{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:OOCKOH3BJ3FWQTEZMOUH4NBOGW","short_pith_number":"pith:OOCKOH3B","canonical_record":{"source":{"id":"2410.08977","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ML","submitted_at":"2024-10-11T16:49:01Z","cross_cats_sorted":["cs.LG"],"title_canon_sha256":"aa7b6cffe85681df678e63b14cf05721971f91a9590e3a7250a24c753bee3159","abstract_canon_sha256":"98c1b0c97d9df97c6f6a78e9434a3a66dbe398cf5e9ff023690c23de5acc8d4b"},"schema_version":"1.0"},"canonical_sha256":"7384a71f614ecb684c9963a87e342e358823601b064b1cd1d9fddc1ae5a8e07e","source":{"kind":"arxiv","id":"2410.08977","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2410.08977","created_at":"2026-07-05T09:19:20Z"},{"alias_kind":"arxiv_version","alias_value":"2410.08977v1","created_at":"2026-07-05T09:19:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2410.08977","created_at":"2026-07-05T09:19:20Z"},{"alias_kind":"pith_short_12","alias_value":"OOCKOH3BJ3FW","created_at":"2026-07-05T09:19:20Z"},{"alias_kind":"pith_short_16","alias_value":"OOCKOH3BJ3FWQTEZ","created_at":"2026-07-05T09:19:20Z"},{"alias_kind":"pith_short_8","alias_value":"OOCKOH3B","created_at":"2026-07-05T09:19:20Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:OOCKOH3BJ3FWQTEZMOUH4NBOGW","target":"record","payload":{"canonical_record":{"source":{"id":"2410.08977","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ML","submitted_at":"2024-10-11T16:49:01Z","cross_cats_sorted":["cs.LG"],"title_canon_sha256":"aa7b6cffe85681df678e63b14cf05721971f91a9590e3a7250a24c753bee3159","abstract_canon_sha256":"98c1b0c97d9df97c6f6a78e9434a3a66dbe398cf5e9ff023690c23de5acc8d4b"},"schema_version":"1.0"},"canonical_sha256":"7384a71f614ecb684c9963a87e342e358823601b064b1cd1d9fddc1ae5a8e07e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:19:20.273509Z","signature_b64":"mCMebKYGVFRki6g+Kf9DIiMmtiNr1z3JXr8JLu8j9uPlSJGyN+ZS6qQ0bbh+kS4s1jagZJEaXAwR8adyb17HAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7384a71f614ecb684c9963a87e342e358823601b064b1cd1d9fddc1ae5a8e07e","last_reissued_at":"2026-07-05T09:19:20.272950Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:19:20.272950Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2410.08977","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":"2026-07-05T09:19:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"e4go9VTRB8+IPCP/WTl0VJ87W05xJikVRfLO9j3Bi7baKuHWvhvR474MnBNe+glbH2R5xqqDb7E5N/glG4LACA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T17:36:41.810662Z"},"content_sha256":"27dd5196e9a2fc2341eda3d3ad825e3203f84d3894a5f3bff5fbe0455b0f04ac","schema_version":"1.0","event_id":"sha256:27dd5196e9a2fc2341eda3d3ad825e3203f84d3894a5f3bff5fbe0455b0f04ac"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:OOCKOH3BJ3FWQTEZMOUH4NBOGW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Online-to-PAC generalization bounds under graph-mixing dependencies","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.LG"],"primary_cat":"stat.ML","authors_text":"Baptiste Ab\\'el\\`es, Eugenio Clerico, Gergely Neu","submitted_at":"2024-10-11T16:49:01Z","abstract_excerpt":"Traditional generalization results in statistical learning require a training data set made of independently drawn examples. Most of the recent efforts to relax this independence assumption have considered either purely temporal (mixing) dependencies, or graph-dependencies, where non-adjacent vertices correspond to independent random variables. Both approaches have their own limitations, the former requiring a temporal ordered structure, and the latter lacking a way to quantify the strength of inter-dependencies. In this work, we bridge these two lines of work by proposing a framework where de"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2410.08977","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/2410.08977/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":"2026-07-05T09:19:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BBe7UFb4mM+citz4WuRJYKNwyBA0JuD1HjHce4Zg6a6GVRtkDm3O2yrUmDfT7DJHoGRJRZxaHnvAjJOqEBueDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T17:36:41.811331Z"},"content_sha256":"0c85840ff84c765dd33390c3c8aacfabcb858e151b80e5a295ce3f6d9b3082b5","schema_version":"1.0","event_id":"sha256:0c85840ff84c765dd33390c3c8aacfabcb858e151b80e5a295ce3f6d9b3082b5"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/OOCKOH3BJ3FWQTEZMOUH4NBOGW/bundle.json","state_url":"https://pith.science/pith/OOCKOH3BJ3FWQTEZMOUH4NBOGW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/OOCKOH3BJ3FWQTEZMOUH4NBOGW/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":"2026-08-08T17:36:41Z","links":{"resolver":"https://pith.science/pith/OOCKOH3BJ3FWQTEZMOUH4NBOGW","bundle":"https://pith.science/pith/OOCKOH3BJ3FWQTEZMOUH4NBOGW/bundle.json","state":"https://pith.science/pith/OOCKOH3BJ3FWQTEZMOUH4NBOGW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/OOCKOH3BJ3FWQTEZMOUH4NBOGW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:OOCKOH3BJ3FWQTEZMOUH4NBOGW","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":"98c1b0c97d9df97c6f6a78e9434a3a66dbe398cf5e9ff023690c23de5acc8d4b","cross_cats_sorted":["cs.LG"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ML","submitted_at":"2024-10-11T16:49:01Z","title_canon_sha256":"aa7b6cffe85681df678e63b14cf05721971f91a9590e3a7250a24c753bee3159"},"schema_version":"1.0","source":{"id":"2410.08977","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2410.08977","created_at":"2026-07-05T09:19:20Z"},{"alias_kind":"arxiv_version","alias_value":"2410.08977v1","created_at":"2026-07-05T09:19:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2410.08977","created_at":"2026-07-05T09:19:20Z"},{"alias_kind":"pith_short_12","alias_value":"OOCKOH3BJ3FW","created_at":"2026-07-05T09:19:20Z"},{"alias_kind":"pith_short_16","alias_value":"OOCKOH3BJ3FWQTEZ","created_at":"2026-07-05T09:19:20Z"},{"alias_kind":"pith_short_8","alias_value":"OOCKOH3B","created_at":"2026-07-05T09:19:20Z"}],"graph_snapshots":[{"event_id":"sha256:0c85840ff84c765dd33390c3c8aacfabcb858e151b80e5a295ce3f6d9b3082b5","target":"graph","created_at":"2026-07-05T09:19:20Z","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/2410.08977/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Traditional generalization results in statistical learning require a training data set made of independently drawn examples. Most of the recent efforts to relax this independence assumption have considered either purely temporal (mixing) dependencies, or graph-dependencies, where non-adjacent vertices correspond to independent random variables. Both approaches have their own limitations, the former requiring a temporal ordered structure, and the latter lacking a way to quantify the strength of inter-dependencies. In this work, we bridge these two lines of work by proposing a framework where de","authors_text":"Baptiste Ab\\'el\\`es, Eugenio Clerico, Gergely Neu","cross_cats":["cs.LG"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ML","submitted_at":"2024-10-11T16:49:01Z","title":"Online-to-PAC generalization bounds under graph-mixing dependencies"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2410.08977","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":"sha256:27dd5196e9a2fc2341eda3d3ad825e3203f84d3894a5f3bff5fbe0455b0f04ac","target":"record","created_at":"2026-07-05T09:19:20Z","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":"98c1b0c97d9df97c6f6a78e9434a3a66dbe398cf5e9ff023690c23de5acc8d4b","cross_cats_sorted":["cs.LG"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ML","submitted_at":"2024-10-11T16:49:01Z","title_canon_sha256":"aa7b6cffe85681df678e63b14cf05721971f91a9590e3a7250a24c753bee3159"},"schema_version":"1.0","source":{"id":"2410.08977","kind":"arxiv","version":1}},"canonical_sha256":"7384a71f614ecb684c9963a87e342e358823601b064b1cd1d9fddc1ae5a8e07e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7384a71f614ecb684c9963a87e342e358823601b064b1cd1d9fddc1ae5a8e07e","first_computed_at":"2026-07-05T09:19:20.272950Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:19:20.272950Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"mCMebKYGVFRki6g+Kf9DIiMmtiNr1z3JXr8JLu8j9uPlSJGyN+ZS6qQ0bbh+kS4s1jagZJEaXAwR8adyb17HAQ==","signature_status":"signed_v1","signed_at":"2026-07-05T09:19:20.273509Z","signed_message":"canonical_sha256_bytes"},"source_id":"2410.08977","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:27dd5196e9a2fc2341eda3d3ad825e3203f84d3894a5f3bff5fbe0455b0f04ac","sha256:0c85840ff84c765dd33390c3c8aacfabcb858e151b80e5a295ce3f6d9b3082b5"],"state_sha256":"e1bde83ed565eb1dcfec36cc8c38d0a7bdfc417e36acfb5b915f85bb5f3c2682"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TCZSZHNnikUtmzc0umC2M9izecnnOyamvclfTIFSBeEgD/oXYwci3Lpc0VR6yKvZOywSlvISlzJagEbK82fPDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-08T17:36:41.815775Z","bundle_sha256":"c1539e9a0904f8bd7ab9ec1aa4dc2328c7eedb23ab32445a95a4adb155f27edb"}}