{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:ZM5T5KAW6GTUETIR2YVWNYYLRO","short_pith_number":"pith:ZM5T5KAW","schema_version":"1.0","canonical_sha256":"cb3b3ea816f1a7424d11d62b66e30b8b837d5505da8c0e5f1d0bba8560a86c55","source":{"kind":"arxiv","id":"1210.6778","version":2},"attestation_state":"computed","paper":{"title":"A note on maximal commutators and commutators of maximal functions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP","math.CA"],"primary_cat":"math.FA","authors_text":"Amiran Gogatishvili, Kerim Koca, Mujdat Agcayazi, Rza Chingiz Mustafayev","submitted_at":"2012-10-25T10:06:20Z","abstract_excerpt":"In this paper maximal commutators and commutators of maximal functions with functions of bounded mean oscillation are investigated. New pointwise estimates for them are proved."},"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":"1210.6778","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2012-10-25T10:06:20Z","cross_cats_sorted":["math.AP","math.CA"],"title_canon_sha256":"509e555a227a0503e42dc146811b8d45cc8d1613d5a09f279ad7bc90d7b4d1ce","abstract_canon_sha256":"4673f2e6e288a8a901090e7dd4ad9c975464c4bb8adbcf2109bf8e6d48b579c2"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:21:12.214799Z","signature_b64":"ziU8G0iajWiRp2b+sQ5gKatoTPtfX61OBgvyi+ZxIiug4gWiCxq6h83OyQMovhWQMjMwfXTBQ5yWQ1sJ1KEUDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cb3b3ea816f1a7424d11d62b66e30b8b837d5505da8c0e5f1d0bba8560a86c55","last_reissued_at":"2026-05-18T03:21:12.213985Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:21:12.213985Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A note on maximal commutators and commutators of maximal functions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP","math.CA"],"primary_cat":"math.FA","authors_text":"Amiran Gogatishvili, Kerim Koca, Mujdat Agcayazi, Rza Chingiz Mustafayev","submitted_at":"2012-10-25T10:06:20Z","abstract_excerpt":"In this paper maximal commutators and commutators of maximal functions with functions of bounded mean oscillation are investigated. New pointwise estimates for them are proved."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1210.6778","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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":"1210.6778","created_at":"2026-05-18T03:21:12.214118+00:00"},{"alias_kind":"arxiv_version","alias_value":"1210.6778v2","created_at":"2026-05-18T03:21:12.214118+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1210.6778","created_at":"2026-05-18T03:21:12.214118+00:00"},{"alias_kind":"pith_short_12","alias_value":"ZM5T5KAW6GTU","created_at":"2026-05-18T12:27:30.460161+00:00"},{"alias_kind":"pith_short_16","alias_value":"ZM5T5KAW6GTUETIR","created_at":"2026-05-18T12:27:30.460161+00:00"},{"alias_kind":"pith_short_8","alias_value":"ZM5T5KAW","created_at":"2026-05-18T12:27:30.460161+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/ZM5T5KAW6GTUETIR2YVWNYYLRO","json":"https://pith.science/pith/ZM5T5KAW6GTUETIR2YVWNYYLRO.json","graph_json":"https://pith.science/api/pith-number/ZM5T5KAW6GTUETIR2YVWNYYLRO/graph.json","events_json":"https://pith.science/api/pith-number/ZM5T5KAW6GTUETIR2YVWNYYLRO/events.json","paper":"https://pith.science/paper/ZM5T5KAW"},"agent_actions":{"view_html":"https://pith.science/pith/ZM5T5KAW6GTUETIR2YVWNYYLRO","download_json":"https://pith.science/pith/ZM5T5KAW6GTUETIR2YVWNYYLRO.json","view_paper":"https://pith.science/paper/ZM5T5KAW","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1210.6778&json=true","fetch_graph":"https://pith.science/api/pith-number/ZM5T5KAW6GTUETIR2YVWNYYLRO/graph.json","fetch_events":"https://pith.science/api/pith-number/ZM5T5KAW6GTUETIR2YVWNYYLRO/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ZM5T5KAW6GTUETIR2YVWNYYLRO/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ZM5T5KAW6GTUETIR2YVWNYYLRO/action/storage_attestation","attest_author":"https://pith.science/pith/ZM5T5KAW6GTUETIR2YVWNYYLRO/action/author_attestation","sign_citation":"https://pith.science/pith/ZM5T5KAW6GTUETIR2YVWNYYLRO/action/citation_signature","submit_replication":"https://pith.science/pith/ZM5T5KAW6GTUETIR2YVWNYYLRO/action/replication_record"}},"created_at":"2026-05-18T03:21:12.214118+00:00","updated_at":"2026-05-18T03:21:12.214118+00:00"}