{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:INFHXWNTDZ5VXJEFWJU6DQBO2Z","short_pith_number":"pith:INFHXWNT","schema_version":"1.0","canonical_sha256":"434a7bd9b31e7b5ba485b269e1c02ed6713a08d017d10ae8f210947cb5c4fc3f","source":{"kind":"arxiv","id":"1302.2224","version":1},"attestation_state":"computed","paper":{"title":"Computer-Aided Derivation of Multi-scale Models: A Rewriting Framework","license":"http://creativecommons.org/licenses/by/3.0/","headline":"","cross_cats":[],"primary_cat":"cs.SC","authors_text":"Bin Yang, Michel Lenczner, Walid Belkhir","submitted_at":"2013-02-09T11:56:12Z","abstract_excerpt":"We introduce a framework for computer-aided derivation of multi-scale models. It relies on a combination of an asymptotic method used in the field of partial differential equations with term rewriting techniques coming from computer science.\n  In our approach, a multi-scale model derivation is characterized by the features taken into account in the asymptotic analysis. Its formulation consists in a derivation of a reference model associated to an elementary nominal model, and in a set of transformations to apply to this proof until it takes into account the wanted features. In addition to the "},"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":"1302.2224","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"cs.SC","submitted_at":"2013-02-09T11:56:12Z","cross_cats_sorted":[],"title_canon_sha256":"0416089d8f254d5957090fabe19afd0af650ab058d9c65e42f44bf343afee291","abstract_canon_sha256":"16e4f9a45a2bba93095e8b451f1e602461f175164fb1ca04eb03e9f50cfa7078"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:34:01.944220Z","signature_b64":"fH5WqvoBG3yEmHW0bPln4IiFHCQ0S6woTpjV8TdnMKAnICs59VNT9+sglkNw1PcPodsFGnYhI9w+ZITYWtF/CA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"434a7bd9b31e7b5ba485b269e1c02ed6713a08d017d10ae8f210947cb5c4fc3f","last_reissued_at":"2026-05-18T03:34:01.943620Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:34:01.943620Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Computer-Aided Derivation of Multi-scale Models: A Rewriting Framework","license":"http://creativecommons.org/licenses/by/3.0/","headline":"","cross_cats":[],"primary_cat":"cs.SC","authors_text":"Bin Yang, Michel Lenczner, Walid Belkhir","submitted_at":"2013-02-09T11:56:12Z","abstract_excerpt":"We introduce a framework for computer-aided derivation of multi-scale models. It relies on a combination of an asymptotic method used in the field of partial differential equations with term rewriting techniques coming from computer science.\n  In our approach, a multi-scale model derivation is characterized by the features taken into account in the asymptotic analysis. Its formulation consists in a derivation of a reference model associated to an elementary nominal model, and in a set of transformations to apply to this proof until it takes into account the wanted features. In addition to the "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1302.2224","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":"1302.2224","created_at":"2026-05-18T03:34:01.943708+00:00"},{"alias_kind":"arxiv_version","alias_value":"1302.2224v1","created_at":"2026-05-18T03:34:01.943708+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1302.2224","created_at":"2026-05-18T03:34:01.943708+00:00"},{"alias_kind":"pith_short_12","alias_value":"INFHXWNTDZ5V","created_at":"2026-05-18T12:27:46.883200+00:00"},{"alias_kind":"pith_short_16","alias_value":"INFHXWNTDZ5VXJEF","created_at":"2026-05-18T12:27:46.883200+00:00"},{"alias_kind":"pith_short_8","alias_value":"INFHXWNT","created_at":"2026-05-18T12:27:46.883200+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/INFHXWNTDZ5VXJEFWJU6DQBO2Z","json":"https://pith.science/pith/INFHXWNTDZ5VXJEFWJU6DQBO2Z.json","graph_json":"https://pith.science/api/pith-number/INFHXWNTDZ5VXJEFWJU6DQBO2Z/graph.json","events_json":"https://pith.science/api/pith-number/INFHXWNTDZ5VXJEFWJU6DQBO2Z/events.json","paper":"https://pith.science/paper/INFHXWNT"},"agent_actions":{"view_html":"https://pith.science/pith/INFHXWNTDZ5VXJEFWJU6DQBO2Z","download_json":"https://pith.science/pith/INFHXWNTDZ5VXJEFWJU6DQBO2Z.json","view_paper":"https://pith.science/paper/INFHXWNT","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1302.2224&json=true","fetch_graph":"https://pith.science/api/pith-number/INFHXWNTDZ5VXJEFWJU6DQBO2Z/graph.json","fetch_events":"https://pith.science/api/pith-number/INFHXWNTDZ5VXJEFWJU6DQBO2Z/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/INFHXWNTDZ5VXJEFWJU6DQBO2Z/action/timestamp_anchor","attest_storage":"https://pith.science/pith/INFHXWNTDZ5VXJEFWJU6DQBO2Z/action/storage_attestation","attest_author":"https://pith.science/pith/INFHXWNTDZ5VXJEFWJU6DQBO2Z/action/author_attestation","sign_citation":"https://pith.science/pith/INFHXWNTDZ5VXJEFWJU6DQBO2Z/action/citation_signature","submit_replication":"https://pith.science/pith/INFHXWNTDZ5VXJEFWJU6DQBO2Z/action/replication_record"}},"created_at":"2026-05-18T03:34:01.943708+00:00","updated_at":"2026-05-18T03:34:01.943708+00:00"}