{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:P6ST6BQZI6ZDL35ERUF4ESM47B","short_pith_number":"pith:P6ST6BQZ","canonical_record":{"source":{"id":"1610.09607","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2016-10-30T05:42:29Z","cross_cats_sorted":[],"title_canon_sha256":"98a2747dadbfc23a682df85249421b5d45708cd2760d9d64da8c706103420621","abstract_canon_sha256":"61a2041b97e52578e063789440f3718e51d48233cb8b0d637eb7fbd51608b132"},"schema_version":"1.0"},"canonical_sha256":"7fa53f061947b235efa48d0bc2499cf86d82609ab5aab9aee4981c937697bf43","source":{"kind":"arxiv","id":"1610.09607","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1610.09607","created_at":"2026-05-18T00:51:25Z"},{"alias_kind":"arxiv_version","alias_value":"1610.09607v2","created_at":"2026-05-18T00:51:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.09607","created_at":"2026-05-18T00:51:25Z"},{"alias_kind":"pith_short_12","alias_value":"P6ST6BQZI6ZD","created_at":"2026-05-18T12:30:39Z"},{"alias_kind":"pith_short_16","alias_value":"P6ST6BQZI6ZDL35E","created_at":"2026-05-18T12:30:39Z"},{"alias_kind":"pith_short_8","alias_value":"P6ST6BQZ","created_at":"2026-05-18T12:30:39Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:P6ST6BQZI6ZDL35ERUF4ESM47B","target":"record","payload":{"canonical_record":{"source":{"id":"1610.09607","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2016-10-30T05:42:29Z","cross_cats_sorted":[],"title_canon_sha256":"98a2747dadbfc23a682df85249421b5d45708cd2760d9d64da8c706103420621","abstract_canon_sha256":"61a2041b97e52578e063789440f3718e51d48233cb8b0d637eb7fbd51608b132"},"schema_version":"1.0"},"canonical_sha256":"7fa53f061947b235efa48d0bc2499cf86d82609ab5aab9aee4981c937697bf43","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:51:25.101859Z","signature_b64":"uNHmWJkAvDPrrswtVYQJBOiACCApNN+h1QHUDVNu12mAFRhqUtbL14prHwpeKQ4khgFXpzZMnG0V7hXF6nSbDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7fa53f061947b235efa48d0bc2499cf86d82609ab5aab9aee4981c937697bf43","last_reissued_at":"2026-05-18T00:51:25.101112Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:51:25.101112Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1610.09607","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:51:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"C/N0Suoni+PJcbUsVM37/cNCA10nTDSGy6rXTGu5g4Jgl7ercLMjoum5utNYdTVJZSZjjnzHgJOUlBRQWWO9BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T14:25:07.227989Z"},"content_sha256":"1a1d9a068f6a075af777168514e5255b3f3351678038f277f6e51d60c1f5711d","schema_version":"1.0","event_id":"sha256:1a1d9a068f6a075af777168514e5255b3f3351678038f277f6e51d60c1f5711d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:P6ST6BQZI6ZDL35ERUF4ESM47B","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Termination of Monotone Programs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.LO","authors_text":"Mark Reynolds, Omar Al-Bataineh, Xie Xiaofei","submitted_at":"2016-10-30T05:42:29Z","abstract_excerpt":"We present an efficient approach to prove termination of monotone programs with integer variables, an expressive class of loops that is often encountered in computer programs. Our approach is based on a lightweight static analysis method and takes advantage of simple %nice properties of monotone functions. Our preliminary implementation %beats shows that our tool has an advantage over existing tools and can prove termination for a high percentage of loops for a class of benchmarks."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.09607","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:51:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0JqHpy5UAfpp4CnG84Q48HSVIxBiMCpcOOV4sHOa4VsU27gQ2G50FdNSFLMm9JBySZti8yzssJUH04hQ+xubDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T14:25:07.228629Z"},"content_sha256":"94ea145269a800bad2910a7fa6aa1974aa1aeddf8cccb08a38db953312ae6443","schema_version":"1.0","event_id":"sha256:94ea145269a800bad2910a7fa6aa1974aa1aeddf8cccb08a38db953312ae6443"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/P6ST6BQZI6ZDL35ERUF4ESM47B/bundle.json","state_url":"https://pith.science/pith/P6ST6BQZI6ZDL35ERUF4ESM47B/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/P6ST6BQZI6ZDL35ERUF4ESM47B/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-02T14:25:07Z","links":{"resolver":"https://pith.science/pith/P6ST6BQZI6ZDL35ERUF4ESM47B","bundle":"https://pith.science/pith/P6ST6BQZI6ZDL35ERUF4ESM47B/bundle.json","state":"https://pith.science/pith/P6ST6BQZI6ZDL35ERUF4ESM47B/state.json","well_known_bundle":"https://pith.science/.well-known/pith/P6ST6BQZI6ZDL35ERUF4ESM47B/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:P6ST6BQZI6ZDL35ERUF4ESM47B","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":"61a2041b97e52578e063789440f3718e51d48233cb8b0d637eb7fbd51608b132","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2016-10-30T05:42:29Z","title_canon_sha256":"98a2747dadbfc23a682df85249421b5d45708cd2760d9d64da8c706103420621"},"schema_version":"1.0","source":{"id":"1610.09607","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1610.09607","created_at":"2026-05-18T00:51:25Z"},{"alias_kind":"arxiv_version","alias_value":"1610.09607v2","created_at":"2026-05-18T00:51:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.09607","created_at":"2026-05-18T00:51:25Z"},{"alias_kind":"pith_short_12","alias_value":"P6ST6BQZI6ZD","created_at":"2026-05-18T12:30:39Z"},{"alias_kind":"pith_short_16","alias_value":"P6ST6BQZI6ZDL35E","created_at":"2026-05-18T12:30:39Z"},{"alias_kind":"pith_short_8","alias_value":"P6ST6BQZ","created_at":"2026-05-18T12:30:39Z"}],"graph_snapshots":[{"event_id":"sha256:94ea145269a800bad2910a7fa6aa1974aa1aeddf8cccb08a38db953312ae6443","target":"graph","created_at":"2026-05-18T00:51:25Z","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 an efficient approach to prove termination of monotone programs with integer variables, an expressive class of loops that is often encountered in computer programs. Our approach is based on a lightweight static analysis method and takes advantage of simple %nice properties of monotone functions. Our preliminary implementation %beats shows that our tool has an advantage over existing tools and can prove termination for a high percentage of loops for a class of benchmarks.","authors_text":"Mark Reynolds, Omar Al-Bataineh, Xie Xiaofei","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2016-10-30T05:42:29Z","title":"Termination of Monotone Programs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.09607","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":"sha256:1a1d9a068f6a075af777168514e5255b3f3351678038f277f6e51d60c1f5711d","target":"record","created_at":"2026-05-18T00:51:25Z","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":"61a2041b97e52578e063789440f3718e51d48233cb8b0d637eb7fbd51608b132","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2016-10-30T05:42:29Z","title_canon_sha256":"98a2747dadbfc23a682df85249421b5d45708cd2760d9d64da8c706103420621"},"schema_version":"1.0","source":{"id":"1610.09607","kind":"arxiv","version":2}},"canonical_sha256":"7fa53f061947b235efa48d0bc2499cf86d82609ab5aab9aee4981c937697bf43","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7fa53f061947b235efa48d0bc2499cf86d82609ab5aab9aee4981c937697bf43","first_computed_at":"2026-05-18T00:51:25.101112Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:51:25.101112Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"uNHmWJkAvDPrrswtVYQJBOiACCApNN+h1QHUDVNu12mAFRhqUtbL14prHwpeKQ4khgFXpzZMnG0V7hXF6nSbDw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:51:25.101859Z","signed_message":"canonical_sha256_bytes"},"source_id":"1610.09607","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1a1d9a068f6a075af777168514e5255b3f3351678038f277f6e51d60c1f5711d","sha256:94ea145269a800bad2910a7fa6aa1974aa1aeddf8cccb08a38db953312ae6443"],"state_sha256":"a47a504bd5ac8e81678ab0647d1541531a0040eab017d4ca61cd0f7888b9ad3c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zJj0uXztyiL4qFxP1b9NqWgaDir+JEuuRtswwfXsgZF5VPpFhBy8xx6I5YAuHjy+eusUez97cxYd8vu2I1M2AA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T14:25:07.231753Z","bundle_sha256":"cda77fbf7b1940b37f7c53a0e0b07648dcf242864779d05a53cd07e30e81cff2"}}