{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:RU4FQL5XJSNJI4FP4LFH4XZZE3","short_pith_number":"pith:RU4FQL5X","schema_version":"1.0","canonical_sha256":"8d38582fb74c9a9470afe2ca7e5f3926c02e97aa6219ba5840f9cd48f493ffa6","source":{"kind":"arxiv","id":"2605.26740","version":1},"attestation_state":"computed","paper":{"title":"A Unified Theory of Ownership Concentration, Overlap, and Dependence","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"q-fin.PM","authors_text":"Iro Tasitsiomi, Miquel Noguer i Alonso","submitted_at":"2026-05-26T09:13:19Z","abstract_excerpt":"Ownership concentration is not a scalar. For a normalized investor-stock matrix $A$, it has three irreducible layers: concentration across investors, concentration across stocks, and dependence in the joint assignment of investors to stocks. This paper develops a unified quadratic framework for those layers and shows that the same residual operator that measures static overlap also governs linearized market transmission. Raw micro concentration $M(A) = \\sum_{i,j} A_{ij}^2$ admits exact row and column decompositions, support bounds, and fixed-marginal extremal characterizations on the transport"},"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":"2605.26740","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.PM","submitted_at":"2026-05-26T09:13:19Z","cross_cats_sorted":[],"title_canon_sha256":"0c8ccc2a311cd446946375d1c6dcd9762c1936a8f93557a46d703e27cc69434e","abstract_canon_sha256":"ccde0012c45dd18b49af2e659ef48ab8ea260a77324355074a705c8490ab81ce"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-27T01:06:10.191335Z","signature_b64":"rY8pj8/jta4NYJgzbMIez7iddJlEVp5FgDD64sM4kFqufaNsnp4Z/ezX9/bWxD0UUGuBm3RyZZ5zzyFPxg8MCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8d38582fb74c9a9470afe2ca7e5f3926c02e97aa6219ba5840f9cd48f493ffa6","last_reissued_at":"2026-05-27T01:06:10.190585Z","signature_status":"signed_v1","first_computed_at":"2026-05-27T01:06:10.190585Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A Unified Theory of Ownership Concentration, Overlap, and Dependence","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"q-fin.PM","authors_text":"Iro Tasitsiomi, Miquel Noguer i Alonso","submitted_at":"2026-05-26T09:13:19Z","abstract_excerpt":"Ownership concentration is not a scalar. For a normalized investor-stock matrix $A$, it has three irreducible layers: concentration across investors, concentration across stocks, and dependence in the joint assignment of investors to stocks. This paper develops a unified quadratic framework for those layers and shows that the same residual operator that measures static overlap also governs linearized market transmission. Raw micro concentration $M(A) = \\sum_{i,j} A_{ij}^2$ admits exact row and column decompositions, support bounds, and fixed-marginal extremal characterizations on the transport"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.26740","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/2605.26740/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"2605.26740","created_at":"2026-05-27T01:06:10.190717+00:00"},{"alias_kind":"arxiv_version","alias_value":"2605.26740v1","created_at":"2026-05-27T01:06:10.190717+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.26740","created_at":"2026-05-27T01:06:10.190717+00:00"},{"alias_kind":"pith_short_12","alias_value":"RU4FQL5XJSNJ","created_at":"2026-05-27T01:06:10.190717+00:00"},{"alias_kind":"pith_short_16","alias_value":"RU4FQL5XJSNJI4FP","created_at":"2026-05-27T01:06:10.190717+00:00"},{"alias_kind":"pith_short_8","alias_value":"RU4FQL5X","created_at":"2026-05-27T01:06:10.190717+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/RU4FQL5XJSNJI4FP4LFH4XZZE3","json":"https://pith.science/pith/RU4FQL5XJSNJI4FP4LFH4XZZE3.json","graph_json":"https://pith.science/api/pith-number/RU4FQL5XJSNJI4FP4LFH4XZZE3/graph.json","events_json":"https://pith.science/api/pith-number/RU4FQL5XJSNJI4FP4LFH4XZZE3/events.json","paper":"https://pith.science/paper/RU4FQL5X"},"agent_actions":{"view_html":"https://pith.science/pith/RU4FQL5XJSNJI4FP4LFH4XZZE3","download_json":"https://pith.science/pith/RU4FQL5XJSNJI4FP4LFH4XZZE3.json","view_paper":"https://pith.science/paper/RU4FQL5X","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2605.26740&json=true","fetch_graph":"https://pith.science/api/pith-number/RU4FQL5XJSNJI4FP4LFH4XZZE3/graph.json","fetch_events":"https://pith.science/api/pith-number/RU4FQL5XJSNJI4FP4LFH4XZZE3/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/RU4FQL5XJSNJI4FP4LFH4XZZE3/action/timestamp_anchor","attest_storage":"https://pith.science/pith/RU4FQL5XJSNJI4FP4LFH4XZZE3/action/storage_attestation","attest_author":"https://pith.science/pith/RU4FQL5XJSNJI4FP4LFH4XZZE3/action/author_attestation","sign_citation":"https://pith.science/pith/RU4FQL5XJSNJI4FP4LFH4XZZE3/action/citation_signature","submit_replication":"https://pith.science/pith/RU4FQL5XJSNJI4FP4LFH4XZZE3/action/replication_record"}},"created_at":"2026-05-27T01:06:10.190717+00:00","updated_at":"2026-05-27T01:06:10.190717+00:00"}