{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:DDAPI6OMGVTKECMNCAOQNVCX5W","short_pith_number":"pith:DDAPI6OM","canonical_record":{"source":{"id":"1411.6199","kind":"arxiv","version":8},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2014-11-23T06:38:40Z","cross_cats_sorted":[],"title_canon_sha256":"a59a219a69eec1ea1db677d9ec00d7433913e414a9cf055321fed36f52010f7f","abstract_canon_sha256":"6427d99f3b4fdb915866e8f3c2289f6130ac75459125b93f92ccf29e547e0b4f"},"schema_version":"1.0"},"canonical_sha256":"18c0f479cc3566a2098d101d06d457ed8c681da0c4ad77710f569038a690383d","source":{"kind":"arxiv","id":"1411.6199","version":8},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1411.6199","created_at":"2026-05-17T23:54:37Z"},{"alias_kind":"arxiv_version","alias_value":"1411.6199v8","created_at":"2026-05-17T23:54:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1411.6199","created_at":"2026-05-17T23:54:37Z"},{"alias_kind":"pith_short_12","alias_value":"DDAPI6OMGVTK","created_at":"2026-05-18T12:28:25Z"},{"alias_kind":"pith_short_16","alias_value":"DDAPI6OMGVTKECMN","created_at":"2026-05-18T12:28:25Z"},{"alias_kind":"pith_short_8","alias_value":"DDAPI6OM","created_at":"2026-05-18T12:28:25Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:DDAPI6OMGVTKECMNCAOQNVCX5W","target":"record","payload":{"canonical_record":{"source":{"id":"1411.6199","kind":"arxiv","version":8},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2014-11-23T06:38:40Z","cross_cats_sorted":[],"title_canon_sha256":"a59a219a69eec1ea1db677d9ec00d7433913e414a9cf055321fed36f52010f7f","abstract_canon_sha256":"6427d99f3b4fdb915866e8f3c2289f6130ac75459125b93f92ccf29e547e0b4f"},"schema_version":"1.0"},"canonical_sha256":"18c0f479cc3566a2098d101d06d457ed8c681da0c4ad77710f569038a690383d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:54:37.195833Z","signature_b64":"dBXNjDFG+BnKOWcnKfG0Rptzt8kus6BTaXi0krTCOROd5yUvFRRVsm9k+FZjAsyJdqGbpJKx0U/AQBrrMEQ0Bg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"18c0f479cc3566a2098d101d06d457ed8c681da0c4ad77710f569038a690383d","last_reissued_at":"2026-05-17T23:54:37.195280Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:54:37.195280Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1411.6199","source_version":8,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:54:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"goaG5BlZh2jI/7GR1eVJ+kuElabQHZASLJlZBJ+qbxQ+QSA+7LCmEsS65YRaA2r1i4bFwhF7OsvG03nAACFQDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T13:51:44.540665Z"},"content_sha256":"3d6b47e26db5095ce6cc2f4b7a7bb696d125e5b21feec9ff9a6f9cf6dfa06719","schema_version":"1.0","event_id":"sha256:3d6b47e26db5095ce6cc2f4b7a7bb696d125e5b21feec9ff9a6f9cf6dfa06719"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:DDAPI6OMGVTKECMNCAOQNVCX5W","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Maximality of the sum of the monotone operator of type (FPV) and a maximal monotone operator","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"D. K. Pradhan, S. R. Pattanaik","submitted_at":"2014-11-23T06:38:40Z","abstract_excerpt":"Here, question raised by Borwein and Yao has been settled by establishing that the sum of two maximal monotone operators A and B is maximal monotone with the condition that A is of type (FPV) and satisfies Rockafellar's constraints qualification. Also we have proved that A+B is of type (FPV) without assuming convexity on the domain of A."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.6199","kind":"arxiv","version":8},"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":"2026-05-17T23:54:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xPtwCL5pGjOeF3MRuCBSyrJW8zmc6Yh0UVCIIZQ+cWQILVqhxAh45LZ5IhETyp4l3lzCqyaPuYLlg+N8TVzVBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T13:51:44.541000Z"},"content_sha256":"2c32d29c2c7543138c8fb80f1dccf4b9a4cd70254a80cc1b5ca05596bbc35d69","schema_version":"1.0","event_id":"sha256:2c32d29c2c7543138c8fb80f1dccf4b9a4cd70254a80cc1b5ca05596bbc35d69"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/DDAPI6OMGVTKECMNCAOQNVCX5W/bundle.json","state_url":"https://pith.science/pith/DDAPI6OMGVTKECMNCAOQNVCX5W/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/DDAPI6OMGVTKECMNCAOQNVCX5W/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":"2026-06-26T13:51:44Z","links":{"resolver":"https://pith.science/pith/DDAPI6OMGVTKECMNCAOQNVCX5W","bundle":"https://pith.science/pith/DDAPI6OMGVTKECMNCAOQNVCX5W/bundle.json","state":"https://pith.science/pith/DDAPI6OMGVTKECMNCAOQNVCX5W/state.json","well_known_bundle":"https://pith.science/.well-known/pith/DDAPI6OMGVTKECMNCAOQNVCX5W/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:DDAPI6OMGVTKECMNCAOQNVCX5W","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":"6427d99f3b4fdb915866e8f3c2289f6130ac75459125b93f92ccf29e547e0b4f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2014-11-23T06:38:40Z","title_canon_sha256":"a59a219a69eec1ea1db677d9ec00d7433913e414a9cf055321fed36f52010f7f"},"schema_version":"1.0","source":{"id":"1411.6199","kind":"arxiv","version":8}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1411.6199","created_at":"2026-05-17T23:54:37Z"},{"alias_kind":"arxiv_version","alias_value":"1411.6199v8","created_at":"2026-05-17T23:54:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1411.6199","created_at":"2026-05-17T23:54:37Z"},{"alias_kind":"pith_short_12","alias_value":"DDAPI6OMGVTK","created_at":"2026-05-18T12:28:25Z"},{"alias_kind":"pith_short_16","alias_value":"DDAPI6OMGVTKECMN","created_at":"2026-05-18T12:28:25Z"},{"alias_kind":"pith_short_8","alias_value":"DDAPI6OM","created_at":"2026-05-18T12:28:25Z"}],"graph_snapshots":[{"event_id":"sha256:2c32d29c2c7543138c8fb80f1dccf4b9a4cd70254a80cc1b5ca05596bbc35d69","target":"graph","created_at":"2026-05-17T23:54:37Z","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":"Here, question raised by Borwein and Yao has been settled by establishing that the sum of two maximal monotone operators A and B is maximal monotone with the condition that A is of type (FPV) and satisfies Rockafellar's constraints qualification. Also we have proved that A+B is of type (FPV) without assuming convexity on the domain of A.","authors_text":"D. K. Pradhan, S. R. Pattanaik","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2014-11-23T06:38:40Z","title":"Maximality of the sum of the monotone operator of type (FPV) and a maximal monotone operator"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.6199","kind":"arxiv","version":8},"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":"sha256:3d6b47e26db5095ce6cc2f4b7a7bb696d125e5b21feec9ff9a6f9cf6dfa06719","target":"record","created_at":"2026-05-17T23:54:37Z","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":"6427d99f3b4fdb915866e8f3c2289f6130ac75459125b93f92ccf29e547e0b4f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2014-11-23T06:38:40Z","title_canon_sha256":"a59a219a69eec1ea1db677d9ec00d7433913e414a9cf055321fed36f52010f7f"},"schema_version":"1.0","source":{"id":"1411.6199","kind":"arxiv","version":8}},"canonical_sha256":"18c0f479cc3566a2098d101d06d457ed8c681da0c4ad77710f569038a690383d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"18c0f479cc3566a2098d101d06d457ed8c681da0c4ad77710f569038a690383d","first_computed_at":"2026-05-17T23:54:37.195280Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:54:37.195280Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"dBXNjDFG+BnKOWcnKfG0Rptzt8kus6BTaXi0krTCOROd5yUvFRRVsm9k+FZjAsyJdqGbpJKx0U/AQBrrMEQ0Bg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:54:37.195833Z","signed_message":"canonical_sha256_bytes"},"source_id":"1411.6199","source_kind":"arxiv","source_version":8}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3d6b47e26db5095ce6cc2f4b7a7bb696d125e5b21feec9ff9a6f9cf6dfa06719","sha256:2c32d29c2c7543138c8fb80f1dccf4b9a4cd70254a80cc1b5ca05596bbc35d69"],"state_sha256":"752a876e72b42b62bdce8eee5cd06ed816d377661b6340f0178a6969b261d7ac"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kJ/CgN3CsKmkcfF5meZ1B6VcnK0Rs7Rjf0g6v1i4Qt2duuvx2wrpTC7FjkO+piuukPIuSL0gTtE8DxM235XDDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-26T13:51:44.542983Z","bundle_sha256":"ae909282cc96caee9afcf954fe0d2a3d76e3dfea0f47f164b9b694ea39b012fc"}}