{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:HJSYOEZ2SPKWYR7I62ULWZWQCY","short_pith_number":"pith:HJSYOEZ2","canonical_record":{"source":{"id":"1611.09795","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2016-11-29T19:19:22Z","cross_cats_sorted":["cs.SC","math.DS"],"title_canon_sha256":"694d43e0b01a6f0edd90e544ecda831052ae5171794e0c563665ce235a2c34f7","abstract_canon_sha256":"80a8dc89794c74705e5d8ac6410e757ff79b1089af244ccd024730f3aac23432"},"schema_version":"1.0"},"canonical_sha256":"3a6587133a93d56c47e8f6a8bb66d01614e75b1f00a03a0652ec330f61a5378b","source":{"kind":"arxiv","id":"1611.09795","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1611.09795","created_at":"2026-05-18T00:56:12Z"},{"alias_kind":"arxiv_version","alias_value":"1611.09795v1","created_at":"2026-05-18T00:56:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.09795","created_at":"2026-05-18T00:56:12Z"},{"alias_kind":"pith_short_12","alias_value":"HJSYOEZ2SPKW","created_at":"2026-05-18T12:30:19Z"},{"alias_kind":"pith_short_16","alias_value":"HJSYOEZ2SPKWYR7I","created_at":"2026-05-18T12:30:19Z"},{"alias_kind":"pith_short_8","alias_value":"HJSYOEZ2","created_at":"2026-05-18T12:30:19Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:HJSYOEZ2SPKWYR7I62ULWZWQCY","target":"record","payload":{"canonical_record":{"source":{"id":"1611.09795","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2016-11-29T19:19:22Z","cross_cats_sorted":["cs.SC","math.DS"],"title_canon_sha256":"694d43e0b01a6f0edd90e544ecda831052ae5171794e0c563665ce235a2c34f7","abstract_canon_sha256":"80a8dc89794c74705e5d8ac6410e757ff79b1089af244ccd024730f3aac23432"},"schema_version":"1.0"},"canonical_sha256":"3a6587133a93d56c47e8f6a8bb66d01614e75b1f00a03a0652ec330f61a5378b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:56:12.960200Z","signature_b64":"wcWg95fG8kjRddjeuSQy724yRGEWZ/0KwPhVZIVNEdwnG3FOoJJ7dMusfHwZGaUSKpxd6KrS76clpPvYA71RBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3a6587133a93d56c47e8f6a8bb66d01614e75b1f00a03a0652ec330f61a5378b","last_reissued_at":"2026-05-18T00:56:12.959493Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:56:12.959493Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1611.09795","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":"2026-05-18T00:56:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"J/DyipVS5wusMKdzTlzO7S8ewx/vZOQYhmp+agR/HCunBq9DqCIqdmz6nV36fVtXNIOHWeSwekVLfZY6avoPCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T15:49:43.319264Z"},"content_sha256":"4324cae60c98655d99fff9b0b83787a318884116bcbd3f4d91176fe896f40146","schema_version":"1.0","event_id":"sha256:4324cae60c98655d99fff9b0b83787a318884116bcbd3f4d91176fe896f40146"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:HJSYOEZ2SPKWYR7I62ULWZWQCY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Symbolic Representation for Analog Realization of A Family of Fractional Order Controller Structures via Continued Fraction Expansion","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.SC","math.DS"],"primary_cat":"cs.SY","authors_text":"Anindya Pakhira, Indranil Pan, Saptarshi Das, Shantanu Das","submitted_at":"2016-11-29T19:19:22Z","abstract_excerpt":"This paper uses the Continued Fraction Expansion (CFE) method for analog realization of fractional order differ-integrator and few special classes of fractional order (FO) controllers viz. Fractional Order Proportional-Integral-Derivative (FOPID) controller, FO[PD] controller and FO lead-lag compensator. Contemporary researchers have given several formulations for rational approximation of fractional order elements. However, approximation of the controllers studied in this paper, due to having fractional power of a rational transfer function, is not available in analog domain; although its dig"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.09795","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:56:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3ITsMaZQQe9zsXfSSCqFe8q4axl3oMfWacbxyYQnJRAmKFMpxyQw6Ume7IW3WL8JAfvRaZdP+clrXibiCeT0CQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T15:49:43.319635Z"},"content_sha256":"103da63b9b1f636dbd183c43e652fa4e4fed1936dbd7ba736f7c74c3dfad3969","schema_version":"1.0","event_id":"sha256:103da63b9b1f636dbd183c43e652fa4e4fed1936dbd7ba736f7c74c3dfad3969"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HJSYOEZ2SPKWYR7I62ULWZWQCY/bundle.json","state_url":"https://pith.science/pith/HJSYOEZ2SPKWYR7I62ULWZWQCY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HJSYOEZ2SPKWYR7I62ULWZWQCY/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":"2026-06-03T15:49:43Z","links":{"resolver":"https://pith.science/pith/HJSYOEZ2SPKWYR7I62ULWZWQCY","bundle":"https://pith.science/pith/HJSYOEZ2SPKWYR7I62ULWZWQCY/bundle.json","state":"https://pith.science/pith/HJSYOEZ2SPKWYR7I62ULWZWQCY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HJSYOEZ2SPKWYR7I62ULWZWQCY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:HJSYOEZ2SPKWYR7I62ULWZWQCY","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":"80a8dc89794c74705e5d8ac6410e757ff79b1089af244ccd024730f3aac23432","cross_cats_sorted":["cs.SC","math.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2016-11-29T19:19:22Z","title_canon_sha256":"694d43e0b01a6f0edd90e544ecda831052ae5171794e0c563665ce235a2c34f7"},"schema_version":"1.0","source":{"id":"1611.09795","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1611.09795","created_at":"2026-05-18T00:56:12Z"},{"alias_kind":"arxiv_version","alias_value":"1611.09795v1","created_at":"2026-05-18T00:56:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.09795","created_at":"2026-05-18T00:56:12Z"},{"alias_kind":"pith_short_12","alias_value":"HJSYOEZ2SPKW","created_at":"2026-05-18T12:30:19Z"},{"alias_kind":"pith_short_16","alias_value":"HJSYOEZ2SPKWYR7I","created_at":"2026-05-18T12:30:19Z"},{"alias_kind":"pith_short_8","alias_value":"HJSYOEZ2","created_at":"2026-05-18T12:30:19Z"}],"graph_snapshots":[{"event_id":"sha256:103da63b9b1f636dbd183c43e652fa4e4fed1936dbd7ba736f7c74c3dfad3969","target":"graph","created_at":"2026-05-18T00:56:12Z","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 uses the Continued Fraction Expansion (CFE) method for analog realization of fractional order differ-integrator and few special classes of fractional order (FO) controllers viz. Fractional Order Proportional-Integral-Derivative (FOPID) controller, FO[PD] controller and FO lead-lag compensator. Contemporary researchers have given several formulations for rational approximation of fractional order elements. However, approximation of the controllers studied in this paper, due to having fractional power of a rational transfer function, is not available in analog domain; although its dig","authors_text":"Anindya Pakhira, Indranil Pan, Saptarshi Das, Shantanu Das","cross_cats":["cs.SC","math.DS"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2016-11-29T19:19:22Z","title":"Symbolic Representation for Analog Realization of A Family of Fractional Order Controller Structures via Continued Fraction Expansion"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.09795","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":"sha256:4324cae60c98655d99fff9b0b83787a318884116bcbd3f4d91176fe896f40146","target":"record","created_at":"2026-05-18T00:56:12Z","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":"80a8dc89794c74705e5d8ac6410e757ff79b1089af244ccd024730f3aac23432","cross_cats_sorted":["cs.SC","math.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2016-11-29T19:19:22Z","title_canon_sha256":"694d43e0b01a6f0edd90e544ecda831052ae5171794e0c563665ce235a2c34f7"},"schema_version":"1.0","source":{"id":"1611.09795","kind":"arxiv","version":1}},"canonical_sha256":"3a6587133a93d56c47e8f6a8bb66d01614e75b1f00a03a0652ec330f61a5378b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3a6587133a93d56c47e8f6a8bb66d01614e75b1f00a03a0652ec330f61a5378b","first_computed_at":"2026-05-18T00:56:12.959493Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:56:12.959493Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"wcWg95fG8kjRddjeuSQy724yRGEWZ/0KwPhVZIVNEdwnG3FOoJJ7dMusfHwZGaUSKpxd6KrS76clpPvYA71RBw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:56:12.960200Z","signed_message":"canonical_sha256_bytes"},"source_id":"1611.09795","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4324cae60c98655d99fff9b0b83787a318884116bcbd3f4d91176fe896f40146","sha256:103da63b9b1f636dbd183c43e652fa4e4fed1936dbd7ba736f7c74c3dfad3969"],"state_sha256":"dcdcb6d3e0ed746a1fe2a9cc12f62320d60ae0828e39b1e5aa59b1f0fdf35e49"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rc+CluIWydsdmLpjSgP7UvCFlMoK3IpIbmcXMFznJJLjelXpcg2SURyRYm/pkV6cfru4qyEAvPQPsp9T4IXPDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T15:49:43.321779Z","bundle_sha256":"99e9ba75eeddfe60e173282d6dea9f4cc291972984498e8e8a59796c840ef4c9"}}