{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:SETGCDSUENTEFZMWLB56GAXCQW","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":"dac8f839ec9b6dc241ae4f693b27076eecbb775e0a23950649bca6cc5949c4d7","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2025-07-03T07:30:24Z","title_canon_sha256":"c0b9d48f2b0c7de7b77ed72c9ad3aef61af3e86f6fdfe9d1753992b4805b3511"},"schema_version":"1.0","source":{"id":"2507.02386","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2507.02386","created_at":"2026-06-30T01:17:24Z"},{"alias_kind":"arxiv_version","alias_value":"2507.02386v2","created_at":"2026-06-30T01:17:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2507.02386","created_at":"2026-06-30T01:17:24Z"},{"alias_kind":"pith_short_12","alias_value":"SETGCDSUENTE","created_at":"2026-06-30T01:17:24Z"},{"alias_kind":"pith_short_16","alias_value":"SETGCDSUENTEFZMW","created_at":"2026-06-30T01:17:24Z"},{"alias_kind":"pith_short_8","alias_value":"SETGCDSU","created_at":"2026-06-30T01:17:24Z"}],"graph_snapshots":[{"event_id":"sha256:b22dea159bc05246f8e876fa27e7de55a46d2d54e0f8b4e8d6c8dc98658b53af","target":"graph","created_at":"2026-06-30T01:17:24Z","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/2507.02386/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Periodic structures are ubiquitous in quantum many-body systems and quantum field theories, ranging from lattice models, compact spaces, to topological phenomena. However, previous bootstrap studies encountered technical challenges even for one-body periodic problems, such as a failure in determining the accurate dispersion relations for Bloch bands. In this work, we develop a new bootstrap procedure to resolve these issues, which does not make use of positivity constraints. We mainly consider a quantum particle in a periodic cosine potential. The same procedure also applies to a particle on a","authors_text":"Wenliang Li, Zhijian Huang","cross_cats":["quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2025-07-03T07:30:24Z","title":"Bootstrapping periodic quantum systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2507.02386","kind":"arxiv","version":2},"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":"sha256:0cf50ee3545eca55add367fedd910725181fc90a3db2905eb16af46763dfecf4","target":"record","created_at":"2026-06-30T01:17:24Z","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":"dac8f839ec9b6dc241ae4f693b27076eecbb775e0a23950649bca6cc5949c4d7","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2025-07-03T07:30:24Z","title_canon_sha256":"c0b9d48f2b0c7de7b77ed72c9ad3aef61af3e86f6fdfe9d1753992b4805b3511"},"schema_version":"1.0","source":{"id":"2507.02386","kind":"arxiv","version":2}},"canonical_sha256":"9126610e54236642e596587be302e285b201fe82c3781dcc5e64019e92edc1f2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9126610e54236642e596587be302e285b201fe82c3781dcc5e64019e92edc1f2","first_computed_at":"2026-06-30T01:17:24.398572Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-30T01:17:24.398572Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"GBvx1bX9DQQv0zOBv/xBhEr7/t5ais/e4rxEZiD0xOnFvn36Ql9cJ/dE6jywkzfY4u8RGyGajCk86Eisi87nBA==","signature_status":"signed_v1","signed_at":"2026-06-30T01:17:24.399215Z","signed_message":"canonical_sha256_bytes"},"source_id":"2507.02386","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0cf50ee3545eca55add367fedd910725181fc90a3db2905eb16af46763dfecf4","sha256:b22dea159bc05246f8e876fa27e7de55a46d2d54e0f8b4e8d6c8dc98658b53af"],"state_sha256":"3dfcf49ec387b0c7c238fa065aaf6da3686cb7e96e7d2bf20e518488041a75c9"}