{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:T6DISGLINXMLCGOJAVO4T6EGTR","short_pith_number":"pith:T6DISGLI","schema_version":"1.0","canonical_sha256":"9f868919686dd8b119c9055dc9f8869c612937df450ea2c307a16f3d1573b21b","source":{"kind":"arxiv","id":"1102.3453","version":2},"attestation_state":"computed","paper":{"title":"How students blend conceptual and formal mathematical reasoning in solving physics problems","license":"http://creativecommons.org/licenses/by/3.0/","headline":"","cross_cats":[],"primary_cat":"physics.ed-ph","authors_text":"Andrew Elby, Ayush Gupta, Eric Kuo, Michael M. Hull","submitted_at":"2011-02-16T23:17:23Z","abstract_excerpt":"Current conceptions of expert problem solving depict physical/conceptual reasoning and formal mathematical reasoning as separate steps: a good problem solver first translates a physical Current conceptions of quantitative problem-solving expertise in physics incorporate conceptual reasoning in two ways: for selecting relevant equations (before manipulating them), and for checking whether a given quantitative solution is reasonable (after manipulating the equations). We make the case that problem-solving expertise should include opportunistically blending conceptual and formal mathematical reas"},"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":"1102.3453","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"physics.ed-ph","submitted_at":"2011-02-16T23:17:23Z","cross_cats_sorted":[],"title_canon_sha256":"9f644b6165b308abbb85c007988e48f25e20076fba00c0b4e17df21c536b0d14","abstract_canon_sha256":"522946f50ea9219886307870f3b7c10b294c59e9c2a30cf9950b0e40d4e30418"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:05:26.495379Z","signature_b64":"a8kC6RC+rPHCz9ihaAjApNrDJlNd/Jx+rBdLNPtRRZZM8Hpnc9V2biXTjp90tNgKbIFNObAkhv+OYlxN8UWvDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9f868919686dd8b119c9055dc9f8869c612937df450ea2c307a16f3d1573b21b","last_reissued_at":"2026-05-18T03:05:26.494694Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:05:26.494694Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"How students blend conceptual and formal mathematical reasoning in solving physics problems","license":"http://creativecommons.org/licenses/by/3.0/","headline":"","cross_cats":[],"primary_cat":"physics.ed-ph","authors_text":"Andrew Elby, Ayush Gupta, Eric Kuo, Michael M. Hull","submitted_at":"2011-02-16T23:17:23Z","abstract_excerpt":"Current conceptions of expert problem solving depict physical/conceptual reasoning and formal mathematical reasoning as separate steps: a good problem solver first translates a physical Current conceptions of quantitative problem-solving expertise in physics incorporate conceptual reasoning in two ways: for selecting relevant equations (before manipulating them), and for checking whether a given quantitative solution is reasonable (after manipulating the equations). We make the case that problem-solving expertise should include opportunistically blending conceptual and formal mathematical reas"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1102.3453","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":"1102.3453","created_at":"2026-05-18T03:05:26.494821+00:00"},{"alias_kind":"arxiv_version","alias_value":"1102.3453v2","created_at":"2026-05-18T03:05:26.494821+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1102.3453","created_at":"2026-05-18T03:05:26.494821+00:00"},{"alias_kind":"pith_short_12","alias_value":"T6DISGLINXML","created_at":"2026-05-18T12:26:41.206345+00:00"},{"alias_kind":"pith_short_16","alias_value":"T6DISGLINXMLCGOJ","created_at":"2026-05-18T12:26:41.206345+00:00"},{"alias_kind":"pith_short_8","alias_value":"T6DISGLI","created_at":"2026-05-18T12:26:41.206345+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/T6DISGLINXMLCGOJAVO4T6EGTR","json":"https://pith.science/pith/T6DISGLINXMLCGOJAVO4T6EGTR.json","graph_json":"https://pith.science/api/pith-number/T6DISGLINXMLCGOJAVO4T6EGTR/graph.json","events_json":"https://pith.science/api/pith-number/T6DISGLINXMLCGOJAVO4T6EGTR/events.json","paper":"https://pith.science/paper/T6DISGLI"},"agent_actions":{"view_html":"https://pith.science/pith/T6DISGLINXMLCGOJAVO4T6EGTR","download_json":"https://pith.science/pith/T6DISGLINXMLCGOJAVO4T6EGTR.json","view_paper":"https://pith.science/paper/T6DISGLI","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1102.3453&json=true","fetch_graph":"https://pith.science/api/pith-number/T6DISGLINXMLCGOJAVO4T6EGTR/graph.json","fetch_events":"https://pith.science/api/pith-number/T6DISGLINXMLCGOJAVO4T6EGTR/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/T6DISGLINXMLCGOJAVO4T6EGTR/action/timestamp_anchor","attest_storage":"https://pith.science/pith/T6DISGLINXMLCGOJAVO4T6EGTR/action/storage_attestation","attest_author":"https://pith.science/pith/T6DISGLINXMLCGOJAVO4T6EGTR/action/author_attestation","sign_citation":"https://pith.science/pith/T6DISGLINXMLCGOJAVO4T6EGTR/action/citation_signature","submit_replication":"https://pith.science/pith/T6DISGLINXMLCGOJAVO4T6EGTR/action/replication_record"}},"created_at":"2026-05-18T03:05:26.494821+00:00","updated_at":"2026-05-18T03:05:26.494821+00:00"}