{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:WU54LQLTMP3JLRGOV5HHZ3GTID","short_pith_number":"pith:WU54LQLT","canonical_record":{"source":{"id":"1711.01936","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2017-11-02T19:38:16Z","cross_cats_sorted":[],"title_canon_sha256":"3a4fe29599e5758d9bc61bd436974252f2f9b08c253ecea18f6338ef5b30733f","abstract_canon_sha256":"a6d37b27cfdcf9ea2a19e24631ec489dad9c8eaf2e2e2e0dc0a97a200b89d7f8"},"schema_version":"1.0"},"canonical_sha256":"b53bc5c17363f695c4ceaf4e7cecd340f5680ba8daa05a37e993e5cdf1cb94bc","source":{"kind":"arxiv","id":"1711.01936","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1711.01936","created_at":"2026-05-18T00:30:21Z"},{"alias_kind":"arxiv_version","alias_value":"1711.01936v3","created_at":"2026-05-18T00:30:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1711.01936","created_at":"2026-05-18T00:30:21Z"},{"alias_kind":"pith_short_12","alias_value":"WU54LQLTMP3J","created_at":"2026-05-18T12:31:53Z"},{"alias_kind":"pith_short_16","alias_value":"WU54LQLTMP3JLRGO","created_at":"2026-05-18T12:31:53Z"},{"alias_kind":"pith_short_8","alias_value":"WU54LQLT","created_at":"2026-05-18T12:31:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:WU54LQLTMP3JLRGOV5HHZ3GTID","target":"record","payload":{"canonical_record":{"source":{"id":"1711.01936","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2017-11-02T19:38:16Z","cross_cats_sorted":[],"title_canon_sha256":"3a4fe29599e5758d9bc61bd436974252f2f9b08c253ecea18f6338ef5b30733f","abstract_canon_sha256":"a6d37b27cfdcf9ea2a19e24631ec489dad9c8eaf2e2e2e0dc0a97a200b89d7f8"},"schema_version":"1.0"},"canonical_sha256":"b53bc5c17363f695c4ceaf4e7cecd340f5680ba8daa05a37e993e5cdf1cb94bc","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:30:21.757918Z","signature_b64":"fokKavsW04IcoNwQv0pdXLsaeLPuHNgGgl6e/NYkojIlvbIB5BGxgKSaEOc4uiVnY8YX7oTpCB67UFmTMY3QBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b53bc5c17363f695c4ceaf4e7cecd340f5680ba8daa05a37e993e5cdf1cb94bc","last_reissued_at":"2026-05-18T00:30:21.757192Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:30:21.757192Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1711.01936","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:30:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"STn/AOPWXzlXRA8IiRws5XfiaEYRdBeBIr+zVJWVLLRNk8UYfG38qHYuyYQRHoVu+VpFehtw3fVTaqjAMVV6AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T14:36:19.885072Z"},"content_sha256":"6fa5bd40881b69c509f838f9d9c671178b87e7785f3d18db46fa8875e332f5b6","schema_version":"1.0","event_id":"sha256:6fa5bd40881b69c509f838f9d9c671178b87e7785f3d18db46fa8875e332f5b6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:WU54LQLTMP3JLRGOV5HHZ3GTID","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Convergence of projection and contraction algorithms with outer perturbations and their applications to sparse signals recovery","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Aviv Gibali, Dan Jiang, Qiao-Li Dong, Shang-Hong Ke","submitted_at":"2017-11-02T19:38:16Z","abstract_excerpt":"In this paper we study the bounded perturbation resilience of projection and contraction algorithms for solving variational inequality (VI) problems in real Hilbert spaces. Under typical and standard assumptions of monotonicity and Lipschitz continuity of the VI's associated mapping, convergence of the perturbed projection and contraction algorithms is proved. Based on the bounded perturbed resilience of projection and contraction algorithms, we present some inertial projection and contraction algorithms. In addition we show that the perturbed algorithms converges at the rate of $O(1/t)$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.01936","kind":"arxiv","version":3},"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":"2026-05-18T00:30:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0PB/bKgmj3m0N48U3ezKllcJzwLIZe5zB2c2a5yVSnUBKe7FbkJ9oC/2h1fIbCE2oj1WQeBQ0y13wvOAl1oMCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T14:36:19.885733Z"},"content_sha256":"896fc5ebd90b29e048418be64973c95fd644e72bf6607853e199e4ea9796c345","schema_version":"1.0","event_id":"sha256:896fc5ebd90b29e048418be64973c95fd644e72bf6607853e199e4ea9796c345"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WU54LQLTMP3JLRGOV5HHZ3GTID/bundle.json","state_url":"https://pith.science/pith/WU54LQLTMP3JLRGOV5HHZ3GTID/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WU54LQLTMP3JLRGOV5HHZ3GTID/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":"2026-06-08T14:36:19Z","links":{"resolver":"https://pith.science/pith/WU54LQLTMP3JLRGOV5HHZ3GTID","bundle":"https://pith.science/pith/WU54LQLTMP3JLRGOV5HHZ3GTID/bundle.json","state":"https://pith.science/pith/WU54LQLTMP3JLRGOV5HHZ3GTID/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WU54LQLTMP3JLRGOV5HHZ3GTID/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:WU54LQLTMP3JLRGOV5HHZ3GTID","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":"a6d37b27cfdcf9ea2a19e24631ec489dad9c8eaf2e2e2e0dc0a97a200b89d7f8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2017-11-02T19:38:16Z","title_canon_sha256":"3a4fe29599e5758d9bc61bd436974252f2f9b08c253ecea18f6338ef5b30733f"},"schema_version":"1.0","source":{"id":"1711.01936","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1711.01936","created_at":"2026-05-18T00:30:21Z"},{"alias_kind":"arxiv_version","alias_value":"1711.01936v3","created_at":"2026-05-18T00:30:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1711.01936","created_at":"2026-05-18T00:30:21Z"},{"alias_kind":"pith_short_12","alias_value":"WU54LQLTMP3J","created_at":"2026-05-18T12:31:53Z"},{"alias_kind":"pith_short_16","alias_value":"WU54LQLTMP3JLRGO","created_at":"2026-05-18T12:31:53Z"},{"alias_kind":"pith_short_8","alias_value":"WU54LQLT","created_at":"2026-05-18T12:31:53Z"}],"graph_snapshots":[{"event_id":"sha256:896fc5ebd90b29e048418be64973c95fd644e72bf6607853e199e4ea9796c345","target":"graph","created_at":"2026-05-18T00:30:21Z","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":"In this paper we study the bounded perturbation resilience of projection and contraction algorithms for solving variational inequality (VI) problems in real Hilbert spaces. Under typical and standard assumptions of monotonicity and Lipschitz continuity of the VI's associated mapping, convergence of the perturbed projection and contraction algorithms is proved. Based on the bounded perturbed resilience of projection and contraction algorithms, we present some inertial projection and contraction algorithms. In addition we show that the perturbed algorithms converges at the rate of $O(1/t)$.","authors_text":"Aviv Gibali, Dan Jiang, Qiao-Li Dong, Shang-Hong Ke","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2017-11-02T19:38:16Z","title":"Convergence of projection and contraction algorithms with outer perturbations and their applications to sparse signals recovery"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.01936","kind":"arxiv","version":3},"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":"sha256:6fa5bd40881b69c509f838f9d9c671178b87e7785f3d18db46fa8875e332f5b6","target":"record","created_at":"2026-05-18T00:30:21Z","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":"a6d37b27cfdcf9ea2a19e24631ec489dad9c8eaf2e2e2e0dc0a97a200b89d7f8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2017-11-02T19:38:16Z","title_canon_sha256":"3a4fe29599e5758d9bc61bd436974252f2f9b08c253ecea18f6338ef5b30733f"},"schema_version":"1.0","source":{"id":"1711.01936","kind":"arxiv","version":3}},"canonical_sha256":"b53bc5c17363f695c4ceaf4e7cecd340f5680ba8daa05a37e993e5cdf1cb94bc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b53bc5c17363f695c4ceaf4e7cecd340f5680ba8daa05a37e993e5cdf1cb94bc","first_computed_at":"2026-05-18T00:30:21.757192Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:30:21.757192Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"fokKavsW04IcoNwQv0pdXLsaeLPuHNgGgl6e/NYkojIlvbIB5BGxgKSaEOc4uiVnY8YX7oTpCB67UFmTMY3QBg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:30:21.757918Z","signed_message":"canonical_sha256_bytes"},"source_id":"1711.01936","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6fa5bd40881b69c509f838f9d9c671178b87e7785f3d18db46fa8875e332f5b6","sha256:896fc5ebd90b29e048418be64973c95fd644e72bf6607853e199e4ea9796c345"],"state_sha256":"21c5392d3ef6d836b826032510bfec02b5cea2c5405c3198f6a32e326f70a122"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+39dGFTZ8X7obqKj1ne0tTG9S37I8GDhtrVkCOILHIw6ydP6E/ZzcTUSSaliztIreuV+QzKQspeg5jwXqFQ7Dg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T14:36:19.888629Z","bundle_sha256":"def32cd2daed7e8b37e15dd297b50069e7694eafcf9ce6f4359d8d668b2d761c"}}