{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:3FD2TPE3CUWNZWWG2C4QEF3TPT","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":"95bd3581ee5f634d3580865cc822595c22d87bc6b7088ed3f65d5477606b82c3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2024-11-10T10:35:31Z","title_canon_sha256":"653e5d4c529ebc6cab3e47e2cd1664b50c80923b7ff8da6937ccf2ce4fe1af06"},"schema_version":"1.0","source":{"id":"2411.08920","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2411.08920","created_at":"2026-07-05T09:35:16Z"},{"alias_kind":"arxiv_version","alias_value":"2411.08920v1","created_at":"2026-07-05T09:35:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2411.08920","created_at":"2026-07-05T09:35:16Z"},{"alias_kind":"pith_short_12","alias_value":"3FD2TPE3CUWN","created_at":"2026-07-05T09:35:16Z"},{"alias_kind":"pith_short_16","alias_value":"3FD2TPE3CUWNZWWG","created_at":"2026-07-05T09:35:16Z"},{"alias_kind":"pith_short_8","alias_value":"3FD2TPE3","created_at":"2026-07-05T09:35:16Z"}],"graph_snapshots":[{"event_id":"sha256:14eee9106152df54c784cfae93cb79f732c200ab99678005344fd600fd0ec453","target":"graph","created_at":"2026-07-05T09:35:16Z","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/2411.08920/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This paper is devoted to studying the maximal-in-time estimates and Strichartz estimates for orthonormal functions and convergence problem of density functions related to Boussinesq operator on manifolds. Firstly, we present the pointwise convergence of density function related to Boussinesq operator with $\\gamma_{0}\\in\\mathfrak{S}^{\\beta}(\\dot{H}^{\\frac{1}{4}}(\\mathbf{R}))(\\beta<2)$ with the aid of the maximal-in-time estimate related to Boussinesq operator with orthonormal function on $\\R$. Secondly, we present the pointwise convergence of density function related to Boussinesq operator with","authors_text":"Wei Yan, Xiangqian Yan, Xin Liu, Yongsheng Li","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2024-11-10T10:35:31Z","title":"Strichartz estimates for orthonormal functions and convergence problem of density functions of Boussinesq operator on manifolds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2411.08920","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:a3251a3b40544937c945da1f8b74bd6bb392b2d02b09ab94f23539ed39e81348","target":"record","created_at":"2026-07-05T09:35:16Z","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":"95bd3581ee5f634d3580865cc822595c22d87bc6b7088ed3f65d5477606b82c3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2024-11-10T10:35:31Z","title_canon_sha256":"653e5d4c529ebc6cab3e47e2cd1664b50c80923b7ff8da6937ccf2ce4fe1af06"},"schema_version":"1.0","source":{"id":"2411.08920","kind":"arxiv","version":1}},"canonical_sha256":"d947a9bc9b152cdcdac6d0b90217737ceb450590f19c6c495828c3683d02b842","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d947a9bc9b152cdcdac6d0b90217737ceb450590f19c6c495828c3683d02b842","first_computed_at":"2026-07-05T09:35:16.691777Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:35:16.691777Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+06H+4Z+UN3wGK0zU9ugGz5zYBcDmosJvxNf9lWZvojsLmlaMHS7jlVVGkKWpBuwjT4ZFprCULHFGrfTyF0kBg==","signature_status":"signed_v1","signed_at":"2026-07-05T09:35:16.692175Z","signed_message":"canonical_sha256_bytes"},"source_id":"2411.08920","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a3251a3b40544937c945da1f8b74bd6bb392b2d02b09ab94f23539ed39e81348","sha256:14eee9106152df54c784cfae93cb79f732c200ab99678005344fd600fd0ec453"],"state_sha256":"a315c606363644bdd9879193ffe0539d3170a5f9167037b7090983e4c7f73584"}