{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:YE6E6ZABODOBXMX5IEN4CA7PQU","short_pith_number":"pith:YE6E6ZAB","schema_version":"1.0","canonical_sha256":"c13c4f640170dc1bb2fd411bc103ef852c4b94f0fc0246c664871b88387b1055","source":{"kind":"arxiv","id":"1906.10410","version":1},"attestation_state":"computed","paper":{"title":"Resolution of SU(3) Outer Multiplicity Problem and the $SU(3)\\otimes SU(3)$ Invariant Group $SO(4,2)$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Atul Rathor, Manu Mathur, T. P. Sreeraj","submitted_at":"2019-06-25T09:28:02Z","abstract_excerpt":"We resolve the SU(3) outer multiplicity problem by defining all possible $SU(3)\\otimes SU(3)$ invariant operators in terms of SU(3) Schwinger bosons. We show that the elementary invariant operators relevant to the outer multiplicity problem form SO(4,2) algebra. Further, they enable us to construct a family of operators any one of which can be used to distinguish repeating representations present in the reduction of the direct product of two SU(3) irreducible representations."},"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":"1906.10410","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2019-06-25T09:28:02Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"c37596b512e9bee3829b2202a8e010cdab41c0654073cc400175babd90c90edf","abstract_canon_sha256":"47c688aea9fc4b8defaee79a2466f330a2003259b4f9d5a0d80e0143c4d5d8d7"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:42:18.130925Z","signature_b64":"QSje9+O9aL5PBhRMyfy2t2K1/E8CfWqiqmeNtxrlwMY87iRBNlkDyZ4CbV8Z6jn9LVyymB3jNNfytpKO8brdAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c13c4f640170dc1bb2fd411bc103ef852c4b94f0fc0246c664871b88387b1055","last_reissued_at":"2026-05-17T23:42:18.130441Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:42:18.130441Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Resolution of SU(3) Outer Multiplicity Problem and the $SU(3)\\otimes SU(3)$ Invariant Group $SO(4,2)$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Atul Rathor, Manu Mathur, T. P. Sreeraj","submitted_at":"2019-06-25T09:28:02Z","abstract_excerpt":"We resolve the SU(3) outer multiplicity problem by defining all possible $SU(3)\\otimes SU(3)$ invariant operators in terms of SU(3) Schwinger bosons. We show that the elementary invariant operators relevant to the outer multiplicity problem form SO(4,2) algebra. Further, they enable us to construct a family of operators any one of which can be used to distinguish repeating representations present in the reduction of the direct product of two SU(3) irreducible representations."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1906.10410","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":""},"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":"1906.10410","created_at":"2026-05-17T23:42:18.130514+00:00"},{"alias_kind":"arxiv_version","alias_value":"1906.10410v1","created_at":"2026-05-17T23:42:18.130514+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1906.10410","created_at":"2026-05-17T23:42:18.130514+00:00"},{"alias_kind":"pith_short_12","alias_value":"YE6E6ZABODOB","created_at":"2026-05-18T12:33:33.725879+00:00"},{"alias_kind":"pith_short_16","alias_value":"YE6E6ZABODOBXMX5","created_at":"2026-05-18T12:33:33.725879+00:00"},{"alias_kind":"pith_short_8","alias_value":"YE6E6ZAB","created_at":"2026-05-18T12:33:33.725879+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/YE6E6ZABODOBXMX5IEN4CA7PQU","json":"https://pith.science/pith/YE6E6ZABODOBXMX5IEN4CA7PQU.json","graph_json":"https://pith.science/api/pith-number/YE6E6ZABODOBXMX5IEN4CA7PQU/graph.json","events_json":"https://pith.science/api/pith-number/YE6E6ZABODOBXMX5IEN4CA7PQU/events.json","paper":"https://pith.science/paper/YE6E6ZAB"},"agent_actions":{"view_html":"https://pith.science/pith/YE6E6ZABODOBXMX5IEN4CA7PQU","download_json":"https://pith.science/pith/YE6E6ZABODOBXMX5IEN4CA7PQU.json","view_paper":"https://pith.science/paper/YE6E6ZAB","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1906.10410&json=true","fetch_graph":"https://pith.science/api/pith-number/YE6E6ZABODOBXMX5IEN4CA7PQU/graph.json","fetch_events":"https://pith.science/api/pith-number/YE6E6ZABODOBXMX5IEN4CA7PQU/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/YE6E6ZABODOBXMX5IEN4CA7PQU/action/timestamp_anchor","attest_storage":"https://pith.science/pith/YE6E6ZABODOBXMX5IEN4CA7PQU/action/storage_attestation","attest_author":"https://pith.science/pith/YE6E6ZABODOBXMX5IEN4CA7PQU/action/author_attestation","sign_citation":"https://pith.science/pith/YE6E6ZABODOBXMX5IEN4CA7PQU/action/citation_signature","submit_replication":"https://pith.science/pith/YE6E6ZABODOBXMX5IEN4CA7PQU/action/replication_record"}},"created_at":"2026-05-17T23:42:18.130514+00:00","updated_at":"2026-05-17T23:42:18.130514+00:00"}