{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:IYCTUW2ZN722FS6V7OQVRISZD2","short_pith_number":"pith:IYCTUW2Z","canonical_record":{"source":{"id":"1711.00521","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2017-11-01T19:43:08Z","cross_cats_sorted":["math.OA"],"title_canon_sha256":"b9a8f01e39345c098ea9fca5b4203a2efe6ce7031986125a8a4ca934bfc9df14","abstract_canon_sha256":"663ba3a4156bc2859715e0eb61346daee994fe7518d50caaf66ad0744ffd1b79"},"schema_version":"1.0"},"canonical_sha256":"46053a5b596ff5a2cbd5fba158a2591e82aac2c008beb360e1e231c5e33e1ddd","source":{"kind":"arxiv","id":"1711.00521","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1711.00521","created_at":"2026-05-18T00:31:30Z"},{"alias_kind":"arxiv_version","alias_value":"1711.00521v1","created_at":"2026-05-18T00:31:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1711.00521","created_at":"2026-05-18T00:31:30Z"},{"alias_kind":"pith_short_12","alias_value":"IYCTUW2ZN722","created_at":"2026-05-18T12:31:21Z"},{"alias_kind":"pith_short_16","alias_value":"IYCTUW2ZN722FS6V","created_at":"2026-05-18T12:31:21Z"},{"alias_kind":"pith_short_8","alias_value":"IYCTUW2Z","created_at":"2026-05-18T12:31:21Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:IYCTUW2ZN722FS6V7OQVRISZD2","target":"record","payload":{"canonical_record":{"source":{"id":"1711.00521","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2017-11-01T19:43:08Z","cross_cats_sorted":["math.OA"],"title_canon_sha256":"b9a8f01e39345c098ea9fca5b4203a2efe6ce7031986125a8a4ca934bfc9df14","abstract_canon_sha256":"663ba3a4156bc2859715e0eb61346daee994fe7518d50caaf66ad0744ffd1b79"},"schema_version":"1.0"},"canonical_sha256":"46053a5b596ff5a2cbd5fba158a2591e82aac2c008beb360e1e231c5e33e1ddd","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:31:30.366961Z","signature_b64":"ZhkXzNixnR8J3i/ej6IG5EhM7f9vadPw1GHfUGlz0C6I8XOZxVyvCVwSO/uEQ+1bQH/T9c3ChcCxRqJumfZbDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"46053a5b596ff5a2cbd5fba158a2591e82aac2c008beb360e1e231c5e33e1ddd","last_reissued_at":"2026-05-18T00:31:30.366209Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:31:30.366209Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1711.00521","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:31:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9nIFWeb+YcL5Ssrj20Mkw1esnEjtoTnKXGLashx4a9ndAOuUxDKzBBSpKjxnFtn7ObnaCGM0kNRXMb7uCf0qAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T19:59:58.088255Z"},"content_sha256":"c0376496a3466cc022ba87da3e245ced662665d67fdbffc1f466967af138b147","schema_version":"1.0","event_id":"sha256:c0376496a3466cc022ba87da3e245ced662665d67fdbffc1f466967af138b147"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:IYCTUW2ZN722FS6V7OQVRISZD2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Maximality of Linear Operators","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.OA"],"primary_cat":"math.FA","authors_text":"Mohammed Hichem Mortad, Mohammed Meziane","submitted_at":"2017-11-01T19:43:08Z","abstract_excerpt":"We present maximality results in the setting of non necessarily bounded operators. In particular, we discuss and establish results showing when the \"inclusion\" between operators becomes a full equality."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.00521","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:31:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OOte7Ag2oXfMO+P0fYJPykVpLumPtg0QaQGWOgw14U6Wp4rv2j3ipMLNNy2bFgzMgCGv8p4RuE9nZHLhyVmfAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T19:59:58.088902Z"},"content_sha256":"31ebbf29e85af6dd01a8eb3ec393cc8330a34c97f321327d8633730f4f5c685a","schema_version":"1.0","event_id":"sha256:31ebbf29e85af6dd01a8eb3ec393cc8330a34c97f321327d8633730f4f5c685a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/IYCTUW2ZN722FS6V7OQVRISZD2/bundle.json","state_url":"https://pith.science/pith/IYCTUW2ZN722FS6V7OQVRISZD2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/IYCTUW2ZN722FS6V7OQVRISZD2/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-30T19:59:58Z","links":{"resolver":"https://pith.science/pith/IYCTUW2ZN722FS6V7OQVRISZD2","bundle":"https://pith.science/pith/IYCTUW2ZN722FS6V7OQVRISZD2/bundle.json","state":"https://pith.science/pith/IYCTUW2ZN722FS6V7OQVRISZD2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/IYCTUW2ZN722FS6V7OQVRISZD2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:IYCTUW2ZN722FS6V7OQVRISZD2","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":"663ba3a4156bc2859715e0eb61346daee994fe7518d50caaf66ad0744ffd1b79","cross_cats_sorted":["math.OA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2017-11-01T19:43:08Z","title_canon_sha256":"b9a8f01e39345c098ea9fca5b4203a2efe6ce7031986125a8a4ca934bfc9df14"},"schema_version":"1.0","source":{"id":"1711.00521","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1711.00521","created_at":"2026-05-18T00:31:30Z"},{"alias_kind":"arxiv_version","alias_value":"1711.00521v1","created_at":"2026-05-18T00:31:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1711.00521","created_at":"2026-05-18T00:31:30Z"},{"alias_kind":"pith_short_12","alias_value":"IYCTUW2ZN722","created_at":"2026-05-18T12:31:21Z"},{"alias_kind":"pith_short_16","alias_value":"IYCTUW2ZN722FS6V","created_at":"2026-05-18T12:31:21Z"},{"alias_kind":"pith_short_8","alias_value":"IYCTUW2Z","created_at":"2026-05-18T12:31:21Z"}],"graph_snapshots":[{"event_id":"sha256:31ebbf29e85af6dd01a8eb3ec393cc8330a34c97f321327d8633730f4f5c685a","target":"graph","created_at":"2026-05-18T00:31:30Z","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":"We present maximality results in the setting of non necessarily bounded operators. In particular, we discuss and establish results showing when the \"inclusion\" between operators becomes a full equality.","authors_text":"Mohammed Hichem Mortad, Mohammed Meziane","cross_cats":["math.OA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2017-11-01T19:43:08Z","title":"Maximality of Linear Operators"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.00521","kind":"arxiv","version":1},"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:c0376496a3466cc022ba87da3e245ced662665d67fdbffc1f466967af138b147","target":"record","created_at":"2026-05-18T00:31:30Z","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":"663ba3a4156bc2859715e0eb61346daee994fe7518d50caaf66ad0744ffd1b79","cross_cats_sorted":["math.OA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2017-11-01T19:43:08Z","title_canon_sha256":"b9a8f01e39345c098ea9fca5b4203a2efe6ce7031986125a8a4ca934bfc9df14"},"schema_version":"1.0","source":{"id":"1711.00521","kind":"arxiv","version":1}},"canonical_sha256":"46053a5b596ff5a2cbd5fba158a2591e82aac2c008beb360e1e231c5e33e1ddd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"46053a5b596ff5a2cbd5fba158a2591e82aac2c008beb360e1e231c5e33e1ddd","first_computed_at":"2026-05-18T00:31:30.366209Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:31:30.366209Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ZhkXzNixnR8J3i/ej6IG5EhM7f9vadPw1GHfUGlz0C6I8XOZxVyvCVwSO/uEQ+1bQH/T9c3ChcCxRqJumfZbDA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:31:30.366961Z","signed_message":"canonical_sha256_bytes"},"source_id":"1711.00521","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c0376496a3466cc022ba87da3e245ced662665d67fdbffc1f466967af138b147","sha256:31ebbf29e85af6dd01a8eb3ec393cc8330a34c97f321327d8633730f4f5c685a"],"state_sha256":"4350873f6bdee8745f1a6e0d1f8bb8853c5e81195f59aa2c893d9dbe32c2a83a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"aDEhoozwU1DK+cUpB07bnhJkJuGMHzYlo957hpVsrZxfIcXMc/nFWa72iW0BL3vg6hF636GrX1/Xs/WLS4KDCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T19:59:58.092191Z","bundle_sha256":"bc799bbb5e4b92fde53aa3ebb2bdea7aefbe598d653de6f9570408f2a7511412"}}