{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2021:LPB5BUHCAAHDW5CPXBDHBYVYBP","short_pith_number":"pith:LPB5BUHC","canonical_record":{"source":{"id":"2109.10317","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2021-09-21T16:57:01Z","cross_cats_sorted":["cs.AI","cs.PL"],"title_canon_sha256":"3d142a9ad83509bdf321ba3f46c09da116ba1d519768db307edf43cab7908335","abstract_canon_sha256":"0f7ac46400319756a422f56a0752cf3a07a211f633f7cf8b72f9d53e3502cc2a"},"schema_version":"1.0"},"canonical_sha256":"5bc3d0d0e2000e3b744fb84670e2b80bc27f53c8162c134df44b4c8a307ab1ca","source":{"kind":"arxiv","id":"2109.10317","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2109.10317","created_at":"2026-07-05T03:20:03Z"},{"alias_kind":"arxiv_version","alias_value":"2109.10317v2","created_at":"2026-07-05T03:20:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2109.10317","created_at":"2026-07-05T03:20:03Z"},{"alias_kind":"pith_short_12","alias_value":"LPB5BUHCAAHD","created_at":"2026-07-05T03:20:03Z"},{"alias_kind":"pith_short_16","alias_value":"LPB5BUHCAAHDW5CP","created_at":"2026-07-05T03:20:03Z"},{"alias_kind":"pith_short_8","alias_value":"LPB5BUHC","created_at":"2026-07-05T03:20:03Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2021:LPB5BUHCAAHDW5CPXBDHBYVYBP","target":"record","payload":{"canonical_record":{"source":{"id":"2109.10317","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2021-09-21T16:57:01Z","cross_cats_sorted":["cs.AI","cs.PL"],"title_canon_sha256":"3d142a9ad83509bdf321ba3f46c09da116ba1d519768db307edf43cab7908335","abstract_canon_sha256":"0f7ac46400319756a422f56a0752cf3a07a211f633f7cf8b72f9d53e3502cc2a"},"schema_version":"1.0"},"canonical_sha256":"5bc3d0d0e2000e3b744fb84670e2b80bc27f53c8162c134df44b4c8a307ab1ca","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T03:20:03.610189Z","signature_b64":"XB31HNDyUdLZMgq+02UgGHC0tONdwYFkwQG7NRbYLsjKwpsoCXG2xCARvsJeHXFiOZ38iVeknT5WvL6bvN0lDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5bc3d0d0e2000e3b744fb84670e2b80bc27f53c8162c134df44b4c8a307ab1ca","last_reissued_at":"2026-07-05T03:20:03.609838Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T03:20:03.609838Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2109.10317","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":"2026-07-05T03:20:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KMplLm3k4hrueR+fRNQZLiCKoTtHQqKztXoKNzrSi8T1AeLHTwskq21HCGzd7Z5OlVKGX5vhKSz3V53EhVioBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T22:26:18.808118Z"},"content_sha256":"1fc416187149d4a800c97f6e8547f0a8dc6ce3209fc6072bf12b95e662ea75b9","schema_version":"1.0","event_id":"sha256:1fc416187149d4a800c97f6e8547f0a8dc6ce3209fc6072bf12b95e662ea75b9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2021:LPB5BUHCAAHDW5CPXBDHBYVYBP","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Introduction to Neural Network Verification","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.AI","cs.PL"],"primary_cat":"cs.LG","authors_text":"Aws Albarghouthi","submitted_at":"2021-09-21T16:57:01Z","abstract_excerpt":"Deep learning has transformed the way we think of software and what it can do. But deep neural networks are fragile and their behaviors are often surprising. In many settings, we need to provide formal guarantees on the safety, security, correctness, or robustness of neural networks. This book covers foundational ideas from formal verification and their adaptation to reasoning about neural networks and deep learning."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2109.10317","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2109.10317/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":"2026-07-05T03:20:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tIqRaBDXT9Leb1j31HEjM+v7UGEnfzM9Vbfz9vwsKB+6Dkj5S4cjbxcnKjMlxjlqmg2/FoTnP8/PN6x5UoI2Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T22:26:18.808764Z"},"content_sha256":"486228e537435efac35b1dd7e4c0d72d3aac4925d07dccae9a44f5ac9691d63f","schema_version":"1.0","event_id":"sha256:486228e537435efac35b1dd7e4c0d72d3aac4925d07dccae9a44f5ac9691d63f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LPB5BUHCAAHDW5CPXBDHBYVYBP/bundle.json","state_url":"https://pith.science/pith/LPB5BUHCAAHDW5CPXBDHBYVYBP/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LPB5BUHCAAHDW5CPXBDHBYVYBP/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":"2026-08-09T22:26:18Z","links":{"resolver":"https://pith.science/pith/LPB5BUHCAAHDW5CPXBDHBYVYBP","bundle":"https://pith.science/pith/LPB5BUHCAAHDW5CPXBDHBYVYBP/bundle.json","state":"https://pith.science/pith/LPB5BUHCAAHDW5CPXBDHBYVYBP/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LPB5BUHCAAHDW5CPXBDHBYVYBP/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:LPB5BUHCAAHDW5CPXBDHBYVYBP","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":"0f7ac46400319756a422f56a0752cf3a07a211f633f7cf8b72f9d53e3502cc2a","cross_cats_sorted":["cs.AI","cs.PL"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2021-09-21T16:57:01Z","title_canon_sha256":"3d142a9ad83509bdf321ba3f46c09da116ba1d519768db307edf43cab7908335"},"schema_version":"1.0","source":{"id":"2109.10317","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2109.10317","created_at":"2026-07-05T03:20:03Z"},{"alias_kind":"arxiv_version","alias_value":"2109.10317v2","created_at":"2026-07-05T03:20:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2109.10317","created_at":"2026-07-05T03:20:03Z"},{"alias_kind":"pith_short_12","alias_value":"LPB5BUHCAAHD","created_at":"2026-07-05T03:20:03Z"},{"alias_kind":"pith_short_16","alias_value":"LPB5BUHCAAHDW5CP","created_at":"2026-07-05T03:20:03Z"},{"alias_kind":"pith_short_8","alias_value":"LPB5BUHC","created_at":"2026-07-05T03:20:03Z"}],"graph_snapshots":[{"event_id":"sha256:486228e537435efac35b1dd7e4c0d72d3aac4925d07dccae9a44f5ac9691d63f","target":"graph","created_at":"2026-07-05T03:20:03Z","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/2109.10317/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Deep learning has transformed the way we think of software and what it can do. But deep neural networks are fragile and their behaviors are often surprising. In many settings, we need to provide formal guarantees on the safety, security, correctness, or robustness of neural networks. This book covers foundational ideas from formal verification and their adaptation to reasoning about neural networks and deep learning.","authors_text":"Aws Albarghouthi","cross_cats":["cs.AI","cs.PL"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2021-09-21T16:57:01Z","title":"Introduction to Neural Network Verification"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2109.10317","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":"sha256:1fc416187149d4a800c97f6e8547f0a8dc6ce3209fc6072bf12b95e662ea75b9","target":"record","created_at":"2026-07-05T03:20:03Z","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":"0f7ac46400319756a422f56a0752cf3a07a211f633f7cf8b72f9d53e3502cc2a","cross_cats_sorted":["cs.AI","cs.PL"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2021-09-21T16:57:01Z","title_canon_sha256":"3d142a9ad83509bdf321ba3f46c09da116ba1d519768db307edf43cab7908335"},"schema_version":"1.0","source":{"id":"2109.10317","kind":"arxiv","version":2}},"canonical_sha256":"5bc3d0d0e2000e3b744fb84670e2b80bc27f53c8162c134df44b4c8a307ab1ca","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5bc3d0d0e2000e3b744fb84670e2b80bc27f53c8162c134df44b4c8a307ab1ca","first_computed_at":"2026-07-05T03:20:03.609838Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T03:20:03.609838Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"XB31HNDyUdLZMgq+02UgGHC0tONdwYFkwQG7NRbYLsjKwpsoCXG2xCARvsJeHXFiOZ38iVeknT5WvL6bvN0lDw==","signature_status":"signed_v1","signed_at":"2026-07-05T03:20:03.610189Z","signed_message":"canonical_sha256_bytes"},"source_id":"2109.10317","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1fc416187149d4a800c97f6e8547f0a8dc6ce3209fc6072bf12b95e662ea75b9","sha256:486228e537435efac35b1dd7e4c0d72d3aac4925d07dccae9a44f5ac9691d63f"],"state_sha256":"d4d2948667d67cde56919067dee0aa436e76e42a3430d8be8bb55bb8d03e2913"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RyFcPPg7ncEyavGLVI62u8mKIlujg4nEaGWzTO4uDFsUalFYc4o8WRuMei6fSfLNsIazVRQdZ4wPdcKQVZLCAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-09T22:26:18.813994Z","bundle_sha256":"8e1b6786feaa54f7ec05119fd82b53dc7450ddac86df78970b13e4dad309dc29"}}