{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:LFPGUKX7PX3DTBU5L27BX7LO3F","short_pith_number":"pith:LFPGUKX7","canonical_record":{"source":{"id":"2312.15847","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2023-12-26T01:58:23Z","cross_cats_sorted":[],"title_canon_sha256":"9ff106594e6fd7c6e91a7bed7cabf265942f9cdcbdc87ccc12647580da3b3b00","abstract_canon_sha256":"1e6eb5e7b810da1d9f39b26b569356b236ba3de39911129d5a77db5b479f086e"},"schema_version":"1.0"},"canonical_sha256":"595e6a2aff7df639869d5ebe1bfd6ed97c1ec8821cb50a4f19292d3555bea952","source":{"kind":"arxiv","id":"2312.15847","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2312.15847","created_at":"2026-07-05T11:00:35Z"},{"alias_kind":"arxiv_version","alias_value":"2312.15847v3","created_at":"2026-07-05T11:00:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2312.15847","created_at":"2026-07-05T11:00:35Z"},{"alias_kind":"pith_short_12","alias_value":"LFPGUKX7PX3D","created_at":"2026-07-05T11:00:35Z"},{"alias_kind":"pith_short_16","alias_value":"LFPGUKX7PX3DTBU5","created_at":"2026-07-05T11:00:35Z"},{"alias_kind":"pith_short_8","alias_value":"LFPGUKX7","created_at":"2026-07-05T11:00:35Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:LFPGUKX7PX3DTBU5L27BX7LO3F","target":"record","payload":{"canonical_record":{"source":{"id":"2312.15847","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2023-12-26T01:58:23Z","cross_cats_sorted":[],"title_canon_sha256":"9ff106594e6fd7c6e91a7bed7cabf265942f9cdcbdc87ccc12647580da3b3b00","abstract_canon_sha256":"1e6eb5e7b810da1d9f39b26b569356b236ba3de39911129d5a77db5b479f086e"},"schema_version":"1.0"},"canonical_sha256":"595e6a2aff7df639869d5ebe1bfd6ed97c1ec8821cb50a4f19292d3555bea952","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:00:35.973555Z","signature_b64":"aT6i667hUIteBwjmCl1YqT2xP57iJLzpKJ2UKAVdtFGH6/iQLq3PFv7yyQb5w76fPP9lLU3aNLOJaG78WTOADw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"595e6a2aff7df639869d5ebe1bfd6ed97c1ec8821cb50a4f19292d3555bea952","last_reissued_at":"2026-07-05T11:00:35.973048Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:00:35.973048Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2312.15847","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T11:00:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sBnAMwThrlOuAUPwRvlJax8Lgs96KzMmWCVZNAJqTiFk3CGva0mYG/nZYhd7OTqoTmwGe6KmKDUuSPLxFTmDAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-21T12:29:25.370825Z"},"content_sha256":"ca2e5299a8f502ee4c8cf788cfe7ba6413dd679a4d4641256fe5cca9f2d052c2","schema_version":"1.0","event_id":"sha256:ca2e5299a8f502ee4c8cf788cfe7ba6413dd679a4d4641256fe5cca9f2d052c2"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:LFPGUKX7PX3DTBU5L27BX7LO3F","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Distributed Stochastic Optimization under Heavy-Tailed Noises","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Bo Chen, Chao Sun, Huiming Zhang, Li Yu","submitted_at":"2023-12-26T01:58:23Z","abstract_excerpt":"This paper studies the distributed optimization problem under the influence of heavy-tailed gradient noises. Here, a heavy-tailed noise means that the noise does not necessarily satisfy the bounded variance assumption. Instead, it satisfies a more general assumption. The commonly-used bounded variance assumption is a special case of the considered noise assumption. A typical example of this kind of noise is a Pareto distribution noise with tail index within (1,2], which has infinite variance. Despite that there has been several distributed optimization algorithms proposed for the heavy-tailed "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2312.15847","kind":"arxiv","version":3},"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/2312.15847/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":"2026-07-05T11:00:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"r3YjJeWSxsSmxzEC1RHByWeITJnaZCNj4QLRcTgwjvoSK73GxBA5/G0Qmp3qQysOOUewkVpOOvwZmuqPfxG8CA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-21T12:29:25.371338Z"},"content_sha256":"c7d553d9b04de7b19a2e977d205133680dfa36013c3d145e89851ed987399a21","schema_version":"1.0","event_id":"sha256:c7d553d9b04de7b19a2e977d205133680dfa36013c3d145e89851ed987399a21"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LFPGUKX7PX3DTBU5L27BX7LO3F/bundle.json","state_url":"https://pith.science/pith/LFPGUKX7PX3DTBU5L27BX7LO3F/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LFPGUKX7PX3DTBU5L27BX7LO3F/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":"2026-08-21T12:29:25Z","links":{"resolver":"https://pith.science/pith/LFPGUKX7PX3DTBU5L27BX7LO3F","bundle":"https://pith.science/pith/LFPGUKX7PX3DTBU5L27BX7LO3F/bundle.json","state":"https://pith.science/pith/LFPGUKX7PX3DTBU5L27BX7LO3F/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LFPGUKX7PX3DTBU5L27BX7LO3F/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:LFPGUKX7PX3DTBU5L27BX7LO3F","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":"1e6eb5e7b810da1d9f39b26b569356b236ba3de39911129d5a77db5b479f086e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2023-12-26T01:58:23Z","title_canon_sha256":"9ff106594e6fd7c6e91a7bed7cabf265942f9cdcbdc87ccc12647580da3b3b00"},"schema_version":"1.0","source":{"id":"2312.15847","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2312.15847","created_at":"2026-07-05T11:00:35Z"},{"alias_kind":"arxiv_version","alias_value":"2312.15847v3","created_at":"2026-07-05T11:00:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2312.15847","created_at":"2026-07-05T11:00:35Z"},{"alias_kind":"pith_short_12","alias_value":"LFPGUKX7PX3D","created_at":"2026-07-05T11:00:35Z"},{"alias_kind":"pith_short_16","alias_value":"LFPGUKX7PX3DTBU5","created_at":"2026-07-05T11:00:35Z"},{"alias_kind":"pith_short_8","alias_value":"LFPGUKX7","created_at":"2026-07-05T11:00:35Z"}],"graph_snapshots":[{"event_id":"sha256:c7d553d9b04de7b19a2e977d205133680dfa36013c3d145e89851ed987399a21","target":"graph","created_at":"2026-07-05T11:00:35Z","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/2312.15847/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This paper studies the distributed optimization problem under the influence of heavy-tailed gradient noises. Here, a heavy-tailed noise means that the noise does not necessarily satisfy the bounded variance assumption. Instead, it satisfies a more general assumption. The commonly-used bounded variance assumption is a special case of the considered noise assumption. A typical example of this kind of noise is a Pareto distribution noise with tail index within (1,2], which has infinite variance. Despite that there has been several distributed optimization algorithms proposed for the heavy-tailed ","authors_text":"Bo Chen, Chao Sun, Huiming Zhang, Li Yu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2023-12-26T01:58:23Z","title":"Distributed Stochastic Optimization under Heavy-Tailed Noises"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2312.15847","kind":"arxiv","version":3},"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:ca2e5299a8f502ee4c8cf788cfe7ba6413dd679a4d4641256fe5cca9f2d052c2","target":"record","created_at":"2026-07-05T11:00:35Z","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":"1e6eb5e7b810da1d9f39b26b569356b236ba3de39911129d5a77db5b479f086e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2023-12-26T01:58:23Z","title_canon_sha256":"9ff106594e6fd7c6e91a7bed7cabf265942f9cdcbdc87ccc12647580da3b3b00"},"schema_version":"1.0","source":{"id":"2312.15847","kind":"arxiv","version":3}},"canonical_sha256":"595e6a2aff7df639869d5ebe1bfd6ed97c1ec8821cb50a4f19292d3555bea952","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"595e6a2aff7df639869d5ebe1bfd6ed97c1ec8821cb50a4f19292d3555bea952","first_computed_at":"2026-07-05T11:00:35.973048Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:00:35.973048Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"aT6i667hUIteBwjmCl1YqT2xP57iJLzpKJ2UKAVdtFGH6/iQLq3PFv7yyQb5w76fPP9lLU3aNLOJaG78WTOADw==","signature_status":"signed_v1","signed_at":"2026-07-05T11:00:35.973555Z","signed_message":"canonical_sha256_bytes"},"source_id":"2312.15847","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ca2e5299a8f502ee4c8cf788cfe7ba6413dd679a4d4641256fe5cca9f2d052c2","sha256:c7d553d9b04de7b19a2e977d205133680dfa36013c3d145e89851ed987399a21"],"state_sha256":"81fa9c99c42357c5855f6d02679bb5bf550ac779a23ef82a53c7ed0ee5d8db41"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4GjxkaCdij6oukfQWXPHZqvGO3HVTHaBqPsNbnDkUw9W6igtIS+SI8z14UJaKkLjABFSaoeTrrXHpGMVbtXqAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-21T12:29:25.377269Z","bundle_sha256":"377748d0c4dcc7706482e20b49f2053081cc108147316bb584ccadbaef0b50b6"}}