{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:F42ZGJDK2ZNWOOYBKQ2Q3RVR5T","short_pith_number":"pith:F42ZGJDK","canonical_record":{"source":{"id":"1408.1754","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.PL","submitted_at":"2014-08-08T03:11:41Z","cross_cats_sorted":[],"title_canon_sha256":"4216f77ac66dc1b5a95acd3c207b94131060ac0a4a70487cd28d323856e37d3f","abstract_canon_sha256":"99556ec5ea111fff822dcb20213b230b475b6cc9401e77e47c75b5fcd0ac394c"},"schema_version":"1.0"},"canonical_sha256":"2f3593246ad65b673b0154350dc6b1ecf9860591c81c7967890e8a4510597987","source":{"kind":"arxiv","id":"1408.1754","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1408.1754","created_at":"2026-05-18T02:45:39Z"},{"alias_kind":"arxiv_version","alias_value":"1408.1754v1","created_at":"2026-05-18T02:45:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1408.1754","created_at":"2026-05-18T02:45:39Z"},{"alias_kind":"pith_short_12","alias_value":"F42ZGJDK2ZNW","created_at":"2026-05-18T12:28:28Z"},{"alias_kind":"pith_short_16","alias_value":"F42ZGJDK2ZNWOOYB","created_at":"2026-05-18T12:28:28Z"},{"alias_kind":"pith_short_8","alias_value":"F42ZGJDK","created_at":"2026-05-18T12:28:28Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:F42ZGJDK2ZNWOOYBKQ2Q3RVR5T","target":"record","payload":{"canonical_record":{"source":{"id":"1408.1754","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.PL","submitted_at":"2014-08-08T03:11:41Z","cross_cats_sorted":[],"title_canon_sha256":"4216f77ac66dc1b5a95acd3c207b94131060ac0a4a70487cd28d323856e37d3f","abstract_canon_sha256":"99556ec5ea111fff822dcb20213b230b475b6cc9401e77e47c75b5fcd0ac394c"},"schema_version":"1.0"},"canonical_sha256":"2f3593246ad65b673b0154350dc6b1ecf9860591c81c7967890e8a4510597987","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:45:39.088602Z","signature_b64":"PqHtiwEcXUE/gHc1KSvsjHVEPNiTQwgECdUdLV8f4zHx6ikyjMfqGxTu7euDVnzEeyED9J9kvSGfbqxzFH22CA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2f3593246ad65b673b0154350dc6b1ecf9860591c81c7967890e8a4510597987","last_reissued_at":"2026-05-18T02:45:39.088115Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:45:39.088115Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1408.1754","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:45:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oFwjaFR44a+fmUI5ATG4ltdhm0ZkOFpzKTXofQ7bQGKQMCorV5c03Z60WYoxNq9AxRRl5+fULaMJz12Uy2YjAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T06:00:38.851537Z"},"content_sha256":"b5febdf109188000c4d19163eeacbaf770367281c5c3e99f295f4506e69599c9","schema_version":"1.0","event_id":"sha256:b5febdf109188000c4d19163eeacbaf770367281c5c3e99f295f4506e69599c9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:F42ZGJDK2ZNWOOYBKQ2Q3RVR5T","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A Partial-Order Approach to Array Content Analysis","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.PL","authors_text":"Graeme Gange, Harald Sondergaard, Jorge A. Navas, Peter J. Stuckey, Peter Schachte","submitted_at":"2014-08-08T03:11:41Z","abstract_excerpt":"We present a parametric abstract domain for array content analysis. The method maintains invariants for contiguous regions of the array, similar to the methods of Gopan, Reps and Sagiv, and of Halbwachs and Peron. However, it introduces a novel concept of an array content graph, avoiding the need for an up-front factorial partitioning step. The resulting analysis can be used with arbitrary numeric relational abstract domains; we evaluate the domain on a range of array manipulating program fragments."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1408.1754","kind":"arxiv","version":1},"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":"2026-05-18T02:45:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ri8B7gE/WpcJusdVBvc+SLxGv+07sUHTKhoq13HZiKH/Rx6cxD5KtFTM+CobaTDS+y1kChphlXOD0TScnsHHAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T06:00:38.852204Z"},"content_sha256":"d4fd06916105dcad4629a7b230e1e3bd02205e0be82f473d55ab5a5a5bd8e02c","schema_version":"1.0","event_id":"sha256:d4fd06916105dcad4629a7b230e1e3bd02205e0be82f473d55ab5a5a5bd8e02c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/F42ZGJDK2ZNWOOYBKQ2Q3RVR5T/bundle.json","state_url":"https://pith.science/pith/F42ZGJDK2ZNWOOYBKQ2Q3RVR5T/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/F42ZGJDK2ZNWOOYBKQ2Q3RVR5T/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":"2026-05-26T06:00:38Z","links":{"resolver":"https://pith.science/pith/F42ZGJDK2ZNWOOYBKQ2Q3RVR5T","bundle":"https://pith.science/pith/F42ZGJDK2ZNWOOYBKQ2Q3RVR5T/bundle.json","state":"https://pith.science/pith/F42ZGJDK2ZNWOOYBKQ2Q3RVR5T/state.json","well_known_bundle":"https://pith.science/.well-known/pith/F42ZGJDK2ZNWOOYBKQ2Q3RVR5T/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:F42ZGJDK2ZNWOOYBKQ2Q3RVR5T","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":"99556ec5ea111fff822dcb20213b230b475b6cc9401e77e47c75b5fcd0ac394c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.PL","submitted_at":"2014-08-08T03:11:41Z","title_canon_sha256":"4216f77ac66dc1b5a95acd3c207b94131060ac0a4a70487cd28d323856e37d3f"},"schema_version":"1.0","source":{"id":"1408.1754","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1408.1754","created_at":"2026-05-18T02:45:39Z"},{"alias_kind":"arxiv_version","alias_value":"1408.1754v1","created_at":"2026-05-18T02:45:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1408.1754","created_at":"2026-05-18T02:45:39Z"},{"alias_kind":"pith_short_12","alias_value":"F42ZGJDK2ZNW","created_at":"2026-05-18T12:28:28Z"},{"alias_kind":"pith_short_16","alias_value":"F42ZGJDK2ZNWOOYB","created_at":"2026-05-18T12:28:28Z"},{"alias_kind":"pith_short_8","alias_value":"F42ZGJDK","created_at":"2026-05-18T12:28:28Z"}],"graph_snapshots":[{"event_id":"sha256:d4fd06916105dcad4629a7b230e1e3bd02205e0be82f473d55ab5a5a5bd8e02c","target":"graph","created_at":"2026-05-18T02:45:39Z","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 parametric abstract domain for array content analysis. The method maintains invariants for contiguous regions of the array, similar to the methods of Gopan, Reps and Sagiv, and of Halbwachs and Peron. However, it introduces a novel concept of an array content graph, avoiding the need for an up-front factorial partitioning step. The resulting analysis can be used with arbitrary numeric relational abstract domains; we evaluate the domain on a range of array manipulating program fragments.","authors_text":"Graeme Gange, Harald Sondergaard, Jorge A. Navas, Peter J. Stuckey, Peter Schachte","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.PL","submitted_at":"2014-08-08T03:11:41Z","title":"A Partial-Order Approach to Array Content Analysis"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1408.1754","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:b5febdf109188000c4d19163eeacbaf770367281c5c3e99f295f4506e69599c9","target":"record","created_at":"2026-05-18T02:45:39Z","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":"99556ec5ea111fff822dcb20213b230b475b6cc9401e77e47c75b5fcd0ac394c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.PL","submitted_at":"2014-08-08T03:11:41Z","title_canon_sha256":"4216f77ac66dc1b5a95acd3c207b94131060ac0a4a70487cd28d323856e37d3f"},"schema_version":"1.0","source":{"id":"1408.1754","kind":"arxiv","version":1}},"canonical_sha256":"2f3593246ad65b673b0154350dc6b1ecf9860591c81c7967890e8a4510597987","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2f3593246ad65b673b0154350dc6b1ecf9860591c81c7967890e8a4510597987","first_computed_at":"2026-05-18T02:45:39.088115Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:45:39.088115Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"PqHtiwEcXUE/gHc1KSvsjHVEPNiTQwgECdUdLV8f4zHx6ikyjMfqGxTu7euDVnzEeyED9J9kvSGfbqxzFH22CA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:45:39.088602Z","signed_message":"canonical_sha256_bytes"},"source_id":"1408.1754","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b5febdf109188000c4d19163eeacbaf770367281c5c3e99f295f4506e69599c9","sha256:d4fd06916105dcad4629a7b230e1e3bd02205e0be82f473d55ab5a5a5bd8e02c"],"state_sha256":"eba01bd1320351dec83eb8dad5ea498ad43e9f88de5507afb26e54ff3f389519"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"b3O5F9YyLR7gRG2rX4itFiGRuDy4XVMH1IBDjlf9ruVtBOYZ8zx7L8/PmBRsX7y0eBsxa4TzsXq9lK//he0yDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T06:00:38.855916Z","bundle_sha256":"9fa978c762ac697ddac100265fdce68ec53552a5fd200e7b6e18d50829e2a01c"}}