{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:EYKM7VJZXFJO4U5HF4GJMVAQYI","short_pith_number":"pith:EYKM7VJZ","schema_version":"1.0","canonical_sha256":"2614cfd539b952ee53a72f0c965410c22f8c7e0181de58ebed28fd73ad590a30","source":{"kind":"arxiv","id":"2605.19637","version":1},"attestation_state":"computed","paper":{"title":"The Poisson Matrix $\\mathbf{A}_2$ characteristic and the 3/2 blow up of the Hilbert transform","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.CA","authors_text":"Alexander Volberg, Komla Domelevo, Sergei Treil, Spyridon Kakaroumpas, Stefanie Petermichl","submitted_at":"2026-05-19T10:22:28Z","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 "},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2605.19637","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.CA","submitted_at":"2026-05-19T10:22:28Z","cross_cats_sorted":[],"title_canon_sha256":"48aedfa6c6dc712994b3e79c096c0240ce29a7f07894997b37fca1bbbe7b7127","abstract_canon_sha256":"caff81066a3c86cb6f56b8dc0853164884b245a0b091ac2549e53cf95e8c4cde"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-20T01:05:55.372376Z","signature_b64":"+53OEYxFFl7YbqbFfS87YdYGMetliLRl1shQqIamQKBzqlZ/p/ILTHm/tIAA5q+EuBuL3dmTdti8FIhVVdpBCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2614cfd539b952ee53a72f0c965410c22f8c7e0181de58ebed28fd73ad590a30","last_reissued_at":"2026-05-20T01:05:55.371868Z","signature_status":"signed_v1","first_computed_at":"2026-05-20T01:05:55.371868Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The Poisson Matrix $\\mathbf{A}_2$ characteristic and the 3/2 blow up of the Hilbert transform","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.CA","authors_text":"Alexander Volberg, Komla Domelevo, Sergei Treil, Spyridon Kakaroumpas, Stefanie Petermichl","submitted_at":"2026-05-19T10:22:28Z","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 "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.19637","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2605.19637/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"2605.19637","created_at":"2026-05-20T01:05:55.371937+00:00"},{"alias_kind":"arxiv_version","alias_value":"2605.19637v1","created_at":"2026-05-20T01:05:55.371937+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.19637","created_at":"2026-05-20T01:05:55.371937+00:00"},{"alias_kind":"pith_short_12","alias_value":"EYKM7VJZXFJO","created_at":"2026-05-20T01:05:55.371937+00:00"},{"alias_kind":"pith_short_16","alias_value":"EYKM7VJZXFJO4U5H","created_at":"2026-05-20T01:05:55.371937+00:00"},{"alias_kind":"pith_short_8","alias_value":"EYKM7VJZ","created_at":"2026-05-20T01:05:55.371937+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/EYKM7VJZXFJO4U5HF4GJMVAQYI","json":"https://pith.science/pith/EYKM7VJZXFJO4U5HF4GJMVAQYI.json","graph_json":"https://pith.science/api/pith-number/EYKM7VJZXFJO4U5HF4GJMVAQYI/graph.json","events_json":"https://pith.science/api/pith-number/EYKM7VJZXFJO4U5HF4GJMVAQYI/events.json","paper":"https://pith.science/paper/EYKM7VJZ"},"agent_actions":{"view_html":"https://pith.science/pith/EYKM7VJZXFJO4U5HF4GJMVAQYI","download_json":"https://pith.science/pith/EYKM7VJZXFJO4U5HF4GJMVAQYI.json","view_paper":"https://pith.science/paper/EYKM7VJZ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2605.19637&json=true","fetch_graph":"https://pith.science/api/pith-number/EYKM7VJZXFJO4U5HF4GJMVAQYI/graph.json","fetch_events":"https://pith.science/api/pith-number/EYKM7VJZXFJO4U5HF4GJMVAQYI/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/EYKM7VJZXFJO4U5HF4GJMVAQYI/action/timestamp_anchor","attest_storage":"https://pith.science/pith/EYKM7VJZXFJO4U5HF4GJMVAQYI/action/storage_attestation","attest_author":"https://pith.science/pith/EYKM7VJZXFJO4U5HF4GJMVAQYI/action/author_attestation","sign_citation":"https://pith.science/pith/EYKM7VJZXFJO4U5HF4GJMVAQYI/action/citation_signature","submit_replication":"https://pith.science/pith/EYKM7VJZXFJO4U5HF4GJMVAQYI/action/replication_record"}},"created_at":"2026-05-20T01:05:55.371937+00:00","updated_at":"2026-05-20T01:05:55.371937+00:00"}