{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:2RJHDDFAOMDI4GGATVBRPGRRCN","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":"a37c4238ecc494fcdc67e69dfc2461c8950c9c1e5cff66a04a6333468a5e70b6","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2025-01-31T00:16:06Z","title_canon_sha256":"aae08cf638fd01b5c6c69654eb254658cd2a973162d72681d1636867e6948e6d"},"schema_version":"1.0","source":{"id":"2501.18812","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2501.18812","created_at":"2026-07-05T10:45:59Z"},{"alias_kind":"arxiv_version","alias_value":"2501.18812v2","created_at":"2026-07-05T10:45:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2501.18812","created_at":"2026-07-05T10:45:59Z"},{"alias_kind":"pith_short_12","alias_value":"2RJHDDFAOMDI","created_at":"2026-07-05T10:45:59Z"},{"alias_kind":"pith_short_16","alias_value":"2RJHDDFAOMDI4GGA","created_at":"2026-07-05T10:45:59Z"},{"alias_kind":"pith_short_8","alias_value":"2RJHDDFA","created_at":"2026-07-05T10:45:59Z"}],"graph_snapshots":[{"event_id":"sha256:e5a8bc3d4e9789634f0252ebdfaa170210f64f30ef31d5bca68c3f1b94af86cf","target":"graph","created_at":"2026-07-05T10:45:59Z","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/2501.18812/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We present and analyze an algorithm for estimating the size, under a Gaussian or uniform measure, of a localized neighborhood in neural network parameter space with behavior similar to an ``anchor'' point. We refer to this as the \"local volume\" of the anchor. We adapt an existing basin-volume estimator, which is very fast but in many cases only provides a lower bound. We show that this lower bound can be improved with an importance-sampling method using gradient information that is already provided by popular optimizers. The negative logarithm of local volume can also be interpreted as a measu","authors_text":"Adam Scherlis, Nora Belrose","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2025-01-31T00:16:06Z","title":"Estimating the Probability of Sampling a Trained Neural Network at Random"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2501.18812","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":"sha256:469ec550c74f89388200df3f259a835637fc8acb38fc06f7a8353f57b2a191d4","target":"record","created_at":"2026-07-05T10:45:59Z","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":"a37c4238ecc494fcdc67e69dfc2461c8950c9c1e5cff66a04a6333468a5e70b6","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2025-01-31T00:16:06Z","title_canon_sha256":"aae08cf638fd01b5c6c69654eb254658cd2a973162d72681d1636867e6948e6d"},"schema_version":"1.0","source":{"id":"2501.18812","kind":"arxiv","version":2}},"canonical_sha256":"d452718ca073068e18c09d43179a311356a45efbd8f44d9195dc6156b3c73030","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d452718ca073068e18c09d43179a311356a45efbd8f44d9195dc6156b3c73030","first_computed_at":"2026-07-05T10:45:59.761158Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:45:59.761158Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"7jfL78x1MmFsf3Zv8QpXkmAVK/hWFdw1K1JLC//PviLLYNWKKUpMuZIrwRO6EWIzZVH346hjePkj2k6CA37gAA==","signature_status":"signed_v1","signed_at":"2026-07-05T10:45:59.761739Z","signed_message":"canonical_sha256_bytes"},"source_id":"2501.18812","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:469ec550c74f89388200df3f259a835637fc8acb38fc06f7a8353f57b2a191d4","sha256:e5a8bc3d4e9789634f0252ebdfaa170210f64f30ef31d5bca68c3f1b94af86cf"],"state_sha256":"c58c2a3a82ca159366934706a35077e03d26a3445392e3ba5c1c83b07a2feea1"}