{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:A6VNWL5NZ2EWCJP3RVAYEHYPJM","short_pith_number":"pith:A6VNWL5N","schema_version":"1.0","canonical_sha256":"07aadb2fadce896125fb8d41821f0f4b07b36eb2650e94b07bd959b27d752c95","source":{"kind":"arxiv","id":"1904.09502","version":1},"attestation_state":"computed","paper":{"title":"On Weighted Hardy-Type Inequalities","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CA","authors_text":"Chian Yeong Chuah, Fritz Gesztesy, Isaac Michael, Lance L. Littlejohn, Michael M. H. Pang, Tao Mei","submitted_at":"2019-04-20T21:44:34Z","abstract_excerpt":"We revisit weighted Hardy-type inequalities employing an elementary ad hoc approach that yields explicit constants. We also discuss the infinite sequence of power weighted Birman-Hardy-Rellich-type inequalities and derive an operator-valued version thereof."},"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":"1904.09502","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2019-04-20T21:44:34Z","cross_cats_sorted":[],"title_canon_sha256":"b7bd50513d376dfa1b2ece1a5ad98f168c320fc39771be656073935d8485c89f","abstract_canon_sha256":"ce5a542c83dfef27f9cdd723abac5dcb8456ad86797400d7628514e86dac5393"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:48:04.045007Z","signature_b64":"7eFVUJDx4w521DgPo9An1OS/ulkf2/6wAsKTUWRo1fYKbaN9Pr+k6WoKynQaDWn9rq+YcFIOKRsqUhp+/gnkBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"07aadb2fadce896125fb8d41821f0f4b07b36eb2650e94b07bd959b27d752c95","last_reissued_at":"2026-05-17T23:48:04.044577Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:48:04.044577Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On Weighted Hardy-Type Inequalities","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CA","authors_text":"Chian Yeong Chuah, Fritz Gesztesy, Isaac Michael, Lance L. Littlejohn, Michael M. H. Pang, Tao Mei","submitted_at":"2019-04-20T21:44:34Z","abstract_excerpt":"We revisit weighted Hardy-type inequalities employing an elementary ad hoc approach that yields explicit constants. We also discuss the infinite sequence of power weighted Birman-Hardy-Rellich-type inequalities and derive an operator-valued version thereof."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1904.09502","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":""},"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":"1904.09502","created_at":"2026-05-17T23:48:04.044644+00:00"},{"alias_kind":"arxiv_version","alias_value":"1904.09502v1","created_at":"2026-05-17T23:48:04.044644+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1904.09502","created_at":"2026-05-17T23:48:04.044644+00:00"},{"alias_kind":"pith_short_12","alias_value":"A6VNWL5NZ2EW","created_at":"2026-05-18T12:33:12.712433+00:00"},{"alias_kind":"pith_short_16","alias_value":"A6VNWL5NZ2EWCJP3","created_at":"2026-05-18T12:33:12.712433+00:00"},{"alias_kind":"pith_short_8","alias_value":"A6VNWL5N","created_at":"2026-05-18T12:33:12.712433+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/A6VNWL5NZ2EWCJP3RVAYEHYPJM","json":"https://pith.science/pith/A6VNWL5NZ2EWCJP3RVAYEHYPJM.json","graph_json":"https://pith.science/api/pith-number/A6VNWL5NZ2EWCJP3RVAYEHYPJM/graph.json","events_json":"https://pith.science/api/pith-number/A6VNWL5NZ2EWCJP3RVAYEHYPJM/events.json","paper":"https://pith.science/paper/A6VNWL5N"},"agent_actions":{"view_html":"https://pith.science/pith/A6VNWL5NZ2EWCJP3RVAYEHYPJM","download_json":"https://pith.science/pith/A6VNWL5NZ2EWCJP3RVAYEHYPJM.json","view_paper":"https://pith.science/paper/A6VNWL5N","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1904.09502&json=true","fetch_graph":"https://pith.science/api/pith-number/A6VNWL5NZ2EWCJP3RVAYEHYPJM/graph.json","fetch_events":"https://pith.science/api/pith-number/A6VNWL5NZ2EWCJP3RVAYEHYPJM/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/A6VNWL5NZ2EWCJP3RVAYEHYPJM/action/timestamp_anchor","attest_storage":"https://pith.science/pith/A6VNWL5NZ2EWCJP3RVAYEHYPJM/action/storage_attestation","attest_author":"https://pith.science/pith/A6VNWL5NZ2EWCJP3RVAYEHYPJM/action/author_attestation","sign_citation":"https://pith.science/pith/A6VNWL5NZ2EWCJP3RVAYEHYPJM/action/citation_signature","submit_replication":"https://pith.science/pith/A6VNWL5NZ2EWCJP3RVAYEHYPJM/action/replication_record"}},"created_at":"2026-05-17T23:48:04.044644+00:00","updated_at":"2026-05-17T23:48:04.044644+00:00"}