{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:VYQSVRGPPPGSCAFYCF2EBBKUXU","short_pith_number":"pith:VYQSVRGP","schema_version":"1.0","canonical_sha256":"ae212ac4cf7bcd2100b81174408554bd0c0869b91c1e66d4c9170864332db569","source":{"kind":"arxiv","id":"1608.03077","version":2},"attestation_state":"computed","paper":{"title":"Fractional-compact numerical algorithms for Riesz spatial fractional reaction-dispersion equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Changpin Li, Hengfei Ding","submitted_at":"2016-08-10T08:25:26Z","abstract_excerpt":"It is well known that using high-order numerical algorithms to solve fractional differential equations leads to almost the same computational cost with low-order ones but the accuracy (or convergence order) is greatly improved, due to the nonlocal properties of fractional operators. Therefore, developing some high-order numerical approximation formulas for fractional derivatives play a more important role in numerically solving fractional differential equations. This paper focuses on constructing (generalized) high-order fractional-compact numerical approximation formulas for Riesz derivatives"},"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":"1608.03077","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2016-08-10T08:25:26Z","cross_cats_sorted":[],"title_canon_sha256":"90e986f4be0b4e1b5332879238a88477764af4434089f2fa79da597b1ceddb81","abstract_canon_sha256":"8d7d2a6f2d75bb080c677c06947fd0d9fa0cb0f5fa05ac236326a98d3f60dc0b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:43:48.069838Z","signature_b64":"6s3xB1ZInOPXEXCWpT33a31bnl0japgeh2Uz3lGUw4ME5EuKwOkzWH15ig8F0CiqPjs/tSugAN/ptIamP8CGAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ae212ac4cf7bcd2100b81174408554bd0c0869b91c1e66d4c9170864332db569","last_reissued_at":"2026-05-18T00:43:48.069151Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:43:48.069151Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Fractional-compact numerical algorithms for Riesz spatial fractional reaction-dispersion equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Changpin Li, Hengfei Ding","submitted_at":"2016-08-10T08:25:26Z","abstract_excerpt":"It is well known that using high-order numerical algorithms to solve fractional differential equations leads to almost the same computational cost with low-order ones but the accuracy (or convergence order) is greatly improved, due to the nonlocal properties of fractional operators. Therefore, developing some high-order numerical approximation formulas for fractional derivatives play a more important role in numerically solving fractional differential equations. This paper focuses on constructing (generalized) high-order fractional-compact numerical approximation formulas for Riesz derivatives"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1608.03077","kind":"arxiv","version":2},"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":"1608.03077","created_at":"2026-05-18T00:43:48.069261+00:00"},{"alias_kind":"arxiv_version","alias_value":"1608.03077v2","created_at":"2026-05-18T00:43:48.069261+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1608.03077","created_at":"2026-05-18T00:43:48.069261+00:00"},{"alias_kind":"pith_short_12","alias_value":"VYQSVRGPPPGS","created_at":"2026-05-18T12:30:48.956258+00:00"},{"alias_kind":"pith_short_16","alias_value":"VYQSVRGPPPGSCAFY","created_at":"2026-05-18T12:30:48.956258+00:00"},{"alias_kind":"pith_short_8","alias_value":"VYQSVRGP","created_at":"2026-05-18T12:30:48.956258+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/VYQSVRGPPPGSCAFYCF2EBBKUXU","json":"https://pith.science/pith/VYQSVRGPPPGSCAFYCF2EBBKUXU.json","graph_json":"https://pith.science/api/pith-number/VYQSVRGPPPGSCAFYCF2EBBKUXU/graph.json","events_json":"https://pith.science/api/pith-number/VYQSVRGPPPGSCAFYCF2EBBKUXU/events.json","paper":"https://pith.science/paper/VYQSVRGP"},"agent_actions":{"view_html":"https://pith.science/pith/VYQSVRGPPPGSCAFYCF2EBBKUXU","download_json":"https://pith.science/pith/VYQSVRGPPPGSCAFYCF2EBBKUXU.json","view_paper":"https://pith.science/paper/VYQSVRGP","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1608.03077&json=true","fetch_graph":"https://pith.science/api/pith-number/VYQSVRGPPPGSCAFYCF2EBBKUXU/graph.json","fetch_events":"https://pith.science/api/pith-number/VYQSVRGPPPGSCAFYCF2EBBKUXU/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/VYQSVRGPPPGSCAFYCF2EBBKUXU/action/timestamp_anchor","attest_storage":"https://pith.science/pith/VYQSVRGPPPGSCAFYCF2EBBKUXU/action/storage_attestation","attest_author":"https://pith.science/pith/VYQSVRGPPPGSCAFYCF2EBBKUXU/action/author_attestation","sign_citation":"https://pith.science/pith/VYQSVRGPPPGSCAFYCF2EBBKUXU/action/citation_signature","submit_replication":"https://pith.science/pith/VYQSVRGPPPGSCAFYCF2EBBKUXU/action/replication_record"}},"created_at":"2026-05-18T00:43:48.069261+00:00","updated_at":"2026-05-18T00:43:48.069261+00:00"}