{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:FEULTCIVIBIMHWZRAM2DTXUUYX","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":"2809586dad342f35c969f4bf8143452451b9e85c566833175cb08abd8274e8e3","cross_cats_sorted":["math.MP","math.NT","math.SP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math-ph","submitted_at":"2024-10-31T19:48:03Z","title_canon_sha256":"f4309f6309616cafedb3abacaf3c973adc0efa2a2a99f155143151d8d989499c"},"schema_version":"1.0","source":{"id":"2411.00176","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2411.00176","created_at":"2026-07-05T09:29:38Z"},{"alias_kind":"arxiv_version","alias_value":"2411.00176v1","created_at":"2026-07-05T09:29:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2411.00176","created_at":"2026-07-05T09:29:38Z"},{"alias_kind":"pith_short_12","alias_value":"FEULTCIVIBIM","created_at":"2026-07-05T09:29:38Z"},{"alias_kind":"pith_short_16","alias_value":"FEULTCIVIBIMHWZR","created_at":"2026-07-05T09:29:38Z"},{"alias_kind":"pith_short_8","alias_value":"FEULTCIV","created_at":"2026-07-05T09:29:38Z"}],"graph_snapshots":[{"event_id":"sha256:f1e05a9c3223e7fe448176afa03b746bc23fd0725586515af67298301d5095a6","target":"graph","created_at":"2026-07-05T09:29:38Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2411.00176/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We employ Weyl's method and Vinogradov's method to analyze skew-shift dynamics on semi-algebraic sets. Consequently, we improve the quantum dynamical upper bounds of Jitomirskaya-Powell, Liu, and Shamis-Sodin for long-range operators with skew-shift potentials.","authors_text":"Matthew Powell, Wencai Liu, Xueyin Wang","cross_cats":["math.MP","math.NT","math.SP"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math-ph","submitted_at":"2024-10-31T19:48:03Z","title":"Quantum dynamical bounds for long-range operators with skew-shift potentials"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2411.00176","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":"sha256:7c06875a383ea57a4ae14543a91cc4ce6b08ecaaec030e4aab62eb0bc6d20b34","target":"record","created_at":"2026-07-05T09:29:38Z","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":"2809586dad342f35c969f4bf8143452451b9e85c566833175cb08abd8274e8e3","cross_cats_sorted":["math.MP","math.NT","math.SP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math-ph","submitted_at":"2024-10-31T19:48:03Z","title_canon_sha256":"f4309f6309616cafedb3abacaf3c973adc0efa2a2a99f155143151d8d989499c"},"schema_version":"1.0","source":{"id":"2411.00176","kind":"arxiv","version":1}},"canonical_sha256":"2928b989154050c3db31033439de94c5c29ed7c8cc33730a42ec68083d458be1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2928b989154050c3db31033439de94c5c29ed7c8cc33730a42ec68083d458be1","first_computed_at":"2026-07-05T09:29:38.662656Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:29:38.662656Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+egGEw1cUgQAQg82NOTXtHGbT7d2wp7vAp1RM6Evx26+dz4rqol6tzzQRmyf0rcqlVQTWZRA/it7R6QnVvjsAg==","signature_status":"signed_v1","signed_at":"2026-07-05T09:29:38.663141Z","signed_message":"canonical_sha256_bytes"},"source_id":"2411.00176","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7c06875a383ea57a4ae14543a91cc4ce6b08ecaaec030e4aab62eb0bc6d20b34","sha256:f1e05a9c3223e7fe448176afa03b746bc23fd0725586515af67298301d5095a6"],"state_sha256":"d9f91bfa04a4d133f62dabc9d4a6cebe8082256c548b0f9204e87973041d7923"}