{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:JNUZ5NIBMUQL5JBA4MBXFCCYLX","short_pith_number":"pith:JNUZ5NIB","schema_version":"1.0","canonical_sha256":"4b699eb5016520bea420e3037288585dd0415df838dfef46d88b8cf25bee71bf","source":{"kind":"arxiv","id":"1110.3516","version":2},"attestation_state":"computed","paper":{"title":"The structure of reversible computation determines the self-duality of quantum theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Cozmin Ududec, Markus P. Mueller","submitted_at":"2011-10-16T19:09:17Z","abstract_excerpt":"Predictions for measurement outcomes in physical theories are usually computed by combining two distinct notions: a state, describing the physical system, and an observable, describing the measurement which is performed. In quantum theory, however, both notions are in some sense identical: outcome probabilities are given by the overlap between two state vectors - quantum theory is self-dual. In this paper, we show that this notion of self-duality can be understood from a dynamical point of view. We prove that self-duality follows from a computational primitive called bit symmetry: every logica"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1110.3516","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-10-16T19:09:17Z","cross_cats_sorted":[],"title_canon_sha256":"9d65907c0e386966c156c8c6ec1f21f6585edad8fde422fe37a8843a8a0aa840","abstract_canon_sha256":"5f185a525d8678c78c59ae5a4669cfdae5c6ee70abf052e504bb3ccceeb5985d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:59:13.723008Z","signature_b64":"3R/RMIejI0/xGN1EBWQTgtWhV9KZYYy8GSIso4ib9LMOqtbe4qV+XIgr+pO8oMmAKqMkSkELo4cDUiAhc7XtDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4b699eb5016520bea420e3037288585dd0415df838dfef46d88b8cf25bee71bf","last_reissued_at":"2026-05-18T03:59:13.722157Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:59:13.722157Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The structure of reversible computation determines the self-duality of quantum theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Cozmin Ududec, Markus P. Mueller","submitted_at":"2011-10-16T19:09:17Z","abstract_excerpt":"Predictions for measurement outcomes in physical theories are usually computed by combining two distinct notions: a state, describing the physical system, and an observable, describing the measurement which is performed. In quantum theory, however, both notions are in some sense identical: outcome probabilities are given by the overlap between two state vectors - quantum theory is self-dual. In this paper, we show that this notion of self-duality can be understood from a dynamical point of view. We prove that self-duality follows from a computational primitive called bit symmetry: every logica"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1110.3516","kind":"arxiv","version":2},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1110.3516","created_at":"2026-05-18T03:59:13.722293+00:00"},{"alias_kind":"arxiv_version","alias_value":"1110.3516v2","created_at":"2026-05-18T03:59:13.722293+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1110.3516","created_at":"2026-05-18T03:59:13.722293+00:00"},{"alias_kind":"pith_short_12","alias_value":"JNUZ5NIBMUQL","created_at":"2026-05-18T12:26:32.869790+00:00"},{"alias_kind":"pith_short_16","alias_value":"JNUZ5NIBMUQL5JBA","created_at":"2026-05-18T12:26:32.869790+00:00"},{"alias_kind":"pith_short_8","alias_value":"JNUZ5NIB","created_at":"2026-05-18T12:26:32.869790+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/JNUZ5NIBMUQL5JBA4MBXFCCYLX","json":"https://pith.science/pith/JNUZ5NIBMUQL5JBA4MBXFCCYLX.json","graph_json":"https://pith.science/api/pith-number/JNUZ5NIBMUQL5JBA4MBXFCCYLX/graph.json","events_json":"https://pith.science/api/pith-number/JNUZ5NIBMUQL5JBA4MBXFCCYLX/events.json","paper":"https://pith.science/paper/JNUZ5NIB"},"agent_actions":{"view_html":"https://pith.science/pith/JNUZ5NIBMUQL5JBA4MBXFCCYLX","download_json":"https://pith.science/pith/JNUZ5NIBMUQL5JBA4MBXFCCYLX.json","view_paper":"https://pith.science/paper/JNUZ5NIB","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1110.3516&json=true","fetch_graph":"https://pith.science/api/pith-number/JNUZ5NIBMUQL5JBA4MBXFCCYLX/graph.json","fetch_events":"https://pith.science/api/pith-number/JNUZ5NIBMUQL5JBA4MBXFCCYLX/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/JNUZ5NIBMUQL5JBA4MBXFCCYLX/action/timestamp_anchor","attest_storage":"https://pith.science/pith/JNUZ5NIBMUQL5JBA4MBXFCCYLX/action/storage_attestation","attest_author":"https://pith.science/pith/JNUZ5NIBMUQL5JBA4MBXFCCYLX/action/author_attestation","sign_citation":"https://pith.science/pith/JNUZ5NIBMUQL5JBA4MBXFCCYLX/action/citation_signature","submit_replication":"https://pith.science/pith/JNUZ5NIBMUQL5JBA4MBXFCCYLX/action/replication_record"}},"created_at":"2026-05-18T03:59:13.722293+00:00","updated_at":"2026-05-18T03:59:13.722293+00:00"}