{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:DNOFSZHSI2I4BMRGG5LQU2DMLS","short_pith_number":"pith:DNOFSZHS","schema_version":"1.0","canonical_sha256":"1b5c5964f24691c0b22637570a686c5c982cbf1979fd7192977d289f9cfd5a42","source":{"kind":"arxiv","id":"1110.5706","version":1},"attestation_state":"computed","paper":{"title":"The Br\\'ezis-Browder Theorem in a general Banach space","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Heinz H. Bauschke, Jonathan M. Borwein, Liangjin Yao, Xianfu Wang","submitted_at":"2011-10-26T05:50:48Z","abstract_excerpt":"During the 1970s Br\\'ezis and Browder presented a now classical characterization of maximal monotonicity of monotone linear relations in reflexive spaces. In this paper, we extend and refine their result to a general Banach space."},"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":"1110.5706","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2011-10-26T05:50:48Z","cross_cats_sorted":[],"title_canon_sha256":"42f8cab2711056df73d47802a9a1866ab15d48d219ddc5436117c400f2f8e2dc","abstract_canon_sha256":"fc307a8ba4f1caf4979cfbc94925d4577cd18ee48c2dd44437bb086af1fc0ce9"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:10:11.565653Z","signature_b64":"s0IpByKNoyyfATJfRKo6auMQDmekcldscVD2CsHpa4vJI77vvvScs9T+8LzXrZrH4tBAA+YPYcIXkqJaCj5rDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1b5c5964f24691c0b22637570a686c5c982cbf1979fd7192977d289f9cfd5a42","last_reissued_at":"2026-05-18T04:10:11.564813Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:10:11.564813Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The Br\\'ezis-Browder Theorem in a general Banach space","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Heinz H. Bauschke, Jonathan M. Borwein, Liangjin Yao, Xianfu Wang","submitted_at":"2011-10-26T05:50:48Z","abstract_excerpt":"During the 1970s Br\\'ezis and Browder presented a now classical characterization of maximal monotonicity of monotone linear relations in reflexive spaces. In this paper, we extend and refine their result to a general Banach space."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1110.5706","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":"1110.5706","created_at":"2026-05-18T04:10:11.564946+00:00"},{"alias_kind":"arxiv_version","alias_value":"1110.5706v1","created_at":"2026-05-18T04:10:11.564946+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1110.5706","created_at":"2026-05-18T04:10:11.564946+00:00"},{"alias_kind":"pith_short_12","alias_value":"DNOFSZHSI2I4","created_at":"2026-05-18T12:26:26.731475+00:00"},{"alias_kind":"pith_short_16","alias_value":"DNOFSZHSI2I4BMRG","created_at":"2026-05-18T12:26:26.731475+00:00"},{"alias_kind":"pith_short_8","alias_value":"DNOFSZHS","created_at":"2026-05-18T12:26:26.731475+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/DNOFSZHSI2I4BMRGG5LQU2DMLS","json":"https://pith.science/pith/DNOFSZHSI2I4BMRGG5LQU2DMLS.json","graph_json":"https://pith.science/api/pith-number/DNOFSZHSI2I4BMRGG5LQU2DMLS/graph.json","events_json":"https://pith.science/api/pith-number/DNOFSZHSI2I4BMRGG5LQU2DMLS/events.json","paper":"https://pith.science/paper/DNOFSZHS"},"agent_actions":{"view_html":"https://pith.science/pith/DNOFSZHSI2I4BMRGG5LQU2DMLS","download_json":"https://pith.science/pith/DNOFSZHSI2I4BMRGG5LQU2DMLS.json","view_paper":"https://pith.science/paper/DNOFSZHS","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1110.5706&json=true","fetch_graph":"https://pith.science/api/pith-number/DNOFSZHSI2I4BMRGG5LQU2DMLS/graph.json","fetch_events":"https://pith.science/api/pith-number/DNOFSZHSI2I4BMRGG5LQU2DMLS/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/DNOFSZHSI2I4BMRGG5LQU2DMLS/action/timestamp_anchor","attest_storage":"https://pith.science/pith/DNOFSZHSI2I4BMRGG5LQU2DMLS/action/storage_attestation","attest_author":"https://pith.science/pith/DNOFSZHSI2I4BMRGG5LQU2DMLS/action/author_attestation","sign_citation":"https://pith.science/pith/DNOFSZHSI2I4BMRGG5LQU2DMLS/action/citation_signature","submit_replication":"https://pith.science/pith/DNOFSZHSI2I4BMRGG5LQU2DMLS/action/replication_record"}},"created_at":"2026-05-18T04:10:11.564946+00:00","updated_at":"2026-05-18T04:10:11.564946+00:00"}