{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:OPDM7W7QXFCPIFLEJNTJJKMOSN","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":"d3a050264de2ac2cb6e33879ab2cbca15148d48963151f9691c2ab7dd3da9102","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"cs.LO","submitted_at":"2012-05-31T11:28:23Z","title_canon_sha256":"a4211e48e8561eaec4b2f677caefdca98642d7cea604097a021de2362cf6a836"},"schema_version":"1.0","source":{"id":"1206.0232","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1206.0232","created_at":"2026-05-18T02:21:09Z"},{"alias_kind":"arxiv_version","alias_value":"1206.0232v1","created_at":"2026-05-18T02:21:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1206.0232","created_at":"2026-05-18T02:21:09Z"},{"alias_kind":"pith_short_12","alias_value":"OPDM7W7QXFCP","created_at":"2026-05-18T12:27:16Z"},{"alias_kind":"pith_short_16","alias_value":"OPDM7W7QXFCPIFLE","created_at":"2026-05-18T12:27:16Z"},{"alias_kind":"pith_short_8","alias_value":"OPDM7W7Q","created_at":"2026-05-18T12:27:16Z"}],"graph_snapshots":[{"event_id":"sha256:ae49f646057ee6f69e3771488b29763077d0c357625bc2a9f07ac72a8a3fa602","target":"graph","created_at":"2026-05-18T02:21:09Z","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":"A simple linear loop is a simple while loop with linear assignments and linear loop guards. If a simple linear loop has only two program variables, we give a complete algorithm for computing the set of all the inputs on which the loop does not terminate. For the case of more program variables, we show that the non-termination set cannot be described by Tarski formulae in general","authors_text":"Bican Xia, Liyun Dai","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"cs.LO","submitted_at":"2012-05-31T11:28:23Z","title":"Non-Termination Sets of Simple Linear Loops"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1206.0232","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":"sha256:61c7dab9eef126267fabe651ae8cbfd2b3a79970887a253ea71458e2a21ec25e","target":"record","created_at":"2026-05-18T02:21:09Z","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":"d3a050264de2ac2cb6e33879ab2cbca15148d48963151f9691c2ab7dd3da9102","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"cs.LO","submitted_at":"2012-05-31T11:28:23Z","title_canon_sha256":"a4211e48e8561eaec4b2f677caefdca98642d7cea604097a021de2362cf6a836"},"schema_version":"1.0","source":{"id":"1206.0232","kind":"arxiv","version":1}},"canonical_sha256":"73c6cfdbf0b944f415644b6694a98e936d1468d2d2689f143cd22b03970e6215","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"73c6cfdbf0b944f415644b6694a98e936d1468d2d2689f143cd22b03970e6215","first_computed_at":"2026-05-18T02:21:09.205122Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:21:09.205122Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ZeYHSrRlG7FFTDZGOuJEwWbNVJfi7GSfpn4t8fN3Jt6qvdal654jue3++EbZoJfliHqQYFYZl9DjvNodY9XsBg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:21:09.205556Z","signed_message":"canonical_sha256_bytes"},"source_id":"1206.0232","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:61c7dab9eef126267fabe651ae8cbfd2b3a79970887a253ea71458e2a21ec25e","sha256:ae49f646057ee6f69e3771488b29763077d0c357625bc2a9f07ac72a8a3fa602"],"state_sha256":"e58cacc73708e2e7c52132ad09a1d1f6fd870e2c63b1a2587f2f7258cd436551"}