{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:YIS2LCHQOKDYEQ5XAVYUWFIS3U","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":"074865270ec6312ab3cbfbe2e42d81f0d460d808c7daf6d0b4888abcb227cdc3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2011-03-24T12:41:44Z","title_canon_sha256":"785c8a98a550dd9abcc19d6285dd6aaee35a4d548babcfd3d8363fc62a8d2f13"},"schema_version":"1.0","source":{"id":"1103.4751","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1103.4751","created_at":"2026-05-18T04:19:04Z"},{"alias_kind":"arxiv_version","alias_value":"1103.4751v2","created_at":"2026-05-18T04:19:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1103.4751","created_at":"2026-05-18T04:19:04Z"},{"alias_kind":"pith_short_12","alias_value":"YIS2LCHQOKDY","created_at":"2026-05-18T12:26:47Z"},{"alias_kind":"pith_short_16","alias_value":"YIS2LCHQOKDYEQ5X","created_at":"2026-05-18T12:26:47Z"},{"alias_kind":"pith_short_8","alias_value":"YIS2LCHQ","created_at":"2026-05-18T12:26:47Z"}],"graph_snapshots":[{"event_id":"sha256:c9698bbe8c6383d5b64fa8f3976acad651f1a541187e62983d6c6439a380c809","target":"graph","created_at":"2026-05-18T04:19:04Z","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"},"paper":{"abstract_excerpt":"We prove the existence of maximizers of Sobolev-Strichartz estimates for a general class of propagators, involving relevant examples, as for instance the wave, Dirac and the hyperbolic Schrodinger flows.","authors_text":"Luca Fanelli, Luis Vega, Nicola Visciglia","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2011-03-24T12:41:44Z","title":"Existence of maximizers for Sobolev-Strichartz inequalities"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1103.4751","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":"sha256:95317ef474b76617ec157dc8f59633f3f9596ac005fc68826f4f3177fdebcd66","target":"record","created_at":"2026-05-18T04:19:04Z","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":"074865270ec6312ab3cbfbe2e42d81f0d460d808c7daf6d0b4888abcb227cdc3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2011-03-24T12:41:44Z","title_canon_sha256":"785c8a98a550dd9abcc19d6285dd6aaee35a4d548babcfd3d8363fc62a8d2f13"},"schema_version":"1.0","source":{"id":"1103.4751","kind":"arxiv","version":2}},"canonical_sha256":"c225a588f072878243b705714b1512dd3c4f99af213711560d9ce86c3769b45a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c225a588f072878243b705714b1512dd3c4f99af213711560d9ce86c3769b45a","first_computed_at":"2026-05-18T04:19:04.244854Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:19:04.244854Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3bRRXrkc+quE4SHl/VAmXsY5NaoZH9mEjJ66OJlnd0UBDYqgDDSjBznnMGmBnfQ0nyOVRW+jJCMF1b4evZK5Bw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:19:04.245475Z","signed_message":"canonical_sha256_bytes"},"source_id":"1103.4751","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:95317ef474b76617ec157dc8f59633f3f9596ac005fc68826f4f3177fdebcd66","sha256:c9698bbe8c6383d5b64fa8f3976acad651f1a541187e62983d6c6439a380c809"],"state_sha256":"2bb4d043b6162257df5f2e43ada62aac1441fd45c2ba36561d3ef825ff0c75fc"}