{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:4B7WR3CUZVHNTIWTRGMLXD45EE","short_pith_number":"pith:4B7WR3CU","schema_version":"1.0","canonical_sha256":"e07f68ec54cd4ed9a2d38998bb8f9d210184d0845c1a2d30d5f8ee732ebf21e9","source":{"kind":"arxiv","id":"2605.25434","version":1},"attestation_state":"computed","paper":{"title":"Freely infinitely divisible $R$-diagonal elements and Brown measure","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.PR"],"primary_cat":"math.OA","authors_text":"Mihai Popa, Ping Zhong, Yu Kitagawa","submitted_at":"2026-05-25T05:17:10Z","abstract_excerpt":"We study freely infinitely divisible $R$-diagonal elements in the unbounded setting and Brown measures for free additive perturbations by such elements. This class includes circular elements, circular Cauchy elements, and other previously studied $R$-diagonal models. We construct examples and prove stability under several algebraic operations, including homogeneous noncommutative polynomials in bounded, freely independent elements from this class. Using results for general $R$-diagonal perturbations, together with several analytic estimates specific to freely infinitely divisible $R$-diagonal "},"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":"2605.25434","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2026-05-25T05:17:10Z","cross_cats_sorted":["math.PR"],"title_canon_sha256":"eb2a5de5653fe0cea69b123fc40668b8b9cb336707257ec6c78fc71152afe973","abstract_canon_sha256":"968c31cc901a56caaf86e246d212b8208517bf9f557ad1b46a54e8eca867f313"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-26T02:04:34.905396Z","signature_b64":"QnVItiaWB71jP76K46WSIA0xnz3yJj2D8ImX11zwmBzUMJ3N/k5G+cqz+qkgq76pf2Ce5UmawQ9aExu3HkQ9CA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e07f68ec54cd4ed9a2d38998bb8f9d210184d0845c1a2d30d5f8ee732ebf21e9","last_reissued_at":"2026-05-26T02:04:34.904554Z","signature_status":"signed_v1","first_computed_at":"2026-05-26T02:04:34.904554Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Freely infinitely divisible $R$-diagonal elements and Brown measure","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.PR"],"primary_cat":"math.OA","authors_text":"Mihai Popa, Ping Zhong, Yu Kitagawa","submitted_at":"2026-05-25T05:17:10Z","abstract_excerpt":"We study freely infinitely divisible $R$-diagonal elements in the unbounded setting and Brown measures for free additive perturbations by such elements. This class includes circular elements, circular Cauchy elements, and other previously studied $R$-diagonal models. We construct examples and prove stability under several algebraic operations, including homogeneous noncommutative polynomials in bounded, freely independent elements from this class. Using results for general $R$-diagonal perturbations, together with several analytic estimates specific to freely infinitely divisible $R$-diagonal "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.25434","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/2605.25434/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":"2605.25434","created_at":"2026-05-26T02:04:34.904704+00:00"},{"alias_kind":"arxiv_version","alias_value":"2605.25434v1","created_at":"2026-05-26T02:04:34.904704+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.25434","created_at":"2026-05-26T02:04:34.904704+00:00"},{"alias_kind":"pith_short_12","alias_value":"4B7WR3CUZVHN","created_at":"2026-05-26T02:04:34.904704+00:00"},{"alias_kind":"pith_short_16","alias_value":"4B7WR3CUZVHNTIWT","created_at":"2026-05-26T02:04:34.904704+00:00"},{"alias_kind":"pith_short_8","alias_value":"4B7WR3CU","created_at":"2026-05-26T02:04:34.904704+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/4B7WR3CUZVHNTIWTRGMLXD45EE","json":"https://pith.science/pith/4B7WR3CUZVHNTIWTRGMLXD45EE.json","graph_json":"https://pith.science/api/pith-number/4B7WR3CUZVHNTIWTRGMLXD45EE/graph.json","events_json":"https://pith.science/api/pith-number/4B7WR3CUZVHNTIWTRGMLXD45EE/events.json","paper":"https://pith.science/paper/4B7WR3CU"},"agent_actions":{"view_html":"https://pith.science/pith/4B7WR3CUZVHNTIWTRGMLXD45EE","download_json":"https://pith.science/pith/4B7WR3CUZVHNTIWTRGMLXD45EE.json","view_paper":"https://pith.science/paper/4B7WR3CU","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2605.25434&json=true","fetch_graph":"https://pith.science/api/pith-number/4B7WR3CUZVHNTIWTRGMLXD45EE/graph.json","fetch_events":"https://pith.science/api/pith-number/4B7WR3CUZVHNTIWTRGMLXD45EE/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/4B7WR3CUZVHNTIWTRGMLXD45EE/action/timestamp_anchor","attest_storage":"https://pith.science/pith/4B7WR3CUZVHNTIWTRGMLXD45EE/action/storage_attestation","attest_author":"https://pith.science/pith/4B7WR3CUZVHNTIWTRGMLXD45EE/action/author_attestation","sign_citation":"https://pith.science/pith/4B7WR3CUZVHNTIWTRGMLXD45EE/action/citation_signature","submit_replication":"https://pith.science/pith/4B7WR3CUZVHNTIWTRGMLXD45EE/action/replication_record"}},"created_at":"2026-05-26T02:04:34.904704+00:00","updated_at":"2026-05-26T02:04:34.904704+00:00"}