{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:ZXUS2AFEQ6R2DGEKMRQ2DOIQD3","short_pith_number":"pith:ZXUS2AFE","canonical_record":{"source":{"id":"2509.05443","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ME","submitted_at":"2025-09-05T18:49:54Z","cross_cats_sorted":["stat.AP"],"title_canon_sha256":"662bd5c00d4e4a2017162ef0fc5bf78a5d9e887d36d510cef51c46f74f7f4023","abstract_canon_sha256":"be16a7bdc63ecf19921dd4b1746b6b04593d01ace86c391a798791c1e4a9258f"},"schema_version":"1.0"},"canonical_sha256":"cde92d00a487a3a1988a6461a1b9101ee06bce478f6ea6cb90b0e3e3acb95744","source":{"kind":"arxiv","id":"2509.05443","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2509.05443","created_at":"2026-05-22T01:04:53Z"},{"alias_kind":"arxiv_version","alias_value":"2509.05443v3","created_at":"2026-05-22T01:04:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2509.05443","created_at":"2026-05-22T01:04:53Z"},{"alias_kind":"pith_short_12","alias_value":"ZXUS2AFEQ6R2","created_at":"2026-05-22T01:04:53Z"},{"alias_kind":"pith_short_16","alias_value":"ZXUS2AFEQ6R2DGEK","created_at":"2026-05-22T01:04:53Z"},{"alias_kind":"pith_short_8","alias_value":"ZXUS2AFE","created_at":"2026-05-22T01:04:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:ZXUS2AFEQ6R2DGEKMRQ2DOIQD3","target":"record","payload":{"canonical_record":{"source":{"id":"2509.05443","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ME","submitted_at":"2025-09-05T18:49:54Z","cross_cats_sorted":["stat.AP"],"title_canon_sha256":"662bd5c00d4e4a2017162ef0fc5bf78a5d9e887d36d510cef51c46f74f7f4023","abstract_canon_sha256":"be16a7bdc63ecf19921dd4b1746b6b04593d01ace86c391a798791c1e4a9258f"},"schema_version":"1.0"},"canonical_sha256":"cde92d00a487a3a1988a6461a1b9101ee06bce478f6ea6cb90b0e3e3acb95744","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-22T01:04:53.709285Z","signature_b64":"YwwFYby6gPgBHuCu+YsZjBqN3Fovu5arZW2D3RoxQs83lJroP30iiiNb+WC3XnHn4sK35ZhlMepFOBaAktWqAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cde92d00a487a3a1988a6461a1b9101ee06bce478f6ea6cb90b0e3e3acb95744","last_reissued_at":"2026-05-22T01:04:53.708681Z","signature_status":"signed_v1","first_computed_at":"2026-05-22T01:04:53.708681Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2509.05443","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-22T01:04:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qFE81VujR3n8O3LHwzLnAtywkDjYAwKhKeBG6ubwdk+eTpFKsmBAYwguhF+RPA9mg//pQxoOZc1yQhH5ISQ0AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T21:07:48.633990Z"},"content_sha256":"5eeac57c62e158c5c4feabbcb3c6597fea28577eeae6258fb636f35483716a0b","schema_version":"1.0","event_id":"sha256:5eeac57c62e158c5c4feabbcb3c6597fea28577eeae6258fb636f35483716a0b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:ZXUS2AFEQ6R2DGEKMRQ2DOIQD3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Multidimensional constructs and moderated linear and nonlinear factor analysis","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["stat.AP"],"primary_cat":"stat.ME","authors_text":"R. Noah Padgett","submitted_at":"2025-09-05T18:49:54Z","abstract_excerpt":"Multidimensional factor models with moderations on all model parameters have so far been limited to single-factor and two-factor models. This does not align well with existing psychological measures, which are commonly intended to assess 3-5 dimensions of a latent construct. In this paper, I introduce a multidimensional MNLFA model that permits the moderation of item intercepts, loadings, residual variances, factor means, variances, and correlations across three or more latent factors. I describe efforts to implement the model using Bayesian methods through Stan and penalized maximum likelihoo"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2509.05443","kind":"arxiv","version":3},"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/2509.05443/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":"2026-05-22T01:04:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LTTGoI+sMcc6JEL2I/+yOA2irQIEEFsWQ52YF3xCboH6T7LoTqP8m6F8Qlr7J+ZKDDSV4S75C/3SrIP5L715CQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T21:07:48.634759Z"},"content_sha256":"6cdc9fa4d804036f1cfbc6628e1907a0a5cf42d861767ff8db08dbf91e6c4dc4","schema_version":"1.0","event_id":"sha256:6cdc9fa4d804036f1cfbc6628e1907a0a5cf42d861767ff8db08dbf91e6c4dc4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ZXUS2AFEQ6R2DGEKMRQ2DOIQD3/bundle.json","state_url":"https://pith.science/pith/ZXUS2AFEQ6R2DGEKMRQ2DOIQD3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ZXUS2AFEQ6R2DGEKMRQ2DOIQD3/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":"2026-06-11T21:07:48Z","links":{"resolver":"https://pith.science/pith/ZXUS2AFEQ6R2DGEKMRQ2DOIQD3","bundle":"https://pith.science/pith/ZXUS2AFEQ6R2DGEKMRQ2DOIQD3/bundle.json","state":"https://pith.science/pith/ZXUS2AFEQ6R2DGEKMRQ2DOIQD3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ZXUS2AFEQ6R2DGEKMRQ2DOIQD3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:ZXUS2AFEQ6R2DGEKMRQ2DOIQD3","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":"be16a7bdc63ecf19921dd4b1746b6b04593d01ace86c391a798791c1e4a9258f","cross_cats_sorted":["stat.AP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ME","submitted_at":"2025-09-05T18:49:54Z","title_canon_sha256":"662bd5c00d4e4a2017162ef0fc5bf78a5d9e887d36d510cef51c46f74f7f4023"},"schema_version":"1.0","source":{"id":"2509.05443","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2509.05443","created_at":"2026-05-22T01:04:53Z"},{"alias_kind":"arxiv_version","alias_value":"2509.05443v3","created_at":"2026-05-22T01:04:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2509.05443","created_at":"2026-05-22T01:04:53Z"},{"alias_kind":"pith_short_12","alias_value":"ZXUS2AFEQ6R2","created_at":"2026-05-22T01:04:53Z"},{"alias_kind":"pith_short_16","alias_value":"ZXUS2AFEQ6R2DGEK","created_at":"2026-05-22T01:04:53Z"},{"alias_kind":"pith_short_8","alias_value":"ZXUS2AFE","created_at":"2026-05-22T01:04:53Z"}],"graph_snapshots":[{"event_id":"sha256:6cdc9fa4d804036f1cfbc6628e1907a0a5cf42d861767ff8db08dbf91e6c4dc4","target":"graph","created_at":"2026-05-22T01:04:53Z","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/2509.05443/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Multidimensional factor models with moderations on all model parameters have so far been limited to single-factor and two-factor models. This does not align well with existing psychological measures, which are commonly intended to assess 3-5 dimensions of a latent construct. In this paper, I introduce a multidimensional MNLFA model that permits the moderation of item intercepts, loadings, residual variances, factor means, variances, and correlations across three or more latent factors. I describe efforts to implement the model using Bayesian methods through Stan and penalized maximum likelihoo","authors_text":"R. Noah Padgett","cross_cats":["stat.AP"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ME","submitted_at":"2025-09-05T18:49:54Z","title":"Multidimensional constructs and moderated linear and nonlinear factor analysis"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2509.05443","kind":"arxiv","version":3},"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":"sha256:5eeac57c62e158c5c4feabbcb3c6597fea28577eeae6258fb636f35483716a0b","target":"record","created_at":"2026-05-22T01:04:53Z","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":"be16a7bdc63ecf19921dd4b1746b6b04593d01ace86c391a798791c1e4a9258f","cross_cats_sorted":["stat.AP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ME","submitted_at":"2025-09-05T18:49:54Z","title_canon_sha256":"662bd5c00d4e4a2017162ef0fc5bf78a5d9e887d36d510cef51c46f74f7f4023"},"schema_version":"1.0","source":{"id":"2509.05443","kind":"arxiv","version":3}},"canonical_sha256":"cde92d00a487a3a1988a6461a1b9101ee06bce478f6ea6cb90b0e3e3acb95744","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cde92d00a487a3a1988a6461a1b9101ee06bce478f6ea6cb90b0e3e3acb95744","first_computed_at":"2026-05-22T01:04:53.708681Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-22T01:04:53.708681Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"YwwFYby6gPgBHuCu+YsZjBqN3Fovu5arZW2D3RoxQs83lJroP30iiiNb+WC3XnHn4sK35ZhlMepFOBaAktWqAg==","signature_status":"signed_v1","signed_at":"2026-05-22T01:04:53.709285Z","signed_message":"canonical_sha256_bytes"},"source_id":"2509.05443","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5eeac57c62e158c5c4feabbcb3c6597fea28577eeae6258fb636f35483716a0b","sha256:6cdc9fa4d804036f1cfbc6628e1907a0a5cf42d861767ff8db08dbf91e6c4dc4"],"state_sha256":"de2dc4d3460f3c6e134d8ff6a6d7566443f498c5cd74f3841243dad91153962f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dQc0QTN1M+BNPwp9C8fvXwN2SMnSLtwRzin5TvLnRJJXZ1haSiq8jORBhmc1JI1xs+KXPlmM0ig9e+CEAwtgCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-11T21:07:48.638977Z","bundle_sha256":"e3cca39bbe8fcb0d4b9413accebdb302d2ac800a7d27eadf75ebc5d99f823148"}}