{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:FJUMEL3KY7ZNCRK7B3TAHQRJ3B","short_pith_number":"pith:FJUMEL3K","canonical_record":{"source":{"id":"1002.2236","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2010-02-10T23:08:49Z","cross_cats_sorted":["cs.NA"],"title_canon_sha256":"908ee67dbe3ec431dab7987b418c25c8d661fad9b0293a21f8cd25fbcba7cd50","abstract_canon_sha256":"0830dd08eb05bda6d2364473c9a3454b67c9f573517699139ac304e7551d2951"},"schema_version":"1.0"},"canonical_sha256":"2a68c22f6ac7f2d1455f0ee603c229d87be773e7c30f9b9c4cacdb591bee252d","source":{"kind":"arxiv","id":"1002.2236","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1002.2236","created_at":"2026-05-18T02:59:16Z"},{"alias_kind":"arxiv_version","alias_value":"1002.2236v3","created_at":"2026-05-18T02:59:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1002.2236","created_at":"2026-05-18T02:59:16Z"},{"alias_kind":"pith_short_12","alias_value":"FJUMEL3KY7ZN","created_at":"2026-05-18T12:26:07Z"},{"alias_kind":"pith_short_16","alias_value":"FJUMEL3KY7ZNCRK7","created_at":"2026-05-18T12:26:07Z"},{"alias_kind":"pith_short_8","alias_value":"FJUMEL3K","created_at":"2026-05-18T12:26:07Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:FJUMEL3KY7ZNCRK7B3TAHQRJ3B","target":"record","payload":{"canonical_record":{"source":{"id":"1002.2236","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2010-02-10T23:08:49Z","cross_cats_sorted":["cs.NA"],"title_canon_sha256":"908ee67dbe3ec431dab7987b418c25c8d661fad9b0293a21f8cd25fbcba7cd50","abstract_canon_sha256":"0830dd08eb05bda6d2364473c9a3454b67c9f573517699139ac304e7551d2951"},"schema_version":"1.0"},"canonical_sha256":"2a68c22f6ac7f2d1455f0ee603c229d87be773e7c30f9b9c4cacdb591bee252d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:59:16.709795Z","signature_b64":"zSG5L/63O2eKzzKZ5Q3qWDx+W7phX6FShpG4oH5wgi+hOFmtSbJ3pOnxRAQIaKNmZ92IZdb53P7b+a1Z6ts0CA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2a68c22f6ac7f2d1455f0ee603c229d87be773e7c30f9b9c4cacdb591bee252d","last_reissued_at":"2026-05-18T02:59:16.709180Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:59:16.709180Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1002.2236","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:59:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UhBiwvC5P6x/PegNhWIuQUiA+xtZkZAb9rZJZ2v4EEdTFNhe6l2TwSmjMN6EQcM0Kl3a7u/qD7WIHpRNKSWrDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T01:51:07.179608Z"},"content_sha256":"a922c49f66bf7163bcdd640ef38586d05581306ccfa5a35ec54528c65fc5cf58","schema_version":"1.0","event_id":"sha256:a922c49f66bf7163bcdd640ef38586d05581306ccfa5a35ec54528c65fc5cf58"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:FJUMEL3KY7ZNCRK7B3TAHQRJ3B","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A Logical Product Approach to Zonotope Intersection","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NA"],"primary_cat":"cs.LO","authors_text":"Eric Goubault, Khalil Ghorbal, Sylvie Putot","submitted_at":"2010-02-10T23:08:49Z","abstract_excerpt":"We define and study a new abstract domain which is a fine-grained combination of zonotopes with polyhedric domains such as the interval, octagon, linear templates or polyhedron domain. While abstract transfer functions are still rather inexpensive and accurate even for interpreting non-linear computations, we are able to also interpret tests (i.e. intersections) efficiently. This fixes a known drawback of zonotopic methods, as used for reachability analysis for hybrid sys- tems as well as for invariant generation in abstract interpretation: intersection of zonotopes are not always zonotopes, a"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1002.2236","kind":"arxiv","version":3},"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":"2026-05-18T02:59:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fqDx1F9PQfuUHagf7U9/pgwh9G+PrzJR65XmX0DKiwpm9X2KuNvxKgiJ60AXCAn8B/oxagPE3wf75A+pMdZbDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T01:51:07.179994Z"},"content_sha256":"5798626732df75ffff41951ade932e26f758077f4c1e86e1d8342b4a349090c9","schema_version":"1.0","event_id":"sha256:5798626732df75ffff41951ade932e26f758077f4c1e86e1d8342b4a349090c9"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FJUMEL3KY7ZNCRK7B3TAHQRJ3B/bundle.json","state_url":"https://pith.science/pith/FJUMEL3KY7ZNCRK7B3TAHQRJ3B/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FJUMEL3KY7ZNCRK7B3TAHQRJ3B/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":"2026-06-02T01:51:07Z","links":{"resolver":"https://pith.science/pith/FJUMEL3KY7ZNCRK7B3TAHQRJ3B","bundle":"https://pith.science/pith/FJUMEL3KY7ZNCRK7B3TAHQRJ3B/bundle.json","state":"https://pith.science/pith/FJUMEL3KY7ZNCRK7B3TAHQRJ3B/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FJUMEL3KY7ZNCRK7B3TAHQRJ3B/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:FJUMEL3KY7ZNCRK7B3TAHQRJ3B","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":"0830dd08eb05bda6d2364473c9a3454b67c9f573517699139ac304e7551d2951","cross_cats_sorted":["cs.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2010-02-10T23:08:49Z","title_canon_sha256":"908ee67dbe3ec431dab7987b418c25c8d661fad9b0293a21f8cd25fbcba7cd50"},"schema_version":"1.0","source":{"id":"1002.2236","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1002.2236","created_at":"2026-05-18T02:59:16Z"},{"alias_kind":"arxiv_version","alias_value":"1002.2236v3","created_at":"2026-05-18T02:59:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1002.2236","created_at":"2026-05-18T02:59:16Z"},{"alias_kind":"pith_short_12","alias_value":"FJUMEL3KY7ZN","created_at":"2026-05-18T12:26:07Z"},{"alias_kind":"pith_short_16","alias_value":"FJUMEL3KY7ZNCRK7","created_at":"2026-05-18T12:26:07Z"},{"alias_kind":"pith_short_8","alias_value":"FJUMEL3K","created_at":"2026-05-18T12:26:07Z"}],"graph_snapshots":[{"event_id":"sha256:5798626732df75ffff41951ade932e26f758077f4c1e86e1d8342b4a349090c9","target":"graph","created_at":"2026-05-18T02:59:16Z","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 define and study a new abstract domain which is a fine-grained combination of zonotopes with polyhedric domains such as the interval, octagon, linear templates or polyhedron domain. While abstract transfer functions are still rather inexpensive and accurate even for interpreting non-linear computations, we are able to also interpret tests (i.e. intersections) efficiently. This fixes a known drawback of zonotopic methods, as used for reachability analysis for hybrid sys- tems as well as for invariant generation in abstract interpretation: intersection of zonotopes are not always zonotopes, a","authors_text":"Eric Goubault, Khalil Ghorbal, Sylvie Putot","cross_cats":["cs.NA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2010-02-10T23:08:49Z","title":"A Logical Product Approach to Zonotope Intersection"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1002.2236","kind":"arxiv","version":3},"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:a922c49f66bf7163bcdd640ef38586d05581306ccfa5a35ec54528c65fc5cf58","target":"record","created_at":"2026-05-18T02:59:16Z","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":"0830dd08eb05bda6d2364473c9a3454b67c9f573517699139ac304e7551d2951","cross_cats_sorted":["cs.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2010-02-10T23:08:49Z","title_canon_sha256":"908ee67dbe3ec431dab7987b418c25c8d661fad9b0293a21f8cd25fbcba7cd50"},"schema_version":"1.0","source":{"id":"1002.2236","kind":"arxiv","version":3}},"canonical_sha256":"2a68c22f6ac7f2d1455f0ee603c229d87be773e7c30f9b9c4cacdb591bee252d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2a68c22f6ac7f2d1455f0ee603c229d87be773e7c30f9b9c4cacdb591bee252d","first_computed_at":"2026-05-18T02:59:16.709180Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:59:16.709180Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"zSG5L/63O2eKzzKZ5Q3qWDx+W7phX6FShpG4oH5wgi+hOFmtSbJ3pOnxRAQIaKNmZ92IZdb53P7b+a1Z6ts0CA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:59:16.709795Z","signed_message":"canonical_sha256_bytes"},"source_id":"1002.2236","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a922c49f66bf7163bcdd640ef38586d05581306ccfa5a35ec54528c65fc5cf58","sha256:5798626732df75ffff41951ade932e26f758077f4c1e86e1d8342b4a349090c9"],"state_sha256":"e80cf9f9ac634c6954a48d802bc817d2d20a6841c9aa99bbf80521b663ed71c0"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"c6K+9xg+Usn+Bv/X6R3KKmguaVQl1f3JE4c8ckt4y4l78ypAPT1O1q5n58FY6/pknf4y+okz330EWcevgI3vBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T01:51:07.181980Z","bundle_sha256":"3c571513d3f95865fcb4e69f8e979297ebe524e7a59434756e05e19087401d2b"}}