{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:RN7NLXVYYRWSXYNWZNIN5M46HG","short_pith_number":"pith:RN7NLXVY","schema_version":"1.0","canonical_sha256":"8b7ed5deb8c46d2be1b6cb50deb39e39b34b00a97ccc0436c1ec86332b277408","source":{"kind":"arxiv","id":"1303.5746","version":1},"attestation_state":"computed","paper":{"title":"Structuring Bodies of Evidence","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.AI","authors_text":"Sandra Sandri","submitted_at":"2013-03-20T15:33:02Z","abstract_excerpt":"In this article we present two ways of structuring bodies of evidence, which allow us to reduce the complexity of the operations usually performed in the framework of evidence theory.  The first structure just partitions the focal elements in a body of evidence by their cardinality.  With this structure we are able to reduce the complexity on the calculation of the belief functions Bel, Pl, and Q.  The other structure proposed here, the Hierarchical Trees, permits us to reduce the complexity of the calculation of Bel, Pl, and Q, as well as of the Dempster's rule of combination in relation to t"},"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":"1303.5746","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.AI","submitted_at":"2013-03-20T15:33:02Z","cross_cats_sorted":[],"title_canon_sha256":"41b21f2f43f45aa1bc566be28ab76e7dd30cb027e30ae03ffd8aeba81ebead9f","abstract_canon_sha256":"2772bd01bd60f487c28b309fe027150714d51c6fd4f1895cb8ee594c7ca7fbf9"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:30:01.419791Z","signature_b64":"+khaoR3HKyhEuDdWl1w3xY4C554A2ngy9ufjgOR4OqYOeil+u2o+wpwmtdwUL4yIj10fp+2o4rhjOQITBGXQCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8b7ed5deb8c46d2be1b6cb50deb39e39b34b00a97ccc0436c1ec86332b277408","last_reissued_at":"2026-05-18T03:30:01.419230Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:30:01.419230Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Structuring Bodies of Evidence","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.AI","authors_text":"Sandra Sandri","submitted_at":"2013-03-20T15:33:02Z","abstract_excerpt":"In this article we present two ways of structuring bodies of evidence, which allow us to reduce the complexity of the operations usually performed in the framework of evidence theory.  The first structure just partitions the focal elements in a body of evidence by their cardinality.  With this structure we are able to reduce the complexity on the calculation of the belief functions Bel, Pl, and Q.  The other structure proposed here, the Hierarchical Trees, permits us to reduce the complexity of the calculation of Bel, Pl, and Q, as well as of the Dempster's rule of combination in relation to t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.5746","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":"1303.5746","created_at":"2026-05-18T03:30:01.419328+00:00"},{"alias_kind":"arxiv_version","alias_value":"1303.5746v1","created_at":"2026-05-18T03:30:01.419328+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.5746","created_at":"2026-05-18T03:30:01.419328+00:00"},{"alias_kind":"pith_short_12","alias_value":"RN7NLXVYYRWS","created_at":"2026-05-18T12:27:59.945178+00:00"},{"alias_kind":"pith_short_16","alias_value":"RN7NLXVYYRWSXYNW","created_at":"2026-05-18T12:27:59.945178+00:00"},{"alias_kind":"pith_short_8","alias_value":"RN7NLXVY","created_at":"2026-05-18T12:27:59.945178+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/RN7NLXVYYRWSXYNWZNIN5M46HG","json":"https://pith.science/pith/RN7NLXVYYRWSXYNWZNIN5M46HG.json","graph_json":"https://pith.science/api/pith-number/RN7NLXVYYRWSXYNWZNIN5M46HG/graph.json","events_json":"https://pith.science/api/pith-number/RN7NLXVYYRWSXYNWZNIN5M46HG/events.json","paper":"https://pith.science/paper/RN7NLXVY"},"agent_actions":{"view_html":"https://pith.science/pith/RN7NLXVYYRWSXYNWZNIN5M46HG","download_json":"https://pith.science/pith/RN7NLXVYYRWSXYNWZNIN5M46HG.json","view_paper":"https://pith.science/paper/RN7NLXVY","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1303.5746&json=true","fetch_graph":"https://pith.science/api/pith-number/RN7NLXVYYRWSXYNWZNIN5M46HG/graph.json","fetch_events":"https://pith.science/api/pith-number/RN7NLXVYYRWSXYNWZNIN5M46HG/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/RN7NLXVYYRWSXYNWZNIN5M46HG/action/timestamp_anchor","attest_storage":"https://pith.science/pith/RN7NLXVYYRWSXYNWZNIN5M46HG/action/storage_attestation","attest_author":"https://pith.science/pith/RN7NLXVYYRWSXYNWZNIN5M46HG/action/author_attestation","sign_citation":"https://pith.science/pith/RN7NLXVYYRWSXYNWZNIN5M46HG/action/citation_signature","submit_replication":"https://pith.science/pith/RN7NLXVYYRWSXYNWZNIN5M46HG/action/replication_record"}},"created_at":"2026-05-18T03:30:01.419328+00:00","updated_at":"2026-05-18T03:30:01.419328+00:00"}