{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2005:P7UXYGU4G6Q5RPGEUWKYNMXKLL","short_pith_number":"pith:P7UXYGU4","canonical_record":{"source":{"id":"nucl-th/0509096","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"nucl-th","submitted_at":"2005-09-30T01:47:16Z","cross_cats_sorted":[],"title_canon_sha256":"e9cccbba631d522a30096a64ecdb29f4fd3f43d2b93b386eee25e25bf2129189","abstract_canon_sha256":"30fe9b32a236b136788a16eeb91447e9dbcb62c0e16eb78a496cad01f8090574"},"schema_version":"1.0"},"canonical_sha256":"7fe97c1a9c37a1d8bcc4a59586b2ea5ae4bc7ebd6aedb1b7be8e0638c780bae3","source":{"kind":"arxiv","id":"nucl-th/0509096","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"nucl-th/0509096","created_at":"2026-05-18T01:05:19Z"},{"alias_kind":"arxiv_version","alias_value":"nucl-th/0509096v1","created_at":"2026-05-18T01:05:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.nucl-th/0509096","created_at":"2026-05-18T01:05:19Z"},{"alias_kind":"pith_short_12","alias_value":"P7UXYGU4G6Q5","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_16","alias_value":"P7UXYGU4G6Q5RPGE","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_8","alias_value":"P7UXYGU4","created_at":"2026-05-18T12:25:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2005:P7UXYGU4G6Q5RPGEUWKYNMXKLL","target":"record","payload":{"canonical_record":{"source":{"id":"nucl-th/0509096","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"nucl-th","submitted_at":"2005-09-30T01:47:16Z","cross_cats_sorted":[],"title_canon_sha256":"e9cccbba631d522a30096a64ecdb29f4fd3f43d2b93b386eee25e25bf2129189","abstract_canon_sha256":"30fe9b32a236b136788a16eeb91447e9dbcb62c0e16eb78a496cad01f8090574"},"schema_version":"1.0"},"canonical_sha256":"7fe97c1a9c37a1d8bcc4a59586b2ea5ae4bc7ebd6aedb1b7be8e0638c780bae3","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:05:19.185490Z","signature_b64":"U2D0YqqNTIHrjA57+3UsmZ8kg6ETvUpQzPH7QJol6UUrR8IWLnG7XnwPKoBHqAwX80E6iyfWhpfPPcCoFxBSDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7fe97c1a9c37a1d8bcc4a59586b2ea5ae4bc7ebd6aedb1b7be8e0638c780bae3","last_reissued_at":"2026-05-18T01:05:19.185084Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:05:19.185084Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"nucl-th/0509096","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":"2026-05-18T01:05:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3m/mk2TRwsCE2cn01pkU2BYD8DJE2k5U1eXQkr0zuJRawMCgftKrKGe2I7vPQ4t/D44CP8YqlNVYLuTBwgjhDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T16:17:01.287212Z"},"content_sha256":"1228bd0f02772abdd7d3798179f62ce584182c0880bcdda087194c379fbc6896","schema_version":"1.0","event_id":"sha256:1228bd0f02772abdd7d3798179f62ce584182c0880bcdda087194c379fbc6896"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2005:P7UXYGU4G6Q5RPGEUWKYNMXKLL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Boson Realization of the su(3)-Algebra. I","license":"","headline":"","cross_cats":[],"primary_cat":"nucl-th","authors_text":"C.Providencia (Univ. de Coimbra, Japan), J.da Providencia (Univ. de Coimbra, M.Yamamura (Kansai Univ., Portugal), Y.Tsue (Kochi Univ.","submitted_at":"2005-09-30T01:47:16Z","abstract_excerpt":"Following a general form for the Schwinger boson representation of the su(M+1) Lipkin model presented in the previous paper, three types of the orthogonal sets characterizing the su(3)-algebra are proposed. In these three, third is presented in Appendix. The intrinsic state is specified by two quantum numbers and two excited state generating operators play a central role."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"nucl-th/0509096","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":"2026-05-18T01:05:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wntvl37E9FZtzqWTEWWawzCz4yQ6qmT2C+9gOSp/OJxA0RGrdmp0IGK6c/tKAUCFPyHic7wPmbTRGo1ggNaDCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T16:17:01.287872Z"},"content_sha256":"96b10a13f8d2a6317ba0086f2b755ebd37080f1373a01ce3b03097f9a4fce0d7","schema_version":"1.0","event_id":"sha256:96b10a13f8d2a6317ba0086f2b755ebd37080f1373a01ce3b03097f9a4fce0d7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/P7UXYGU4G6Q5RPGEUWKYNMXKLL/bundle.json","state_url":"https://pith.science/pith/P7UXYGU4G6Q5RPGEUWKYNMXKLL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/P7UXYGU4G6Q5RPGEUWKYNMXKLL/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":"2026-06-07T16:17:01Z","links":{"resolver":"https://pith.science/pith/P7UXYGU4G6Q5RPGEUWKYNMXKLL","bundle":"https://pith.science/pith/P7UXYGU4G6Q5RPGEUWKYNMXKLL/bundle.json","state":"https://pith.science/pith/P7UXYGU4G6Q5RPGEUWKYNMXKLL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/P7UXYGU4G6Q5RPGEUWKYNMXKLL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2005:P7UXYGU4G6Q5RPGEUWKYNMXKLL","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":"30fe9b32a236b136788a16eeb91447e9dbcb62c0e16eb78a496cad01f8090574","cross_cats_sorted":[],"license":"","primary_cat":"nucl-th","submitted_at":"2005-09-30T01:47:16Z","title_canon_sha256":"e9cccbba631d522a30096a64ecdb29f4fd3f43d2b93b386eee25e25bf2129189"},"schema_version":"1.0","source":{"id":"nucl-th/0509096","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"nucl-th/0509096","created_at":"2026-05-18T01:05:19Z"},{"alias_kind":"arxiv_version","alias_value":"nucl-th/0509096v1","created_at":"2026-05-18T01:05:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.nucl-th/0509096","created_at":"2026-05-18T01:05:19Z"},{"alias_kind":"pith_short_12","alias_value":"P7UXYGU4G6Q5","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_16","alias_value":"P7UXYGU4G6Q5RPGE","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_8","alias_value":"P7UXYGU4","created_at":"2026-05-18T12:25:53Z"}],"graph_snapshots":[{"event_id":"sha256:96b10a13f8d2a6317ba0086f2b755ebd37080f1373a01ce3b03097f9a4fce0d7","target":"graph","created_at":"2026-05-18T01:05:19Z","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":"Following a general form for the Schwinger boson representation of the su(M+1) Lipkin model presented in the previous paper, three types of the orthogonal sets characterizing the su(3)-algebra are proposed. In these three, third is presented in Appendix. The intrinsic state is specified by two quantum numbers and two excited state generating operators play a central role.","authors_text":"C.Providencia (Univ. de Coimbra, Japan), J.da Providencia (Univ. de Coimbra, M.Yamamura (Kansai Univ., Portugal), Y.Tsue (Kochi Univ.","cross_cats":[],"headline":"","license":"","primary_cat":"nucl-th","submitted_at":"2005-09-30T01:47:16Z","title":"Boson Realization of the su(3)-Algebra. I"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"nucl-th/0509096","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":"sha256:1228bd0f02772abdd7d3798179f62ce584182c0880bcdda087194c379fbc6896","target":"record","created_at":"2026-05-18T01:05:19Z","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":"30fe9b32a236b136788a16eeb91447e9dbcb62c0e16eb78a496cad01f8090574","cross_cats_sorted":[],"license":"","primary_cat":"nucl-th","submitted_at":"2005-09-30T01:47:16Z","title_canon_sha256":"e9cccbba631d522a30096a64ecdb29f4fd3f43d2b93b386eee25e25bf2129189"},"schema_version":"1.0","source":{"id":"nucl-th/0509096","kind":"arxiv","version":1}},"canonical_sha256":"7fe97c1a9c37a1d8bcc4a59586b2ea5ae4bc7ebd6aedb1b7be8e0638c780bae3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7fe97c1a9c37a1d8bcc4a59586b2ea5ae4bc7ebd6aedb1b7be8e0638c780bae3","first_computed_at":"2026-05-18T01:05:19.185084Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:05:19.185084Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"U2D0YqqNTIHrjA57+3UsmZ8kg6ETvUpQzPH7QJol6UUrR8IWLnG7XnwPKoBHqAwX80E6iyfWhpfPPcCoFxBSDw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:05:19.185490Z","signed_message":"canonical_sha256_bytes"},"source_id":"nucl-th/0509096","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1228bd0f02772abdd7d3798179f62ce584182c0880bcdda087194c379fbc6896","sha256:96b10a13f8d2a6317ba0086f2b755ebd37080f1373a01ce3b03097f9a4fce0d7"],"state_sha256":"f28578ca174d1da0978e2526972a7e4cd1ebb9db4c7490630935234b92665cb5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zYp3oSv3yQuLoG7/JbvXmIcWQ9wAQF8uKBkp92UyuRVR2+So8lTQHy4DuoW/2jgj9Jpp6gVGbPo1R/UkYcj0BA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-07T16:17:01.291558Z","bundle_sha256":"15203649e1097ecddd191da730ca6c5a9368966c5670c251aaa4b6e9d5348d9a"}}