{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:N3WD4YSMNYTKCLKQVVOAZMP5LR","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":"52bf3bd7aa68b25a62bf3ffb18ff5d54c3b74ff334c7f19e4affdcae1a9eeb0c","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"cs.LO","submitted_at":"2014-05-17T15:42:32Z","title_canon_sha256":"8c5cd1fb18b87f1fcd6ad17cce7d58903161cafd2fa1664bfced4d56e81ddf82"},"schema_version":"1.0","source":{"id":"1405.4413","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1405.4413","created_at":"2026-05-18T02:51:40Z"},{"alias_kind":"arxiv_version","alias_value":"1405.4413v1","created_at":"2026-05-18T02:51:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1405.4413","created_at":"2026-05-18T02:51:40Z"},{"alias_kind":"pith_short_12","alias_value":"N3WD4YSMNYTK","created_at":"2026-05-18T12:28:41Z"},{"alias_kind":"pith_short_16","alias_value":"N3WD4YSMNYTKCLKQ","created_at":"2026-05-18T12:28:41Z"},{"alias_kind":"pith_short_8","alias_value":"N3WD4YSM","created_at":"2026-05-18T12:28:41Z"}],"graph_snapshots":[{"event_id":"sha256:de335e5043a4f5215f4e21d8f24a3d10447c6e9e13baf86bec195e1e2bf4894a","target":"graph","created_at":"2026-05-18T02:51:40Z","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 present a new kind of nontermination argument for linear lasso programs, called geometric nontermination argument. A geometric nontermination argument is a finite representation of an infinite execution of the form $(\\vec{x} + \\sum_{i=0}^t \\lambda^i \\vec{y})_{t \\geq 0}$. The existence of this nontermination argument can be stated as a set of nonlinear algebraic constraints. We show that every linear loop program that has a bounded infinite execution also has a geometric nontermination argument. Furthermore, we discuss nonterminating programs that do not have a geometric nontermination argum","authors_text":"Jan Leike, Matthias Heizmann","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"cs.LO","submitted_at":"2014-05-17T15:42:32Z","title":"Geometric Series as Nontermination Arguments for Linear Lasso Programs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1405.4413","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":"sha256:1431e40eb40029d8dd995489b3953bfade77454931a2d508c7c94c51719cddbf","target":"record","created_at":"2026-05-18T02:51:40Z","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":"52bf3bd7aa68b25a62bf3ffb18ff5d54c3b74ff334c7f19e4affdcae1a9eeb0c","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"cs.LO","submitted_at":"2014-05-17T15:42:32Z","title_canon_sha256":"8c5cd1fb18b87f1fcd6ad17cce7d58903161cafd2fa1664bfced4d56e81ddf82"},"schema_version":"1.0","source":{"id":"1405.4413","kind":"arxiv","version":1}},"canonical_sha256":"6eec3e624c6e26a12d50ad5c0cb1fd5c6992239932cec537a8a14fbc32d46422","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6eec3e624c6e26a12d50ad5c0cb1fd5c6992239932cec537a8a14fbc32d46422","first_computed_at":"2026-05-18T02:51:40.968901Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:51:40.968901Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"mJATzleTTd7iCuknDFNyhnuuMavCb+m6SPV7EfwZllHb5RAKibM/Sl3ldY9YhFg0zlrqLVV28oF0s0q8juisAw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:51:40.969341Z","signed_message":"canonical_sha256_bytes"},"source_id":"1405.4413","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1431e40eb40029d8dd995489b3953bfade77454931a2d508c7c94c51719cddbf","sha256:de335e5043a4f5215f4e21d8f24a3d10447c6e9e13baf86bec195e1e2bf4894a"],"state_sha256":"0cb5aa7a0189603c1dad4a2d1623c1de8aafbf99be7db25474e7b80bedf8692b"}