{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:4L6N5TFLHPDN4A5HP7LVMBKA7A","short_pith_number":"pith:4L6N5TFL","canonical_record":{"source":{"id":"1809.09887","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2018-09-26T10:18:17Z","cross_cats_sorted":[],"title_canon_sha256":"0fd4898853dafb3fbd1709691bd4f8e3eab129f9366296bd67f7ecb83e238f1e","abstract_canon_sha256":"ad8a2a17c244489cd5c7e6217ac96e64c72c0baeb081bcc7855aa5679e6a18d6"},"schema_version":"1.0"},"canonical_sha256":"e2fcdeccab3bc6de03a77fd7560540f8219d84f14a3c534c643b689ccc00c4f5","source":{"kind":"arxiv","id":"1809.09887","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1809.09887","created_at":"2026-07-05T08:15:09Z"},{"alias_kind":"arxiv_version","alias_value":"1809.09887v1","created_at":"2026-07-05T08:15:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1809.09887","created_at":"2026-07-05T08:15:09Z"},{"alias_kind":"pith_short_12","alias_value":"4L6N5TFLHPDN","created_at":"2026-07-05T08:15:09Z"},{"alias_kind":"pith_short_16","alias_value":"4L6N5TFLHPDN4A5H","created_at":"2026-07-05T08:15:09Z"},{"alias_kind":"pith_short_8","alias_value":"4L6N5TFL","created_at":"2026-07-05T08:15:09Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:4L6N5TFLHPDN4A5HP7LVMBKA7A","target":"record","payload":{"canonical_record":{"source":{"id":"1809.09887","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2018-09-26T10:18:17Z","cross_cats_sorted":[],"title_canon_sha256":"0fd4898853dafb3fbd1709691bd4f8e3eab129f9366296bd67f7ecb83e238f1e","abstract_canon_sha256":"ad8a2a17c244489cd5c7e6217ac96e64c72c0baeb081bcc7855aa5679e6a18d6"},"schema_version":"1.0"},"canonical_sha256":"e2fcdeccab3bc6de03a77fd7560540f8219d84f14a3c534c643b689ccc00c4f5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T08:15:09.439033Z","signature_b64":"fUcAET3BF8MPJSotCFKxugr7Auo5OLCiHorVj+k8VxSf+F1V0nh839okK9o9kPU+rodu4rLgEdYPtI+azPgACg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e2fcdeccab3bc6de03a77fd7560540f8219d84f14a3c534c643b689ccc00c4f5","last_reissued_at":"2026-07-05T08:15:09.438557Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T08:15:09.438557Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1809.09887","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":"2026-07-05T08:15:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ji9hzOt5LBiNUSWS9d5rl6l3w7dCnOXZb6VDX5fDawqWaXUi+oGL1TffjxnbPaS9vUHh0zMcAcOlDodC1BfPAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-06T08:46:30.560865Z"},"content_sha256":"c5e5b16ad8cab209f4c3f7ddf4649e1436b85918e9afbdff9fc3a9e0530d8a41","schema_version":"1.0","event_id":"sha256:c5e5b16ad8cab209f4c3f7ddf4649e1436b85918e9afbdff9fc3a9e0530d8a41"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:4L6N5TFLHPDN4A5HP7LVMBKA7A","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Distributed Optimization over Lossy Networks via Relaxed Peaceman-Rachford Splitting: a Robust ADMM Approach","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Luca Schenato, Marco Todescato, Nicola Bastianello, Ruggero Carli","submitted_at":"2018-09-26T10:18:17Z","abstract_excerpt":"In this work we address the problem of distributed optimization of the sum of convex cost functions in the context of multi-agent systems over lossy communication networks. Building upon operator theory, first, we derive an ADMM-like algorithm that we refer to as relaxed ADMM (R-ADMM) via a generalized Peaceman-Rachford Splitting operator on the Lagrange dual formulation of the original optimization problem. This specific algorithm depends on two parameters, namely the averaging coefficient $\\alpha$ and the augmented Lagrangian coefficient $\\rho$. We show that by setting $\\alpha=1/2$ we recove"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1809.09887","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1809.09887/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":"2026-07-05T08:15:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"r4Wecd6dp7Sc8IqtUWOJNwXT0gMcigQpkhw3xJDAcHNKNj7+eSpvCDRoIz+S2L6nx+Yw6w5gVTv8PBVV8cm0BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-06T08:46:30.561738Z"},"content_sha256":"9e39a58cf3e98703f1c77490cfd3d8fc5f242f3ba20cfd900c6933300439dad9","schema_version":"1.0","event_id":"sha256:9e39a58cf3e98703f1c77490cfd3d8fc5f242f3ba20cfd900c6933300439dad9"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4L6N5TFLHPDN4A5HP7LVMBKA7A/bundle.json","state_url":"https://pith.science/pith/4L6N5TFLHPDN4A5HP7LVMBKA7A/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4L6N5TFLHPDN4A5HP7LVMBKA7A/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":"2026-08-06T08:46:30Z","links":{"resolver":"https://pith.science/pith/4L6N5TFLHPDN4A5HP7LVMBKA7A","bundle":"https://pith.science/pith/4L6N5TFLHPDN4A5HP7LVMBKA7A/bundle.json","state":"https://pith.science/pith/4L6N5TFLHPDN4A5HP7LVMBKA7A/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4L6N5TFLHPDN4A5HP7LVMBKA7A/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:4L6N5TFLHPDN4A5HP7LVMBKA7A","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":"ad8a2a17c244489cd5c7e6217ac96e64c72c0baeb081bcc7855aa5679e6a18d6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2018-09-26T10:18:17Z","title_canon_sha256":"0fd4898853dafb3fbd1709691bd4f8e3eab129f9366296bd67f7ecb83e238f1e"},"schema_version":"1.0","source":{"id":"1809.09887","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1809.09887","created_at":"2026-07-05T08:15:09Z"},{"alias_kind":"arxiv_version","alias_value":"1809.09887v1","created_at":"2026-07-05T08:15:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1809.09887","created_at":"2026-07-05T08:15:09Z"},{"alias_kind":"pith_short_12","alias_value":"4L6N5TFLHPDN","created_at":"2026-07-05T08:15:09Z"},{"alias_kind":"pith_short_16","alias_value":"4L6N5TFLHPDN4A5H","created_at":"2026-07-05T08:15:09Z"},{"alias_kind":"pith_short_8","alias_value":"4L6N5TFL","created_at":"2026-07-05T08:15:09Z"}],"graph_snapshots":[{"event_id":"sha256:9e39a58cf3e98703f1c77490cfd3d8fc5f242f3ba20cfd900c6933300439dad9","target":"graph","created_at":"2026-07-05T08:15:09Z","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/1809.09887/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this work we address the problem of distributed optimization of the sum of convex cost functions in the context of multi-agent systems over lossy communication networks. Building upon operator theory, first, we derive an ADMM-like algorithm that we refer to as relaxed ADMM (R-ADMM) via a generalized Peaceman-Rachford Splitting operator on the Lagrange dual formulation of the original optimization problem. This specific algorithm depends on two parameters, namely the averaging coefficient $\\alpha$ and the augmented Lagrangian coefficient $\\rho$. We show that by setting $\\alpha=1/2$ we recove","authors_text":"Luca Schenato, Marco Todescato, Nicola Bastianello, Ruggero Carli","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2018-09-26T10:18:17Z","title":"Distributed Optimization over Lossy Networks via Relaxed Peaceman-Rachford Splitting: a Robust ADMM Approach"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1809.09887","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:c5e5b16ad8cab209f4c3f7ddf4649e1436b85918e9afbdff9fc3a9e0530d8a41","target":"record","created_at":"2026-07-05T08:15:09Z","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":"ad8a2a17c244489cd5c7e6217ac96e64c72c0baeb081bcc7855aa5679e6a18d6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2018-09-26T10:18:17Z","title_canon_sha256":"0fd4898853dafb3fbd1709691bd4f8e3eab129f9366296bd67f7ecb83e238f1e"},"schema_version":"1.0","source":{"id":"1809.09887","kind":"arxiv","version":1}},"canonical_sha256":"e2fcdeccab3bc6de03a77fd7560540f8219d84f14a3c534c643b689ccc00c4f5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e2fcdeccab3bc6de03a77fd7560540f8219d84f14a3c534c643b689ccc00c4f5","first_computed_at":"2026-07-05T08:15:09.438557Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:15:09.438557Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"fUcAET3BF8MPJSotCFKxugr7Auo5OLCiHorVj+k8VxSf+F1V0nh839okK9o9kPU+rodu4rLgEdYPtI+azPgACg==","signature_status":"signed_v1","signed_at":"2026-07-05T08:15:09.439033Z","signed_message":"canonical_sha256_bytes"},"source_id":"1809.09887","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c5e5b16ad8cab209f4c3f7ddf4649e1436b85918e9afbdff9fc3a9e0530d8a41","sha256:9e39a58cf3e98703f1c77490cfd3d8fc5f242f3ba20cfd900c6933300439dad9"],"state_sha256":"6e9d7b984ffced25db92c39d8c7437a7b6e0a30fdc8f0361367cad4034b6bd02"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fO1EDX819ZMgVNn3pVrFgqTh9Rp9ZDo72vAj4NtNvPMTtb3TZQI/Thzwjhit+2ESqDEQQ/hiAZTz06jC3T1HCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-06T08:46:30.567060Z","bundle_sha256":"8d466d3ddb2ab2c496f2919a3e6a1ef627923aea31cf0b8bd0b259dabfd3a1f8"}}