{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:BSZ2VNWSH3NI5LZODRFB4ENPSV","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":"4bf8fae9253f9c627b0041c3793ca3bdde33736734cddd6c655c3604ff7266ef","cross_cats_sorted":["cs.MS","math.OC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.PL","submitted_at":"2025-06-02T05:11:49Z","title_canon_sha256":"536cc4de2600a00b12d1d8561404fbb838be8e2c37f0e7a97657a96b43c70cf8"},"schema_version":"1.0","source":{"id":"2506.06495","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2506.06495","created_at":"2026-07-05T11:17:51Z"},{"alias_kind":"arxiv_version","alias_value":"2506.06495v1","created_at":"2026-07-05T11:17:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2506.06495","created_at":"2026-07-05T11:17:51Z"},{"alias_kind":"pith_short_12","alias_value":"BSZ2VNWSH3NI","created_at":"2026-07-05T11:17:51Z"},{"alias_kind":"pith_short_16","alias_value":"BSZ2VNWSH3NI5LZO","created_at":"2026-07-05T11:17:51Z"},{"alias_kind":"pith_short_8","alias_value":"BSZ2VNWS","created_at":"2026-07-05T11:17:51Z"}],"graph_snapshots":[{"event_id":"sha256:3e0dd6319180330e8a5d8cadbe9e2b23696fb798634ffd208d4434de7401b976","target":"graph","created_at":"2026-07-05T11:17:51Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2506.06495/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In solving mathematical optimization problems efficiently, it is crucial to make use of information about specific types of constraints, such as the one-hot or Special-Ordered Set (SOS) constraints. In many cases, exploiting such information gives asymptotically better execution time. JijModeling, an industrial-strength mathematical optimization modeller, achieves this by separating the symbolic representation of an optimization problem from the input data. In this paper, we will report a real-world case study on a constraint detection mechanism modulo the algebraic congruence using e-graphs, ","authors_text":"Hiromi Ishii (1), Inc.), Taro Shimizu (1), Toshiki Teramura (1) ((1) Jij","cross_cats":["cs.MS","math.OC"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.PL","submitted_at":"2025-06-02T05:11:49Z","title":"Optimizing Optimizations: Case Study on Detecting Specific Types of Mathematical Optimization Constraints with E-Graphs in JijModeling"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2506.06495","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:f6666841eb0e92639d91844e7e9b59abc12074d42ffceb31deb4aeb24265ddc8","target":"record","created_at":"2026-07-05T11:17:51Z","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":"4bf8fae9253f9c627b0041c3793ca3bdde33736734cddd6c655c3604ff7266ef","cross_cats_sorted":["cs.MS","math.OC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.PL","submitted_at":"2025-06-02T05:11:49Z","title_canon_sha256":"536cc4de2600a00b12d1d8561404fbb838be8e2c37f0e7a97657a96b43c70cf8"},"schema_version":"1.0","source":{"id":"2506.06495","kind":"arxiv","version":1}},"canonical_sha256":"0cb3aab6d23eda8eaf2e1c4a1e11af957a754b8ad457176ae18d24580752cf2f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0cb3aab6d23eda8eaf2e1c4a1e11af957a754b8ad457176ae18d24580752cf2f","first_computed_at":"2026-07-05T11:17:51.115182Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:17:51.115182Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Wx5S60oViP8iwdIQZ8zvmrJWRzAEQS4e9ZvR77vmfGnnnW0bTbI+B/SrSwxrMT87LOQkKv5tbgApMa1y1isQBQ==","signature_status":"signed_v1","signed_at":"2026-07-05T11:17:51.115670Z","signed_message":"canonical_sha256_bytes"},"source_id":"2506.06495","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f6666841eb0e92639d91844e7e9b59abc12074d42ffceb31deb4aeb24265ddc8","sha256:3e0dd6319180330e8a5d8cadbe9e2b23696fb798634ffd208d4434de7401b976"],"state_sha256":"6ed2d760c40b455000d9f2476e54bd1495977b073dd46e7754683e34df585f4c"}