{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:IHP5RXI7XJRRBLQD66TAP6TOKG","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":"6373181b9658b13045c183345e9c2a2cabe5039dcf783e8745159553a2032209","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.HO","submitted_at":"2018-10-16T07:44:19Z","title_canon_sha256":"32f4591fc1e868541df3e3963f1d6366ae6c80ca5a0caa5576f4348c433adfe8"},"schema_version":"1.0","source":{"id":"1810.06852","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1810.06852","created_at":"2026-05-18T00:03:11Z"},{"alias_kind":"arxiv_version","alias_value":"1810.06852v1","created_at":"2026-05-18T00:03:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1810.06852","created_at":"2026-05-18T00:03:11Z"},{"alias_kind":"pith_short_12","alias_value":"IHP5RXI7XJRR","created_at":"2026-05-18T12:32:31Z"},{"alias_kind":"pith_short_16","alias_value":"IHP5RXI7XJRRBLQD","created_at":"2026-05-18T12:32:31Z"},{"alias_kind":"pith_short_8","alias_value":"IHP5RXI7","created_at":"2026-05-18T12:32:31Z"}],"graph_snapshots":[{"event_id":"sha256:88ba49b45f559cf9e2fc31cafdb0c713f7e33b671624f88a71cd2e9adb79c41d","target":"graph","created_at":"2026-05-18T00:03:11Z","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":"The aim of this article is to give practicing teachers an overview about the theory behind paperfolding, it is my qualifying thesis(Zulassungsarbeit) as a teacher in Germany. It is a survey about the relations between paperfolding and algebra, in particular Galois theory. We develop a system of fundamental foldings for paperfolding, discuss which field can be constructed using these techniques and advance to concrete constructions solving (classical) construction problems. Finally, we think about possible generalisations of the given system of fundamental constructions.\n  Das Ziel dieser Arbei","authors_text":"Kay Paulus","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.HO","submitted_at":"2018-10-16T07:44:19Z","title":"Geometrische Konstruktionen und Origami"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1810.06852","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:cd50e93a614d4ca5e0e19fc08294810656b706113b22706d998df6142d9904be","target":"record","created_at":"2026-05-18T00:03:11Z","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":"6373181b9658b13045c183345e9c2a2cabe5039dcf783e8745159553a2032209","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.HO","submitted_at":"2018-10-16T07:44:19Z","title_canon_sha256":"32f4591fc1e868541df3e3963f1d6366ae6c80ca5a0caa5576f4348c433adfe8"},"schema_version":"1.0","source":{"id":"1810.06852","kind":"arxiv","version":1}},"canonical_sha256":"41dfd8dd1fba6310ae03f7a607fa6e51991205c432c83415f8cc594e1bd5ac9b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"41dfd8dd1fba6310ae03f7a607fa6e51991205c432c83415f8cc594e1bd5ac9b","first_computed_at":"2026-05-18T00:03:11.342420Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:03:11.342420Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Rb6H6wtUVO8srnx32R3R9AOEN0u6qNJqqdS19nZsDV5WKJobMudr7f6Fmhk/Qfy6JPmcmwBY7rYTWJoI7uWDCw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:03:11.343001Z","signed_message":"canonical_sha256_bytes"},"source_id":"1810.06852","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cd50e93a614d4ca5e0e19fc08294810656b706113b22706d998df6142d9904be","sha256:88ba49b45f559cf9e2fc31cafdb0c713f7e33b671624f88a71cd2e9adb79c41d"],"state_sha256":"f1dba16bacd8de8e12d8617c271567d2f27e38698a15eb1827d8fad4f5759937"}