{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:ZMV3QECY7VERYFR2UDZELYAOCA","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":"9ea040109e71aaf694c2c795431704fa011ac3f464672fa866ad09b248ac06cc","cross_cats_sorted":["cs.LG","cs.LO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.AI","submitted_at":"2017-06-22T14:59:49Z","title_canon_sha256":"f6aea7f547e424859919355f18579fcecc5b977c73dc160b2b5ddc26064e0342"},"schema_version":"1.0","source":{"id":"1706.07351","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1706.07351","created_at":"2026-05-18T00:41:51Z"},{"alias_kind":"arxiv_version","alias_value":"1706.07351v1","created_at":"2026-05-18T00:41:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1706.07351","created_at":"2026-05-18T00:41:51Z"},{"alias_kind":"pith_short_12","alias_value":"ZMV3QECY7VER","created_at":"2026-05-18T12:31:59Z"},{"alias_kind":"pith_short_16","alias_value":"ZMV3QECY7VERYFR2","created_at":"2026-05-18T12:31:59Z"},{"alias_kind":"pith_short_8","alias_value":"ZMV3QECY","created_at":"2026-05-18T12:31:59Z"}],"graph_snapshots":[{"event_id":"sha256:646f7551e6905e06ff5b5d7ea0e520bf882774df6dba9099fc17d80382542ac6","target":"graph","created_at":"2026-05-18T00:41:51Z","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":"We study the reachability problem for systems implemented as feed-forward neural networks whose activation function is implemented via ReLU functions. We draw a correspondence between establishing whether some arbitrary output can ever be outputed by a neural system and linear problems characterising a neural system of interest. We present a methodology to solve cases of practical interest by means of a state-of-the-art linear programs solver. We evaluate the technique presented by discussing the experimental results obtained by analysing reachability properties for a number of benchmarks in t","authors_text":"Alessio Lomuscio, Lalit Maganti","cross_cats":["cs.LG","cs.LO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.AI","submitted_at":"2017-06-22T14:59:49Z","title":"An approach to reachability analysis for feed-forward ReLU neural networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1706.07351","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":"sha256:1111ad9afd6d2546a3c2c14259c0d60543c1fe89a17537e90cd5119b6bf520ae","target":"record","created_at":"2026-05-18T00:41:51Z","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":"9ea040109e71aaf694c2c795431704fa011ac3f464672fa866ad09b248ac06cc","cross_cats_sorted":["cs.LG","cs.LO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.AI","submitted_at":"2017-06-22T14:59:49Z","title_canon_sha256":"f6aea7f547e424859919355f18579fcecc5b977c73dc160b2b5ddc26064e0342"},"schema_version":"1.0","source":{"id":"1706.07351","kind":"arxiv","version":1}},"canonical_sha256":"cb2bb81058fd491c163aa0f245e00e1008bc38aef54db209e54a585b0163f883","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cb2bb81058fd491c163aa0f245e00e1008bc38aef54db209e54a585b0163f883","first_computed_at":"2026-05-18T00:41:51.920422Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:41:51.920422Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"q0vbwjlhkNhcNfqsuWDh71rnzmR2rWcvskuc+MqbkpHTeJ53BRxV2OzljqknWg4RFi+1U5QJP9awUaDZTpeNAA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:41:51.920870Z","signed_message":"canonical_sha256_bytes"},"source_id":"1706.07351","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1111ad9afd6d2546a3c2c14259c0d60543c1fe89a17537e90cd5119b6bf520ae","sha256:646f7551e6905e06ff5b5d7ea0e520bf882774df6dba9099fc17d80382542ac6"],"state_sha256":"bd675c790d7214c55f925604892797fcd112583cf06d7e7c2a9e6b0c3ad522a9"}