{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:VVLO2DO7FAYEO47HFOFE54YXN3","short_pith_number":"pith:VVLO2DO7","schema_version":"1.0","canonical_sha256":"ad56ed0ddf28304773e72b8a4ef3176ecb021c9ceac2e851f163b6e79d9f9373","source":{"kind":"arxiv","id":"1708.08131","version":1},"attestation_state":"computed","paper":{"title":"Asymptotic behavior of solutions of linear multi-order fractional differential equation systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CA","authors_text":"H. T. Tuan, Kai Diethelm, Stefan Siegmund","submitted_at":"2017-08-27T20:14:56Z","abstract_excerpt":"In this paper, we investigate some aspects of the qualitative theory for multi-order fractional differential equation systems. First, we obtain a fundamental result on the existence and uniqueness for multi-order fractional differential equation systems. Next, a representation of solutions of homogeneous linear multi-order fractional differential equation systems in series form is provided. Finally, we give characteristics regarding the asymptotic behavior of solutions to some classes of linear multi-order fractional differential equation systems."},"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":"1708.08131","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2017-08-27T20:14:56Z","cross_cats_sorted":[],"title_canon_sha256":"da74272aada2e8d6b712b9a7ccae1fe696f34919bbfb262d20ad701228119e26","abstract_canon_sha256":"75cd283683c504af0f258ff93c19184cbd21dc35713c654e6ee5270abfa2effa"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:07:28.294079Z","signature_b64":"pIT+cBVU69cS3QPTirBKnzebXFBai44uH4RpuG4ZUYzB0X2opegfVXC+1KlfEYH0iUvYH+7OPLBMuS/W17AUCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ad56ed0ddf28304773e72b8a4ef3176ecb021c9ceac2e851f163b6e79d9f9373","last_reissued_at":"2026-05-18T00:07:28.293437Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:07:28.293437Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Asymptotic behavior of solutions of linear multi-order fractional differential equation systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CA","authors_text":"H. T. Tuan, Kai Diethelm, Stefan Siegmund","submitted_at":"2017-08-27T20:14:56Z","abstract_excerpt":"In this paper, we investigate some aspects of the qualitative theory for multi-order fractional differential equation systems. First, we obtain a fundamental result on the existence and uniqueness for multi-order fractional differential equation systems. Next, a representation of solutions of homogeneous linear multi-order fractional differential equation systems in series form is provided. Finally, we give characteristics regarding the asymptotic behavior of solutions to some classes of linear multi-order fractional differential equation systems."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.08131","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":"1708.08131","created_at":"2026-05-18T00:07:28.293515+00:00"},{"alias_kind":"arxiv_version","alias_value":"1708.08131v1","created_at":"2026-05-18T00:07:28.293515+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1708.08131","created_at":"2026-05-18T00:07:28.293515+00:00"},{"alias_kind":"pith_short_12","alias_value":"VVLO2DO7FAYE","created_at":"2026-05-18T12:31:49.984773+00:00"},{"alias_kind":"pith_short_16","alias_value":"VVLO2DO7FAYEO47H","created_at":"2026-05-18T12:31:49.984773+00:00"},{"alias_kind":"pith_short_8","alias_value":"VVLO2DO7","created_at":"2026-05-18T12:31:49.984773+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/VVLO2DO7FAYEO47HFOFE54YXN3","json":"https://pith.science/pith/VVLO2DO7FAYEO47HFOFE54YXN3.json","graph_json":"https://pith.science/api/pith-number/VVLO2DO7FAYEO47HFOFE54YXN3/graph.json","events_json":"https://pith.science/api/pith-number/VVLO2DO7FAYEO47HFOFE54YXN3/events.json","paper":"https://pith.science/paper/VVLO2DO7"},"agent_actions":{"view_html":"https://pith.science/pith/VVLO2DO7FAYEO47HFOFE54YXN3","download_json":"https://pith.science/pith/VVLO2DO7FAYEO47HFOFE54YXN3.json","view_paper":"https://pith.science/paper/VVLO2DO7","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1708.08131&json=true","fetch_graph":"https://pith.science/api/pith-number/VVLO2DO7FAYEO47HFOFE54YXN3/graph.json","fetch_events":"https://pith.science/api/pith-number/VVLO2DO7FAYEO47HFOFE54YXN3/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/VVLO2DO7FAYEO47HFOFE54YXN3/action/timestamp_anchor","attest_storage":"https://pith.science/pith/VVLO2DO7FAYEO47HFOFE54YXN3/action/storage_attestation","attest_author":"https://pith.science/pith/VVLO2DO7FAYEO47HFOFE54YXN3/action/author_attestation","sign_citation":"https://pith.science/pith/VVLO2DO7FAYEO47HFOFE54YXN3/action/citation_signature","submit_replication":"https://pith.science/pith/VVLO2DO7FAYEO47HFOFE54YXN3/action/replication_record"}},"created_at":"2026-05-18T00:07:28.293515+00:00","updated_at":"2026-05-18T00:07:28.293515+00:00"}