{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:NYO7UMEUQWVAIGAIJSBJIFPKOX","short_pith_number":"pith:NYO7UMEU","canonical_record":{"source":{"id":"2302.12929","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.SY","submitted_at":"2023-02-24T23:04:10Z","cross_cats_sorted":["cs.SY","math.OC"],"title_canon_sha256":"6f856ddaa1d3baca17f80214e17cc0a982f37d4fa19ea830fdf4e085e2cf2640","abstract_canon_sha256":"387f07b26eb38b48abf0ee4db5f8349d30274efd0caae958bb3b73cbdafb6aa2"},"schema_version":"1.0"},"canonical_sha256":"6e1dfa309485aa0418084c829415ea75d5170f3cc187f72cddd35c4de6cc4de1","source":{"kind":"arxiv","id":"2302.12929","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2302.12929","created_at":"2026-07-05T05:45:40Z"},{"alias_kind":"arxiv_version","alias_value":"2302.12929v1","created_at":"2026-07-05T05:45:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2302.12929","created_at":"2026-07-05T05:45:40Z"},{"alias_kind":"pith_short_12","alias_value":"NYO7UMEUQWVA","created_at":"2026-07-05T05:45:40Z"},{"alias_kind":"pith_short_16","alias_value":"NYO7UMEUQWVAIGAI","created_at":"2026-07-05T05:45:40Z"},{"alias_kind":"pith_short_8","alias_value":"NYO7UMEU","created_at":"2026-07-05T05:45:40Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:NYO7UMEUQWVAIGAIJSBJIFPKOX","target":"record","payload":{"canonical_record":{"source":{"id":"2302.12929","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.SY","submitted_at":"2023-02-24T23:04:10Z","cross_cats_sorted":["cs.SY","math.OC"],"title_canon_sha256":"6f856ddaa1d3baca17f80214e17cc0a982f37d4fa19ea830fdf4e085e2cf2640","abstract_canon_sha256":"387f07b26eb38b48abf0ee4db5f8349d30274efd0caae958bb3b73cbdafb6aa2"},"schema_version":"1.0"},"canonical_sha256":"6e1dfa309485aa0418084c829415ea75d5170f3cc187f72cddd35c4de6cc4de1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T05:45:40.913466Z","signature_b64":"evajYreReSix3SQRGrrJPuTUdm/UK6w7gReViDESTOnBZJfsuZr56HeAv8rYOoGcOjpBUEXGyfYOo74Z8UiFBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6e1dfa309485aa0418084c829415ea75d5170f3cc187f72cddd35c4de6cc4de1","last_reissued_at":"2026-07-05T05:45:40.913114Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T05:45:40.913114Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2302.12929","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":"2026-07-05T05:45:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"557J14Xaq277uIF3g3ZF4KxDpWsRJ6Yh+G+3HmEpDAWuKe4HRYe9DCnAL1qdkAMZaywj25xDTgdGmDtoebBmDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T12:27:43.510643Z"},"content_sha256":"6e16deba058f2ebd08f7f5b3d0b774865a90974617e161bd568739ea3a80a2bb","schema_version":"1.0","event_id":"sha256:6e16deba058f2ebd08f7f5b3d0b774865a90974617e161bd568739ea3a80a2bb"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:NYO7UMEUQWVAIGAIJSBJIFPKOX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Diagonally Square Root Integrable Kernels in System Identification","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.SY","math.OC"],"primary_cat":"eess.SY","authors_text":"Mohammad Khosravi, Roy S. Smith","submitted_at":"2023-02-24T23:04:10Z","abstract_excerpt":"In recent years, the reproducing kernel Hilbert space (RKHS) theory has played a crucial role in linear system identification. The core of a RKHS is the associated kernel characterizing its properties. Accordingly, this work studies the class of diagonally square root integrable (DSRI) kernels. We demonstrate that various well-known stable kernels introduced in system identification belong to this category. Moreover, it is shown that any DSRI kernel is also stable and integrable. We look into certain topological features of the RKHSs associated with DSRI kernels, particularly the continuity of"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2302.12929","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/2302.12929/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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T05:45:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1kBMxRqVHsz7A84uE/X1MyvWPRaTPZTTZXN7nvYmuSEn7MSseoaP/xUCx8OZZ9sr/S+V2b6xoL+7WfrkDcezDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T12:27:43.511184Z"},"content_sha256":"481bc8ab6daec05f42aa1fa0e4e4f5ce5cf6e1a35636910da12e40651d0f862b","schema_version":"1.0","event_id":"sha256:481bc8ab6daec05f42aa1fa0e4e4f5ce5cf6e1a35636910da12e40651d0f862b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/NYO7UMEUQWVAIGAIJSBJIFPKOX/bundle.json","state_url":"https://pith.science/pith/NYO7UMEUQWVAIGAIJSBJIFPKOX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/NYO7UMEUQWVAIGAIJSBJIFPKOX/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":"2026-08-11T12:27:43Z","links":{"resolver":"https://pith.science/pith/NYO7UMEUQWVAIGAIJSBJIFPKOX","bundle":"https://pith.science/pith/NYO7UMEUQWVAIGAIJSBJIFPKOX/bundle.json","state":"https://pith.science/pith/NYO7UMEUQWVAIGAIJSBJIFPKOX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/NYO7UMEUQWVAIGAIJSBJIFPKOX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:NYO7UMEUQWVAIGAIJSBJIFPKOX","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":"387f07b26eb38b48abf0ee4db5f8349d30274efd0caae958bb3b73cbdafb6aa2","cross_cats_sorted":["cs.SY","math.OC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.SY","submitted_at":"2023-02-24T23:04:10Z","title_canon_sha256":"6f856ddaa1d3baca17f80214e17cc0a982f37d4fa19ea830fdf4e085e2cf2640"},"schema_version":"1.0","source":{"id":"2302.12929","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2302.12929","created_at":"2026-07-05T05:45:40Z"},{"alias_kind":"arxiv_version","alias_value":"2302.12929v1","created_at":"2026-07-05T05:45:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2302.12929","created_at":"2026-07-05T05:45:40Z"},{"alias_kind":"pith_short_12","alias_value":"NYO7UMEUQWVA","created_at":"2026-07-05T05:45:40Z"},{"alias_kind":"pith_short_16","alias_value":"NYO7UMEUQWVAIGAI","created_at":"2026-07-05T05:45:40Z"},{"alias_kind":"pith_short_8","alias_value":"NYO7UMEU","created_at":"2026-07-05T05:45:40Z"}],"graph_snapshots":[{"event_id":"sha256:481bc8ab6daec05f42aa1fa0e4e4f5ce5cf6e1a35636910da12e40651d0f862b","target":"graph","created_at":"2026-07-05T05:45:40Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2302.12929/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In recent years, the reproducing kernel Hilbert space (RKHS) theory has played a crucial role in linear system identification. The core of a RKHS is the associated kernel characterizing its properties. Accordingly, this work studies the class of diagonally square root integrable (DSRI) kernels. We demonstrate that various well-known stable kernels introduced in system identification belong to this category. Moreover, it is shown that any DSRI kernel is also stable and integrable. We look into certain topological features of the RKHSs associated with DSRI kernels, particularly the continuity of","authors_text":"Mohammad Khosravi, Roy S. Smith","cross_cats":["cs.SY","math.OC"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.SY","submitted_at":"2023-02-24T23:04:10Z","title":"Diagonally Square Root Integrable Kernels in System Identification"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2302.12929","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":"sha256:6e16deba058f2ebd08f7f5b3d0b774865a90974617e161bd568739ea3a80a2bb","target":"record","created_at":"2026-07-05T05:45:40Z","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":"387f07b26eb38b48abf0ee4db5f8349d30274efd0caae958bb3b73cbdafb6aa2","cross_cats_sorted":["cs.SY","math.OC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.SY","submitted_at":"2023-02-24T23:04:10Z","title_canon_sha256":"6f856ddaa1d3baca17f80214e17cc0a982f37d4fa19ea830fdf4e085e2cf2640"},"schema_version":"1.0","source":{"id":"2302.12929","kind":"arxiv","version":1}},"canonical_sha256":"6e1dfa309485aa0418084c829415ea75d5170f3cc187f72cddd35c4de6cc4de1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6e1dfa309485aa0418084c829415ea75d5170f3cc187f72cddd35c4de6cc4de1","first_computed_at":"2026-07-05T05:45:40.913114Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:45:40.913114Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"evajYreReSix3SQRGrrJPuTUdm/UK6w7gReViDESTOnBZJfsuZr56HeAv8rYOoGcOjpBUEXGyfYOo74Z8UiFBg==","signature_status":"signed_v1","signed_at":"2026-07-05T05:45:40.913466Z","signed_message":"canonical_sha256_bytes"},"source_id":"2302.12929","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6e16deba058f2ebd08f7f5b3d0b774865a90974617e161bd568739ea3a80a2bb","sha256:481bc8ab6daec05f42aa1fa0e4e4f5ce5cf6e1a35636910da12e40651d0f862b"],"state_sha256":"0bd57f25d4995267dcfa982ecc0872140a3fdf172e88d1dc4a12e3291ac08cfe"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rUL9LZvquz9Rhxlv1NYdIlGOjXoDu1MEp8TRtSLLoYqt+AHuqPolZjP0NLY4iLZcuJ7OUDt586BYCncTTyOwCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-11T12:27:43.518128Z","bundle_sha256":"e11a7170c88010c66ded13d4505f90acf0c705548ea4aad8af74e2537a2be3bb"}}