{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:PLC5T37G6Q47RZDZDM22LHGRNW","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":"72d869fd7618dd2aedcc6f9981c0967b1206bade0e9ca96bc2af9979314430fc","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2021-10-23T18:53:56Z","title_canon_sha256":"22fefcaf362fdb215ec8b7e5fb8a71cf93ae5f7b576f9c8e8ba5406cc5738649"},"schema_version":"1.0","source":{"id":"2110.12276","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2110.12276","created_at":"2026-07-05T03:25:02Z"},{"alias_kind":"arxiv_version","alias_value":"2110.12276v1","created_at":"2026-07-05T03:25:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2110.12276","created_at":"2026-07-05T03:25:02Z"},{"alias_kind":"pith_short_12","alias_value":"PLC5T37G6Q47","created_at":"2026-07-05T03:25:02Z"},{"alias_kind":"pith_short_16","alias_value":"PLC5T37G6Q47RZDZ","created_at":"2026-07-05T03:25:02Z"},{"alias_kind":"pith_short_8","alias_value":"PLC5T37G","created_at":"2026-07-05T03:25:02Z"}],"graph_snapshots":[{"event_id":"sha256:17074ddb4cc8d527ce90e1b1605f51426adfd99e06745d03e66495d93c9b2486","target":"graph","created_at":"2026-07-05T03:25:02Z","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/2110.12276/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Principled decision-making in continuous state--action spaces is impossible without some assumptions. A common approach is to assume Lipschitz continuity of the Q-function. We show that, unfortunately, this property fails to hold in many typical domains. We propose a new coarse-grained smoothness definition that generalizes the notion of Lipschitz continuity, is more widely applicable, and allows us to compute significantly tighter bounds on Q-functions, leading to improved learning. We provide a theoretical analysis of our new smoothness definition, and discuss its implications and impact on ","authors_text":"Cameron Allen, George Konidaris, Kavosh Asadi, Michael Littman, Omer Gottesman, Sam Lobel","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2021-10-23T18:53:56Z","title":"Coarse-Grained Smoothness for RL in Metric Spaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2110.12276","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":"sha256:9f5b732488530bd67bf1ad04152581aa689293f8e5d957f14c5d561f8798a18a","target":"record","created_at":"2026-07-05T03:25:02Z","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":"72d869fd7618dd2aedcc6f9981c0967b1206bade0e9ca96bc2af9979314430fc","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2021-10-23T18:53:56Z","title_canon_sha256":"22fefcaf362fdb215ec8b7e5fb8a71cf93ae5f7b576f9c8e8ba5406cc5738649"},"schema_version":"1.0","source":{"id":"2110.12276","kind":"arxiv","version":1}},"canonical_sha256":"7ac5d9efe6f439f8e4791b35a59cd16d85c5c3a6d5d85c3f7aa5a447eb544df1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7ac5d9efe6f439f8e4791b35a59cd16d85c5c3a6d5d85c3f7aa5a447eb544df1","first_computed_at":"2026-07-05T03:25:02.649812Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T03:25:02.649812Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"fueY4b7POXHVlxddQBJ0r7DfM96nfhfaj+MB9RfzBDO6/rJh6/cBJcMLrOLcXb1nh9+8Rb63w0GvaWbBCi+HBw==","signature_status":"signed_v1","signed_at":"2026-07-05T03:25:02.650150Z","signed_message":"canonical_sha256_bytes"},"source_id":"2110.12276","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9f5b732488530bd67bf1ad04152581aa689293f8e5d957f14c5d561f8798a18a","sha256:17074ddb4cc8d527ce90e1b1605f51426adfd99e06745d03e66495d93c9b2486"],"state_sha256":"ab54a91ff39841157bb6d6d0b7af03d0e4dd406be17c767b2de6af62c0044a69"}