{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:KVHATH7Q4B6ZHFRSONNR5RXVY3","short_pith_number":"pith:KVHATH7Q","canonical_record":{"source":{"id":"1406.4635","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2014-06-18T08:34:49Z","cross_cats_sorted":[],"title_canon_sha256":"1595d62cd2375ac1e9491671a211e4627b6221de1a0d783a3168b38e3a580a4b","abstract_canon_sha256":"7f13feb65bbe33b898748cc24f961eb094456f003e8d4f967b57619da326364e"},"schema_version":"1.0"},"canonical_sha256":"554e099ff0e07d939632735b1ec6f5c6f9271d185820acb5f1ae76d4ad4f9348","source":{"kind":"arxiv","id":"1406.4635","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1406.4635","created_at":"2026-05-18T02:49:31Z"},{"alias_kind":"arxiv_version","alias_value":"1406.4635v1","created_at":"2026-05-18T02:49:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.4635","created_at":"2026-05-18T02:49:31Z"},{"alias_kind":"pith_short_12","alias_value":"KVHATH7Q4B6Z","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_16","alias_value":"KVHATH7Q4B6ZHFRS","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_8","alias_value":"KVHATH7Q","created_at":"2026-05-18T12:28:35Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:KVHATH7Q4B6ZHFRSONNR5RXVY3","target":"record","payload":{"canonical_record":{"source":{"id":"1406.4635","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2014-06-18T08:34:49Z","cross_cats_sorted":[],"title_canon_sha256":"1595d62cd2375ac1e9491671a211e4627b6221de1a0d783a3168b38e3a580a4b","abstract_canon_sha256":"7f13feb65bbe33b898748cc24f961eb094456f003e8d4f967b57619da326364e"},"schema_version":"1.0"},"canonical_sha256":"554e099ff0e07d939632735b1ec6f5c6f9271d185820acb5f1ae76d4ad4f9348","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:49:31.096198Z","signature_b64":"+U5sEAefHN0RDfNHRMNY3RyT/chW58DOcSda008TEynjJzodTGnQITBGcNlMFLFND2NG23b0RfsRQeVfhLc5CQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"554e099ff0e07d939632735b1ec6f5c6f9271d185820acb5f1ae76d4ad4f9348","last_reissued_at":"2026-05-18T02:49:31.095748Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:49:31.095748Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1406.4635","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:49:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fGfL9nKGq9Qd13sxSBKAa55GYWmT+v8kgLTAuatHYNXPGWciCqP9Yxp204xGe/2MaRwS8DH7mwDcZ5g6ILZtBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T18:33:22.583848Z"},"content_sha256":"9d5e770ce64d7b5175bac0c3e9ff684c80d9a767a787b1563bcfbd1dcad6e2ee","schema_version":"1.0","event_id":"sha256:9d5e770ce64d7b5175bac0c3e9ff684c80d9a767a787b1563bcfbd1dcad6e2ee"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:KVHATH7Q4B6ZHFRSONNR5RXVY3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Continuous structures of quantum circuits","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.LO","authors_text":"Aleksander Ivanov","submitted_at":"2014-06-18T08:34:49Z","abstract_excerpt":"We consider continuous structures which are obtained from finite dimensional Hilbert spaces over $\\mathbb{C}$ by adding some unitary operators. Quantum automata and quantum circuits are naturally interpretable in such structures. We consider appropriate algorithmic problems concerning continuous theories of natural classes of these structures."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.4635","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:49:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3Ri+zsOvxNPK9QwytHBK3fB26KFaUBJc+8mn7F+eEH7abQcnrFEZYkhBKiLSp782vIgQfSTTNEaCkvet1KMBAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T18:33:22.584526Z"},"content_sha256":"0b313c0290f8576c19e5a02abcf4344d0a5453272b898dc3e496b4779211e587","schema_version":"1.0","event_id":"sha256:0b313c0290f8576c19e5a02abcf4344d0a5453272b898dc3e496b4779211e587"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KVHATH7Q4B6ZHFRSONNR5RXVY3/bundle.json","state_url":"https://pith.science/pith/KVHATH7Q4B6ZHFRSONNR5RXVY3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KVHATH7Q4B6ZHFRSONNR5RXVY3/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-09T18:33:22Z","links":{"resolver":"https://pith.science/pith/KVHATH7Q4B6ZHFRSONNR5RXVY3","bundle":"https://pith.science/pith/KVHATH7Q4B6ZHFRSONNR5RXVY3/bundle.json","state":"https://pith.science/pith/KVHATH7Q4B6ZHFRSONNR5RXVY3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KVHATH7Q4B6ZHFRSONNR5RXVY3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:KVHATH7Q4B6ZHFRSONNR5RXVY3","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":"7f13feb65bbe33b898748cc24f961eb094456f003e8d4f967b57619da326364e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2014-06-18T08:34:49Z","title_canon_sha256":"1595d62cd2375ac1e9491671a211e4627b6221de1a0d783a3168b38e3a580a4b"},"schema_version":"1.0","source":{"id":"1406.4635","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1406.4635","created_at":"2026-05-18T02:49:31Z"},{"alias_kind":"arxiv_version","alias_value":"1406.4635v1","created_at":"2026-05-18T02:49:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.4635","created_at":"2026-05-18T02:49:31Z"},{"alias_kind":"pith_short_12","alias_value":"KVHATH7Q4B6Z","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_16","alias_value":"KVHATH7Q4B6ZHFRS","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_8","alias_value":"KVHATH7Q","created_at":"2026-05-18T12:28:35Z"}],"graph_snapshots":[{"event_id":"sha256:0b313c0290f8576c19e5a02abcf4344d0a5453272b898dc3e496b4779211e587","target":"graph","created_at":"2026-05-18T02:49:31Z","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 consider continuous structures which are obtained from finite dimensional Hilbert spaces over $\\mathbb{C}$ by adding some unitary operators. Quantum automata and quantum circuits are naturally interpretable in such structures. We consider appropriate algorithmic problems concerning continuous theories of natural classes of these structures.","authors_text":"Aleksander Ivanov","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2014-06-18T08:34:49Z","title":"Continuous structures of quantum circuits"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.4635","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":"sha256:9d5e770ce64d7b5175bac0c3e9ff684c80d9a767a787b1563bcfbd1dcad6e2ee","target":"record","created_at":"2026-05-18T02:49:31Z","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":"7f13feb65bbe33b898748cc24f961eb094456f003e8d4f967b57619da326364e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2014-06-18T08:34:49Z","title_canon_sha256":"1595d62cd2375ac1e9491671a211e4627b6221de1a0d783a3168b38e3a580a4b"},"schema_version":"1.0","source":{"id":"1406.4635","kind":"arxiv","version":1}},"canonical_sha256":"554e099ff0e07d939632735b1ec6f5c6f9271d185820acb5f1ae76d4ad4f9348","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"554e099ff0e07d939632735b1ec6f5c6f9271d185820acb5f1ae76d4ad4f9348","first_computed_at":"2026-05-18T02:49:31.095748Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:49:31.095748Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+U5sEAefHN0RDfNHRMNY3RyT/chW58DOcSda008TEynjJzodTGnQITBGcNlMFLFND2NG23b0RfsRQeVfhLc5CQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:49:31.096198Z","signed_message":"canonical_sha256_bytes"},"source_id":"1406.4635","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9d5e770ce64d7b5175bac0c3e9ff684c80d9a767a787b1563bcfbd1dcad6e2ee","sha256:0b313c0290f8576c19e5a02abcf4344d0a5453272b898dc3e496b4779211e587"],"state_sha256":"8a87efcdcb2aa35a9c8f9972c7b3bb2e03ffe300ce71989a35f5d760fb0deaad"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"aq3+pdI58nT/wII3k8YengvB14LcjQMsLvaY0bE7SofITrDY/z01k/qN+xHzQRXfEkOe2w35CbnG96lqAP4bDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-09T18:33:22.588206Z","bundle_sha256":"43028e3ac39ee6e4614e00c0aa8a4dadb6ea70285c537a60f0fd72ba1a901fab"}}