storage":"https://pith.science/pith/A7UXQ52BZTAEHJKWPSVJNOFJEH/action/storage_attestation","attest_author":"https://pith.science/pith/A7UXQ52BZTAEHJKWPSVJNOFJEH/action/author_attestation","sign_citation":"https://pith.science/pith/A7UXQ52BZTAEHJKWPSVJNOFJEH/action/citation_signature","submit_replication":"https://pith.science/pith/A7UXQ52BZTAEHJKWPSVJNOFJEH/action/replication_record"}},"created_at":"2026-05-25T02:02:35.777433+00:00","updated_at":"2026-05-25T02:02:35.777433+00:00"}