{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:JN56SVOEW4IENYISIEOVQF4FT2","short_pith_number":"pith:JN56SVOE","canonical_record":{"source":{"id":"2406.10793","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OC","submitted_at":"2024-06-16T03:36:19Z","cross_cats_sorted":[],"title_canon_sha256":"4d9c003bcc28f975aa7ee62a662bf9a65ad48a93b46adca7461d01f54eee6311","abstract_canon_sha256":"b961bcb037788fd972db9455ea4d089f78cbcf5f37d8b0151cbfc91818dc089e"},"schema_version":"1.0"},"canonical_sha256":"4b7be955c4b71046e112411d5817859eb6292f7368909ba4fae43940badd5728","source":{"kind":"arxiv","id":"2406.10793","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2406.10793","created_at":"2026-07-05T10:36:25Z"},{"alias_kind":"arxiv_version","alias_value":"2406.10793v2","created_at":"2026-07-05T10:36:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2406.10793","created_at":"2026-07-05T10:36:25Z"},{"alias_kind":"pith_short_12","alias_value":"JN56SVOEW4IE","created_at":"2026-07-05T10:36:25Z"},{"alias_kind":"pith_short_16","alias_value":"JN56SVOEW4IENYIS","created_at":"2026-07-05T10:36:25Z"},{"alias_kind":"pith_short_8","alias_value":"JN56SVOE","created_at":"2026-07-05T10:36:25Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:JN56SVOEW4IENYISIEOVQF4FT2","target":"record","payload":{"canonical_record":{"source":{"id":"2406.10793","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OC","submitted_at":"2024-06-16T03:36:19Z","cross_cats_sorted":[],"title_canon_sha256":"4d9c003bcc28f975aa7ee62a662bf9a65ad48a93b46adca7461d01f54eee6311","abstract_canon_sha256":"b961bcb037788fd972db9455ea4d089f78cbcf5f37d8b0151cbfc91818dc089e"},"schema_version":"1.0"},"canonical_sha256":"4b7be955c4b71046e112411d5817859eb6292f7368909ba4fae43940badd5728","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:36:25.909899Z","signature_b64":"N9clYmgfdzTFYLr0ZJpfIy++xxISuMcamATZzCjxB4Cybab1kqJtjm2rXwvJ8ttQo2Kr4Mo4Eyw/aP24uJUDCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4b7be955c4b71046e112411d5817859eb6292f7368909ba4fae43940badd5728","last_reissued_at":"2026-07-05T10:36:25.909242Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:36:25.909242Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2406.10793","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T10:36:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1eqPm6a8suUfsKZe1PbQ2UkDeBnTmQJ1Jj0PTF482L+k9l+0xC20YGDrFBA7DHQNbfesYejs8BfNIY4j5fKWAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T03:05:07.730144Z"},"content_sha256":"d0d600c1576ef362549a94558fdf2085a1cbbde6c0c7108f7ff13e9263a6fd12","schema_version":"1.0","event_id":"sha256:d0d600c1576ef362549a94558fdf2085a1cbbde6c0c7108f7ff13e9263a6fd12"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:JN56SVOEW4IENYISIEOVQF4FT2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Symplectic Extra-gradient Type Method for Solving General Non-monotone Inclusion Problem","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Ya-Xiang Yuan, Yi Zhang","submitted_at":"2024-06-16T03:36:19Z","abstract_excerpt":"In recent years, accelerated extra-gradient methods have attracted much attention by researchers, for solving monotone inclusion problems. A limitation of most current accelerated extra-gradient methods lies in their direct utilization of the initial point, which can potentially decelerate numerical convergence rate. In this work, we present a new accelerated extra-gradient method, by utilizing the symplectic acceleration technique. We establish the inverse of quadratic convergence rate by employing the Lyapunov function technique. Also, we demonstrate a faster inverse of quadratic convergence"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2406.10793","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2406.10793/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T10:36:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"iQZTL9GWSifTKcfYUOgEW+cyVgrt3uFZBOsqNQo8NRP37YtZRIgKJwO+8C2WTo3KBpAOKcGncfQwrv/qjgOWBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T03:05:07.731013Z"},"content_sha256":"40ce2e378619b6386996de4caf05b9563738c101d76b225bec8ce9a63d4e515c","schema_version":"1.0","event_id":"sha256:40ce2e378619b6386996de4caf05b9563738c101d76b225bec8ce9a63d4e515c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JN56SVOEW4IENYISIEOVQF4FT2/bundle.json","state_url":"https://pith.science/pith/JN56SVOEW4IENYISIEOVQF4FT2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JN56SVOEW4IENYISIEOVQF4FT2/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":"2026-08-09T03:05:07Z","links":{"resolver":"https://pith.science/pith/JN56SVOEW4IENYISIEOVQF4FT2","bundle":"https://pith.science/pith/JN56SVOEW4IENYISIEOVQF4FT2/bundle.json","state":"https://pith.science/pith/JN56SVOEW4IENYISIEOVQF4FT2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JN56SVOEW4IENYISIEOVQF4FT2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:JN56SVOEW4IENYISIEOVQF4FT2","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":"b961bcb037788fd972db9455ea4d089f78cbcf5f37d8b0151cbfc91818dc089e","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OC","submitted_at":"2024-06-16T03:36:19Z","title_canon_sha256":"4d9c003bcc28f975aa7ee62a662bf9a65ad48a93b46adca7461d01f54eee6311"},"schema_version":"1.0","source":{"id":"2406.10793","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2406.10793","created_at":"2026-07-05T10:36:25Z"},{"alias_kind":"arxiv_version","alias_value":"2406.10793v2","created_at":"2026-07-05T10:36:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2406.10793","created_at":"2026-07-05T10:36:25Z"},{"alias_kind":"pith_short_12","alias_value":"JN56SVOEW4IE","created_at":"2026-07-05T10:36:25Z"},{"alias_kind":"pith_short_16","alias_value":"JN56SVOEW4IENYIS","created_at":"2026-07-05T10:36:25Z"},{"alias_kind":"pith_short_8","alias_value":"JN56SVOE","created_at":"2026-07-05T10:36:25Z"}],"graph_snapshots":[{"event_id":"sha256:40ce2e378619b6386996de4caf05b9563738c101d76b225bec8ce9a63d4e515c","target":"graph","created_at":"2026-07-05T10:36:25Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2406.10793/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In recent years, accelerated extra-gradient methods have attracted much attention by researchers, for solving monotone inclusion problems. A limitation of most current accelerated extra-gradient methods lies in their direct utilization of the initial point, which can potentially decelerate numerical convergence rate. In this work, we present a new accelerated extra-gradient method, by utilizing the symplectic acceleration technique. We establish the inverse of quadratic convergence rate by employing the Lyapunov function technique. Also, we demonstrate a faster inverse of quadratic convergence","authors_text":"Ya-Xiang Yuan, Yi Zhang","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OC","submitted_at":"2024-06-16T03:36:19Z","title":"Symplectic Extra-gradient Type Method for Solving General Non-monotone Inclusion Problem"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2406.10793","kind":"arxiv","version":2},"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:d0d600c1576ef362549a94558fdf2085a1cbbde6c0c7108f7ff13e9263a6fd12","target":"record","created_at":"2026-07-05T10:36:25Z","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":"b961bcb037788fd972db9455ea4d089f78cbcf5f37d8b0151cbfc91818dc089e","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OC","submitted_at":"2024-06-16T03:36:19Z","title_canon_sha256":"4d9c003bcc28f975aa7ee62a662bf9a65ad48a93b46adca7461d01f54eee6311"},"schema_version":"1.0","source":{"id":"2406.10793","kind":"arxiv","version":2}},"canonical_sha256":"4b7be955c4b71046e112411d5817859eb6292f7368909ba4fae43940badd5728","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4b7be955c4b71046e112411d5817859eb6292f7368909ba4fae43940badd5728","first_computed_at":"2026-07-05T10:36:25.909242Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:36:25.909242Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"N9clYmgfdzTFYLr0ZJpfIy++xxISuMcamATZzCjxB4Cybab1kqJtjm2rXwvJ8ttQo2Kr4Mo4Eyw/aP24uJUDCQ==","signature_status":"signed_v1","signed_at":"2026-07-05T10:36:25.909899Z","signed_message":"canonical_sha256_bytes"},"source_id":"2406.10793","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d0d600c1576ef362549a94558fdf2085a1cbbde6c0c7108f7ff13e9263a6fd12","sha256:40ce2e378619b6386996de4caf05b9563738c101d76b225bec8ce9a63d4e515c"],"state_sha256":"965b777135be9066e0f2afaf13c727c07d96d5d59ad50844c420b5aea52cedc4"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Mvfe3QOhqXpNiPPiah61fheEmbSKEjOnIB1z3u0b5A9z/m3LW1m5QxYUqlzzMIhAN0YvalU4sEbDTe9rU0FODw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-09T03:05:07.737461Z","bundle_sha256":"77bc93eeb44398a7a119d91f985109cc61911a80a4fb4d723f6e38a990240c10"}}