{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:EL5C2LRWVHEMAPGBMXNI3IESLK","short_pith_number":"pith:EL5C2LRW","schema_version":"1.0","canonical_sha256":"22fa2d2e36a9c8c03cc165da8da0925a9abd99488fdcc2603dc11224ebd36285","source":{"kind":"arxiv","id":"2607.21697","version":1},"attestation_state":"computed","paper":{"title":"Non-Clifford quantum cellular automata from invertible topological quantum field theories","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.str-el","hep-th","math-ph","math.MP","math.QA"],"primary_cat":"quant-ph","authors_text":"Bowen Yang, Meng Sun, Nathanan Tantivasadakarn, Yu-An Chen, Zongyuan Wang","submitted_at":"2026-07-23T18:00:00Z","abstract_excerpt":"Quantum cellular automata (QCAs) describe locality-preserving quantum dynamics and connect quantum information, many-body physics, and topological quantum field theory (TQFT). Constructing a QCA from a TQFT, however, is challenging. Although a topological action can produce a commuting Hamiltonian realizing the desired ground state, it does not by itself specify an automorphism of the full local operator algebra. In this work, we develop a unified algebraic construction that extends the commuting generators of the Hamiltonian to a complete separator-flipper algebra on the full tensor-product H"},"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":"2607.21697","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2026-07-23T18:00:00Z","cross_cats_sorted":["cond-mat.str-el","hep-th","math-ph","math.MP","math.QA"],"title_canon_sha256":"d1080fc07ed1c9c51e8cd71cf4a6db08d36fe6340a717c4be2ca0f9385b45561","abstract_canon_sha256":"2551ae3404819046c02df4572e44b4eee8138309738d64b39bdf38a03a0a4e52"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-27T00:20:15.783559Z","signature_b64":"4MTy+CHXhf97AaFEHRNQ4Bt85q3VOt/uoN2Y1UeRaluspxMWOv9R7pyYhyqic9barO9adpxNaXnChSBI+4n/AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"22fa2d2e36a9c8c03cc165da8da0925a9abd99488fdcc2603dc11224ebd36285","last_reissued_at":"2026-07-27T00:20:15.782672Z","signature_status":"signed_v1","first_computed_at":"2026-07-27T00:20:15.782672Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Non-Clifford quantum cellular automata from invertible topological quantum field theories","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.str-el","hep-th","math-ph","math.MP","math.QA"],"primary_cat":"quant-ph","authors_text":"Bowen Yang, Meng Sun, Nathanan Tantivasadakarn, Yu-An Chen, Zongyuan Wang","submitted_at":"2026-07-23T18:00:00Z","abstract_excerpt":"Quantum cellular automata (QCAs) describe locality-preserving quantum dynamics and connect quantum information, many-body physics, and topological quantum field theory (TQFT). Constructing a QCA from a TQFT, however, is challenging. Although a topological action can produce a commuting Hamiltonian realizing the desired ground state, it does not by itself specify an automorphism of the full local operator algebra. In this work, we develop a unified algebraic construction that extends the commuting generators of the Hamiltonian to a complete separator-flipper algebra on the full tensor-product H"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.21697","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2607.21697/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2607.21697","created_at":"2026-07-27T00:20:15.783132+00:00"},{"alias_kind":"arxiv_version","alias_value":"2607.21697v1","created_at":"2026-07-27T00:20:15.783132+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.21697","created_at":"2026-07-27T00:20:15.783132+00:00"},{"alias_kind":"pith_short_12","alias_value":"EL5C2LRWVHEM","created_at":"2026-07-27T00:20:15.783132+00:00"},{"alias_kind":"pith_short_16","alias_value":"EL5C2LRWVHEMAPGB","created_at":"2026-07-27T00:20:15.783132+00:00"},{"alias_kind":"pith_short_8","alias_value":"EL5C2LRW","created_at":"2026-07-27T00:20:15.783132+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/EL5C2LRWVHEMAPGBMXNI3IESLK","json":"https://pith.science/pith/EL5C2LRWVHEMAPGBMXNI3IESLK.json","graph_json":"https://pith.science/api/pith-number/EL5C2LRWVHEMAPGBMXNI3IESLK/graph.json","events_json":"https://pith.science/api/pith-number/EL5C2LRWVHEMAPGBMXNI3IESLK/events.json","paper":"https://pith.science/paper/EL5C2LRW"},"agent_actions":{"view_html":"https://pith.science/pith/EL5C2LRWVHEMAPGBMXNI3IESLK","download_json":"https://pith.science/pith/EL5C2LRWVHEMAPGBMXNI3IESLK.json","view_paper":"https://pith.science/paper/EL5C2LRW","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2607.21697&json=true","fetch_graph":"https://pith.science/api/pith-number/EL5C2LRWVHEMAPGBMXNI3IESLK/graph.json","fetch_events":"https://pith.science/api/pith-number/EL5C2LRWVHEMAPGBMXNI3IESLK/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/EL5C2LRWVHEMAPGBMXNI3IESLK/action/timestamp_anchor","attest_storage":"https://pith.science/pith/EL5C2LRWVHEMAPGBMXNI3IESLK/action/storage_attestation","attest_author":"https://pith.science/pith/EL5C2LRWVHEMAPGBMXNI3IESLK/action/author_attestation","sign_citation":"https://pith.science/pith/EL5C2LRWVHEMAPGBMXNI3IESLK/action/citation_signature","submit_replication":"https://pith.science/pith/EL5C2LRWVHEMAPGBMXNI3IESLK/action/replication_record"}},"created_at":"2026-07-27T00:20:15.783132+00:00","updated_at":"2026-07-27T00:20:15.783132+00:00"}