{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:XE36XLGFOJAUSFEGHICX3PMDKR","short_pith_number":"pith:XE36XLGF","canonical_record":{"source":{"id":"1707.05816","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2017-07-18T18:43:44Z","cross_cats_sorted":[],"title_canon_sha256":"72907df4cb557a7f2d8c96cf2c9307b8f4cd74bf8ef58bea4a5750ff8535332c","abstract_canon_sha256":"eb397c3ac7770757277ae0e5d40a463bf4ebdb86b0a7a9e5481cda37d94cdf52"},"schema_version":"1.0"},"canonical_sha256":"b937ebacc572414914863a057dbd8354693ae3220aa1b28678c270cfc42816ba","source":{"kind":"arxiv","id":"1707.05816","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1707.05816","created_at":"2026-05-18T00:28:25Z"},{"alias_kind":"arxiv_version","alias_value":"1707.05816v2","created_at":"2026-05-18T00:28:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1707.05816","created_at":"2026-05-18T00:28:25Z"},{"alias_kind":"pith_short_12","alias_value":"XE36XLGFOJAU","created_at":"2026-05-18T12:31:53Z"},{"alias_kind":"pith_short_16","alias_value":"XE36XLGFOJAUSFEG","created_at":"2026-05-18T12:31:53Z"},{"alias_kind":"pith_short_8","alias_value":"XE36XLGF","created_at":"2026-05-18T12:31:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:XE36XLGFOJAUSFEGHICX3PMDKR","target":"record","payload":{"canonical_record":{"source":{"id":"1707.05816","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2017-07-18T18:43:44Z","cross_cats_sorted":[],"title_canon_sha256":"72907df4cb557a7f2d8c96cf2c9307b8f4cd74bf8ef58bea4a5750ff8535332c","abstract_canon_sha256":"eb397c3ac7770757277ae0e5d40a463bf4ebdb86b0a7a9e5481cda37d94cdf52"},"schema_version":"1.0"},"canonical_sha256":"b937ebacc572414914863a057dbd8354693ae3220aa1b28678c270cfc42816ba","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:28:25.066569Z","signature_b64":"ZTMGUpV5d+XYhvz5OqtQ5gF5x3oCSoNdqGDvXjErV4uXcNndgz+1/rJnKu2IuIoCMYeqoH2vRmPci3ju7EcNBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b937ebacc572414914863a057dbd8354693ae3220aa1b28678c270cfc42816ba","last_reissued_at":"2026-05-18T00:28:25.065976Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:28:25.065976Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1707.05816","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":"2026-05-18T00:28:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fbgrbFaPO9oiMgyQ2PIpek3tc5Mf/I1qx2ZErhwEO24U4Hp/idBRmQE6SwuxqBMIauc9H8Asnn6YOwchtczrDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T16:04:47.254004Z"},"content_sha256":"610883dd1bd0e2828c5669a551d92f19d39da19e2bd1e1bc1541187403a9f29d","schema_version":"1.0","event_id":"sha256:610883dd1bd0e2828c5669a551d92f19d39da19e2bd1e1bc1541187403a9f29d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:XE36XLGFOJAUSFEGHICX3PMDKR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Asynchronous Decentralized Stochastic Optimization in Heterogeneous Networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Alec Koppel, Amrit Singh Bedi, Ketan Rajawat","submitted_at":"2017-07-18T18:43:44Z","abstract_excerpt":"We consider expected risk minimization in multi-agent systems comprised of distinct subsets of agents operating without a common time-scale. Each individual in the network is charged with minimizing the global objective function, which is an average of sum of the statistical average loss function of each agent in the network. Since agents are not assumed to observe data from identical distributions, the hypothesis that all agents seek a common action is violated, and thus the hypothesis upon which consensus constraints are formulated is violated. Thus, we consider nonlinear network proximity c"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.05816","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":"2026-05-18T00:28:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DMs9hOtthmuB9OgOP+rMmJcQ38Ep9F1snRg3qhOdaNTAzyMXSyKP3dKrvJZ2X/yp59XGNsslIfqkO4ibsmzlDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T16:04:47.254363Z"},"content_sha256":"a907b227701b1c6c5d35af04cd71946f1a676437515511249b5b34ac14cb2021","schema_version":"1.0","event_id":"sha256:a907b227701b1c6c5d35af04cd71946f1a676437515511249b5b34ac14cb2021"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XE36XLGFOJAUSFEGHICX3PMDKR/bundle.json","state_url":"https://pith.science/pith/XE36XLGFOJAUSFEGHICX3PMDKR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XE36XLGFOJAUSFEGHICX3PMDKR/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":"2026-06-23T16:04:47Z","links":{"resolver":"https://pith.science/pith/XE36XLGFOJAUSFEGHICX3PMDKR","bundle":"https://pith.science/pith/XE36XLGFOJAUSFEGHICX3PMDKR/bundle.json","state":"https://pith.science/pith/XE36XLGFOJAUSFEGHICX3PMDKR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XE36XLGFOJAUSFEGHICX3PMDKR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:XE36XLGFOJAUSFEGHICX3PMDKR","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":"eb397c3ac7770757277ae0e5d40a463bf4ebdb86b0a7a9e5481cda37d94cdf52","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2017-07-18T18:43:44Z","title_canon_sha256":"72907df4cb557a7f2d8c96cf2c9307b8f4cd74bf8ef58bea4a5750ff8535332c"},"schema_version":"1.0","source":{"id":"1707.05816","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1707.05816","created_at":"2026-05-18T00:28:25Z"},{"alias_kind":"arxiv_version","alias_value":"1707.05816v2","created_at":"2026-05-18T00:28:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1707.05816","created_at":"2026-05-18T00:28:25Z"},{"alias_kind":"pith_short_12","alias_value":"XE36XLGFOJAU","created_at":"2026-05-18T12:31:53Z"},{"alias_kind":"pith_short_16","alias_value":"XE36XLGFOJAUSFEG","created_at":"2026-05-18T12:31:53Z"},{"alias_kind":"pith_short_8","alias_value":"XE36XLGF","created_at":"2026-05-18T12:31:53Z"}],"graph_snapshots":[{"event_id":"sha256:a907b227701b1c6c5d35af04cd71946f1a676437515511249b5b34ac14cb2021","target":"graph","created_at":"2026-05-18T00:28:25Z","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"},"paper":{"abstract_excerpt":"We consider expected risk minimization in multi-agent systems comprised of distinct subsets of agents operating without a common time-scale. Each individual in the network is charged with minimizing the global objective function, which is an average of sum of the statistical average loss function of each agent in the network. Since agents are not assumed to observe data from identical distributions, the hypothesis that all agents seek a common action is violated, and thus the hypothesis upon which consensus constraints are formulated is violated. Thus, we consider nonlinear network proximity c","authors_text":"Alec Koppel, Amrit Singh Bedi, Ketan Rajawat","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2017-07-18T18:43:44Z","title":"Asynchronous Decentralized Stochastic Optimization in Heterogeneous Networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.05816","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":"sha256:610883dd1bd0e2828c5669a551d92f19d39da19e2bd1e1bc1541187403a9f29d","target":"record","created_at":"2026-05-18T00:28:25Z","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":"eb397c3ac7770757277ae0e5d40a463bf4ebdb86b0a7a9e5481cda37d94cdf52","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2017-07-18T18:43:44Z","title_canon_sha256":"72907df4cb557a7f2d8c96cf2c9307b8f4cd74bf8ef58bea4a5750ff8535332c"},"schema_version":"1.0","source":{"id":"1707.05816","kind":"arxiv","version":2}},"canonical_sha256":"b937ebacc572414914863a057dbd8354693ae3220aa1b28678c270cfc42816ba","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b937ebacc572414914863a057dbd8354693ae3220aa1b28678c270cfc42816ba","first_computed_at":"2026-05-18T00:28:25.065976Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:28:25.065976Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ZTMGUpV5d+XYhvz5OqtQ5gF5x3oCSoNdqGDvXjErV4uXcNndgz+1/rJnKu2IuIoCMYeqoH2vRmPci3ju7EcNBw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:28:25.066569Z","signed_message":"canonical_sha256_bytes"},"source_id":"1707.05816","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:610883dd1bd0e2828c5669a551d92f19d39da19e2bd1e1bc1541187403a9f29d","sha256:a907b227701b1c6c5d35af04cd71946f1a676437515511249b5b34ac14cb2021"],"state_sha256":"a04c2e646362bc9cfbd5ba0b87a83b46af2cc6914b1028782530de8d6543756b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yXoeVpzcfoOn37DR2vJZih5rU5CZ7WLGKnjR53C4NDRMN2FXsN278KKGoAAneragHcxrTEgF8R2TeIONOxfNBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-23T16:04:47.256541Z","bundle_sha256":"878f7a7e4f36c457721408d00f1cd1a6a7b5ff1782ab5b02c8bfda51644556e2"}}