{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:UQJMZQK5N5RXNN6XTP2TKGROF2","short_pith_number":"pith:UQJMZQK5","canonical_record":{"source":{"id":"1303.5437","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.AI","submitted_at":"2013-03-13T12:55:58Z","cross_cats_sorted":[],"title_canon_sha256":"fa072f1b77bcff254e600b874911228bfb185516e517f73bd6869739e64c7fac","abstract_canon_sha256":"3ca93af71eea59226d646c3375109960092d20758c8ac24a1e81200cacf6a032"},"schema_version":"1.0"},"canonical_sha256":"a412ccc15d6f6376b7d79bf5351a2e2e8e6f402e1ae036cd6603d94b2e4b0aca","source":{"kind":"arxiv","id":"1303.5437","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1303.5437","created_at":"2026-05-18T03:30:04Z"},{"alias_kind":"arxiv_version","alias_value":"1303.5437v1","created_at":"2026-05-18T03:30:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.5437","created_at":"2026-05-18T03:30:04Z"},{"alias_kind":"pith_short_12","alias_value":"UQJMZQK5N5RX","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_16","alias_value":"UQJMZQK5N5RXNN6X","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_8","alias_value":"UQJMZQK5","created_at":"2026-05-18T12:28:02Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:UQJMZQK5N5RXNN6XTP2TKGROF2","target":"record","payload":{"canonical_record":{"source":{"id":"1303.5437","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.AI","submitted_at":"2013-03-13T12:55:58Z","cross_cats_sorted":[],"title_canon_sha256":"fa072f1b77bcff254e600b874911228bfb185516e517f73bd6869739e64c7fac","abstract_canon_sha256":"3ca93af71eea59226d646c3375109960092d20758c8ac24a1e81200cacf6a032"},"schema_version":"1.0"},"canonical_sha256":"a412ccc15d6f6376b7d79bf5351a2e2e8e6f402e1ae036cd6603d94b2e4b0aca","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:30:04.152604Z","signature_b64":"1ZyuyOV5vWbSwU82NsCIVnMDb7X2uGa9Cq8Xr/Ysa8YdmWMCgJS15eqnAi79JGsdrvF3wUGNgfEVPkTxi1XWCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a412ccc15d6f6376b7d79bf5351a2e2e8e6f402e1ae036cd6603d94b2e4b0aca","last_reissued_at":"2026-05-18T03:30:04.152032Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:30:04.152032Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1303.5437","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":"2026-05-18T03:30:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"P/Mmtkt0WhWyEHWRaXKS3ENnJeJHS/JKimrerHCuT52LeEm0812/KjH7zun/6f4YOrLAmb460s14SgphbC3XCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T22:45:48.675585Z"},"content_sha256":"08ea89db486befb69d66ba57c020beb500e46ff380b491452e96b05a4fe22d4d","schema_version":"1.0","event_id":"sha256:08ea89db486befb69d66ba57c020beb500e46ff380b491452e96b05a4fe22d4d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:UQJMZQK5N5RXNN6XTP2TKGROF2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Interval Structure: A Framework for Representing Uncertain Information","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.AI","authors_text":"L. S. Wang, Michael S. K. M. Wong, Y. Y. Yao","submitted_at":"2013-03-13T12:55:58Z","abstract_excerpt":"In this paper, a unified framework for representing uncertain information based on the notion of an interval structure is proposed.  It is shown that the lower and upper approximations of the rough-set model, the lower and upper bounds of incidence calculus, and the belief and plausibility functions all obey the axioms of an interval structure.  An interval structure can be used to synthesize the decision rules provided by the experts.  An efficient algorithm to find the desirable set of rules is developed from a set of sound and complete inference axioms."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.5437","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:30:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CODPi+QrZIrvgLwzlnJtqvl9Nd0kjnnwdeBpUE2KiHPp4IMVOrOL90cq4sAzXV3cNVQ4hWpwuQoFUcagAuuzAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T22:45:48.676226Z"},"content_sha256":"9bdc9e37bf0c125e63089fa446e09bcda84dad72ccdfc6952b6a8693fc975688","schema_version":"1.0","event_id":"sha256:9bdc9e37bf0c125e63089fa446e09bcda84dad72ccdfc6952b6a8693fc975688"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/UQJMZQK5N5RXNN6XTP2TKGROF2/bundle.json","state_url":"https://pith.science/pith/UQJMZQK5N5RXNN6XTP2TKGROF2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/UQJMZQK5N5RXNN6XTP2TKGROF2/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":"2026-06-11T22:45:48Z","links":{"resolver":"https://pith.science/pith/UQJMZQK5N5RXNN6XTP2TKGROF2","bundle":"https://pith.science/pith/UQJMZQK5N5RXNN6XTP2TKGROF2/bundle.json","state":"https://pith.science/pith/UQJMZQK5N5RXNN6XTP2TKGROF2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/UQJMZQK5N5RXNN6XTP2TKGROF2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:UQJMZQK5N5RXNN6XTP2TKGROF2","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":"3ca93af71eea59226d646c3375109960092d20758c8ac24a1e81200cacf6a032","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.AI","submitted_at":"2013-03-13T12:55:58Z","title_canon_sha256":"fa072f1b77bcff254e600b874911228bfb185516e517f73bd6869739e64c7fac"},"schema_version":"1.0","source":{"id":"1303.5437","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1303.5437","created_at":"2026-05-18T03:30:04Z"},{"alias_kind":"arxiv_version","alias_value":"1303.5437v1","created_at":"2026-05-18T03:30:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.5437","created_at":"2026-05-18T03:30:04Z"},{"alias_kind":"pith_short_12","alias_value":"UQJMZQK5N5RX","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_16","alias_value":"UQJMZQK5N5RXNN6X","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_8","alias_value":"UQJMZQK5","created_at":"2026-05-18T12:28:02Z"}],"graph_snapshots":[{"event_id":"sha256:9bdc9e37bf0c125e63089fa446e09bcda84dad72ccdfc6952b6a8693fc975688","target":"graph","created_at":"2026-05-18T03:30:04Z","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":"In this paper, a unified framework for representing uncertain information based on the notion of an interval structure is proposed.  It is shown that the lower and upper approximations of the rough-set model, the lower and upper bounds of incidence calculus, and the belief and plausibility functions all obey the axioms of an interval structure.  An interval structure can be used to synthesize the decision rules provided by the experts.  An efficient algorithm to find the desirable set of rules is developed from a set of sound and complete inference axioms.","authors_text":"L. S. Wang, Michael S. K. M. Wong, Y. Y. Yao","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.AI","submitted_at":"2013-03-13T12:55:58Z","title":"Interval Structure: A Framework for Representing Uncertain Information"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.5437","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":"sha256:08ea89db486befb69d66ba57c020beb500e46ff380b491452e96b05a4fe22d4d","target":"record","created_at":"2026-05-18T03:30:04Z","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":"3ca93af71eea59226d646c3375109960092d20758c8ac24a1e81200cacf6a032","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.AI","submitted_at":"2013-03-13T12:55:58Z","title_canon_sha256":"fa072f1b77bcff254e600b874911228bfb185516e517f73bd6869739e64c7fac"},"schema_version":"1.0","source":{"id":"1303.5437","kind":"arxiv","version":1}},"canonical_sha256":"a412ccc15d6f6376b7d79bf5351a2e2e8e6f402e1ae036cd6603d94b2e4b0aca","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a412ccc15d6f6376b7d79bf5351a2e2e8e6f402e1ae036cd6603d94b2e4b0aca","first_computed_at":"2026-05-18T03:30:04.152032Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:30:04.152032Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1ZyuyOV5vWbSwU82NsCIVnMDb7X2uGa9Cq8Xr/Ysa8YdmWMCgJS15eqnAi79JGsdrvF3wUGNgfEVPkTxi1XWCg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:30:04.152604Z","signed_message":"canonical_sha256_bytes"},"source_id":"1303.5437","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:08ea89db486befb69d66ba57c020beb500e46ff380b491452e96b05a4fe22d4d","sha256:9bdc9e37bf0c125e63089fa446e09bcda84dad72ccdfc6952b6a8693fc975688"],"state_sha256":"542b324e8f698a0ee061f87e8eb058273a6bae371cbf374cb8d8e49392dd65d4"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xpcl1kCRec46atcep5z5F9arYyW0DPyqA8uVtU8V37PaJgM7A99GxV/VMz3/2ecLmQQC+tDO3VoXNtQz5QpyBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-11T22:45:48.680239Z","bundle_sha256":"53ff466a291f299bc9f5638914be87b9351b717dd21030190b67994aac75c787"}}