{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2022:QRL2M6S4RGUKIRO47EUK7K7W36","short_pith_number":"pith:QRL2M6S4","canonical_record":{"source":{"id":"2207.00614","kind":"arxiv","version":8},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2022-07-01T18:22:44Z","cross_cats_sorted":["cs.LG"],"title_canon_sha256":"cd4729af34fb741cefd458805b2236a7f53f6eff561117182af23339c68a0b74","abstract_canon_sha256":"6aa1cad046b2b37a4b44ec2cd3b7d6850f92f34c717a47b3d1f41d8f29b0e270"},"schema_version":"1.0"},"canonical_sha256":"8457a67a5c89a8a445dcf928afabf6df9cd4f78d6f523d135c0d72edf1bd315d","source":{"kind":"arxiv","id":"2207.00614","version":8},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2207.00614","created_at":"2026-07-05T05:29:18Z"},{"alias_kind":"arxiv_version","alias_value":"2207.00614v8","created_at":"2026-07-05T05:29:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2207.00614","created_at":"2026-07-05T05:29:18Z"},{"alias_kind":"pith_short_12","alias_value":"QRL2M6S4RGUK","created_at":"2026-07-05T05:29:18Z"},{"alias_kind":"pith_short_16","alias_value":"QRL2M6S4RGUKIRO4","created_at":"2026-07-05T05:29:18Z"},{"alias_kind":"pith_short_8","alias_value":"QRL2M6S4","created_at":"2026-07-05T05:29:18Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2022:QRL2M6S4RGUKIRO47EUK7K7W36","target":"record","payload":{"canonical_record":{"source":{"id":"2207.00614","kind":"arxiv","version":8},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2022-07-01T18:22:44Z","cross_cats_sorted":["cs.LG"],"title_canon_sha256":"cd4729af34fb741cefd458805b2236a7f53f6eff561117182af23339c68a0b74","abstract_canon_sha256":"6aa1cad046b2b37a4b44ec2cd3b7d6850f92f34c717a47b3d1f41d8f29b0e270"},"schema_version":"1.0"},"canonical_sha256":"8457a67a5c89a8a445dcf928afabf6df9cd4f78d6f523d135c0d72edf1bd315d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T05:29:18.759489Z","signature_b64":"Qsi0JntiC3oSH7mkKDL7uN3ProgDrXY45EdI2tTppsG0Rzv0UtCPh42dhAhk7HN7qI3PSEnOsOlroWLs1Wt0BA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8457a67a5c89a8a445dcf928afabf6df9cd4f78d6f523d135c0d72edf1bd315d","last_reissued_at":"2026-07-05T05:29:18.759146Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T05:29:18.759146Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2207.00614","source_version":8,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T05:29:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vk7x7YQYiWHJCFmy5PKp/VP9r7bzozEtwPH0KX1SSX5KufPue8Af3I0jpPR/HHVV98+ZAX+6u+tvnRdlZNXuAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T06:14:45.869886Z"},"content_sha256":"8cd9d28d2e7e19c76c2c195f275deea10650cc6d6d3c336aa6cd2659fd3553c4","schema_version":"1.0","event_id":"sha256:8cd9d28d2e7e19c76c2c195f275deea10650cc6d6d3c336aa6cd2659fd3553c4"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2022:QRL2M6S4RGUKIRO47EUK7K7W36","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Integral Probability Metrics PAC-Bayes Bounds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.LG"],"primary_cat":"stat.ML","authors_text":"Baruch Epstein, Ron Amit, Ron Meir, Shay Moran","submitted_at":"2022-07-01T18:22:44Z","abstract_excerpt":"We present a PAC-Bayes-style generalization bound which enables the replacement of the KL-divergence with a variety of Integral Probability Metrics (IPM). We provide instances of this bound with the IPM being the total variation metric and the Wasserstein distance. A notable feature of the obtained bounds is that they naturally interpolate between classical uniform convergence bounds in the worst case (when the prior and posterior are far away from each other), and improved bounds in favorable cases (when the posterior and prior are close). This illustrates the possibility of reinforcing class"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2207.00614","kind":"arxiv","version":8},"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/2207.00614/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":"2026-07-05T05:29:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/6qqFCOvESO6IUcFN0CO8nDCRBsVKbaMUSPTXfDrC1IMv4BYgvQyL7/1LsE0ZrjUBpE+JexbDKtVLS2p+DsSDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T06:14:45.870447Z"},"content_sha256":"53e6bffd1bdb1368ecd808f3c7ad52f60ad29a7b122a5f0d4b52290a6f8d4f83","schema_version":"1.0","event_id":"sha256:53e6bffd1bdb1368ecd808f3c7ad52f60ad29a7b122a5f0d4b52290a6f8d4f83"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QRL2M6S4RGUKIRO47EUK7K7W36/bundle.json","state_url":"https://pith.science/pith/QRL2M6S4RGUKIRO47EUK7K7W36/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QRL2M6S4RGUKIRO47EUK7K7W36/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":"2026-08-05T06:14:45Z","links":{"resolver":"https://pith.science/pith/QRL2M6S4RGUKIRO47EUK7K7W36","bundle":"https://pith.science/pith/QRL2M6S4RGUKIRO47EUK7K7W36/bundle.json","state":"https://pith.science/pith/QRL2M6S4RGUKIRO47EUK7K7W36/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QRL2M6S4RGUKIRO47EUK7K7W36/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:QRL2M6S4RGUKIRO47EUK7K7W36","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":"6aa1cad046b2b37a4b44ec2cd3b7d6850f92f34c717a47b3d1f41d8f29b0e270","cross_cats_sorted":["cs.LG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2022-07-01T18:22:44Z","title_canon_sha256":"cd4729af34fb741cefd458805b2236a7f53f6eff561117182af23339c68a0b74"},"schema_version":"1.0","source":{"id":"2207.00614","kind":"arxiv","version":8}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2207.00614","created_at":"2026-07-05T05:29:18Z"},{"alias_kind":"arxiv_version","alias_value":"2207.00614v8","created_at":"2026-07-05T05:29:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2207.00614","created_at":"2026-07-05T05:29:18Z"},{"alias_kind":"pith_short_12","alias_value":"QRL2M6S4RGUK","created_at":"2026-07-05T05:29:18Z"},{"alias_kind":"pith_short_16","alias_value":"QRL2M6S4RGUKIRO4","created_at":"2026-07-05T05:29:18Z"},{"alias_kind":"pith_short_8","alias_value":"QRL2M6S4","created_at":"2026-07-05T05:29:18Z"}],"graph_snapshots":[{"event_id":"sha256:53e6bffd1bdb1368ecd808f3c7ad52f60ad29a7b122a5f0d4b52290a6f8d4f83","target":"graph","created_at":"2026-07-05T05:29:18Z","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/2207.00614/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We present a PAC-Bayes-style generalization bound which enables the replacement of the KL-divergence with a variety of Integral Probability Metrics (IPM). We provide instances of this bound with the IPM being the total variation metric and the Wasserstein distance. A notable feature of the obtained bounds is that they naturally interpolate between classical uniform convergence bounds in the worst case (when the prior and posterior are far away from each other), and improved bounds in favorable cases (when the posterior and prior are close). This illustrates the possibility of reinforcing class","authors_text":"Baruch Epstein, Ron Amit, Ron Meir, Shay Moran","cross_cats":["cs.LG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2022-07-01T18:22:44Z","title":"Integral Probability Metrics PAC-Bayes Bounds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2207.00614","kind":"arxiv","version":8},"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":"sha256:8cd9d28d2e7e19c76c2c195f275deea10650cc6d6d3c336aa6cd2659fd3553c4","target":"record","created_at":"2026-07-05T05:29:18Z","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":"6aa1cad046b2b37a4b44ec2cd3b7d6850f92f34c717a47b3d1f41d8f29b0e270","cross_cats_sorted":["cs.LG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2022-07-01T18:22:44Z","title_canon_sha256":"cd4729af34fb741cefd458805b2236a7f53f6eff561117182af23339c68a0b74"},"schema_version":"1.0","source":{"id":"2207.00614","kind":"arxiv","version":8}},"canonical_sha256":"8457a67a5c89a8a445dcf928afabf6df9cd4f78d6f523d135c0d72edf1bd315d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8457a67a5c89a8a445dcf928afabf6df9cd4f78d6f523d135c0d72edf1bd315d","first_computed_at":"2026-07-05T05:29:18.759146Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:29:18.759146Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Qsi0JntiC3oSH7mkKDL7uN3ProgDrXY45EdI2tTppsG0Rzv0UtCPh42dhAhk7HN7qI3PSEnOsOlroWLs1Wt0BA==","signature_status":"signed_v1","signed_at":"2026-07-05T05:29:18.759489Z","signed_message":"canonical_sha256_bytes"},"source_id":"2207.00614","source_kind":"arxiv","source_version":8}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8cd9d28d2e7e19c76c2c195f275deea10650cc6d6d3c336aa6cd2659fd3553c4","sha256:53e6bffd1bdb1368ecd808f3c7ad52f60ad29a7b122a5f0d4b52290a6f8d4f83"],"state_sha256":"7a5fe2e93e30631510557b21978e9b831536a355ea85e4a9512a90bc4421c378"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2Od7AsyhWurj1okB/gArR+r78epi/MvK+RtHckCDam04CSWs0f/R0IfBCAqdo+2SfaPim7fXCOAEZ29WyZ5MCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-05T06:14:45.877394Z","bundle_sha256":"7585dcbe42cdb20a9a265f95425a52f9b10cef7062e15f94161b2262668e9908"}}