{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:MM4DUPVDX6FSKT35HI3UULMLUX","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":"a36311b4691c9e403a1c60738dee1a04ae53602de5346dd8836fd72eb717805b","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.HO","submitted_at":"2023-07-10T15:25:29Z","title_canon_sha256":"39cc0b40fb3e2cae161db86fafb9b230233605c376e6be2549f3e42069c5b040"},"schema_version":"1.0","source":{"id":"2307.04636","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2307.04636","created_at":"2026-07-05T07:28:10Z"},{"alias_kind":"arxiv_version","alias_value":"2307.04636v2","created_at":"2026-07-05T07:28:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2307.04636","created_at":"2026-07-05T07:28:10Z"},{"alias_kind":"pith_short_12","alias_value":"MM4DUPVDX6FS","created_at":"2026-07-05T07:28:10Z"},{"alias_kind":"pith_short_16","alias_value":"MM4DUPVDX6FSKT35","created_at":"2026-07-05T07:28:10Z"},{"alias_kind":"pith_short_8","alias_value":"MM4DUPVD","created_at":"2026-07-05T07:28:10Z"}],"graph_snapshots":[{"event_id":"sha256:ae316b9020b6826a9fa1317e814d78592a5ea658075d72f3a2a8d7e7d5bfb17a","target":"graph","created_at":"2026-07-05T07:28:10Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2307.04636/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Mathematical understanding is built in many ways. Among these, illustration has been a companion and tool for research for as long as research has taken place. We use the term illustration to encompass any way one might bring a mathematical idea into physical form or experience, including hand-made diagrams or models, computer visualization, 3D printing, and virtual reality, among many others. The very process of illustration itself challenges our mathematical understanding and forces us to answer questions we may not have posed otherwise. It can even make mathematics an experimental science, ","authors_text":"Edmund Harriss, Gabriel Dorfsman-Hopkins, Glen Whitney, Katherine E. Stange, Martin Skrodzki, R\\'emi Coulon","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.HO","submitted_at":"2023-07-10T15:25:29Z","title":"On the importance of illustration for mathematical research"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2307.04636","kind":"arxiv","version":2},"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:be4179f7ba392657a2eebfd33e36b79a7ace159e632e2de3751830329184450e","target":"record","created_at":"2026-07-05T07:28:10Z","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":"a36311b4691c9e403a1c60738dee1a04ae53602de5346dd8836fd72eb717805b","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.HO","submitted_at":"2023-07-10T15:25:29Z","title_canon_sha256":"39cc0b40fb3e2cae161db86fafb9b230233605c376e6be2549f3e42069c5b040"},"schema_version":"1.0","source":{"id":"2307.04636","kind":"arxiv","version":2}},"canonical_sha256":"63383a3ea3bf8b254f7d3a374a2d8ba5fbe3eb901d6e2f962cbab7de4a2fad4c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"63383a3ea3bf8b254f7d3a374a2d8ba5fbe3eb901d6e2f962cbab7de4a2fad4c","first_computed_at":"2026-07-05T07:28:10.221361Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T07:28:10.221361Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"zctmuWCxLvuF6QyCiMMNKwhkNcThcJGCQO/0hbP9+xxBBm9D4EogDe66xrWll8mLK7yhiAJ55CmahRTgadxwBg==","signature_status":"signed_v1","signed_at":"2026-07-05T07:28:10.221803Z","signed_message":"canonical_sha256_bytes"},"source_id":"2307.04636","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:be4179f7ba392657a2eebfd33e36b79a7ace159e632e2de3751830329184450e","sha256:ae316b9020b6826a9fa1317e814d78592a5ea658075d72f3a2a8d7e7d5bfb17a"],"state_sha256":"6e862f8febd8ce1b6436a4fb49fe7d33c32102629802fb1acb07c5a72766ceb0"}