{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:ZPKDOTHRORICWGDXZNTBAZNVVO","short_pith_number":"pith:ZPKDOTHR","schema_version":"1.0","canonical_sha256":"cbd4374cf174502b1877cb661065b5ab94c08f7885a7a217bec993ad3abb595f","source":{"kind":"arxiv","id":"2607.26331","version":1},"attestation_state":"computed","paper":{"title":"Quantum Turing Patterns","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","math.AP","math.MP","nlin.PS","quant-ph"],"primary_cat":"math-ph","authors_text":"Kazuki Ikeda","submitted_at":"2026-07-28T23:05:00Z","abstract_excerpt":"We construct quantum Turing patterns in Lindblad lattice dynamics and establish a rigorous theory of their nonlinear order and quantum fluctuations. For an explicit completely positive family with finite-range couplings, the first-moment equations undergo a supercritical instability at a nonzero wave number and admit analytic site- and bond-centered commensurate stripe branches. These branches are locally asymptotically stable in their reflection-fixed period-cell spaces, and projected coherent states exhibit extensive Bragg order on every bounded time interval in the semiclassical limit. We p"},"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":"2607.26331","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2026-07-28T23:05:00Z","cross_cats_sorted":["cond-mat.stat-mech","math.AP","math.MP","nlin.PS","quant-ph"],"title_canon_sha256":"9b878e6b6388ff2e5208e8714afc1f83a82e9dd4da8ad9c7f91ee431b0e0204b","abstract_canon_sha256":"2c79634e3dbbd779bc4cb620c15e8acafad50559e85f9740bb10deabb2cd315e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cbd4374cf174502b1877cb661065b5ab94c08f7885a7a217bec993ad3abb595f","last_reissued_at":"2026-07-30T01:18:04.527805Z","signature_status":"unsigned_v0","first_computed_at":"2026-07-30T01:18:04.527805Z"},"graph_snapshot":{"paper":{"title":"Quantum Turing Patterns","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","math.AP","math.MP","nlin.PS","quant-ph"],"primary_cat":"math-ph","authors_text":"Kazuki Ikeda","submitted_at":"2026-07-28T23:05:00Z","abstract_excerpt":"We construct quantum Turing patterns in Lindblad lattice dynamics and establish a rigorous theory of their nonlinear order and quantum fluctuations. For an explicit completely positive family with finite-range couplings, the first-moment equations undergo a supercritical instability at a nonzero wave number and admit analytic site- and bond-centered commensurate stripe branches. These branches are locally asymptotically stable in their reflection-fixed period-cell spaces, and projected coherent states exhibit extensive Bragg order on every bounded time interval in the semiclassical limit. We p"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.26331","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/2607.26331/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":"2607.26331","created_at":"2026-07-30T01:18:04.532912+00:00"},{"alias_kind":"arxiv_version","alias_value":"2607.26331v1","created_at":"2026-07-30T01:18:04.532912+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.26331","created_at":"2026-07-30T01:18:04.532912+00:00"},{"alias_kind":"pith_short_12","alias_value":"ZPKDOTHRORIC","created_at":"2026-07-30T01:18:04.532912+00:00"},{"alias_kind":"pith_short_16","alias_value":"ZPKDOTHRORICWGDX","created_at":"2026-07-30T01:18:04.532912+00:00"},{"alias_kind":"pith_short_8","alias_value":"ZPKDOTHR","created_at":"2026-07-30T01:18:04.532912+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/ZPKDOTHRORICWGDXZNTBAZNVVO","json":"https://pith.science/pith/ZPKDOTHRORICWGDXZNTBAZNVVO.json","graph_json":"https://pith.science/api/pith-number/ZPKDOTHRORICWGDXZNTBAZNVVO/graph.json","events_json":"https://pith.science/api/pith-number/ZPKDOTHRORICWGDXZNTBAZNVVO/events.json","paper":"https://pith.science/paper/ZPKDOTHR"},"agent_actions":{"view_html":"https://pith.science/pith/ZPKDOTHRORICWGDXZNTBAZNVVO","download_json":"https://pith.science/pith/ZPKDOTHRORICWGDXZNTBAZNVVO.json","view_paper":"https://pith.science/paper/ZPKDOTHR","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2607.26331&json=true","fetch_graph":"https://pith.science/api/pith-number/ZPKDOTHRORICWGDXZNTBAZNVVO/graph.json","fetch_events":"https://pith.science/api/pith-number/ZPKDOTHRORICWGDXZNTBAZNVVO/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ZPKDOTHRORICWGDXZNTBAZNVVO/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ZPKDOTHRORICWGDXZNTBAZNVVO/action/storage_attestation","attest_author":"https://pith.science/pith/ZPKDOTHRORICWGDXZNTBAZNVVO/action/author_attestation","sign_citation":"https://pith.science/pith/ZPKDOTHRORICWGDXZNTBAZNVVO/action/citation_signature","submit_replication":"https://pith.science/pith/ZPKDOTHRORICWGDXZNTBAZNVVO/action/replication_record"}},"created_at":"2026-07-30T01:18:04.532912+00:00","updated_at":"2026-07-30T01:18:04.532912+00:00"}