{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:KFOSO4WAWO4EUFD3OHCTUMHVBF","short_pith_number":"pith:KFOSO4WA","canonical_record":{"source":{"id":"1801.00171","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2017-12-30T18:11:59Z","cross_cats_sorted":["stat.ML"],"title_canon_sha256":"8108629b8ef42400ffdbc76e63fad558e6d9621801ac66a34818a5ea4026084e","abstract_canon_sha256":"54a7e9ebccb227196a5e0e87c0d47f4e4f0ae23a1bf5e87a2f1b0688823c9487"},"schema_version":"1.0"},"canonical_sha256":"515d2772c0b3b84a147b71c53a30f50941d10c1fb21f96e980ea2b2191b5c92d","source":{"kind":"arxiv","id":"1801.00171","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1801.00171","created_at":"2026-05-18T00:17:53Z"},{"alias_kind":"arxiv_version","alias_value":"1801.00171v2","created_at":"2026-05-18T00:17:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.00171","created_at":"2026-05-18T00:17:53Z"},{"alias_kind":"pith_short_12","alias_value":"KFOSO4WAWO4E","created_at":"2026-05-18T12:31:24Z"},{"alias_kind":"pith_short_16","alias_value":"KFOSO4WAWO4EUFD3","created_at":"2026-05-18T12:31:24Z"},{"alias_kind":"pith_short_8","alias_value":"KFOSO4WA","created_at":"2026-05-18T12:31:24Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:KFOSO4WAWO4EUFD3OHCTUMHVBF","target":"record","payload":{"canonical_record":{"source":{"id":"1801.00171","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2017-12-30T18:11:59Z","cross_cats_sorted":["stat.ML"],"title_canon_sha256":"8108629b8ef42400ffdbc76e63fad558e6d9621801ac66a34818a5ea4026084e","abstract_canon_sha256":"54a7e9ebccb227196a5e0e87c0d47f4e4f0ae23a1bf5e87a2f1b0688823c9487"},"schema_version":"1.0"},"canonical_sha256":"515d2772c0b3b84a147b71c53a30f50941d10c1fb21f96e980ea2b2191b5c92d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:17:53.766002Z","signature_b64":"FW70Cs7ygdF4pZBFy+iLxjiDlqoimbVsAxZxZJ5xx9BXCFo3THp6zVHpM0TVrm405c8gHR/BlYYy10ZLouyUDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"515d2772c0b3b84a147b71c53a30f50941d10c1fb21f96e980ea2b2191b5c92d","last_reissued_at":"2026-05-18T00:17:53.765402Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:17:53.765402Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1801.00171","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":"2026-05-18T00:17:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"md0fGTvbiPmDH4IyUpFsipVgvXvdMroDjtBlx+48AELGP/VnI1eoGb/Bq4JDmNEX/NZtgHSXpGVs+jBxUWt7Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-21T12:15:37.036298Z"},"content_sha256":"3ad16a10c3e589f573c2a0b4df729c4a708599c4be8924637cbd0d9766ffd6e9","schema_version":"1.0","event_id":"sha256:3ad16a10c3e589f573c2a0b4df729c4a708599c4be8924637cbd0d9766ffd6e9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:KFOSO4WAWO4EUFD3OHCTUMHVBF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"PAC-Bayesian Margin Bounds for Convolutional Neural Networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.ML"],"primary_cat":"cs.LG","authors_text":"Konstantinos Pitas, Mike Davies, Pierre Vandergheynst","submitted_at":"2017-12-30T18:11:59Z","abstract_excerpt":"Recently the generalization error of deep neural networks has been analyzed through the PAC-Bayesian framework, for the case of fully connected layers. We adapt this approach to the convolutional setting."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.00171","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":"2026-05-18T00:17:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"s00lXmiF/T5PWaF2ogMLXB/TreHqeI9IMC6LZBaPqexHjo4wIqjMKSwaYOv3t5xhtAEKvUh8KHpd+MUzUqlgDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-21T12:15:37.037232Z"},"content_sha256":"d776505640a533d095cf9289bf0a318b0470c2b31d2c99fd71fae5cfecf51d07","schema_version":"1.0","event_id":"sha256:d776505640a533d095cf9289bf0a318b0470c2b31d2c99fd71fae5cfecf51d07"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KFOSO4WAWO4EUFD3OHCTUMHVBF/bundle.json","state_url":"https://pith.science/pith/KFOSO4WAWO4EUFD3OHCTUMHVBF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KFOSO4WAWO4EUFD3OHCTUMHVBF/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":"2026-08-21T12:15:37Z","links":{"resolver":"https://pith.science/pith/KFOSO4WAWO4EUFD3OHCTUMHVBF","bundle":"https://pith.science/pith/KFOSO4WAWO4EUFD3OHCTUMHVBF/bundle.json","state":"https://pith.science/pith/KFOSO4WAWO4EUFD3OHCTUMHVBF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KFOSO4WAWO4EUFD3OHCTUMHVBF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:KFOSO4WAWO4EUFD3OHCTUMHVBF","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":"54a7e9ebccb227196a5e0e87c0d47f4e4f0ae23a1bf5e87a2f1b0688823c9487","cross_cats_sorted":["stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2017-12-30T18:11:59Z","title_canon_sha256":"8108629b8ef42400ffdbc76e63fad558e6d9621801ac66a34818a5ea4026084e"},"schema_version":"1.0","source":{"id":"1801.00171","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1801.00171","created_at":"2026-05-18T00:17:53Z"},{"alias_kind":"arxiv_version","alias_value":"1801.00171v2","created_at":"2026-05-18T00:17:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.00171","created_at":"2026-05-18T00:17:53Z"},{"alias_kind":"pith_short_12","alias_value":"KFOSO4WAWO4E","created_at":"2026-05-18T12:31:24Z"},{"alias_kind":"pith_short_16","alias_value":"KFOSO4WAWO4EUFD3","created_at":"2026-05-18T12:31:24Z"},{"alias_kind":"pith_short_8","alias_value":"KFOSO4WA","created_at":"2026-05-18T12:31:24Z"}],"graph_snapshots":[{"event_id":"sha256:d776505640a533d095cf9289bf0a318b0470c2b31d2c99fd71fae5cfecf51d07","target":"graph","created_at":"2026-05-18T00:17:53Z","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":"Recently the generalization error of deep neural networks has been analyzed through the PAC-Bayesian framework, for the case of fully connected layers. We adapt this approach to the convolutional setting.","authors_text":"Konstantinos Pitas, Mike Davies, Pierre Vandergheynst","cross_cats":["stat.ML"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2017-12-30T18:11:59Z","title":"PAC-Bayesian Margin Bounds for Convolutional Neural Networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.00171","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":"sha256:3ad16a10c3e589f573c2a0b4df729c4a708599c4be8924637cbd0d9766ffd6e9","target":"record","created_at":"2026-05-18T00:17:53Z","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":"54a7e9ebccb227196a5e0e87c0d47f4e4f0ae23a1bf5e87a2f1b0688823c9487","cross_cats_sorted":["stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2017-12-30T18:11:59Z","title_canon_sha256":"8108629b8ef42400ffdbc76e63fad558e6d9621801ac66a34818a5ea4026084e"},"schema_version":"1.0","source":{"id":"1801.00171","kind":"arxiv","version":2}},"canonical_sha256":"515d2772c0b3b84a147b71c53a30f50941d10c1fb21f96e980ea2b2191b5c92d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"515d2772c0b3b84a147b71c53a30f50941d10c1fb21f96e980ea2b2191b5c92d","first_computed_at":"2026-05-18T00:17:53.765402Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:17:53.765402Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"FW70Cs7ygdF4pZBFy+iLxjiDlqoimbVsAxZxZJ5xx9BXCFo3THp6zVHpM0TVrm405c8gHR/BlYYy10ZLouyUDg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:17:53.766002Z","signed_message":"canonical_sha256_bytes"},"source_id":"1801.00171","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3ad16a10c3e589f573c2a0b4df729c4a708599c4be8924637cbd0d9766ffd6e9","sha256:d776505640a533d095cf9289bf0a318b0470c2b31d2c99fd71fae5cfecf51d07"],"state_sha256":"88ca71dbdc00f0f79260fc66aefcca51ba3e06738d55f79a4683c48906d295ce"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"a2qZNPI3N5SX9XZJ8mE7FYiPeuwzU7HHhYGfoWCyHYOjruxKyTtkxpU/E3GME0gjyGbgrc6Al1SRgPu/nyqMCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-21T12:15:37.044137Z","bundle_sha256":"4e5fd6e7c223573f0b0688719c18381088b133ba982602c1e97f350ce85ddad1"}}