{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:UUUXV2EPZBDEXVSSN4N3TGTA75","short_pith_number":"pith:UUUXV2EP","schema_version":"1.0","canonical_sha256":"a5297ae88fc8464bd6526f1bb99a60ff6372e446afb103653be58959f9daa281","source":{"kind":"arxiv","id":"1803.03170","version":1},"attestation_state":"computed","paper":{"title":"Existence and Uniqueness of Solutions of Nabla Fractional Difference Equations Tending to a Nonnegative Constant","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DS"],"primary_cat":"math.CA","authors_text":"Allan Peterson, Lynn Erbe, Raziye Mert, Thabet Abdeljawad","submitted_at":"2018-03-08T15:48:46Z","abstract_excerpt":"In this paper, we reformulate certain nabla fractional difference equations which had been investigated by other researchers. The previous results seem to be incomplete. By using Contraction Mapping Theorem, we establish conditions under which solutions exist and are unique and have certain asymptotic properties."},"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":"1803.03170","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2018-03-08T15:48:46Z","cross_cats_sorted":["math.DS"],"title_canon_sha256":"c2504bcb10a8a89ae26418862f74a0c86f115b4c4e56017572447e9a5023ce75","abstract_canon_sha256":"d2b4d6bc8d77776508ec7d0688ca1d32908ea3d03c867c52e682fe860a028e8a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:21:44.237771Z","signature_b64":"TyEBSU90Gw9fytRUOtmEQ41Plrm7Qx6fIv7JKYsZkJDlhjuTxPdjTcZkVItcJNGAYZUuylaPCTXK3kgzM8EABw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a5297ae88fc8464bd6526f1bb99a60ff6372e446afb103653be58959f9daa281","last_reissued_at":"2026-05-18T00:21:44.237147Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:21:44.237147Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Existence and Uniqueness of Solutions of Nabla Fractional Difference Equations Tending to a Nonnegative Constant","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DS"],"primary_cat":"math.CA","authors_text":"Allan Peterson, Lynn Erbe, Raziye Mert, Thabet Abdeljawad","submitted_at":"2018-03-08T15:48:46Z","abstract_excerpt":"In this paper, we reformulate certain nabla fractional difference equations which had been investigated by other researchers. The previous results seem to be incomplete. By using Contraction Mapping Theorem, we establish conditions under which solutions exist and are unique and have certain asymptotic properties."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.03170","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":"1803.03170","created_at":"2026-05-18T00:21:44.237262+00:00"},{"alias_kind":"arxiv_version","alias_value":"1803.03170v1","created_at":"2026-05-18T00:21:44.237262+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1803.03170","created_at":"2026-05-18T00:21:44.237262+00:00"},{"alias_kind":"pith_short_12","alias_value":"UUUXV2EPZBDE","created_at":"2026-05-18T12:32:56.356000+00:00"},{"alias_kind":"pith_short_16","alias_value":"UUUXV2EPZBDEXVSS","created_at":"2026-05-18T12:32:56.356000+00:00"},{"alias_kind":"pith_short_8","alias_value":"UUUXV2EP","created_at":"2026-05-18T12:32:56.356000+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/UUUXV2EPZBDEXVSSN4N3TGTA75","json":"https://pith.science/pith/UUUXV2EPZBDEXVSSN4N3TGTA75.json","graph_json":"https://pith.science/api/pith-number/UUUXV2EPZBDEXVSSN4N3TGTA75/graph.json","events_json":"https://pith.science/api/pith-number/UUUXV2EPZBDEXVSSN4N3TGTA75/events.json","paper":"https://pith.science/paper/UUUXV2EP"},"agent_actions":{"view_html":"https://pith.science/pith/UUUXV2EPZBDEXVSSN4N3TGTA75","download_json":"https://pith.science/pith/UUUXV2EPZBDEXVSSN4N3TGTA75.json","view_paper":"https://pith.science/paper/UUUXV2EP","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1803.03170&json=true","fetch_graph":"https://pith.science/api/pith-number/UUUXV2EPZBDEXVSSN4N3TGTA75/graph.json","fetch_events":"https://pith.science/api/pith-number/UUUXV2EPZBDEXVSSN4N3TGTA75/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/UUUXV2EPZBDEXVSSN4N3TGTA75/action/timestamp_anchor","attest_storage":"https://pith.science/pith/UUUXV2EPZBDEXVSSN4N3TGTA75/action/storage_attestation","attest_author":"https://pith.science/pith/UUUXV2EPZBDEXVSSN4N3TGTA75/action/author_attestation","sign_citation":"https://pith.science/pith/UUUXV2EPZBDEXVSSN4N3TGTA75/action/citation_signature","submit_replication":"https://pith.science/pith/UUUXV2EPZBDEXVSSN4N3TGTA75/action/replication_record"}},"created_at":"2026-05-18T00:21:44.237262+00:00","updated_at":"2026-05-18T00:21:44.237262+00:00"}