{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:ABLKV5WOJZFJJO6FJCZHTZ2CVA","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":"4f6b5fe1ea0dbc62473d6c9b83b16ce0875e8f8d4be6bc29f0521cc2fbce9afc","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2018-06-14T05:42:18Z","title_canon_sha256":"69c3444d4ac12933b395edc17d51d52a80e622c7b0e11f2e9c172e5a549d24df"},"schema_version":"1.0","source":{"id":"1806.06683","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1806.06683","created_at":"2026-05-18T00:07:27Z"},{"alias_kind":"arxiv_version","alias_value":"1806.06683v2","created_at":"2026-05-18T00:07:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1806.06683","created_at":"2026-05-18T00:07:27Z"},{"alias_kind":"pith_short_12","alias_value":"ABLKV5WOJZFJ","created_at":"2026-05-18T12:32:13Z"},{"alias_kind":"pith_short_16","alias_value":"ABLKV5WOJZFJJO6F","created_at":"2026-05-18T12:32:13Z"},{"alias_kind":"pith_short_8","alias_value":"ABLKV5WO","created_at":"2026-05-18T12:32:13Z"}],"graph_snapshots":[{"event_id":"sha256:515203aa4fcd60728f62a3f9c45c7a45306b1546d2c54f4ecf7536781fb8ffe8","target":"graph","created_at":"2026-05-18T00:07:27Z","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 almost-sure termination problem for probabilistic programs. First, we show that supermartingales with lower bounds on conditional absolute difference provide a sound approach for the almost-sure termination problem. Moreover, using this approach we can obtain explicit optimal bounds on tail probabilities of non-termination within a given number of steps. Second, we present a new approach based on Central Limit Theorem for the almost-sure termination problem, and show that this approach can establish almost-sure termination of programs which none of the existing approaches can hand","authors_text":"Hongfei Fu, Krishnendu Chatterjee, Mingzhang Huang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2018-06-14T05:42:18Z","title":"New Approaches for Almost-Sure Termination of Probabilistic Programs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1806.06683","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":"sha256:20490b9a5bac5670be4b56fb03172c6d3b69b122dd8a1c912f6e7e84b949957c","target":"record","created_at":"2026-05-18T00:07:27Z","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":"4f6b5fe1ea0dbc62473d6c9b83b16ce0875e8f8d4be6bc29f0521cc2fbce9afc","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2018-06-14T05:42:18Z","title_canon_sha256":"69c3444d4ac12933b395edc17d51d52a80e622c7b0e11f2e9c172e5a549d24df"},"schema_version":"1.0","source":{"id":"1806.06683","kind":"arxiv","version":2}},"canonical_sha256":"0056aaf6ce4e4a94bbc548b279e742a81d2364e3d4ce0a2ca7107485d5393d20","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0056aaf6ce4e4a94bbc548b279e742a81d2364e3d4ce0a2ca7107485d5393d20","first_computed_at":"2026-05-18T00:07:27.505358Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:07:27.505358Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Pt8P4M7aWjoD+EiP3W0KMrJ/OPWChQ+a8l2IfCTU4vLgBWuAKgWUHSdl/z6e6K0kokTUvIvdqUZ9+qy3ZInCBw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:07:27.505851Z","signed_message":"canonical_sha256_bytes"},"source_id":"1806.06683","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:20490b9a5bac5670be4b56fb03172c6d3b69b122dd8a1c912f6e7e84b949957c","sha256:515203aa4fcd60728f62a3f9c45c7a45306b1546d2c54f4ecf7536781fb8ffe8"],"state_sha256":"00883348c5f0ae75ce08afa52f696170cc47c9408d07528a7f4ee9a2998a42e0"}