{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:6Q76KQ42YCJBIQEUULLITSKVVL","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":"6ab3b0901b065388ccb5ce611d4f4d8c60bf7820ebf11f2425ab7a2d00e02139","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2012-10-30T23:07:42Z","title_canon_sha256":"c1aa6659103e3757eba1379900d618d664d81ab4c6c0aef1491912570140089d"},"schema_version":"1.0","source":{"id":"1210.8194","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1210.8194","created_at":"2026-05-18T02:35:52Z"},{"alias_kind":"arxiv_version","alias_value":"1210.8194v3","created_at":"2026-05-18T02:35:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1210.8194","created_at":"2026-05-18T02:35:52Z"},{"alias_kind":"pith_short_12","alias_value":"6Q76KQ42YCJB","created_at":"2026-05-18T12:26:56Z"},{"alias_kind":"pith_short_16","alias_value":"6Q76KQ42YCJBIQEU","created_at":"2026-05-18T12:26:56Z"},{"alias_kind":"pith_short_8","alias_value":"6Q76KQ42","created_at":"2026-05-18T12:26:56Z"}],"graph_snapshots":[{"event_id":"sha256:9eecfe0f81e2f1f3be8e7b38bcc651296a3ca42c09ab893448b0fcd39ecc375b","target":"graph","created_at":"2026-05-18T02:35:52Z","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":"This paper proposes the design of Fractional Order (FO) Butterworth filter in complex w-plane (w=sq; q being any real number) considering the presence of under-damped, hyper-damped, ultra-damped poles. This is the first attempt to design such fractional Butterworth filters in complex w-plane instead of complex s-plane, as conventionally done for integer order filters. Firstly, the concept of fractional derivatives and w-plane stability of linear fractional order systems are discussed. Detailed mathematical formulation for the design of fractional Butterworth-like filter (FBWF) in w-plane is th","authors_text":"Anish Acharya, Indranil Pan, Saptarshi Das, Shantanu Das","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2012-10-30T23:07:42Z","title":"Extending the Concept of Analog Butterworth Filter for Fractional Order Systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1210.8194","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:d805650fe80b1d7eba95768394e2ed19485e321dd3c842f703347cc793702583","target":"record","created_at":"2026-05-18T02:35:52Z","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":"6ab3b0901b065388ccb5ce611d4f4d8c60bf7820ebf11f2425ab7a2d00e02139","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2012-10-30T23:07:42Z","title_canon_sha256":"c1aa6659103e3757eba1379900d618d664d81ab4c6c0aef1491912570140089d"},"schema_version":"1.0","source":{"id":"1210.8194","kind":"arxiv","version":3}},"canonical_sha256":"f43fe5439ac092144094a2d689c955aafedf42f8fba12ae4a28911a30285c3af","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f43fe5439ac092144094a2d689c955aafedf42f8fba12ae4a28911a30285c3af","first_computed_at":"2026-05-18T02:35:52.618767Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:35:52.618767Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"OXInL3z8q6jOX0EyAJwgAaWWPW+8I77yLFsCD0FJB+5e2dQD5yHVsIkOXEHSLjdhIyYPV4r/ym/nFyNdzpUKAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:35:52.619185Z","signed_message":"canonical_sha256_bytes"},"source_id":"1210.8194","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d805650fe80b1d7eba95768394e2ed19485e321dd3c842f703347cc793702583","sha256:9eecfe0f81e2f1f3be8e7b38bcc651296a3ca42c09ab893448b0fcd39ecc375b"],"state_sha256":"36656cb1b910a14cdee930f38c9a12239b1ac2d7afa82efd0f7945e25eb3b780"}