{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:Z45BITS2Y7FEO2AP45MRPPUZ3W","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":"eb684ba47cd5f5bc26f2309dc96d228a7308de86785fbb16741800c55724b35c","cross_cats_sorted":["stat.AP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ME","submitted_at":"2022-05-20T01:17:03Z","title_canon_sha256":"b88b52b11047736febc9d08bf46398db7f3d9d9eb485eb928f2dec935618ef38"},"schema_version":"1.0","source":{"id":"2205.09918","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2205.09918","created_at":"2026-07-05T04:25:01Z"},{"alias_kind":"arxiv_version","alias_value":"2205.09918v1","created_at":"2026-07-05T04:25:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2205.09918","created_at":"2026-07-05T04:25:01Z"},{"alias_kind":"pith_short_12","alias_value":"Z45BITS2Y7FE","created_at":"2026-07-05T04:25:01Z"},{"alias_kind":"pith_short_16","alias_value":"Z45BITS2Y7FEO2AP","created_at":"2026-07-05T04:25:01Z"},{"alias_kind":"pith_short_8","alias_value":"Z45BITS2","created_at":"2026-07-05T04:25:01Z"}],"graph_snapshots":[{"event_id":"sha256:7f1774cdc53cf4e75998944212bc9e7614161d2a436293ef9c376d4113a4c8ca","target":"graph","created_at":"2026-07-05T04:25:01Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2205.09918/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We propose a multidimensional tensor clustering approach for studying how professional basketball players' shooting patterns vary over court locations and game time. Unlike most existing methods that only study continuous-valued tensors or have to assume the same cluster structure along different tensor directions, we propose a Bayesian nonparametric model that deals with count-valued tensors and projects the heterogeneity among players onto tensor dimensions while allowing cluster structures to be different over directions. Our method is fully probabilistic; hence allows simultaneous inferenc","authors_text":"Guanyu Hu, Weining Shen, Yishu Xue","cross_cats":["stat.AP"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ME","submitted_at":"2022-05-20T01:17:03Z","title":"Multidimensional heterogeneity learning for count value tensor data with applications to field goal attempt analysis of NBA players"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2205.09918","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":"sha256:78834a4d891ac2587727277dbb27be7d5d87302a57d5738256056eee248cf2b4","target":"record","created_at":"2026-07-05T04:25:01Z","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":"eb684ba47cd5f5bc26f2309dc96d228a7308de86785fbb16741800c55724b35c","cross_cats_sorted":["stat.AP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ME","submitted_at":"2022-05-20T01:17:03Z","title_canon_sha256":"b88b52b11047736febc9d08bf46398db7f3d9d9eb485eb928f2dec935618ef38"},"schema_version":"1.0","source":{"id":"2205.09918","kind":"arxiv","version":1}},"canonical_sha256":"cf3a144e5ac7ca47680fe75917be99dd98f44d91518b860500e8f3b219b0ad08","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cf3a144e5ac7ca47680fe75917be99dd98f44d91518b860500e8f3b219b0ad08","first_computed_at":"2026-07-05T04:25:01.508953Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T04:25:01.508953Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1yzfsP1ncR81ObGTG11Sn+MvozY3YsBbatBhg8cfh1QefOyIwj710ZU86GxXI8mXSyXhx++0EpLi3an+n47VCA==","signature_status":"signed_v1","signed_at":"2026-07-05T04:25:01.509440Z","signed_message":"canonical_sha256_bytes"},"source_id":"2205.09918","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:78834a4d891ac2587727277dbb27be7d5d87302a57d5738256056eee248cf2b4","sha256:7f1774cdc53cf4e75998944212bc9e7614161d2a436293ef9c376d4113a4c8ca"],"state_sha256":"5033a2e2336b5b4242130ba767ba11d6382a9eb263179df8eab9e9e1b445ecb5"}