{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:Q2QNIIGDSMX6IEK3ITIGNODFJW","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":"709c02e5a231fad3bb078cdb02d617dac5107188562b0cbae492e2ac27935465","cross_cats_sorted":["cs.SY","eess.SY"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2020-03-17T17:11:41Z","title_canon_sha256":"be0419c18ea013e05da0d824f1fac9864dd8e12122226ae4d5627b1435ea3013"},"schema_version":"1.0","source":{"id":"2003.08179","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2003.08179","created_at":"2026-07-05T00:49:04Z"},{"alias_kind":"arxiv_version","alias_value":"2003.08179v1","created_at":"2026-07-05T00:49:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2003.08179","created_at":"2026-07-05T00:49:04Z"},{"alias_kind":"pith_short_12","alias_value":"Q2QNIIGDSMX6","created_at":"2026-07-05T00:49:04Z"},{"alias_kind":"pith_short_16","alias_value":"Q2QNIIGDSMX6IEK3","created_at":"2026-07-05T00:49:04Z"},{"alias_kind":"pith_short_8","alias_value":"Q2QNIIGD","created_at":"2026-07-05T00:49:04Z"}],"graph_snapshots":[{"event_id":"sha256:8e406a3d38145d09ed5bb1ee7939fbec1c36c64fd7d1b8ed81808cfe38fac14e","target":"graph","created_at":"2026-07-05T00:49:04Z","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/2003.08179/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We consider the characterization and computation of H-infinity norms for a class of time-delay systems. It is well known that in the finite dimensional case the H-infinity norm of a transfer function can be computed using the connections between the corresponding singular value curves and the imaginary axis eigenvalues of a Hamiltonian matrix, leading to the established level set methods. We show a similar connection between the transfer function of a time-delay system and the imaginary axis eigenvalues of an infinite dimensional linear operator $\\mathcal{L}_{\\xi}^N$. Based on this result, we ","authors_text":"Suat Gumussoy, Wim Michiels","cross_cats":["cs.SY","eess.SY"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2020-03-17T17:11:41Z","title":"Characterization and computation of H-infinity norms for time-delay systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2003.08179","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":"sha256:251d83a68fe9c56d587b2899ccc77917f56f9c46a7ba729cd848152172ee1e2a","target":"record","created_at":"2026-07-05T00:49:04Z","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":"709c02e5a231fad3bb078cdb02d617dac5107188562b0cbae492e2ac27935465","cross_cats_sorted":["cs.SY","eess.SY"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2020-03-17T17:11:41Z","title_canon_sha256":"be0419c18ea013e05da0d824f1fac9864dd8e12122226ae4d5627b1435ea3013"},"schema_version":"1.0","source":{"id":"2003.08179","kind":"arxiv","version":1}},"canonical_sha256":"86a0d420c3932fe4115b44d066b8654dba780e69b1bbb25801895457c3896397","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"86a0d420c3932fe4115b44d066b8654dba780e69b1bbb25801895457c3896397","first_computed_at":"2026-07-05T00:49:04.792978Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:49:04.792978Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+B3bo5Sn1lX2W0ZzzbnlhxI8E/ez6Vr+uflcNGBG/W3eudaX3sY8MS+vdHU+rr+NT5Dho2pty1nD5FGY7KxrCg==","signature_status":"signed_v1","signed_at":"2026-07-05T00:49:04.793355Z","signed_message":"canonical_sha256_bytes"},"source_id":"2003.08179","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:251d83a68fe9c56d587b2899ccc77917f56f9c46a7ba729cd848152172ee1e2a","sha256:8e406a3d38145d09ed5bb1ee7939fbec1c36c64fd7d1b8ed81808cfe38fac14e"],"state_sha256":"2688da152e94f9e722664804edb15dac7f6d7dd55dbf25d2516298ab6f4a23dc"}