{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:OJIQG4JZFWXKC7EGZRXKWJ3XV2","short_pith_number":"pith:OJIQG4JZ","schema_version":"1.0","canonical_sha256":"72510371392daea17c86cc6eab2777ae94f6ba746012d6a7b371a1d3c65975f7","source":{"kind":"arxiv","id":"1704.03951","version":1},"attestation_state":"computed","paper":{"title":"Sparsity-Sensitive Finite Abstraction","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.SY","authors_text":"Eric S. Kim, Felix Gruber, Murat Arcak","submitted_at":"2017-04-12T23:56:50Z","abstract_excerpt":"Abstraction of a continuous-space model into a finite state and input dynamical model is a key step in formal controller synthesis tools. To date, these software tools have been limited to systems of modest size (typically $\\leq$ 6 dimensions) because the abstraction procedure suffers from an exponential runtime with respect to the sum of state and input dimensions. We present a simple modification to the abstraction algorithm that dramatically reduces the computation time for systems exhibiting a sparse interconnection structure. This modified procedure recovers the same abstraction as the on"},"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":"1704.03951","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2017-04-12T23:56:50Z","cross_cats_sorted":[],"title_canon_sha256":"a5aaae0409580c90957ac25e8fee240ee0f07fb03802fe158e5fa9aecf35be05","abstract_canon_sha256":"8df5d81648866b8eb0130c9a55de82d16faaac1fe4e74b79409578e7fab2b2b7"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:25:05.786610Z","signature_b64":"gZeNj9xLx9tByN44Sk0bRMKDuFkHsX2i8L3k4QX+f3VEGhQ9ZoI++80+j16SE3z9q+3aJI0VvS5795ossIlgDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"72510371392daea17c86cc6eab2777ae94f6ba746012d6a7b371a1d3c65975f7","last_reissued_at":"2026-05-18T00:25:05.786213Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:25:05.786213Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Sparsity-Sensitive Finite Abstraction","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.SY","authors_text":"Eric S. Kim, Felix Gruber, Murat Arcak","submitted_at":"2017-04-12T23:56:50Z","abstract_excerpt":"Abstraction of a continuous-space model into a finite state and input dynamical model is a key step in formal controller synthesis tools. To date, these software tools have been limited to systems of modest size (typically $\\leq$ 6 dimensions) because the abstraction procedure suffers from an exponential runtime with respect to the sum of state and input dimensions. We present a simple modification to the abstraction algorithm that dramatically reduces the computation time for systems exhibiting a sparse interconnection structure. This modified procedure recovers the same abstraction as the on"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.03951","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1704.03951","created_at":"2026-05-18T00:25:05.786273+00:00"},{"alias_kind":"arxiv_version","alias_value":"1704.03951v1","created_at":"2026-05-18T00:25:05.786273+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1704.03951","created_at":"2026-05-18T00:25:05.786273+00:00"},{"alias_kind":"pith_short_12","alias_value":"OJIQG4JZFWXK","created_at":"2026-05-18T12:31:34.259226+00:00"},{"alias_kind":"pith_short_16","alias_value":"OJIQG4JZFWXKC7EG","created_at":"2026-05-18T12:31:34.259226+00:00"},{"alias_kind":"pith_short_8","alias_value":"OJIQG4JZ","created_at":"2026-05-18T12:31:34.259226+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/OJIQG4JZFWXKC7EGZRXKWJ3XV2","json":"https://pith.science/pith/OJIQG4JZFWXKC7EGZRXKWJ3XV2.json","graph_json":"https://pith.science/api/pith-number/OJIQG4JZFWXKC7EGZRXKWJ3XV2/graph.json","events_json":"https://pith.science/api/pith-number/OJIQG4JZFWXKC7EGZRXKWJ3XV2/events.json","paper":"https://pith.science/paper/OJIQG4JZ"},"agent_actions":{"view_html":"https://pith.science/pith/OJIQG4JZFWXKC7EGZRXKWJ3XV2","download_json":"https://pith.science/pith/OJIQG4JZFWXKC7EGZRXKWJ3XV2.json","view_paper":"https://pith.science/paper/OJIQG4JZ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1704.03951&json=true","fetch_graph":"https://pith.science/api/pith-number/OJIQG4JZFWXKC7EGZRXKWJ3XV2/graph.json","fetch_events":"https://pith.science/api/pith-number/OJIQG4JZFWXKC7EGZRXKWJ3XV2/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/OJIQG4JZFWXKC7EGZRXKWJ3XV2/action/timestamp_anchor","attest_storage":"https://pith.science/pith/OJIQG4JZFWXKC7EGZRXKWJ3XV2/action/storage_attestation","attest_author":"https://pith.science/pith/OJIQG4JZFWXKC7EGZRXKWJ3XV2/action/author_attestation","sign_citation":"https://pith.science/pith/OJIQG4JZFWXKC7EGZRXKWJ3XV2/action/citation_signature","submit_replication":"https://pith.science/pith/OJIQG4JZFWXKC7EGZRXKWJ3XV2/action/replication_record"}},"created_at":"2026-05-18T00:25:05.786273+00:00","updated_at":"2026-05-18T00:25:05.786273+00:00"}