{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2022:Z45BITS2Y7FEO2AP45MRPPUZ3W","short_pith_number":"pith:Z45BITS2","canonical_record":{"source":{"id":"2205.09918","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ME","submitted_at":"2022-05-20T01:17:03Z","cross_cats_sorted":["stat.AP"],"title_canon_sha256":"b88b52b11047736febc9d08bf46398db7f3d9d9eb485eb928f2dec935618ef38","abstract_canon_sha256":"eb684ba47cd5f5bc26f2309dc96d228a7308de86785fbb16741800c55724b35c"},"schema_version":"1.0"},"canonical_sha256":"cf3a144e5ac7ca47680fe75917be99dd98f44d91518b860500e8f3b219b0ad08","source":{"kind":"arxiv","id":"2205.09918","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"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2022:Z45BITS2Y7FEO2AP45MRPPUZ3W","target":"record","payload":{"canonical_record":{"source":{"id":"2205.09918","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ME","submitted_at":"2022-05-20T01:17:03Z","cross_cats_sorted":["stat.AP"],"title_canon_sha256":"b88b52b11047736febc9d08bf46398db7f3d9d9eb485eb928f2dec935618ef38","abstract_canon_sha256":"eb684ba47cd5f5bc26f2309dc96d228a7308de86785fbb16741800c55724b35c"},"schema_version":"1.0"},"canonical_sha256":"cf3a144e5ac7ca47680fe75917be99dd98f44d91518b860500e8f3b219b0ad08","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T04:25:01.509440Z","signature_b64":"1yzfsP1ncR81ObGTG11Sn+MvozY3YsBbatBhg8cfh1QefOyIwj710ZU86GxXI8mXSyXhx++0EpLi3an+n47VCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cf3a144e5ac7ca47680fe75917be99dd98f44d91518b860500e8f3b219b0ad08","last_reissued_at":"2026-07-05T04:25:01.508953Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T04:25:01.508953Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2205.09918","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":"2026-07-05T04:25:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PxowJ/sKJkdnmI5PLa0fZRAIu4fKRkr0xGsK6LOym2//FKsVcXNZ8Yrenp/EV544zjf7S3/ILMQWbttl9bS5Aw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-17T00:46:06.887114Z"},"content_sha256":"78834a4d891ac2587727277dbb27be7d5d87302a57d5738256056eee248cf2b4","schema_version":"1.0","event_id":"sha256:78834a4d891ac2587727277dbb27be7d5d87302a57d5738256056eee248cf2b4"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2022:Z45BITS2Y7FEO2AP45MRPPUZ3W","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Multidimensional heterogeneity learning for count value tensor data with applications to field goal attempt analysis of NBA players","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["stat.AP"],"primary_cat":"stat.ME","authors_text":"Guanyu Hu, Weining Shen, Yishu Xue","submitted_at":"2022-05-20T01:17:03Z","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"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2205.09918","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2205.09918/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T04:25:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9koRKpqq75nf86TbGBwWALKLEpu3oBPK2WvmHXEf+yXQ6OBVyzb5SDkXwhbKoz1ibMpVmQL5h6JlLbEnfbEVCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-17T00:46:06.887508Z"},"content_sha256":"7f1774cdc53cf4e75998944212bc9e7614161d2a436293ef9c376d4113a4c8ca","schema_version":"1.0","event_id":"sha256:7f1774cdc53cf4e75998944212bc9e7614161d2a436293ef9c376d4113a4c8ca"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/Z45BITS2Y7FEO2AP45MRPPUZ3W/bundle.json","state_url":"https://pith.science/pith/Z45BITS2Y7FEO2AP45MRPPUZ3W/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/Z45BITS2Y7FEO2AP45MRPPUZ3W/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":"2026-07-17T00:46:06Z","links":{"resolver":"https://pith.science/pith/Z45BITS2Y7FEO2AP45MRPPUZ3W","bundle":"https://pith.science/pith/Z45BITS2Y7FEO2AP45MRPPUZ3W/bundle.json","state":"https://pith.science/pith/Z45BITS2Y7FEO2AP45MRPPUZ3W/state.json","well_known_bundle":"https://pith.science/.well-known/pith/Z45BITS2Y7FEO2AP45MRPPUZ3W/bundle.json"},"state":{"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"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TFpis59B37Z8nYWjW+4+n/5BkgPXrRhqtXHZEPvJHUnze1qIFqX0PNH+gB5BoT4TTPk1Qv9ywCQxdRh6eH6WDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-17T00:46:06.889567Z","bundle_sha256":"ce8379cf8a943ed80afa0cf0b64439ac0e17d6224be8bf70d146881ac1abb129"}}