{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:MEA35SUIPFOZDG2BQDKGWN5ENQ","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":"c32d99d944b180b1eac273e8f9a7d61241d94cbebf07e15096eaa51648545005","cross_cats_sorted":["cond-mat.quant-gas","math-ph","math.MP","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2024-08-24T12:58:23Z","title_canon_sha256":"fa42b2800439d533607e9db5c17f383daf06a2807e4161384ae7a68faf8d22b5"},"schema_version":"1.0","source":{"id":"2408.13576","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2408.13576","created_at":"2026-07-05T12:09:10Z"},{"alias_kind":"arxiv_version","alias_value":"2408.13576v3","created_at":"2026-07-05T12:09:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2408.13576","created_at":"2026-07-05T12:09:10Z"},{"alias_kind":"pith_short_12","alias_value":"MEA35SUIPFOZ","created_at":"2026-07-05T12:09:10Z"},{"alias_kind":"pith_short_16","alias_value":"MEA35SUIPFOZDG2B","created_at":"2026-07-05T12:09:10Z"},{"alias_kind":"pith_short_8","alias_value":"MEA35SUI","created_at":"2026-07-05T12:09:10Z"}],"graph_snapshots":[{"event_id":"sha256:99a32b1e1996fe7f5138391be871b772e52c31b8db5c5cbb774acc9ca994a5af","target":"graph","created_at":"2026-07-05T12:09:10Z","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/2408.13576/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The St\\v{r}eda formula establishes a fundamental connection between the topological invariants characterizing the bulk of topological matter and the presence of gapless edge modes. In this work, we extend the St\\v{r}eda formula to periodically driven systems, providing a rigorous framework to elucidate the unconventional bulk-boundary correspondence of Floquet systems, while offering a link between Floquet winding numbers and tractable response functions. Using the Sambe representation of periodically driven systems, we analyze the response of the unbounded Floquet density of states to a magne","authors_text":"Gonzalo Usaj, Lucila Peralta Gavensky, Nathan Goldman","cross_cats":["cond-mat.quant-gas","math-ph","math.MP","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2024-08-24T12:58:23Z","title":"The Streda Formula for Floquet Systems: Topological Invariants and Quantized Anomalies from Cesaro Summation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2408.13576","kind":"arxiv","version":3},"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":"sha256:68b70fbb01cd4e491ad7e8ea23fd0da53977345a6f3e95a956227a4f22bcd399","target":"record","created_at":"2026-07-05T12:09:10Z","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":"c32d99d944b180b1eac273e8f9a7d61241d94cbebf07e15096eaa51648545005","cross_cats_sorted":["cond-mat.quant-gas","math-ph","math.MP","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2024-08-24T12:58:23Z","title_canon_sha256":"fa42b2800439d533607e9db5c17f383daf06a2807e4161384ae7a68faf8d22b5"},"schema_version":"1.0","source":{"id":"2408.13576","kind":"arxiv","version":3}},"canonical_sha256":"6101beca88795d919b4180d46b37a46c119edb8ed2bc86fd46e197c57a126c3d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6101beca88795d919b4180d46b37a46c119edb8ed2bc86fd46e197c57a126c3d","first_computed_at":"2026-07-05T12:09:10.397942Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T12:09:10.397942Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"qysNVzJjxbOsvuvZUb91l5kgcHjzMh8LYsLqM/coYNQN33mwpYL0/Z3kNlkpHDDayE9vmUU6+vkwtKyYJM2dAA==","signature_status":"signed_v1","signed_at":"2026-07-05T12:09:10.398637Z","signed_message":"canonical_sha256_bytes"},"source_id":"2408.13576","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:68b70fbb01cd4e491ad7e8ea23fd0da53977345a6f3e95a956227a4f22bcd399","sha256:99a32b1e1996fe7f5138391be871b772e52c31b8db5c5cbb774acc9ca994a5af"],"state_sha256":"f9d3739c9894689b7b1f0eba35568b7b4f1cf303328440a0379635875795a51e"}