{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:6VNZREJ3OGDFGR6KND6UC2VFAL","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":"606c9fa3f1bfeacf37eea1e07365c335f23ea7667d6c35ed56b19f22b214f103","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.HO","submitted_at":"2014-01-04T17:14:39Z","title_canon_sha256":"2b057bf1b3dc0bb9bcdcb37cd3267831b012f23231363387d5a74e30a30f9e38"},"schema_version":"1.0","source":{"id":"1401.0828","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1401.0828","created_at":"2026-05-18T03:03:11Z"},{"alias_kind":"arxiv_version","alias_value":"1401.0828v1","created_at":"2026-05-18T03:03:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1401.0828","created_at":"2026-05-18T03:03:11Z"},{"alias_kind":"pith_short_12","alias_value":"6VNZREJ3OGDF","created_at":"2026-05-18T12:28:16Z"},{"alias_kind":"pith_short_16","alias_value":"6VNZREJ3OGDFGR6K","created_at":"2026-05-18T12:28:16Z"},{"alias_kind":"pith_short_8","alias_value":"6VNZREJ3","created_at":"2026-05-18T12:28:16Z"}],"graph_snapshots":[{"event_id":"sha256:dc5bf218ce18984f09accae2f78bc04a511a6c04ffb7a0ccadea4e52d34a58ef","target":"graph","created_at":"2026-05-18T03:03:11Z","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":"I describe some deep-seated problems in higher mathematical education, and give some ideas for their solution -- I advocate a move away from the traditional introduction of mathematics through calculus, and towards computation and discrete mathematics.","authors_text":"Igor Rivin","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.HO","submitted_at":"2014-01-04T17:14:39Z","title":"Some Thoughts on the Teaching of Mathematics -- ten years later"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1401.0828","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":"sha256:74dbc212fd130ccb4192177a2efc5cd637fbaf9af5ce59b0ac69acf2461f9b65","target":"record","created_at":"2026-05-18T03:03:11Z","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":"606c9fa3f1bfeacf37eea1e07365c335f23ea7667d6c35ed56b19f22b214f103","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.HO","submitted_at":"2014-01-04T17:14:39Z","title_canon_sha256":"2b057bf1b3dc0bb9bcdcb37cd3267831b012f23231363387d5a74e30a30f9e38"},"schema_version":"1.0","source":{"id":"1401.0828","kind":"arxiv","version":1}},"canonical_sha256":"f55b98913b71865347ca68fd416aa502ddd33fa6d73aa465d11630f023d7603e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f55b98913b71865347ca68fd416aa502ddd33fa6d73aa465d11630f023d7603e","first_computed_at":"2026-05-18T03:03:11.849030Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:03:11.849030Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"K6gWzeBRlz6sqsfT8QVm840tRHezktYYT6VGR0tnZThDWKdZ21a2EGVp00oB3MyHZkg5MMT946TLUx7Q2/+DBA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:03:11.849832Z","signed_message":"canonical_sha256_bytes"},"source_id":"1401.0828","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:74dbc212fd130ccb4192177a2efc5cd637fbaf9af5ce59b0ac69acf2461f9b65","sha256:dc5bf218ce18984f09accae2f78bc04a511a6c04ffb7a0ccadea4e52d34a58ef"],"state_sha256":"22c5e0a02905778fb522bcf4c3d27e58059b23eeceb3fa3a7c832ec0057a7e22"}