{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:B37AHDCK7VIZH4QZBT33T36RB3","short_pith_number":"pith:B37AHDCK","schema_version":"1.0","canonical_sha256":"0efe038c4afd5193f2190cf7b9efd10ec9c6b2c4d71bec04b98aeec61123ece9","source":{"kind":"arxiv","id":"1110.2295","version":2},"attestation_state":"computed","paper":{"title":"Basic statistics for probabilistic symbolic variables: a novel metric-based approach","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.ST","stat.TH"],"primary_cat":"stat.ME","authors_text":"Antonio Irpino, Rosanna Verde","submitted_at":"2011-10-11T08:16:15Z","abstract_excerpt":"In data mining, it is usually to describe a set of individuals using some summaries (means, standard deviations, histograms, confidence intervals) that generalize individual descriptions into a typology description. In this case, data can be described by several values. In this paper, we propose an approach for computing basic statics for such data, and, in particular, for data described by numerical multi-valued variables (interval, histograms, discrete multi-valued descriptions). We propose to treat all numerical multi-valued variables as distributional data, i.e. as individuals described by"},"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":"1110.2295","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2011-10-11T08:16:15Z","cross_cats_sorted":["math.ST","stat.TH"],"title_canon_sha256":"3dab588374cf5e6b47a723e3d9d5f5d4893378ae6438e12cd260824ceba05d5c","abstract_canon_sha256":"d37ded7520a022ad903bd8cd701190942d4d3a77d67398ecdfc5a99a9e06cb0f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:16:01.258843Z","signature_b64":"JHyOZBOt/KRVrzJs67iTt1YI8MwQU+ebm2tOvB9GZa8nw6FAVBU+czNOgQ87VfwNVJpHbjgFLk8aT0Z/x+5ZBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0efe038c4afd5193f2190cf7b9efd10ec9c6b2c4d71bec04b98aeec61123ece9","last_reissued_at":"2026-05-18T01:16:01.258208Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:16:01.258208Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Basic statistics for probabilistic symbolic variables: a novel metric-based approach","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.ST","stat.TH"],"primary_cat":"stat.ME","authors_text":"Antonio Irpino, Rosanna Verde","submitted_at":"2011-10-11T08:16:15Z","abstract_excerpt":"In data mining, it is usually to describe a set of individuals using some summaries (means, standard deviations, histograms, confidence intervals) that generalize individual descriptions into a typology description. In this case, data can be described by several values. In this paper, we propose an approach for computing basic statics for such data, and, in particular, for data described by numerical multi-valued variables (interval, histograms, discrete multi-valued descriptions). We propose to treat all numerical multi-valued variables as distributional data, i.e. as individuals described by"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1110.2295","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1110.2295","created_at":"2026-05-18T01:16:01.258306+00:00"},{"alias_kind":"arxiv_version","alias_value":"1110.2295v2","created_at":"2026-05-18T01:16:01.258306+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1110.2295","created_at":"2026-05-18T01:16:01.258306+00:00"},{"alias_kind":"pith_short_12","alias_value":"B37AHDCK7VIZ","created_at":"2026-05-18T12:26:24.575870+00:00"},{"alias_kind":"pith_short_16","alias_value":"B37AHDCK7VIZH4QZ","created_at":"2026-05-18T12:26:24.575870+00:00"},{"alias_kind":"pith_short_8","alias_value":"B37AHDCK","created_at":"2026-05-18T12:26:24.575870+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/B37AHDCK7VIZH4QZBT33T36RB3","json":"https://pith.science/pith/B37AHDCK7VIZH4QZBT33T36RB3.json","graph_json":"https://pith.science/api/pith-number/B37AHDCK7VIZH4QZBT33T36RB3/graph.json","events_json":"https://pith.science/api/pith-number/B37AHDCK7VIZH4QZBT33T36RB3/events.json","paper":"https://pith.science/paper/B37AHDCK"},"agent_actions":{"view_html":"https://pith.science/pith/B37AHDCK7VIZH4QZBT33T36RB3","download_json":"https://pith.science/pith/B37AHDCK7VIZH4QZBT33T36RB3.json","view_paper":"https://pith.science/paper/B37AHDCK","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1110.2295&json=true","fetch_graph":"https://pith.science/api/pith-number/B37AHDCK7VIZH4QZBT33T36RB3/graph.json","fetch_events":"https://pith.science/api/pith-number/B37AHDCK7VIZH4QZBT33T36RB3/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/B37AHDCK7VIZH4QZBT33T36RB3/action/timestamp_anchor","attest_storage":"https://pith.science/pith/B37AHDCK7VIZH4QZBT33T36RB3/action/storage_attestation","attest_author":"https://pith.science/pith/B37AHDCK7VIZH4QZBT33T36RB3/action/author_attestation","sign_citation":"https://pith.science/pith/B37AHDCK7VIZH4QZBT33T36RB3/action/citation_signature","submit_replication":"https://pith.science/pith/B37AHDCK7VIZH4QZBT33T36RB3/action/replication_record"}},"created_at":"2026-05-18T01:16:01.258306+00:00","updated_at":"2026-05-18T01:16:01.258306+00:00"}