{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:2T3S7M7LLF6DSBR5E6YMQ5H5TO","short_pith_number":"pith:2T3S7M7L","schema_version":"1.0","canonical_sha256":"d4f72fb3eb597c39063d27b0c874fd9b8b424efe79de5116a88ac249eb2748d2","source":{"kind":"arxiv","id":"1704.06722","version":1},"attestation_state":"computed","paper":{"title":"On a theorem of Terzio\\u{g}lu","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Asuman Guven Aksoy","submitted_at":"2017-04-21T23:09:43Z","abstract_excerpt":"The theory of compact linear operators acting on a Banach space has such a classical core and is familiar to many. Perhaps lesser known is the characterization theorem of Terzio\\u{g}lu for compact maps. In this paper we consider Terzio\\u{g}lu's theorem and its consequences. We also give a similar characterization theorem in case where there is an approximation scheme on the Banach space."},"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":"1704.06722","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2017-04-21T23:09:43Z","cross_cats_sorted":[],"title_canon_sha256":"4b52646f39905a5162243b85df0680367bf98ab50c255d0acb9f96430af42363","abstract_canon_sha256":"1b13723f95f6c3659ab7a55a4873f6c02ad6efd31089ab98ff5f36d9c0de64a8"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:45:57.779257Z","signature_b64":"xtSV2DTW4r8vQtlHF3lJyn04z/3XdGeUO8K3Ngv+eZbJ3WOmxC1Mc8fW7B7knBgm7rkCPsSCXaXlxqeA/fuuCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d4f72fb3eb597c39063d27b0c874fd9b8b424efe79de5116a88ac249eb2748d2","last_reissued_at":"2026-05-18T00:45:57.778712Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:45:57.778712Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On a theorem of Terzio\\u{g}lu","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Asuman Guven Aksoy","submitted_at":"2017-04-21T23:09:43Z","abstract_excerpt":"The theory of compact linear operators acting on a Banach space has such a classical core and is familiar to many. Perhaps lesser known is the characterization theorem of Terzio\\u{g}lu for compact maps. In this paper we consider Terzio\\u{g}lu's theorem and its consequences. We also give a similar characterization theorem in case where there is an approximation scheme on the Banach space."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.06722","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":"1704.06722","created_at":"2026-05-18T00:45:57.778798+00:00"},{"alias_kind":"arxiv_version","alias_value":"1704.06722v1","created_at":"2026-05-18T00:45:57.778798+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1704.06722","created_at":"2026-05-18T00:45:57.778798+00:00"},{"alias_kind":"pith_short_12","alias_value":"2T3S7M7LLF6D","created_at":"2026-05-18T12:30:55.937587+00:00"},{"alias_kind":"pith_short_16","alias_value":"2T3S7M7LLF6DSBR5","created_at":"2026-05-18T12:30:55.937587+00:00"},{"alias_kind":"pith_short_8","alias_value":"2T3S7M7L","created_at":"2026-05-18T12:30:55.937587+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/2T3S7M7LLF6DSBR5E6YMQ5H5TO","json":"https://pith.science/pith/2T3S7M7LLF6DSBR5E6YMQ5H5TO.json","graph_json":"https://pith.science/api/pith-number/2T3S7M7LLF6DSBR5E6YMQ5H5TO/graph.json","events_json":"https://pith.science/api/pith-number/2T3S7M7LLF6DSBR5E6YMQ5H5TO/events.json","paper":"https://pith.science/paper/2T3S7M7L"},"agent_actions":{"view_html":"https://pith.science/pith/2T3S7M7LLF6DSBR5E6YMQ5H5TO","download_json":"https://pith.science/pith/2T3S7M7LLF6DSBR5E6YMQ5H5TO.json","view_paper":"https://pith.science/paper/2T3S7M7L","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1704.06722&json=true","fetch_graph":"https://pith.science/api/pith-number/2T3S7M7LLF6DSBR5E6YMQ5H5TO/graph.json","fetch_events":"https://pith.science/api/pith-number/2T3S7M7LLF6DSBR5E6YMQ5H5TO/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/2T3S7M7LLF6DSBR5E6YMQ5H5TO/action/timestamp_anchor","attest_storage":"https://pith.science/pith/2T3S7M7LLF6DSBR5E6YMQ5H5TO/action/storage_attestation","attest_author":"https://pith.science/pith/2T3S7M7LLF6DSBR5E6YMQ5H5TO/action/author_attestation","sign_citation":"https://pith.science/pith/2T3S7M7LLF6DSBR5E6YMQ5H5TO/action/citation_signature","submit_replication":"https://pith.science/pith/2T3S7M7LLF6DSBR5E6YMQ5H5TO/action/replication_record"}},"created_at":"2026-05-18T00:45:57.778798+00:00","updated_at":"2026-05-18T00:45:57.778798+00:00"}