{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:4QM3ACSMZZHUXX7YNMQPGC2NCO","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":"c295b00ac55354fed948f27df255bae9370f657de298d309c617816e47f2617c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2019-01-01T18:37:32Z","title_canon_sha256":"e960cfd6f984d14851f0ddb747a6c8a9bf8ac1da8a11ccb533afc238df86f442"},"schema_version":"1.0","source":{"id":"1901.00195","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1901.00195","created_at":"2026-05-17T23:57:06Z"},{"alias_kind":"arxiv_version","alias_value":"1901.00195v1","created_at":"2026-05-17T23:57:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1901.00195","created_at":"2026-05-17T23:57:06Z"},{"alias_kind":"pith_short_12","alias_value":"4QM3ACSMZZHU","created_at":"2026-05-18T12:33:10Z"},{"alias_kind":"pith_short_16","alias_value":"4QM3ACSMZZHUXX7Y","created_at":"2026-05-18T12:33:10Z"},{"alias_kind":"pith_short_8","alias_value":"4QM3ACSM","created_at":"2026-05-18T12:33:10Z"}],"graph_snapshots":[{"event_id":"sha256:4a3b0edcf0a0110e89f39aed05322a303d1713849afa2b0dc54440231a44350a","target":"graph","created_at":"2026-05-17T23:57:06Z","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 obtain an improved version of the pointwise sparse domination principle established by the first author in [19]. This allows us to determine nearly minimal assumptions on a singular integral operator $T$ for which it admits a sparse domination.","authors_text":"Andrei K. Lerner, Sheldy Ombrosi","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2019-01-01T18:37:32Z","title":"Some remarks on the pointwise sparse domination"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1901.00195","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:e4c17a37d2081c4a04ee9f9f94f0b81c727f119a519fbe94a12558c762b495cc","target":"record","created_at":"2026-05-17T23:57:06Z","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":"c295b00ac55354fed948f27df255bae9370f657de298d309c617816e47f2617c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2019-01-01T18:37:32Z","title_canon_sha256":"e960cfd6f984d14851f0ddb747a6c8a9bf8ac1da8a11ccb533afc238df86f442"},"schema_version":"1.0","source":{"id":"1901.00195","kind":"arxiv","version":1}},"canonical_sha256":"e419b00a4cce4f4bdff86b20f30b4d139cb85186c6a3f33ea05b349ee65bb48e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e419b00a4cce4f4bdff86b20f30b4d139cb85186c6a3f33ea05b349ee65bb48e","first_computed_at":"2026-05-17T23:57:06.735004Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:57:06.735004Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"S/HzzBGH4KayChTOQ9tLjMOShUy2GDx4WSv0UQz1fapzYKjsJ0eWpYd0+Zbi5QRB8n9BEF+zfXGu9DsE2tg7BA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:57:06.735466Z","signed_message":"canonical_sha256_bytes"},"source_id":"1901.00195","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e4c17a37d2081c4a04ee9f9f94f0b81c727f119a519fbe94a12558c762b495cc","sha256:4a3b0edcf0a0110e89f39aed05322a303d1713849afa2b0dc54440231a44350a"],"state_sha256":"1b67c5b5cc8314f8ffe20601162007021d3e905a95626b0b56c741a04ce6754c"}