{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:B3INLGZNCO6EKDF54KT5HDZTOW","short_pith_number":"pith:B3INLGZN","schema_version":"1.0","canonical_sha256":"0ed0d59b2d13bc450cbde2a7d38f3375a30303e1d814d1671e3636b0296c642c","source":{"kind":"arxiv","id":"1612.07168","version":1},"attestation_state":"computed","paper":{"title":"Model-order reduction of lumped parameter systems via fractional calculus","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Fabio Semperlotti, John P. Hollkamp, Mihir Sen","submitted_at":"2016-12-20T14:52:54Z","abstract_excerpt":"This study investigates the use of fractional order differential models to simulate the dynamic response of non-homogeneous discrete systems and to achieve efficient and accurate model order reduction. The traditional integer order approach to the simulation of non-homogeneous systems dictates the use of numerical solutions and often imposes stringent compromises between accuracy and computational performance. Fractional calculus provides an alternative approach where complex dynamical systems can be modeled with compact fractional equations that not only can still guarantee analytical solutio"},"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":"1612.07168","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2016-12-20T14:52:54Z","cross_cats_sorted":[],"title_canon_sha256":"a19ac9abefa7f3a5cdbbc829ed19340bb2c8c8299667505dfcfd468907a57959","abstract_canon_sha256":"12a6359696ad6dfcfe29faaf3fb6485603e75bfdce273e5096ca84d85d7bd1d8"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:54:14.516920Z","signature_b64":"jJ6dTBB8bH77VToUvhLiiIom7mEcUcXEobFbwmgab5MdVtkGPkSJUy0QuAH5vWPGEAku8E81vayzcsHzjVCkBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0ed0d59b2d13bc450cbde2a7d38f3375a30303e1d814d1671e3636b0296c642c","last_reissued_at":"2026-05-18T00:54:14.516393Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:54:14.516393Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Model-order reduction of lumped parameter systems via fractional calculus","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Fabio Semperlotti, John P. Hollkamp, Mihir Sen","submitted_at":"2016-12-20T14:52:54Z","abstract_excerpt":"This study investigates the use of fractional order differential models to simulate the dynamic response of non-homogeneous discrete systems and to achieve efficient and accurate model order reduction. The traditional integer order approach to the simulation of non-homogeneous systems dictates the use of numerical solutions and often imposes stringent compromises between accuracy and computational performance. Fractional calculus provides an alternative approach where complex dynamical systems can be modeled with compact fractional equations that not only can still guarantee analytical solutio"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1612.07168","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":"1612.07168","created_at":"2026-05-18T00:54:14.516470+00:00"},{"alias_kind":"arxiv_version","alias_value":"1612.07168v1","created_at":"2026-05-18T00:54:14.516470+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1612.07168","created_at":"2026-05-18T00:54:14.516470+00:00"},{"alias_kind":"pith_short_12","alias_value":"B3INLGZNCO6E","created_at":"2026-05-18T12:30:07.202191+00:00"},{"alias_kind":"pith_short_16","alias_value":"B3INLGZNCO6EKDF5","created_at":"2026-05-18T12:30:07.202191+00:00"},{"alias_kind":"pith_short_8","alias_value":"B3INLGZN","created_at":"2026-05-18T12:30:07.202191+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/B3INLGZNCO6EKDF54KT5HDZTOW","json":"https://pith.science/pith/B3INLGZNCO6EKDF54KT5HDZTOW.json","graph_json":"https://pith.science/api/pith-number/B3INLGZNCO6EKDF54KT5HDZTOW/graph.json","events_json":"https://pith.science/api/pith-number/B3INLGZNCO6EKDF54KT5HDZTOW/events.json","paper":"https://pith.science/paper/B3INLGZN"},"agent_actions":{"view_html":"https://pith.science/pith/B3INLGZNCO6EKDF54KT5HDZTOW","download_json":"https://pith.science/pith/B3INLGZNCO6EKDF54KT5HDZTOW.json","view_paper":"https://pith.science/paper/B3INLGZN","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1612.07168&json=true","fetch_graph":"https://pith.science/api/pith-number/B3INLGZNCO6EKDF54KT5HDZTOW/graph.json","fetch_events":"https://pith.science/api/pith-number/B3INLGZNCO6EKDF54KT5HDZTOW/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/B3INLGZNCO6EKDF54KT5HDZTOW/action/timestamp_anchor","attest_storage":"https://pith.science/pith/B3INLGZNCO6EKDF54KT5HDZTOW/action/storage_attestation","attest_author":"https://pith.science/pith/B3INLGZNCO6EKDF54KT5HDZTOW/action/author_attestation","sign_citation":"https://pith.science/pith/B3INLGZNCO6EKDF54KT5HDZTOW/action/citation_signature","submit_replication":"https://pith.science/pith/B3INLGZNCO6EKDF54KT5HDZTOW/action/replication_record"}},"created_at":"2026-05-18T00:54:14.516470+00:00","updated_at":"2026-05-18T00:54:14.516470+00:00"}