{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:SREQQ2FSOKMMWVN2O4XKLXITSV","short_pith_number":"pith:SREQQ2FS","canonical_record":{"source":{"id":"1712.06511","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2017-12-18T16:46:11Z","cross_cats_sorted":[],"title_canon_sha256":"d8e2e2dad3912c4f388672e8cd74d59cd5bd9872120477262ce37a6ff6c4ed27","abstract_canon_sha256":"9f9bf9ceecb29aee413fb52b7219ee1c5cfc0862950055e96e1f159cf3478197"},"schema_version":"1.0"},"canonical_sha256":"94490868b27298cb55ba772ea5dd139556e265e207e4d2064b0fa2fe14093165","source":{"kind":"arxiv","id":"1712.06511","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1712.06511","created_at":"2026-05-18T00:01:23Z"},{"alias_kind":"arxiv_version","alias_value":"1712.06511v3","created_at":"2026-05-18T00:01:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1712.06511","created_at":"2026-05-18T00:01:23Z"},{"alias_kind":"pith_short_12","alias_value":"SREQQ2FSOKMM","created_at":"2026-05-18T12:31:43Z"},{"alias_kind":"pith_short_16","alias_value":"SREQQ2FSOKMMWVN2","created_at":"2026-05-18T12:31:43Z"},{"alias_kind":"pith_short_8","alias_value":"SREQQ2FS","created_at":"2026-05-18T12:31:43Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:SREQQ2FSOKMMWVN2O4XKLXITSV","target":"record","payload":{"canonical_record":{"source":{"id":"1712.06511","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2017-12-18T16:46:11Z","cross_cats_sorted":[],"title_canon_sha256":"d8e2e2dad3912c4f388672e8cd74d59cd5bd9872120477262ce37a6ff6c4ed27","abstract_canon_sha256":"9f9bf9ceecb29aee413fb52b7219ee1c5cfc0862950055e96e1f159cf3478197"},"schema_version":"1.0"},"canonical_sha256":"94490868b27298cb55ba772ea5dd139556e265e207e4d2064b0fa2fe14093165","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:01:23.512183Z","signature_b64":"hSrYRUaIAbLRdU1NYb9dnZ25EGK7R5W09xgRFziNwo6TEysJmld+g62QX85Z5OHaQ+I5Qv2xiOb7rmYqf03rCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"94490868b27298cb55ba772ea5dd139556e265e207e4d2064b0fa2fe14093165","last_reissued_at":"2026-05-18T00:01:23.511781Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:01:23.511781Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1712.06511","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:01:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YsVUNku2z9Z4vDH/vpylrWUbvzAN3XNinYAkSxg5kA37xcZFjTTq9wbKTGLumcs7gMT6qvDW5US/XG3d38+NAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-29T15:42:12.449242Z"},"content_sha256":"1cd6fcd1e073f1a3b9218b8400e095b0cb4f5a419d2c8c10d60aae8bab0ad8fe","schema_version":"1.0","event_id":"sha256:1cd6fcd1e073f1a3b9218b8400e095b0cb4f5a419d2c8c10d60aae8bab0ad8fe"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:SREQQ2FSOKMMWVN2O4XKLXITSV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Sensor Selection via Randomized Sampling","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.SY","authors_text":"Shaunak D. Bopardikar","submitted_at":"2017-12-18T16:46:11Z","abstract_excerpt":"Given a linear dynamical system, we consider the problem of constructing an approximate system using only a subset of the sensors out of the total set such that the observability Gramian of the new system is approximately equal to that of the original system. Our contributions are as follows. First, we present a randomized algorithm that samples the sensors with replacement as per specified distributions. For specific metrics of the observability Gramian such as the trace or the maximum eigenvalue, we derive novel bounds on the number of samples required to yield a high probability lower bound"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1712.06511","kind":"arxiv","version":3},"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":"2026-05-18T00:01:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EyDI/dlv1pkF3gdQoMaqpm0SVlO+YkUmHbfIh8QeXKskBksReazJ0uDIfdmVecSzTbxKyknArmpNwEnWpmWWBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-29T15:42:12.449932Z"},"content_sha256":"d216c56d0c763a7cc00d9fd7a94d5c81f709886bfdf0353e7a4fed51ad39499f","schema_version":"1.0","event_id":"sha256:d216c56d0c763a7cc00d9fd7a94d5c81f709886bfdf0353e7a4fed51ad39499f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SREQQ2FSOKMMWVN2O4XKLXITSV/bundle.json","state_url":"https://pith.science/pith/SREQQ2FSOKMMWVN2O4XKLXITSV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SREQQ2FSOKMMWVN2O4XKLXITSV/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":"2026-05-29T15:42:12Z","links":{"resolver":"https://pith.science/pith/SREQQ2FSOKMMWVN2O4XKLXITSV","bundle":"https://pith.science/pith/SREQQ2FSOKMMWVN2O4XKLXITSV/bundle.json","state":"https://pith.science/pith/SREQQ2FSOKMMWVN2O4XKLXITSV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SREQQ2FSOKMMWVN2O4XKLXITSV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:SREQQ2FSOKMMWVN2O4XKLXITSV","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":"9f9bf9ceecb29aee413fb52b7219ee1c5cfc0862950055e96e1f159cf3478197","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2017-12-18T16:46:11Z","title_canon_sha256":"d8e2e2dad3912c4f388672e8cd74d59cd5bd9872120477262ce37a6ff6c4ed27"},"schema_version":"1.0","source":{"id":"1712.06511","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1712.06511","created_at":"2026-05-18T00:01:23Z"},{"alias_kind":"arxiv_version","alias_value":"1712.06511v3","created_at":"2026-05-18T00:01:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1712.06511","created_at":"2026-05-18T00:01:23Z"},{"alias_kind":"pith_short_12","alias_value":"SREQQ2FSOKMM","created_at":"2026-05-18T12:31:43Z"},{"alias_kind":"pith_short_16","alias_value":"SREQQ2FSOKMMWVN2","created_at":"2026-05-18T12:31:43Z"},{"alias_kind":"pith_short_8","alias_value":"SREQQ2FS","created_at":"2026-05-18T12:31:43Z"}],"graph_snapshots":[{"event_id":"sha256:d216c56d0c763a7cc00d9fd7a94d5c81f709886bfdf0353e7a4fed51ad39499f","target":"graph","created_at":"2026-05-18T00:01:23Z","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":"Given a linear dynamical system, we consider the problem of constructing an approximate system using only a subset of the sensors out of the total set such that the observability Gramian of the new system is approximately equal to that of the original system. Our contributions are as follows. First, we present a randomized algorithm that samples the sensors with replacement as per specified distributions. For specific metrics of the observability Gramian such as the trace or the maximum eigenvalue, we derive novel bounds on the number of samples required to yield a high probability lower bound","authors_text":"Shaunak D. Bopardikar","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2017-12-18T16:46:11Z","title":"Sensor Selection via Randomized Sampling"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1712.06511","kind":"arxiv","version":3},"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":"sha256:1cd6fcd1e073f1a3b9218b8400e095b0cb4f5a419d2c8c10d60aae8bab0ad8fe","target":"record","created_at":"2026-05-18T00:01:23Z","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":"9f9bf9ceecb29aee413fb52b7219ee1c5cfc0862950055e96e1f159cf3478197","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2017-12-18T16:46:11Z","title_canon_sha256":"d8e2e2dad3912c4f388672e8cd74d59cd5bd9872120477262ce37a6ff6c4ed27"},"schema_version":"1.0","source":{"id":"1712.06511","kind":"arxiv","version":3}},"canonical_sha256":"94490868b27298cb55ba772ea5dd139556e265e207e4d2064b0fa2fe14093165","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"94490868b27298cb55ba772ea5dd139556e265e207e4d2064b0fa2fe14093165","first_computed_at":"2026-05-18T00:01:23.511781Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:01:23.511781Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hSrYRUaIAbLRdU1NYb9dnZ25EGK7R5W09xgRFziNwo6TEysJmld+g62QX85Z5OHaQ+I5Qv2xiOb7rmYqf03rCg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:01:23.512183Z","signed_message":"canonical_sha256_bytes"},"source_id":"1712.06511","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1cd6fcd1e073f1a3b9218b8400e095b0cb4f5a419d2c8c10d60aae8bab0ad8fe","sha256:d216c56d0c763a7cc00d9fd7a94d5c81f709886bfdf0353e7a4fed51ad39499f"],"state_sha256":"a2a1dfbf569c9382af3a2da3f59216a0d9c5734edf85b7a987637d4fe14c023b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ncib25UL0vKXXypLK1jDLIqsGe7doz4nsP3IWw8df9udlz/sFU144MiDm5Qfxx8hZyucjimkUDnBzvZbja+tAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-29T15:42:12.453361Z","bundle_sha256":"6ba73f9e56ceddbcca9425d76e32d27f15fd8d98388bc033dffb1331060493e3"}}