{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:IB5A4LORNYKASPL6B7GT6STSBC","short_pith_number":"pith:IB5A4LOR","canonical_record":{"source":{"id":"1010.5667","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2010-10-27T12:17:10Z","cross_cats_sorted":["hep-ph","math.MP"],"title_canon_sha256":"6a709ff65aca1d31517a306165435f5fbd9dc1aa15a44bafe1fd00db241d1c17","abstract_canon_sha256":"3c1e411e3dae5529c398af82909a950a791d65de3cad09dda686c0318314f35f"},"schema_version":"1.0"},"canonical_sha256":"407a0e2dd16e14093d7e0fcd3f4a72088870fab430f21c387b43ab4d9dcdead3","source":{"kind":"arxiv","id":"1010.5667","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1010.5667","created_at":"2026-05-18T04:24:52Z"},{"alias_kind":"arxiv_version","alias_value":"1010.5667v1","created_at":"2026-05-18T04:24:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1010.5667","created_at":"2026-05-18T04:24:52Z"},{"alias_kind":"pith_short_12","alias_value":"IB5A4LORNYKA","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_16","alias_value":"IB5A4LORNYKASPL6","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_8","alias_value":"IB5A4LOR","created_at":"2026-05-18T12:26:09Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:IB5A4LORNYKASPL6B7GT6STSBC","target":"record","payload":{"canonical_record":{"source":{"id":"1010.5667","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2010-10-27T12:17:10Z","cross_cats_sorted":["hep-ph","math.MP"],"title_canon_sha256":"6a709ff65aca1d31517a306165435f5fbd9dc1aa15a44bafe1fd00db241d1c17","abstract_canon_sha256":"3c1e411e3dae5529c398af82909a950a791d65de3cad09dda686c0318314f35f"},"schema_version":"1.0"},"canonical_sha256":"407a0e2dd16e14093d7e0fcd3f4a72088870fab430f21c387b43ab4d9dcdead3","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:24:52.858488Z","signature_b64":"cGO5xLK+yA4GU9Iy/mFigdUCj6qWDzS4hrFePXiolpgCHJC7R5vW6B3Fw0xMRh+w2Eb77pTSAxkzWNcj2wOuDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"407a0e2dd16e14093d7e0fcd3f4a72088870fab430f21c387b43ab4d9dcdead3","last_reissued_at":"2026-05-18T04:24:52.857944Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:24:52.857944Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1010.5667","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":"2026-05-18T04:24:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"M+kdZDh8AfosQ7XYGfxCEn8H9HLZIVJaqUq5DWl8dLs48iOZJHh5zlk2fKd5tQSS4AJ8lI/rrxMx+0s1SnW6Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-19T18:42:39.239116Z"},"content_sha256":"5a5116ff398e2c6023aaf410357d24d1d2dba9921a5ff79489f8526b890e0beb","schema_version":"1.0","event_id":"sha256:5a5116ff398e2c6023aaf410357d24d1d2dba9921a5ff79489f8526b890e0beb"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:IB5A4LORNYKASPL6B7GT6STSBC","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"SU(6)$\\supset$SU(3)xSU(2) and SU(8)$\\supset$SU(4)xSU(2) Clebsch-Gordan coefficients","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph","math.MP"],"primary_cat":"math-ph","authors_text":"C. Garcia-Recio, L.L. Salcedo","submitted_at":"2010-10-27T12:17:10Z","abstract_excerpt":"Tables of scalar factors are presented for 63x63 and 120x63 in SU(8)$\\supset$SU(4)xSU(2), and for 35x35 and 56x35 in SU(6)$\\supset$SU(3)xSU(2). Related tables for SU(4)$\\supset$SU(3)xU(1) and SU(3)$\\supset$SU(2)xU(1) are also provided so that the Clebsch-Gordan coefficients can be completely reconstructed. These are suitable to study meson-meson and baryon-meson within a spin-flavor symmetric scheme."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1010.5667","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:24:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oBpU/rYCxd36LXA9DtqFsBaGDmPpIuzY+lvgEbCKMHO6sQOmjVVxCmY+tDCml2bDLjculaauCqvL5adzpqelAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-19T18:42:39.239486Z"},"content_sha256":"df8f8e777b7af4436b9e8aba8720f0e769192d70857becfa8c000fd720bb7f29","schema_version":"1.0","event_id":"sha256:df8f8e777b7af4436b9e8aba8720f0e769192d70857becfa8c000fd720bb7f29"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/IB5A4LORNYKASPL6B7GT6STSBC/bundle.json","state_url":"https://pith.science/pith/IB5A4LORNYKASPL6B7GT6STSBC/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/IB5A4LORNYKASPL6B7GT6STSBC/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":"2026-05-19T18:42:39Z","links":{"resolver":"https://pith.science/pith/IB5A4LORNYKASPL6B7GT6STSBC","bundle":"https://pith.science/pith/IB5A4LORNYKASPL6B7GT6STSBC/bundle.json","state":"https://pith.science/pith/IB5A4LORNYKASPL6B7GT6STSBC/state.json","well_known_bundle":"https://pith.science/.well-known/pith/IB5A4LORNYKASPL6B7GT6STSBC/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:IB5A4LORNYKASPL6B7GT6STSBC","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":"3c1e411e3dae5529c398af82909a950a791d65de3cad09dda686c0318314f35f","cross_cats_sorted":["hep-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2010-10-27T12:17:10Z","title_canon_sha256":"6a709ff65aca1d31517a306165435f5fbd9dc1aa15a44bafe1fd00db241d1c17"},"schema_version":"1.0","source":{"id":"1010.5667","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1010.5667","created_at":"2026-05-18T04:24:52Z"},{"alias_kind":"arxiv_version","alias_value":"1010.5667v1","created_at":"2026-05-18T04:24:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1010.5667","created_at":"2026-05-18T04:24:52Z"},{"alias_kind":"pith_short_12","alias_value":"IB5A4LORNYKA","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_16","alias_value":"IB5A4LORNYKASPL6","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_8","alias_value":"IB5A4LOR","created_at":"2026-05-18T12:26:09Z"}],"graph_snapshots":[{"event_id":"sha256:df8f8e777b7af4436b9e8aba8720f0e769192d70857becfa8c000fd720bb7f29","target":"graph","created_at":"2026-05-18T04:24:52Z","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"},"paper":{"abstract_excerpt":"Tables of scalar factors are presented for 63x63 and 120x63 in SU(8)$\\supset$SU(4)xSU(2), and for 35x35 and 56x35 in SU(6)$\\supset$SU(3)xSU(2). Related tables for SU(4)$\\supset$SU(3)xU(1) and SU(3)$\\supset$SU(2)xU(1) are also provided so that the Clebsch-Gordan coefficients can be completely reconstructed. These are suitable to study meson-meson and baryon-meson within a spin-flavor symmetric scheme.","authors_text":"C. Garcia-Recio, L.L. Salcedo","cross_cats":["hep-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2010-10-27T12:17:10Z","title":"SU(6)$\\supset$SU(3)xSU(2) and SU(8)$\\supset$SU(4)xSU(2) Clebsch-Gordan coefficients"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1010.5667","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":"sha256:5a5116ff398e2c6023aaf410357d24d1d2dba9921a5ff79489f8526b890e0beb","target":"record","created_at":"2026-05-18T04:24:52Z","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":"3c1e411e3dae5529c398af82909a950a791d65de3cad09dda686c0318314f35f","cross_cats_sorted":["hep-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2010-10-27T12:17:10Z","title_canon_sha256":"6a709ff65aca1d31517a306165435f5fbd9dc1aa15a44bafe1fd00db241d1c17"},"schema_version":"1.0","source":{"id":"1010.5667","kind":"arxiv","version":1}},"canonical_sha256":"407a0e2dd16e14093d7e0fcd3f4a72088870fab430f21c387b43ab4d9dcdead3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"407a0e2dd16e14093d7e0fcd3f4a72088870fab430f21c387b43ab4d9dcdead3","first_computed_at":"2026-05-18T04:24:52.857944Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:24:52.857944Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"cGO5xLK+yA4GU9Iy/mFigdUCj6qWDzS4hrFePXiolpgCHJC7R5vW6B3Fw0xMRh+w2Eb77pTSAxkzWNcj2wOuDw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:24:52.858488Z","signed_message":"canonical_sha256_bytes"},"source_id":"1010.5667","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5a5116ff398e2c6023aaf410357d24d1d2dba9921a5ff79489f8526b890e0beb","sha256:df8f8e777b7af4436b9e8aba8720f0e769192d70857becfa8c000fd720bb7f29"],"state_sha256":"57fc221f71efb135561ee23bd48a35aae6c34d005f4461477ee22283b7291c3b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cndAeHqLD90+FOO2aiDXx7jBk7ZOXQcep2g3XfI5GvZHlN6OECJgKbDRrHx5ByQr29RFJAJLf+YZ0CbcruJ+Bg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-19T18:42:39.241633Z","bundle_sha256":"e8735c855bc9e5aa2fe9ad86808e6a3ea8d33208fe4e9e59b288797c8345a412"}}