{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:EYKM7VJZXFJO4U5HF4GJMVAQYI","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":"caff81066a3c86cb6f56b8dc0853164884b245a0b091ac2549e53cf95e8c4cde","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.CA","submitted_at":"2026-05-19T10:22:28Z","title_canon_sha256":"48aedfa6c6dc712994b3e79c096c0240ce29a7f07894997b37fca1bbbe7b7127"},"schema_version":"1.0","source":{"id":"2605.19637","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.19637","created_at":"2026-05-20T01:05:55Z"},{"alias_kind":"arxiv_version","alias_value":"2605.19637v1","created_at":"2026-05-20T01:05:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.19637","created_at":"2026-05-20T01:05:55Z"},{"alias_kind":"pith_short_12","alias_value":"EYKM7VJZXFJO","created_at":"2026-05-20T01:05:55Z"},{"alias_kind":"pith_short_16","alias_value":"EYKM7VJZXFJO4U5H","created_at":"2026-05-20T01:05:55Z"},{"alias_kind":"pith_short_8","alias_value":"EYKM7VJZ","created_at":"2026-05-20T01:05:55Z"}],"graph_snapshots":[{"event_id":"sha256:1dcb3e37acb5a34a7678dc4ca7123014518fcb911369747c6782b05ee8dcb0e7","target":"graph","created_at":"2026-05-20T01:05:55Z","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/2605.19637/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Recently the matrix $A_2$ conjecture was disproved. Indeed, the growth of the vector Hilbert transform in the matrix weighted $L^2(W)$ space was shown to be at best a constant multiple of $[W]_{\\mathbf{A}_2}^{3/2}$. This bound had previously been established and it was thus proved that it is sharp and the conjectured linear growth cannot be obtained. It is a natural question to see if the $3/2$ power persists if we replace the classical matrix $A_2$ characteristic by the \"fattened\", larger, so-called matrix Poisson $A_2$ characteristic. We show that the 3/2 power, even in this case, cannot be ","authors_text":"Alexander Volberg, Komla Domelevo, Sergei Treil, Spyridon Kakaroumpas, Stefanie Petermichl","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.CA","submitted_at":"2026-05-19T10:22:28Z","title":"The Poisson Matrix $\\mathbf{A}_2$ characteristic and the 3/2 blow up of the Hilbert transform"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.19637","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:caa48d55440b5f835dffb8a89c8f35e6d8e214fc149284080dc07b583139ec40","target":"record","created_at":"2026-05-20T01:05:55Z","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":"caff81066a3c86cb6f56b8dc0853164884b245a0b091ac2549e53cf95e8c4cde","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.CA","submitted_at":"2026-05-19T10:22:28Z","title_canon_sha256":"48aedfa6c6dc712994b3e79c096c0240ce29a7f07894997b37fca1bbbe7b7127"},"schema_version":"1.0","source":{"id":"2605.19637","kind":"arxiv","version":1}},"canonical_sha256":"2614cfd539b952ee53a72f0c965410c22f8c7e0181de58ebed28fd73ad590a30","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2614cfd539b952ee53a72f0c965410c22f8c7e0181de58ebed28fd73ad590a30","first_computed_at":"2026-05-20T01:05:55.371868Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-20T01:05:55.371868Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+53OEYxFFl7YbqbFfS87YdYGMetliLRl1shQqIamQKBzqlZ/p/ILTHm/tIAA5q+EuBuL3dmTdti8FIhVVdpBCw==","signature_status":"signed_v1","signed_at":"2026-05-20T01:05:55.372376Z","signed_message":"canonical_sha256_bytes"},"source_id":"2605.19637","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:caa48d55440b5f835dffb8a89c8f35e6d8e214fc149284080dc07b583139ec40","sha256:1dcb3e37acb5a34a7678dc4ca7123014518fcb911369747c6782b05ee8dcb0e7"],"state_sha256":"4acd491a7fce88e51e2ca2376bb44d9b11147284161868804863dac612893c75"}