{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:OKLHP2WEWAFYCFK6YTY2WU7CYU","short_pith_number":"pith:OKLHP2WE","schema_version":"1.0","canonical_sha256":"729677eac4b00b81155ec4f1ab53e2c5189461045ba08349c18f530e7bda79e3","source":{"kind":"arxiv","id":"2606.27166","version":1},"attestation_state":"computed","paper":{"title":"A Forward-Only Construction of Semilinear Inductive Invariants for VAS","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.FL"],"primary_cat":"cs.LO","authors_text":"Clotilde Bizi\\`ere, Gr\\'egoire Sutre, J\\'er\\^ome Leroux","submitted_at":"2026-06-25T15:34:10Z","abstract_excerpt":"The reachability problem for Vector Addition Systems (VAS) is a central decision problem in the theory of infinite-state systems, first solved by Kosaraju and Mayr in the 1980s. An alternative, conceptually simpler approach introduced by Leroux shows that non-reachability is always witnessed by semilinear inductive invariants, yielding a decision procedure by combining an enumeration of runs with a search for such invariants. However, the construction of these invariants relies on a back-and-forth scheme that depends symmetrically on the source and the target. As a result, the invariants are n"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2606.27166","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LO","submitted_at":"2026-06-25T15:34:10Z","cross_cats_sorted":["cs.FL"],"title_canon_sha256":"a484943bd180229eb03146b266cd2b2004443c2d5b732f48b8609003cbed0a57","abstract_canon_sha256":"ef3f38fd464198d1b8a8a3869131b00a9e34a73cbb3ca55e21a99e91b0db0778"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-26T01:16:12.409695Z","signature_b64":"Ic1N76kDtVFCyMa8eqPhQ98NCcFmZ5t4pffQL/68pbCToAhDSQ9cGWwiZjrxGsGKymLWuDgIDn54jyFLvMFcAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"729677eac4b00b81155ec4f1ab53e2c5189461045ba08349c18f530e7bda79e3","last_reissued_at":"2026-06-26T01:16:12.409291Z","signature_status":"signed_v1","first_computed_at":"2026-06-26T01:16:12.409291Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A Forward-Only Construction of Semilinear Inductive Invariants for VAS","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.FL"],"primary_cat":"cs.LO","authors_text":"Clotilde Bizi\\`ere, Gr\\'egoire Sutre, J\\'er\\^ome Leroux","submitted_at":"2026-06-25T15:34:10Z","abstract_excerpt":"The reachability problem for Vector Addition Systems (VAS) is a central decision problem in the theory of infinite-state systems, first solved by Kosaraju and Mayr in the 1980s. An alternative, conceptually simpler approach introduced by Leroux shows that non-reachability is always witnessed by semilinear inductive invariants, yielding a decision procedure by combining an enumeration of runs with a search for such invariants. However, the construction of these invariants relies on a back-and-forth scheme that depends symmetrically on the source and the target. As a result, the invariants are n"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.27166","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2606.27166/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"2606.27166","created_at":"2026-06-26T01:16:12.409352+00:00"},{"alias_kind":"arxiv_version","alias_value":"2606.27166v1","created_at":"2026-06-26T01:16:12.409352+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.27166","created_at":"2026-06-26T01:16:12.409352+00:00"},{"alias_kind":"pith_short_12","alias_value":"OKLHP2WEWAFY","created_at":"2026-06-26T01:16:12.409352+00:00"},{"alias_kind":"pith_short_16","alias_value":"OKLHP2WEWAFYCFK6","created_at":"2026-06-26T01:16:12.409352+00:00"},{"alias_kind":"pith_short_8","alias_value":"OKLHP2WE","created_at":"2026-06-26T01:16:12.409352+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/OKLHP2WEWAFYCFK6YTY2WU7CYU","json":"https://pith.science/pith/OKLHP2WEWAFYCFK6YTY2WU7CYU.json","graph_json":"https://pith.science/api/pith-number/OKLHP2WEWAFYCFK6YTY2WU7CYU/graph.json","events_json":"https://pith.science/api/pith-number/OKLHP2WEWAFYCFK6YTY2WU7CYU/events.json","paper":"https://pith.science/paper/OKLHP2WE"},"agent_actions":{"view_html":"https://pith.science/pith/OKLHP2WEWAFYCFK6YTY2WU7CYU","download_json":"https://pith.science/pith/OKLHP2WEWAFYCFK6YTY2WU7CYU.json","view_paper":"https://pith.science/paper/OKLHP2WE","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2606.27166&json=true","fetch_graph":"https://pith.science/api/pith-number/OKLHP2WEWAFYCFK6YTY2WU7CYU/graph.json","fetch_events":"https://pith.science/api/pith-number/OKLHP2WEWAFYCFK6YTY2WU7CYU/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/OKLHP2WEWAFYCFK6YTY2WU7CYU/action/timestamp_anchor","attest_storage":"https://pith.science/pith/OKLHP2WEWAFYCFK6YTY2WU7CYU/action/storage_attestation","attest_author":"https://pith.science/pith/OKLHP2WEWAFYCFK6YTY2WU7CYU/action/author_attestation","sign_citation":"https://pith.science/pith/OKLHP2WEWAFYCFK6YTY2WU7CYU/action/citation_signature","submit_replication":"https://pith.science/pith/OKLHP2WEWAFYCFK6YTY2WU7CYU/action/replication_record"}},"created_at":"2026-06-26T01:16:12.409352+00:00","updated_at":"2026-06-26T01:16:12.409352+00:00"}