{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:O2K6LBMA3T4XSHGLXNHT57YJO4","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":"09ccd007c464cba85204075e5c5e11eb893fa94212d9fecac6043c873faecfa0","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.DS","submitted_at":"2023-01-25T15:02:11Z","title_canon_sha256":"612d799170896dc36f0773495183bd9ceb96e9335e20f80e18ddfbe92347f75d"},"schema_version":"1.0","source":{"id":"2301.10623","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2301.10623","created_at":"2026-07-05T05:35:53Z"},{"alias_kind":"arxiv_version","alias_value":"2301.10623v1","created_at":"2026-07-05T05:35:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2301.10623","created_at":"2026-07-05T05:35:53Z"},{"alias_kind":"pith_short_12","alias_value":"O2K6LBMA3T4X","created_at":"2026-07-05T05:35:53Z"},{"alias_kind":"pith_short_16","alias_value":"O2K6LBMA3T4XSHGL","created_at":"2026-07-05T05:35:53Z"},{"alias_kind":"pith_short_8","alias_value":"O2K6LBMA","created_at":"2026-07-05T05:35:53Z"}],"graph_snapshots":[{"event_id":"sha256:1c963eb55c7ae211cc89b8aa3f789a7830090bb9688d862ab815b88808b7d30a","target":"graph","created_at":"2026-07-05T05:35:53Z","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/2301.10623/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Let $M$ be a closed manifold, and let $f:M \\rightarrow M$ be a $C^{2+\\alpha}$ Axiom A diffeomorphism. Suppose that $f$ has an attractor $\\Omega$ with codimension 1 stable lamination. Under a generic nonlinearity condition and a suitable bunching condition, we prove polynomial Fourier decay in the unstable direction for a large class of invariant measures on $\\Omega$. Our result applies in particular for the measure of maximal entropy. We construct in the appendix an explicit solenoid that satisfies the nonlinearity and bunching assumption.","authors_text":"Ga\\'etan Leclerc","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.DS","submitted_at":"2023-01-25T15:02:11Z","title":"Fourier decay of equilibrium states for bunched attractors"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2301.10623","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":"sha256:5ccd8b2df77e74c985f95e5b2b2ef3303b9ec29893d7cd5c4154a90f6708e9e5","target":"record","created_at":"2026-07-05T05:35:53Z","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":"09ccd007c464cba85204075e5c5e11eb893fa94212d9fecac6043c873faecfa0","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.DS","submitted_at":"2023-01-25T15:02:11Z","title_canon_sha256":"612d799170896dc36f0773495183bd9ceb96e9335e20f80e18ddfbe92347f75d"},"schema_version":"1.0","source":{"id":"2301.10623","kind":"arxiv","version":1}},"canonical_sha256":"7695e58580dcf9791ccbbb4f3eff09773c3f3baaaf14cc9a97d9ed1e21c999d6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7695e58580dcf9791ccbbb4f3eff09773c3f3baaaf14cc9a97d9ed1e21c999d6","first_computed_at":"2026-07-05T05:35:53.138579Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:35:53.138579Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"p0p+b4kmfnnhgZCvu7r84r44vWJY9Jtg6PAQSjI47AX0fju2hp/Sh4AjIW6yegOlKt/nS2Nv41vK9Ye7HmzPAw==","signature_status":"signed_v1","signed_at":"2026-07-05T05:35:53.138987Z","signed_message":"canonical_sha256_bytes"},"source_id":"2301.10623","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5ccd8b2df77e74c985f95e5b2b2ef3303b9ec29893d7cd5c4154a90f6708e9e5","sha256:1c963eb55c7ae211cc89b8aa3f789a7830090bb9688d862ab815b88808b7d30a"],"state_sha256":"e14377bf2836863977c902f7c28014639805dfd1ce8c37f57b4cae339c75c97d"}