{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:POKNNQYXAR4PGOA7A6FVSCE7NM","short_pith_number":"pith:POKNNQYX","schema_version":"1.0","canonical_sha256":"7b94d6c3170478f3381f078b59089f6b01f8ac99a0d4c4b60c981cd458f43434","source":{"kind":"arxiv","id":"1507.08044","version":1},"attestation_state":"computed","paper":{"title":"Sensing and Control in Symmetric Networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Michael Dellnitz, Stefan Klus","submitted_at":"2015-07-29T08:02:02Z","abstract_excerpt":"In engineering applications, one of the major challenges today is to develop reliable and robust control algorithms for complex networked systems. Controllability and observability of such systems play a crucial role in the design process. The underlying network structure may contain symmetries -- caused for example by the coupling of identical building blocks -- and these symmetries lead to repeated eigenvalues in a generic way. This complicates the design of controllers since repeated eigenvalues might decrease the controllability of the system. In this paper, we will analyze the relationshi"},"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":"1507.08044","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2015-07-29T08:02:02Z","cross_cats_sorted":[],"title_canon_sha256":"d36706f0f900b493bd2b4b7e28775018ddf70d5c868df895041c86505c39cf8d","abstract_canon_sha256":"79fbc1818daffe4ec00047f26b54859a482d57db3c4e1f89e3f65fc6b0bcafc8"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:59:34.758954Z","signature_b64":"ucMGkp/aE/G2Ti8gsFOW/pIXjEvhstNRSlvwymPZ5UyJSAvD7dwLtPRSoUbcdtouuDV3LRNmu2ZxYUTKx79ZCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7b94d6c3170478f3381f078b59089f6b01f8ac99a0d4c4b60c981cd458f43434","last_reissued_at":"2026-05-18T00:59:34.758303Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:59:34.758303Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Sensing and Control in Symmetric Networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Michael Dellnitz, Stefan Klus","submitted_at":"2015-07-29T08:02:02Z","abstract_excerpt":"In engineering applications, one of the major challenges today is to develop reliable and robust control algorithms for complex networked systems. Controllability and observability of such systems play a crucial role in the design process. The underlying network structure may contain symmetries -- caused for example by the coupling of identical building blocks -- and these symmetries lead to repeated eigenvalues in a generic way. This complicates the design of controllers since repeated eigenvalues might decrease the controllability of the system. In this paper, we will analyze the relationshi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1507.08044","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":"1507.08044","created_at":"2026-05-18T00:59:34.758432+00:00"},{"alias_kind":"arxiv_version","alias_value":"1507.08044v1","created_at":"2026-05-18T00:59:34.758432+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1507.08044","created_at":"2026-05-18T00:59:34.758432+00:00"},{"alias_kind":"pith_short_12","alias_value":"POKNNQYXAR4P","created_at":"2026-05-18T12:29:37.295048+00:00"},{"alias_kind":"pith_short_16","alias_value":"POKNNQYXAR4PGOA7","created_at":"2026-05-18T12:29:37.295048+00:00"},{"alias_kind":"pith_short_8","alias_value":"POKNNQYX","created_at":"2026-05-18T12:29:37.295048+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/POKNNQYXAR4PGOA7A6FVSCE7NM","json":"https://pith.science/pith/POKNNQYXAR4PGOA7A6FVSCE7NM.json","graph_json":"https://pith.science/api/pith-number/POKNNQYXAR4PGOA7A6FVSCE7NM/graph.json","events_json":"https://pith.science/api/pith-number/POKNNQYXAR4PGOA7A6FVSCE7NM/events.json","paper":"https://pith.science/paper/POKNNQYX"},"agent_actions":{"view_html":"https://pith.science/pith/POKNNQYXAR4PGOA7A6FVSCE7NM","download_json":"https://pith.science/pith/POKNNQYXAR4PGOA7A6FVSCE7NM.json","view_paper":"https://pith.science/paper/POKNNQYX","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1507.08044&json=true","fetch_graph":"https://pith.science/api/pith-number/POKNNQYXAR4PGOA7A6FVSCE7NM/graph.json","fetch_events":"https://pith.science/api/pith-number/POKNNQYXAR4PGOA7A6FVSCE7NM/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/POKNNQYXAR4PGOA7A6FVSCE7NM/action/timestamp_anchor","attest_storage":"https://pith.science/pith/POKNNQYXAR4PGOA7A6FVSCE7NM/action/storage_attestation","attest_author":"https://pith.science/pith/POKNNQYXAR4PGOA7A6FVSCE7NM/action/author_attestation","sign_citation":"https://pith.science/pith/POKNNQYXAR4PGOA7A6FVSCE7NM/action/citation_signature","submit_replication":"https://pith.science/pith/POKNNQYXAR4PGOA7A6FVSCE7NM/action/replication_record"}},"created_at":"2026-05-18T00:59:34.758432+00:00","updated_at":"2026-05-18T00:59:34.758432+00:00"}