{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:II2IMRAVMUQ3V35CKLE26FHSWN","short_pith_number":"pith:II2IMRAV","canonical_record":{"source":{"id":"1509.08574","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2015-09-29T02:59:04Z","cross_cats_sorted":[],"title_canon_sha256":"aef692b3450e1b457939f31bdf14ffc076cf834c64a32e6d3eb898719451c5af","abstract_canon_sha256":"a0eb05eaaea178cb54704dd2f89e05a246f2da894e563e408796ada2d59759a1"},"schema_version":"1.0"},"canonical_sha256":"42348644156521baefa252c9af14f2b346d8ab72227ecf11eba2ebf56a3f22ec","source":{"kind":"arxiv","id":"1509.08574","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1509.08574","created_at":"2026-05-18T01:31:47Z"},{"alias_kind":"arxiv_version","alias_value":"1509.08574v1","created_at":"2026-05-18T01:31:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.08574","created_at":"2026-05-18T01:31:47Z"},{"alias_kind":"pith_short_12","alias_value":"II2IMRAVMUQ3","created_at":"2026-05-18T12:29:25Z"},{"alias_kind":"pith_short_16","alias_value":"II2IMRAVMUQ3V35C","created_at":"2026-05-18T12:29:25Z"},{"alias_kind":"pith_short_8","alias_value":"II2IMRAV","created_at":"2026-05-18T12:29:25Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:II2IMRAVMUQ3V35CKLE26FHSWN","target":"record","payload":{"canonical_record":{"source":{"id":"1509.08574","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2015-09-29T02:59:04Z","cross_cats_sorted":[],"title_canon_sha256":"aef692b3450e1b457939f31bdf14ffc076cf834c64a32e6d3eb898719451c5af","abstract_canon_sha256":"a0eb05eaaea178cb54704dd2f89e05a246f2da894e563e408796ada2d59759a1"},"schema_version":"1.0"},"canonical_sha256":"42348644156521baefa252c9af14f2b346d8ab72227ecf11eba2ebf56a3f22ec","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:31:47.587572Z","signature_b64":"EXc+EKskt2BaR58tm+gmtwljRGA6dfVkRPKJf/jrTN5VoKnJVaSu/p3dDpTq1DfQ4PEDDNouU+Wszk4RxixNBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"42348644156521baefa252c9af14f2b346d8ab72227ecf11eba2ebf56a3f22ec","last_reissued_at":"2026-05-18T01:31:47.587228Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:31:47.587228Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1509.08574","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":"2026-05-18T01:31:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"C/rZQaWWIZry2p3DCNbTBzY8Cp4QkR1950xZhyKDhlgbUG8enXlHOk889tPvO4Q9pj6iDYFwDXirK+qYDggaBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T22:53:23.196271Z"},"content_sha256":"0572ce9806ee0a9d6a6a4549c29b53df54ecbe0a997b96452220c3cd7f0f7549","schema_version":"1.0","event_id":"sha256:0572ce9806ee0a9d6a6a4549c29b53df54ecbe0a997b96452220c3cd7f0f7549"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:II2IMRAVMUQ3V35CKLE26FHSWN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Network Independent Rates in Distributed Learning","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Alex Olshevsky, Angelia Nedi\\'c, C\\'esar A. Uribe","submitted_at":"2015-09-29T02:59:04Z","abstract_excerpt":"We propose a new belief update rule for Distributed Non-Bayesian learning in time-varying directed graphs, where a group of agents tries to collectively identify a hypothesis that best describes a sequence of observed data. We show that the proposed update rule, inspired by the Push-Sum algorithm, is consistent, moreover we provide an explicit characterization of its convergence rate. Our main result states that, after a transient time, all agents will concentrate their beliefs at a network independent rate. Network independent rates were not available for other consensus based distributed lea"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.08574","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":""},"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":"2026-05-18T01:31:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nIsL7QZAXt/BQkkhsC5+2owqqNWOXq20o/RAVD11mRhbHoF8LY1SUHjfTOEX1gEitem4TAdNi+jppd62c6ZABA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T22:53:23.196634Z"},"content_sha256":"a291250a8b3fa3239489c5af7597776676de3f3bfba2ebb5f654c2d276d4b81f","schema_version":"1.0","event_id":"sha256:a291250a8b3fa3239489c5af7597776676de3f3bfba2ebb5f654c2d276d4b81f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/II2IMRAVMUQ3V35CKLE26FHSWN/bundle.json","state_url":"https://pith.science/pith/II2IMRAVMUQ3V35CKLE26FHSWN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/II2IMRAVMUQ3V35CKLE26FHSWN/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":"2026-06-02T22:53:23Z","links":{"resolver":"https://pith.science/pith/II2IMRAVMUQ3V35CKLE26FHSWN","bundle":"https://pith.science/pith/II2IMRAVMUQ3V35CKLE26FHSWN/bundle.json","state":"https://pith.science/pith/II2IMRAVMUQ3V35CKLE26FHSWN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/II2IMRAVMUQ3V35CKLE26FHSWN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:II2IMRAVMUQ3V35CKLE26FHSWN","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":"a0eb05eaaea178cb54704dd2f89e05a246f2da894e563e408796ada2d59759a1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2015-09-29T02:59:04Z","title_canon_sha256":"aef692b3450e1b457939f31bdf14ffc076cf834c64a32e6d3eb898719451c5af"},"schema_version":"1.0","source":{"id":"1509.08574","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1509.08574","created_at":"2026-05-18T01:31:47Z"},{"alias_kind":"arxiv_version","alias_value":"1509.08574v1","created_at":"2026-05-18T01:31:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.08574","created_at":"2026-05-18T01:31:47Z"},{"alias_kind":"pith_short_12","alias_value":"II2IMRAVMUQ3","created_at":"2026-05-18T12:29:25Z"},{"alias_kind":"pith_short_16","alias_value":"II2IMRAVMUQ3V35C","created_at":"2026-05-18T12:29:25Z"},{"alias_kind":"pith_short_8","alias_value":"II2IMRAV","created_at":"2026-05-18T12:29:25Z"}],"graph_snapshots":[{"event_id":"sha256:a291250a8b3fa3239489c5af7597776676de3f3bfba2ebb5f654c2d276d4b81f","target":"graph","created_at":"2026-05-18T01:31:47Z","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 propose a new belief update rule for Distributed Non-Bayesian learning in time-varying directed graphs, where a group of agents tries to collectively identify a hypothesis that best describes a sequence of observed data. We show that the proposed update rule, inspired by the Push-Sum algorithm, is consistent, moreover we provide an explicit characterization of its convergence rate. Our main result states that, after a transient time, all agents will concentrate their beliefs at a network independent rate. Network independent rates were not available for other consensus based distributed lea","authors_text":"Alex Olshevsky, Angelia Nedi\\'c, C\\'esar A. Uribe","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2015-09-29T02:59:04Z","title":"Network Independent Rates in Distributed Learning"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.08574","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":"sha256:0572ce9806ee0a9d6a6a4549c29b53df54ecbe0a997b96452220c3cd7f0f7549","target":"record","created_at":"2026-05-18T01:31:47Z","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":"a0eb05eaaea178cb54704dd2f89e05a246f2da894e563e408796ada2d59759a1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2015-09-29T02:59:04Z","title_canon_sha256":"aef692b3450e1b457939f31bdf14ffc076cf834c64a32e6d3eb898719451c5af"},"schema_version":"1.0","source":{"id":"1509.08574","kind":"arxiv","version":1}},"canonical_sha256":"42348644156521baefa252c9af14f2b346d8ab72227ecf11eba2ebf56a3f22ec","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"42348644156521baefa252c9af14f2b346d8ab72227ecf11eba2ebf56a3f22ec","first_computed_at":"2026-05-18T01:31:47.587228Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:31:47.587228Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"EXc+EKskt2BaR58tm+gmtwljRGA6dfVkRPKJf/jrTN5VoKnJVaSu/p3dDpTq1DfQ4PEDDNouU+Wszk4RxixNBg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:31:47.587572Z","signed_message":"canonical_sha256_bytes"},"source_id":"1509.08574","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0572ce9806ee0a9d6a6a4549c29b53df54ecbe0a997b96452220c3cd7f0f7549","sha256:a291250a8b3fa3239489c5af7597776676de3f3bfba2ebb5f654c2d276d4b81f"],"state_sha256":"59df2b3e38d4c5d46a7e4e7f62d90616b9e28bf87c73f7bee556fd0948c71202"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"p1Iyxw+AFriG05pyPTcIl8g+OE8PXNIZMwz6LwCdCcpQoi/km21H7jnTvmKhpwMpdw6E7LsUSj/zK/08a8cSDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T22:53:23.198656Z","bundle_sha256":"c6050c9cdf97e772152dff4964360316e5d665f7f664d93c53120690a25db9b5"}}