{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:DNOFSZHSI2I4BMRGG5LQU2DMLS","short_pith_number":"pith:DNOFSZHS","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"},"canonical_sha256":"1b5c5964f24691c0b22637570a686c5c982cbf1979fd7192977d289f9cfd5a42","source":{"kind":"arxiv","id":"1110.5706","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1110.5706","created_at":"2026-05-18T04:10:11Z"},{"alias_kind":"arxiv_version","alias_value":"1110.5706v1","created_at":"2026-05-18T04:10:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1110.5706","created_at":"2026-05-18T04:10:11Z"},{"alias_kind":"pith_short_12","alias_value":"DNOFSZHSI2I4","created_at":"2026-05-18T12:26:26Z"},{"alias_kind":"pith_short_16","alias_value":"DNOFSZHSI2I4BMRG","created_at":"2026-05-18T12:26:26Z"},{"alias_kind":"pith_short_8","alias_value":"DNOFSZHS","created_at":"2026-05-18T12:26:26Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:DNOFSZHSI2I4BMRGG5LQU2DMLS","target":"record","payload":{"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"},"canonical_sha256":"1b5c5964f24691c0b22637570a686c5c982cbf1979fd7192977d289f9cfd5a42","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"},"source_kind":"arxiv","source_id":"1110.5706","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:10:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kAbrEjXQIKvyFyrL954V7JoZ//AS5gGlNarRE6mQvRWwTtcjmuLQh9qmAAA0bB4jmByoAagH5ctJGFbah/GDDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T12:13:47.704355Z"},"content_sha256":"aea291f1022f146979bbef6148bd281a7f5a943ee0813684bd4df2174ae3010e","schema_version":"1.0","event_id":"sha256:aea291f1022f146979bbef6148bd281a7f5a943ee0813684bd4df2174ae3010e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:DNOFSZHSI2I4BMRGG5LQU2DMLS","target":"graph","payload":{"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:10:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ri+Cn0+aNjmSJ7n/I1gxrgTVP+m4pASOgag7sRGa7sbKmHT5SVJ0O5BIYU9uVtarTwBdcfCpw5tI+OaXavyUAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T12:13:47.704752Z"},"content_sha256":"8ae432a8abb27f2b6bacc1ff046f0c06421f08ce9f358a715d90153430228bef","schema_version":"1.0","event_id":"sha256:8ae432a8abb27f2b6bacc1ff046f0c06421f08ce9f358a715d90153430228bef"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/DNOFSZHSI2I4BMRGG5LQU2DMLS/bundle.json","state_url":"https://pith.science/pith/DNOFSZHSI2I4BMRGG5LQU2DMLS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/DNOFSZHSI2I4BMRGG5LQU2DMLS/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-08T12:13:47Z","links":{"resolver":"https://pith.science/pith/DNOFSZHSI2I4BMRGG5LQU2DMLS","bundle":"https://pith.science/pith/DNOFSZHSI2I4BMRGG5LQU2DMLS/bundle.json","state":"https://pith.science/pith/DNOFSZHSI2I4BMRGG5LQU2DMLS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/DNOFSZHSI2I4BMRGG5LQU2DMLS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:DNOFSZHSI2I4BMRGG5LQU2DMLS","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":"fc307a8ba4f1caf4979cfbc94925d4577cd18ee48c2dd44437bb086af1fc0ce9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2011-10-26T05:50:48Z","title_canon_sha256":"42f8cab2711056df73d47802a9a1866ab15d48d219ddc5436117c400f2f8e2dc"},"schema_version":"1.0","source":{"id":"1110.5706","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1110.5706","created_at":"2026-05-18T04:10:11Z"},{"alias_kind":"arxiv_version","alias_value":"1110.5706v1","created_at":"2026-05-18T04:10:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1110.5706","created_at":"2026-05-18T04:10:11Z"},{"alias_kind":"pith_short_12","alias_value":"DNOFSZHSI2I4","created_at":"2026-05-18T12:26:26Z"},{"alias_kind":"pith_short_16","alias_value":"DNOFSZHSI2I4BMRG","created_at":"2026-05-18T12:26:26Z"},{"alias_kind":"pith_short_8","alias_value":"DNOFSZHS","created_at":"2026-05-18T12:26:26Z"}],"graph_snapshots":[{"event_id":"sha256:8ae432a8abb27f2b6bacc1ff046f0c06421f08ce9f358a715d90153430228bef","target":"graph","created_at":"2026-05-18T04:10:11Z","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":"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.","authors_text":"Heinz H. Bauschke, Jonathan M. Borwein, Liangjin Yao, Xianfu Wang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2011-10-26T05:50:48Z","title":"The Br\\'ezis-Browder Theorem in a general Banach space"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1110.5706","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:aea291f1022f146979bbef6148bd281a7f5a943ee0813684bd4df2174ae3010e","target":"record","created_at":"2026-05-18T04:10:11Z","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":"fc307a8ba4f1caf4979cfbc94925d4577cd18ee48c2dd44437bb086af1fc0ce9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2011-10-26T05:50:48Z","title_canon_sha256":"42f8cab2711056df73d47802a9a1866ab15d48d219ddc5436117c400f2f8e2dc"},"schema_version":"1.0","source":{"id":"1110.5706","kind":"arxiv","version":1}},"canonical_sha256":"1b5c5964f24691c0b22637570a686c5c982cbf1979fd7192977d289f9cfd5a42","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1b5c5964f24691c0b22637570a686c5c982cbf1979fd7192977d289f9cfd5a42","first_computed_at":"2026-05-18T04:10:11.564813Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:10:11.564813Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"s0IpByKNoyyfATJfRKo6auMQDmekcldscVD2CsHpa4vJI77vvvScs9T+8LzXrZrH4tBAA+YPYcIXkqJaCj5rDw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:10:11.565653Z","signed_message":"canonical_sha256_bytes"},"source_id":"1110.5706","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:aea291f1022f146979bbef6148bd281a7f5a943ee0813684bd4df2174ae3010e","sha256:8ae432a8abb27f2b6bacc1ff046f0c06421f08ce9f358a715d90153430228bef"],"state_sha256":"95c3b1a33edfae49b7f95810d50bc787ef151cd3bfdd74a9a306da859f967731"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CJydYo66qdwynksFPDsgq3CleHoIFCONV0SiDjXx/ODTcazGVJrBn9ZqG9UEfyCN0BuyO2FCV4vl5yjhVeGRCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T12:13:47.706714Z","bundle_sha256":"aaebf81b62489f2be08f51456274b39065f42d709bd9d1309a4b02736e567999"}}