{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:GJXJTGWVB6ATHOX4WIJA4LSUOU","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"a346485888fd8fe22eaa24b58b89672b19b83a2aec3228be61625ce350a8feb3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.ed-ph","submitted_at":"2016-07-25T21:42:51Z","title_canon_sha256":"d4733398321cbf86d877fc6838b6716a37d12d165134ba775b77df7db126012c"},"schema_version":"1.0","source":{"id":"1607.07493","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1607.07493","created_at":"2026-05-18T01:10:28Z"},{"alias_kind":"arxiv_version","alias_value":"1607.07493v1","created_at":"2026-05-18T01:10:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1607.07493","created_at":"2026-05-18T01:10:28Z"},{"alias_kind":"pith_short_12","alias_value":"GJXJTGWVB6AT","created_at":"2026-05-18T12:30:19Z"},{"alias_kind":"pith_short_16","alias_value":"GJXJTGWVB6ATHOX4","created_at":"2026-05-18T12:30:19Z"},{"alias_kind":"pith_short_8","alias_value":"GJXJTGWV","created_at":"2026-05-18T12:30:19Z"}],"graph_snapshots":[{"event_id":"sha256:f0be214fe32a293e387fca8804fd2157b1da3628e3e59618d87521108fb70cfe","target":"graph","created_at":"2026-05-18T01:10:28Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"We investigate how students solve partial differential equations and partial derivatives in the context of quantum mechanics. We use the resources framework to investigate students' discussion in a group problem-solving environment to investigate the fine-grain elements of their problem solving. We analyze an example of students' use of separation of variables to solve a partial differential equation for a free particle problem. We identify a mathematical action called \"pulling out\" as a procedural resource to help students with separating the time part from the space part of the wave function","authors_text":"Bahar Modir, Eleanor C Sayre","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.ed-ph","submitted_at":"2016-07-25T21:42:51Z","title":"\"Pulling out\" as a procedural resource when solving partial differential equations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1607.07493","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:35d2004bb4a6429a28a344684df4ea66c04af376962e179c742716f1a1acf068","target":"record","created_at":"2026-05-18T01:10:28Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"a346485888fd8fe22eaa24b58b89672b19b83a2aec3228be61625ce350a8feb3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.ed-ph","submitted_at":"2016-07-25T21:42:51Z","title_canon_sha256":"d4733398321cbf86d877fc6838b6716a37d12d165134ba775b77df7db126012c"},"schema_version":"1.0","source":{"id":"1607.07493","kind":"arxiv","version":1}},"canonical_sha256":"326e999ad50f8133bafcb2120e2e547521ab502dc8df52ea5bfeaed5b8d77d5a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"326e999ad50f8133bafcb2120e2e547521ab502dc8df52ea5bfeaed5b8d77d5a","first_computed_at":"2026-05-18T01:10:28.453225Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:10:28.453225Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"V8Mlwj1ucILSfOBxb+7WRfesDpriPjTC+9woCIDDItAl4rHZ2kKJrUgi5gR4ZX/gqOtU781SkefMmAnQCSvdCg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:10:28.453637Z","signed_message":"canonical_sha256_bytes"},"source_id":"1607.07493","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:35d2004bb4a6429a28a344684df4ea66c04af376962e179c742716f1a1acf068","sha256:f0be214fe32a293e387fca8804fd2157b1da3628e3e59618d87521108fb70cfe"],"state_sha256":"117ea699cb37428373d8d752c9a0f6e9dd0976a8d622041187d6ec5c1a3d86e4"}