{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:UZHABBW3MUUNYA5UKTABRVHRVQ","short_pith_number":"pith:UZHABBW3","canonical_record":{"source":{"id":"1207.4117","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.AI","submitted_at":"2012-07-11T14:44:05Z","cross_cats_sorted":[],"title_canon_sha256":"dc87eb16a4273c6e4bb42f26665905fd5cbe70a5c0ea8f8042c49b2993d945f6","abstract_canon_sha256":"cd8f6486b65fa272966fa8a30acd8107e39fd89d3fe0fbc63ed929cacfbbcb76"},"schema_version":"1.0"},"canonical_sha256":"a64e0086db6528dc03b454c018d4f1ac2b8b74cc34dafc9d386bb86e9c4d9958","source":{"kind":"arxiv","id":"1207.4117","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1207.4117","created_at":"2026-05-18T03:49:21Z"},{"alias_kind":"arxiv_version","alias_value":"1207.4117v2","created_at":"2026-05-18T03:49:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1207.4117","created_at":"2026-05-18T03:49:21Z"},{"alias_kind":"pith_short_12","alias_value":"UZHABBW3MUUN","created_at":"2026-05-18T12:27:25Z"},{"alias_kind":"pith_short_16","alias_value":"UZHABBW3MUUNYA5U","created_at":"2026-05-18T12:27:25Z"},{"alias_kind":"pith_short_8","alias_value":"UZHABBW3","created_at":"2026-05-18T12:27:25Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:UZHABBW3MUUNYA5UKTABRVHRVQ","target":"record","payload":{"canonical_record":{"source":{"id":"1207.4117","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.AI","submitted_at":"2012-07-11T14:44:05Z","cross_cats_sorted":[],"title_canon_sha256":"dc87eb16a4273c6e4bb42f26665905fd5cbe70a5c0ea8f8042c49b2993d945f6","abstract_canon_sha256":"cd8f6486b65fa272966fa8a30acd8107e39fd89d3fe0fbc63ed929cacfbbcb76"},"schema_version":"1.0"},"canonical_sha256":"a64e0086db6528dc03b454c018d4f1ac2b8b74cc34dafc9d386bb86e9c4d9958","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:49:21.515082Z","signature_b64":"Km7kW2KFlgNQRvb3q2QRaHLzn5/VHN89+VthWBMPKrzekyxdqYCdy20cCL8yId8JADvEOqMcWL85Mah7BRn3Bw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a64e0086db6528dc03b454c018d4f1ac2b8b74cc34dafc9d386bb86e9c4d9958","last_reissued_at":"2026-05-18T03:49:21.514372Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:49:21.514372Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1207.4117","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:49:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8mt7jsQ73eOiYbxG5VV/Hik+YOvjcVq/jdcqBA9l9jce33bX2R0Hhan89ZwXB2rII+Rj078VuDfjw+1UgudfBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-12T08:52:16.266038Z"},"content_sha256":"663377a215e58dc708a1db365596294398b61f5a47fb89ecd25cf25116d886a9","schema_version":"1.0","event_id":"sha256:663377a215e58dc708a1db365596294398b61f5a47fb89ecd25cf25116d886a9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:UZHABBW3MUUNYA5UKTABRVHRVQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A Unified framework for order-of-magnitude confidence relations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.AI","authors_text":"Didier Dubois, Helene Fargier","submitted_at":"2012-07-11T14:44:05Z","abstract_excerpt":"The aim of this work is to provide a unified framework for ordinal representations of uncertainty lying at the crosswords between possibility and probability theories. Such confidence relations between events are commonly found in monotonic reasoning, inconsistency management, or qualitative decision theory. They start either from probability theory, making it more qualitative, or from possibility theory, making it more expressive. We show these two trends converge to a class of genuine probability theories. We provide characterization results for these useful tools that preserve the qualitati"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1207.4117","kind":"arxiv","version":2},"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":"2026-05-18T03:49:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dUStIzMQFIUHOKFV+TyCt8IVvAQJVX+T+PnviOGXTxW+z+FPFvFl3byI6ZtCCpYYeSBUAMPiRX9jaGZwRVD2CQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-12T08:52:16.266393Z"},"content_sha256":"ac203de6ec4cf56b317e1d5e883d0eaf74ea54f9b7af67a5b153c7ff11e4b94b","schema_version":"1.0","event_id":"sha256:ac203de6ec4cf56b317e1d5e883d0eaf74ea54f9b7af67a5b153c7ff11e4b94b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/UZHABBW3MUUNYA5UKTABRVHRVQ/bundle.json","state_url":"https://pith.science/pith/UZHABBW3MUUNYA5UKTABRVHRVQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/UZHABBW3MUUNYA5UKTABRVHRVQ/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":"2026-06-12T08:52:16Z","links":{"resolver":"https://pith.science/pith/UZHABBW3MUUNYA5UKTABRVHRVQ","bundle":"https://pith.science/pith/UZHABBW3MUUNYA5UKTABRVHRVQ/bundle.json","state":"https://pith.science/pith/UZHABBW3MUUNYA5UKTABRVHRVQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/UZHABBW3MUUNYA5UKTABRVHRVQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:UZHABBW3MUUNYA5UKTABRVHRVQ","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":"cd8f6486b65fa272966fa8a30acd8107e39fd89d3fe0fbc63ed929cacfbbcb76","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.AI","submitted_at":"2012-07-11T14:44:05Z","title_canon_sha256":"dc87eb16a4273c6e4bb42f26665905fd5cbe70a5c0ea8f8042c49b2993d945f6"},"schema_version":"1.0","source":{"id":"1207.4117","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1207.4117","created_at":"2026-05-18T03:49:21Z"},{"alias_kind":"arxiv_version","alias_value":"1207.4117v2","created_at":"2026-05-18T03:49:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1207.4117","created_at":"2026-05-18T03:49:21Z"},{"alias_kind":"pith_short_12","alias_value":"UZHABBW3MUUN","created_at":"2026-05-18T12:27:25Z"},{"alias_kind":"pith_short_16","alias_value":"UZHABBW3MUUNYA5U","created_at":"2026-05-18T12:27:25Z"},{"alias_kind":"pith_short_8","alias_value":"UZHABBW3","created_at":"2026-05-18T12:27:25Z"}],"graph_snapshots":[{"event_id":"sha256:ac203de6ec4cf56b317e1d5e883d0eaf74ea54f9b7af67a5b153c7ff11e4b94b","target":"graph","created_at":"2026-05-18T03:49:21Z","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":"The aim of this work is to provide a unified framework for ordinal representations of uncertainty lying at the crosswords between possibility and probability theories. Such confidence relations between events are commonly found in monotonic reasoning, inconsistency management, or qualitative decision theory. They start either from probability theory, making it more qualitative, or from possibility theory, making it more expressive. We show these two trends converge to a class of genuine probability theories. We provide characterization results for these useful tools that preserve the qualitati","authors_text":"Didier Dubois, Helene Fargier","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.AI","submitted_at":"2012-07-11T14:44:05Z","title":"A Unified framework for order-of-magnitude confidence relations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1207.4117","kind":"arxiv","version":2},"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":"sha256:663377a215e58dc708a1db365596294398b61f5a47fb89ecd25cf25116d886a9","target":"record","created_at":"2026-05-18T03:49:21Z","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":"cd8f6486b65fa272966fa8a30acd8107e39fd89d3fe0fbc63ed929cacfbbcb76","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.AI","submitted_at":"2012-07-11T14:44:05Z","title_canon_sha256":"dc87eb16a4273c6e4bb42f26665905fd5cbe70a5c0ea8f8042c49b2993d945f6"},"schema_version":"1.0","source":{"id":"1207.4117","kind":"arxiv","version":2}},"canonical_sha256":"a64e0086db6528dc03b454c018d4f1ac2b8b74cc34dafc9d386bb86e9c4d9958","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a64e0086db6528dc03b454c018d4f1ac2b8b74cc34dafc9d386bb86e9c4d9958","first_computed_at":"2026-05-18T03:49:21.514372Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:49:21.514372Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Km7kW2KFlgNQRvb3q2QRaHLzn5/VHN89+VthWBMPKrzekyxdqYCdy20cCL8yId8JADvEOqMcWL85Mah7BRn3Bw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:49:21.515082Z","signed_message":"canonical_sha256_bytes"},"source_id":"1207.4117","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:663377a215e58dc708a1db365596294398b61f5a47fb89ecd25cf25116d886a9","sha256:ac203de6ec4cf56b317e1d5e883d0eaf74ea54f9b7af67a5b153c7ff11e4b94b"],"state_sha256":"46b9668110d3b142406196ec110e9a105fd153427695b97ed69848ddd8b0519e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"myNMqziECD57LJVrluLLVXAnhl/iQNSVBrfSA1gjlaY/F69CAjg8cbWugi4qvt5CSe3zPz/zeT748iXyDgOQAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-12T08:52:16.268401Z","bundle_sha256":"6f7ca07e59f31b42e3a7dee82f18b5e034dcbb52afb5ce68d302134cd69e729d"}}