{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:PSW7F2MDROW4HHGQMWUN57JCFH","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":"ad8e88428ecc878e8130b38164cba581506d1c7af568f22d5b2f3afabbdda81c","cross_cats_sorted":["math.CT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2017-03-30T17:21:53Z","title_canon_sha256":"3e84ea7141a057acf621c63f81ce6e94087a1a7fb98300805fb93d30e0c577b3"},"schema_version":"1.0","source":{"id":"1703.10576","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1703.10576","created_at":"2026-05-18T00:46:18Z"},{"alias_kind":"arxiv_version","alias_value":"1703.10576v2","created_at":"2026-05-18T00:46:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.10576","created_at":"2026-05-18T00:46:18Z"},{"alias_kind":"pith_short_12","alias_value":"PSW7F2MDROW4","created_at":"2026-05-18T12:31:37Z"},{"alias_kind":"pith_short_16","alias_value":"PSW7F2MDROW4HHGQ","created_at":"2026-05-18T12:31:37Z"},{"alias_kind":"pith_short_8","alias_value":"PSW7F2MD","created_at":"2026-05-18T12:31:37Z"}],"graph_snapshots":[{"event_id":"sha256:02955d2a051ebdc20cccd92acb541d786c0b852e96cd5870e17ceb88804a9d14","target":"graph","created_at":"2026-05-18T00:46:18Z","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 present a uniform framework for the treatment of a large class of toy models of quantum theory. Specifically, we will be interested in theories of wavefunctions valued in commutative involutive semirings, and which give rise to some semiring-based notion of classical non-determinism via the Born rule. The models obtained with our construction possess many of the familiar structures used in Categorical Quantum Mechanics. We also provide a bestiary of increasingly exotic examples: some well known, such as real quantum theory and relational quantum theory; some less known, such as hyperbolic q","authors_text":"Stefano Gogioso","cross_cats":["math.CT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2017-03-30T17:21:53Z","title":"Fantastic Quantum Theories and Where to Find Them"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.10576","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":"sha256:68b8272f893cac4bccf04b413fc4d6cf64f8cc62f168d7488a518abf66289dbe","target":"record","created_at":"2026-05-18T00:46:18Z","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":"ad8e88428ecc878e8130b38164cba581506d1c7af568f22d5b2f3afabbdda81c","cross_cats_sorted":["math.CT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2017-03-30T17:21:53Z","title_canon_sha256":"3e84ea7141a057acf621c63f81ce6e94087a1a7fb98300805fb93d30e0c577b3"},"schema_version":"1.0","source":{"id":"1703.10576","kind":"arxiv","version":2}},"canonical_sha256":"7cadf2e9838badc39cd065a8defd2229c1c080ec212c551f93dcd4d06a474727","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7cadf2e9838badc39cd065a8defd2229c1c080ec212c551f93dcd4d06a474727","first_computed_at":"2026-05-18T00:46:18.376668Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:46:18.376668Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"UGVHJv+wW9YwejiS3qwmt2hEobLE/S9ydITvGcHF+9L51plKJDXZ+2QdZaFtAIOopcF4ZJ4aY3cbduOX/OCoDw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:46:18.377117Z","signed_message":"canonical_sha256_bytes"},"source_id":"1703.10576","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:68b8272f893cac4bccf04b413fc4d6cf64f8cc62f168d7488a518abf66289dbe","sha256:02955d2a051ebdc20cccd92acb541d786c0b852e96cd5870e17ceb88804a9d14"],"state_sha256":"8c383f60c333a60b91419b72a70ed1428f507171b9e0082ef3936bea50f77414"}