{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:4AUETMRGYDVVRXG4KA3VGY3BFD","short_pith_number":"pith:4AUETMRG","canonical_record":{"source":{"id":"1403.3522","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CV","submitted_at":"2014-03-14T10:30:47Z","cross_cats_sorted":["cs.NA","math.NA","math.OC"],"title_canon_sha256":"a803e84254b5d68d51d7c90ddb6c7ad38bd4dbda852fd56444382839b427796b","abstract_canon_sha256":"797b057c8a994a42b8ef0b4efe4cf45597175b25f691e8af00401c265fbdb469"},"schema_version":"1.0"},"canonical_sha256":"e02849b226c0eb58dcdc503753636128dccafd069138684b32ddd9bc91af7b55","source":{"kind":"arxiv","id":"1403.3522","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1403.3522","created_at":"2026-05-18T02:43:00Z"},{"alias_kind":"arxiv_version","alias_value":"1403.3522v2","created_at":"2026-05-18T02:43:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.3522","created_at":"2026-05-18T02:43:00Z"},{"alias_kind":"pith_short_12","alias_value":"4AUETMRGYDVV","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_16","alias_value":"4AUETMRGYDVVRXG4","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_8","alias_value":"4AUETMRG","created_at":"2026-05-18T12:28:14Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:4AUETMRGYDVVRXG4KA3VGY3BFD","target":"record","payload":{"canonical_record":{"source":{"id":"1403.3522","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CV","submitted_at":"2014-03-14T10:30:47Z","cross_cats_sorted":["cs.NA","math.NA","math.OC"],"title_canon_sha256":"a803e84254b5d68d51d7c90ddb6c7ad38bd4dbda852fd56444382839b427796b","abstract_canon_sha256":"797b057c8a994a42b8ef0b4efe4cf45597175b25f691e8af00401c265fbdb469"},"schema_version":"1.0"},"canonical_sha256":"e02849b226c0eb58dcdc503753636128dccafd069138684b32ddd9bc91af7b55","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:43:00.558887Z","signature_b64":"5szXvs2xwQOwV/9LBCJY3Rc1guHZe+CdkV0jJGeMgvxH2Dvayv9pzDzSlR5nVdqJSEQPFojEdQa93hOezvwJAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e02849b226c0eb58dcdc503753636128dccafd069138684b32ddd9bc91af7b55","last_reissued_at":"2026-05-18T02:43:00.558185Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:43:00.558185Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1403.3522","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":"2026-05-18T02:43:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3arYC4VpsY7jy3ouS5dvxL9EpCmS9e+SovYHhhmkkgJ4hkwaGzEyqCGzo279yAjUOWGqfOK7Sf7/v4smGeXhAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-20T14:38:55.513791Z"},"content_sha256":"d4312dc4cfa2bdfb09620658f8c4c79fad73d28fbe518afc03906d9b9db73816","schema_version":"1.0","event_id":"sha256:d4312dc4cfa2bdfb09620658f8c4c79fad73d28fbe518afc03906d9b9db73816"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:4AUETMRGYDVVRXG4KA3VGY3BFD","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"An inertial forward-backward algorithm for monotone inclusions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NA","math.NA","math.OC"],"primary_cat":"cs.CV","authors_text":"Dirk A. Lorenz, Thomas Pock","submitted_at":"2014-03-14T10:30:47Z","abstract_excerpt":"In this paper, we propose an inertial forward backward splitting algorithm to compute a zero of the sum of two monotone operators, with one of the two operators being co-coercive. The algorithm is inspired by the accelerated gradient method of Nesterov, but can be applied to a much larger class of problems including convex-concave saddle point problems and general monotone inclusions. We prove convergence of the algorithm in a Hilbert space setting and show that several recently proposed first-order methods can be obtained as special cases of the general algorithm. Numerical results show that "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.3522","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":""},"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":"2026-05-18T02:43:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"42ARoS7Cy0dy6M58fVGD/Bny28KFEkIRMiZExvpHLVI4FFHCd/ZyVaou9b/cL9V+H05wooxJvDEnx1r2bvmCAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-20T14:38:55.514145Z"},"content_sha256":"84947c0852e2b13158e032d701ede2d8381bbd683b0e353ce63ba15049573832","schema_version":"1.0","event_id":"sha256:84947c0852e2b13158e032d701ede2d8381bbd683b0e353ce63ba15049573832"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4AUETMRGYDVVRXG4KA3VGY3BFD/bundle.json","state_url":"https://pith.science/pith/4AUETMRGYDVVRXG4KA3VGY3BFD/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4AUETMRGYDVVRXG4KA3VGY3BFD/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":"2026-05-20T14:38:55Z","links":{"resolver":"https://pith.science/pith/4AUETMRGYDVVRXG4KA3VGY3BFD","bundle":"https://pith.science/pith/4AUETMRGYDVVRXG4KA3VGY3BFD/bundle.json","state":"https://pith.science/pith/4AUETMRGYDVVRXG4KA3VGY3BFD/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4AUETMRGYDVVRXG4KA3VGY3BFD/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:4AUETMRGYDVVRXG4KA3VGY3BFD","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":"797b057c8a994a42b8ef0b4efe4cf45597175b25f691e8af00401c265fbdb469","cross_cats_sorted":["cs.NA","math.NA","math.OC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CV","submitted_at":"2014-03-14T10:30:47Z","title_canon_sha256":"a803e84254b5d68d51d7c90ddb6c7ad38bd4dbda852fd56444382839b427796b"},"schema_version":"1.0","source":{"id":"1403.3522","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1403.3522","created_at":"2026-05-18T02:43:00Z"},{"alias_kind":"arxiv_version","alias_value":"1403.3522v2","created_at":"2026-05-18T02:43:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.3522","created_at":"2026-05-18T02:43:00Z"},{"alias_kind":"pith_short_12","alias_value":"4AUETMRGYDVV","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_16","alias_value":"4AUETMRGYDVVRXG4","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_8","alias_value":"4AUETMRG","created_at":"2026-05-18T12:28:14Z"}],"graph_snapshots":[{"event_id":"sha256:84947c0852e2b13158e032d701ede2d8381bbd683b0e353ce63ba15049573832","target":"graph","created_at":"2026-05-18T02:43:00Z","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 propose an inertial forward backward splitting algorithm to compute a zero of the sum of two monotone operators, with one of the two operators being co-coercive. The algorithm is inspired by the accelerated gradient method of Nesterov, but can be applied to a much larger class of problems including convex-concave saddle point problems and general monotone inclusions. We prove convergence of the algorithm in a Hilbert space setting and show that several recently proposed first-order methods can be obtained as special cases of the general algorithm. Numerical results show that ","authors_text":"Dirk A. Lorenz, Thomas Pock","cross_cats":["cs.NA","math.NA","math.OC"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CV","submitted_at":"2014-03-14T10:30:47Z","title":"An inertial forward-backward algorithm for monotone inclusions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.3522","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:d4312dc4cfa2bdfb09620658f8c4c79fad73d28fbe518afc03906d9b9db73816","target":"record","created_at":"2026-05-18T02:43:00Z","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":"797b057c8a994a42b8ef0b4efe4cf45597175b25f691e8af00401c265fbdb469","cross_cats_sorted":["cs.NA","math.NA","math.OC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CV","submitted_at":"2014-03-14T10:30:47Z","title_canon_sha256":"a803e84254b5d68d51d7c90ddb6c7ad38bd4dbda852fd56444382839b427796b"},"schema_version":"1.0","source":{"id":"1403.3522","kind":"arxiv","version":2}},"canonical_sha256":"e02849b226c0eb58dcdc503753636128dccafd069138684b32ddd9bc91af7b55","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e02849b226c0eb58dcdc503753636128dccafd069138684b32ddd9bc91af7b55","first_computed_at":"2026-05-18T02:43:00.558185Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:43:00.558185Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"5szXvs2xwQOwV/9LBCJY3Rc1guHZe+CdkV0jJGeMgvxH2Dvayv9pzDzSlR5nVdqJSEQPFojEdQa93hOezvwJAA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:43:00.558887Z","signed_message":"canonical_sha256_bytes"},"source_id":"1403.3522","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d4312dc4cfa2bdfb09620658f8c4c79fad73d28fbe518afc03906d9b9db73816","sha256:84947c0852e2b13158e032d701ede2d8381bbd683b0e353ce63ba15049573832"],"state_sha256":"70b1bb97f92a8922c3246d5f86f447dbfd64817d50d214c56508b5a6ea896b03"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TW6S4egBiY8J266GHwcli+OV1WhDVO7Qn4St/Fkb41RILOUziz0UGpBhC7kv+CG3vvG6IEOLXjNGs6Skxx7yCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-20T14:38:55.516095Z","bundle_sha256":"62cd12fe37e834c8a31769acaeaf456d540c4f18969a01ecbfd0e18d8f262ce5"}}