{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:63XIQJ5JHJGCSTS234QPHNFNXQ","short_pith_number":"pith:63XIQJ5J","canonical_record":{"source":{"id":"2507.02213","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"eess.SY","submitted_at":"2025-07-03T00:27:47Z","cross_cats_sorted":["cs.SY"],"title_canon_sha256":"8d7fb3a1c570da23362c1c1d21edc3e781bd21de3985b5682ee9afb0fd3224c8","abstract_canon_sha256":"f6fee0cbfedae77af3cc581829aa712e552a5fdcd9a3969364114327ba506445"},"schema_version":"1.0"},"canonical_sha256":"f6ee8827a93a4c294e5adf20f3b4adbc3f2dc9b40fbbfb118ea11b7dd87f6ba0","source":{"kind":"arxiv","id":"2507.02213","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2507.02213","created_at":"2026-07-05T11:31:13Z"},{"alias_kind":"arxiv_version","alias_value":"2507.02213v1","created_at":"2026-07-05T11:31:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2507.02213","created_at":"2026-07-05T11:31:13Z"},{"alias_kind":"pith_short_12","alias_value":"63XIQJ5JHJGC","created_at":"2026-07-05T11:31:13Z"},{"alias_kind":"pith_short_16","alias_value":"63XIQJ5JHJGCSTS2","created_at":"2026-07-05T11:31:13Z"},{"alias_kind":"pith_short_8","alias_value":"63XIQJ5J","created_at":"2026-07-05T11:31:13Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:63XIQJ5JHJGCSTS234QPHNFNXQ","target":"record","payload":{"canonical_record":{"source":{"id":"2507.02213","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"eess.SY","submitted_at":"2025-07-03T00:27:47Z","cross_cats_sorted":["cs.SY"],"title_canon_sha256":"8d7fb3a1c570da23362c1c1d21edc3e781bd21de3985b5682ee9afb0fd3224c8","abstract_canon_sha256":"f6fee0cbfedae77af3cc581829aa712e552a5fdcd9a3969364114327ba506445"},"schema_version":"1.0"},"canonical_sha256":"f6ee8827a93a4c294e5adf20f3b4adbc3f2dc9b40fbbfb118ea11b7dd87f6ba0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:31:13.918773Z","signature_b64":"c/KSZu9xLw03A7fFanici4flwtIf3rPnoi+P1ImCXkSyNsuthETM/CRzZP0M5SfUDR/qzT8Aa6U1mTIfBFOYCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f6ee8827a93a4c294e5adf20f3b4adbc3f2dc9b40fbbfb118ea11b7dd87f6ba0","last_reissued_at":"2026-07-05T11:31:13.918233Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:31:13.918233Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2507.02213","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":"2026-07-05T11:31:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cXNEZZ1jCsp5LgwinnxJn+P8XyvBfs8gj2hvKPqYiLKQrP9eNwZokw4hjrl4kD8eHEGTNpIUKgMHIIt/qjLEAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T22:10:06.355999Z"},"content_sha256":"cddd958617f475cb6abd5bf3d5b58b0cff6e25f4559f835162e57c7742c27028","schema_version":"1.0","event_id":"sha256:cddd958617f475cb6abd5bf3d5b58b0cff6e25f4559f835162e57c7742c27028"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:63XIQJ5JHJGCSTS234QPHNFNXQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Beyond Interval MDPs: Tight and Efficient Abstractions of Stochastic Systems","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.SY"],"primary_cat":"eess.SY","authors_text":"Ibon Gracia, Morteza Lahijanian","submitted_at":"2025-07-03T00:27:47Z","abstract_excerpt":"This work addresses the general problem of control synthesis for continuous-space, discrete-time stochastic systems with probabilistic guarantees via finite abstractions. While established methods exist, they often trade off accuracy for tractability. We propose a unified abstraction framework that improves both the tightness of probabilistic guarantees and computational efficiency. First, we introduce multi-interval MDPs (MI-MDPs), a generalization of interval-valued MDPs (IMDPs), which allows multiple, possibly overlapping clusters of successor states. This results in tighter abstractions bu"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2507.02213","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/2507.02213/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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T11:31:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2MhbVKih24Q4a8bWnkwcdTNj8m+rw7aicdCPgQEJwXRAKCHYayviJ/DWCaPhuy6xbJzvjdPPCd5vuTDdzPjCCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T22:10:06.356384Z"},"content_sha256":"68dd91b16f8e3c55e245edac251b9f760ee6c5639f6d7bc3c32a090ee2cda55b","schema_version":"1.0","event_id":"sha256:68dd91b16f8e3c55e245edac251b9f760ee6c5639f6d7bc3c32a090ee2cda55b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/63XIQJ5JHJGCSTS234QPHNFNXQ/bundle.json","state_url":"https://pith.science/pith/63XIQJ5JHJGCSTS234QPHNFNXQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/63XIQJ5JHJGCSTS234QPHNFNXQ/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":"2026-08-05T22:10:06Z","links":{"resolver":"https://pith.science/pith/63XIQJ5JHJGCSTS234QPHNFNXQ","bundle":"https://pith.science/pith/63XIQJ5JHJGCSTS234QPHNFNXQ/bundle.json","state":"https://pith.science/pith/63XIQJ5JHJGCSTS234QPHNFNXQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/63XIQJ5JHJGCSTS234QPHNFNXQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:63XIQJ5JHJGCSTS234QPHNFNXQ","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":"f6fee0cbfedae77af3cc581829aa712e552a5fdcd9a3969364114327ba506445","cross_cats_sorted":["cs.SY"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"eess.SY","submitted_at":"2025-07-03T00:27:47Z","title_canon_sha256":"8d7fb3a1c570da23362c1c1d21edc3e781bd21de3985b5682ee9afb0fd3224c8"},"schema_version":"1.0","source":{"id":"2507.02213","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2507.02213","created_at":"2026-07-05T11:31:13Z"},{"alias_kind":"arxiv_version","alias_value":"2507.02213v1","created_at":"2026-07-05T11:31:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2507.02213","created_at":"2026-07-05T11:31:13Z"},{"alias_kind":"pith_short_12","alias_value":"63XIQJ5JHJGC","created_at":"2026-07-05T11:31:13Z"},{"alias_kind":"pith_short_16","alias_value":"63XIQJ5JHJGCSTS2","created_at":"2026-07-05T11:31:13Z"},{"alias_kind":"pith_short_8","alias_value":"63XIQJ5J","created_at":"2026-07-05T11:31:13Z"}],"graph_snapshots":[{"event_id":"sha256:68dd91b16f8e3c55e245edac251b9f760ee6c5639f6d7bc3c32a090ee2cda55b","target":"graph","created_at":"2026-07-05T11:31:13Z","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/2507.02213/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This work addresses the general problem of control synthesis for continuous-space, discrete-time stochastic systems with probabilistic guarantees via finite abstractions. While established methods exist, they often trade off accuracy for tractability. We propose a unified abstraction framework that improves both the tightness of probabilistic guarantees and computational efficiency. First, we introduce multi-interval MDPs (MI-MDPs), a generalization of interval-valued MDPs (IMDPs), which allows multiple, possibly overlapping clusters of successor states. This results in tighter abstractions bu","authors_text":"Ibon Gracia, Morteza Lahijanian","cross_cats":["cs.SY"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"eess.SY","submitted_at":"2025-07-03T00:27:47Z","title":"Beyond Interval MDPs: Tight and Efficient Abstractions of Stochastic Systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2507.02213","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:cddd958617f475cb6abd5bf3d5b58b0cff6e25f4559f835162e57c7742c27028","target":"record","created_at":"2026-07-05T11:31:13Z","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":"f6fee0cbfedae77af3cc581829aa712e552a5fdcd9a3969364114327ba506445","cross_cats_sorted":["cs.SY"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"eess.SY","submitted_at":"2025-07-03T00:27:47Z","title_canon_sha256":"8d7fb3a1c570da23362c1c1d21edc3e781bd21de3985b5682ee9afb0fd3224c8"},"schema_version":"1.0","source":{"id":"2507.02213","kind":"arxiv","version":1}},"canonical_sha256":"f6ee8827a93a4c294e5adf20f3b4adbc3f2dc9b40fbbfb118ea11b7dd87f6ba0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f6ee8827a93a4c294e5adf20f3b4adbc3f2dc9b40fbbfb118ea11b7dd87f6ba0","first_computed_at":"2026-07-05T11:31:13.918233Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:31:13.918233Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"c/KSZu9xLw03A7fFanici4flwtIf3rPnoi+P1ImCXkSyNsuthETM/CRzZP0M5SfUDR/qzT8Aa6U1mTIfBFOYCA==","signature_status":"signed_v1","signed_at":"2026-07-05T11:31:13.918773Z","signed_message":"canonical_sha256_bytes"},"source_id":"2507.02213","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cddd958617f475cb6abd5bf3d5b58b0cff6e25f4559f835162e57c7742c27028","sha256:68dd91b16f8e3c55e245edac251b9f760ee6c5639f6d7bc3c32a090ee2cda55b"],"state_sha256":"b8531fb3b43e027ff71147c0a99aad9ca0a7dba37ebff93bbc03b28682492964"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"eUtnLOIlPPWrsvRMSkRdXMLbPAxHwL6ppTIfWlIiKa6/ea26Ujj/sROkiAh87oAIiVEYwE6+VMKW2pw9J4atAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-05T22:10:06.358776Z","bundle_sha256":"aeb5a82e1a763569e2afa917af15f60bb210f77d048dbf57b9180480b3f7b022"}}