{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1999:7VMDHSY7UZZTJAWRAI2MBIK6OI","short_pith_number":"pith:7VMDHSY7","canonical_record":{"source":{"id":"solv-int/9910003","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"solv-int","submitted_at":"1999-10-13T10:48:37Z","cross_cats_sorted":["math-ph","math.MP","nlin.SI"],"title_canon_sha256":"b2a7ead5594e110e9d985f4a4ca13bf0b7bb595a4a5e8a25a70a7d6d572beb3a","abstract_canon_sha256":"79c38b4a0455398dc943d43ab1113015f78db761d6415cee9311b39aceda1832"},"schema_version":"1.0"},"canonical_sha256":"fd5833cb1fa6733482d10234c0a15e7223eaf247e5a65cf2070781beb7e7b35b","source":{"kind":"arxiv","id":"solv-int/9910003","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"solv-int/9910003","created_at":"2026-05-18T01:04:59Z"},{"alias_kind":"arxiv_version","alias_value":"solv-int/9910003v1","created_at":"2026-05-18T01:04:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.solv-int/9910003","created_at":"2026-05-18T01:04:59Z"},{"alias_kind":"pith_short_12","alias_value":"7VMDHSY7UZZT","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"7VMDHSY7UZZTJAWR","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"7VMDHSY7","created_at":"2026-05-18T12:25:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1999:7VMDHSY7UZZTJAWRAI2MBIK6OI","target":"record","payload":{"canonical_record":{"source":{"id":"solv-int/9910003","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"solv-int","submitted_at":"1999-10-13T10:48:37Z","cross_cats_sorted":["math-ph","math.MP","nlin.SI"],"title_canon_sha256":"b2a7ead5594e110e9d985f4a4ca13bf0b7bb595a4a5e8a25a70a7d6d572beb3a","abstract_canon_sha256":"79c38b4a0455398dc943d43ab1113015f78db761d6415cee9311b39aceda1832"},"schema_version":"1.0"},"canonical_sha256":"fd5833cb1fa6733482d10234c0a15e7223eaf247e5a65cf2070781beb7e7b35b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:04:59.893685Z","signature_b64":"F6xFtgkSxDPAIX2lbVNJrRmJWIrCranV/Wv1dvw7eTc96kihsqqCd+zjYKq1f7ieeTinQWuj1pMjLlht9orkCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fd5833cb1fa6733482d10234c0a15e7223eaf247e5a65cf2070781beb7e7b35b","last_reissued_at":"2026-05-18T01:04:59.893245Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:04:59.893245Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"solv-int/9910003","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":"2026-05-18T01:04:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QjV9XME1wibSM1jIKwgtbhrZblApirALehyA8v3T7AoGW6TBWoeOp+FHadwes3afpPMeMlc7T8CFWz2+zLnIBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T17:21:49.806100Z"},"content_sha256":"a03d81acebf3045538596c0c06133bf0f4bc7a3424854d2631be99319189aa9c","schema_version":"1.0","event_id":"sha256:a03d81acebf3045538596c0c06133bf0f4bc7a3424854d2631be99319189aa9c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1999:7VMDHSY7UZZTJAWRAI2MBIK6OI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Yang-Baxter Algebra for the n-Harmonic Oscillator Realisation of sp(2n,R)","license":"","headline":"","cross_cats":["math-ph","math.MP","nlin.SI"],"primary_cat":"solv-int","authors_text":"A.J. Macfarlane, F. Wagner","submitted_at":"1999-10-13T10:48:37Z","abstract_excerpt":"Using a rational R-matrix associated with the 4 x 4 defining matrix representation of c_2=sp(4), the Lie algebra of Sp(4), a one-site operator solution of the associated Yang-Baxter algebra acting in the Fock space of two harmonic oscillators is derived. This is used to define N-site integrable systems, which are soluble by a version of the algebraic Bethe ansatz method without nesting. All essential aspects of the work generalise directly from c_2 to c_n."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"solv-int/9910003","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":"2026-05-18T01:04:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"whHGCVmt8T2SpnViucQXX3MTzlcWOPXFNNLDoGuPz5jF/OCMVINKDD92IvjDbv3fQqLfKbKwb2y6ADdtG9nTAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T17:21:49.806644Z"},"content_sha256":"2eb504f5594912c9ac12a681508f6782cdcb2aef2f1fe739d827f23e9515fd03","schema_version":"1.0","event_id":"sha256:2eb504f5594912c9ac12a681508f6782cdcb2aef2f1fe739d827f23e9515fd03"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7VMDHSY7UZZTJAWRAI2MBIK6OI/bundle.json","state_url":"https://pith.science/pith/7VMDHSY7UZZTJAWRAI2MBIK6OI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7VMDHSY7UZZTJAWRAI2MBIK6OI/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":"2026-05-30T17:21:49Z","links":{"resolver":"https://pith.science/pith/7VMDHSY7UZZTJAWRAI2MBIK6OI","bundle":"https://pith.science/pith/7VMDHSY7UZZTJAWRAI2MBIK6OI/bundle.json","state":"https://pith.science/pith/7VMDHSY7UZZTJAWRAI2MBIK6OI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7VMDHSY7UZZTJAWRAI2MBIK6OI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1999:7VMDHSY7UZZTJAWRAI2MBIK6OI","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":"79c38b4a0455398dc943d43ab1113015f78db761d6415cee9311b39aceda1832","cross_cats_sorted":["math-ph","math.MP","nlin.SI"],"license":"","primary_cat":"solv-int","submitted_at":"1999-10-13T10:48:37Z","title_canon_sha256":"b2a7ead5594e110e9d985f4a4ca13bf0b7bb595a4a5e8a25a70a7d6d572beb3a"},"schema_version":"1.0","source":{"id":"solv-int/9910003","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"solv-int/9910003","created_at":"2026-05-18T01:04:59Z"},{"alias_kind":"arxiv_version","alias_value":"solv-int/9910003v1","created_at":"2026-05-18T01:04:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.solv-int/9910003","created_at":"2026-05-18T01:04:59Z"},{"alias_kind":"pith_short_12","alias_value":"7VMDHSY7UZZT","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"7VMDHSY7UZZTJAWR","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"7VMDHSY7","created_at":"2026-05-18T12:25:49Z"}],"graph_snapshots":[{"event_id":"sha256:2eb504f5594912c9ac12a681508f6782cdcb2aef2f1fe739d827f23e9515fd03","target":"graph","created_at":"2026-05-18T01:04:59Z","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":"Using a rational R-matrix associated with the 4 x 4 defining matrix representation of c_2=sp(4), the Lie algebra of Sp(4), a one-site operator solution of the associated Yang-Baxter algebra acting in the Fock space of two harmonic oscillators is derived. This is used to define N-site integrable systems, which are soluble by a version of the algebraic Bethe ansatz method without nesting. All essential aspects of the work generalise directly from c_2 to c_n.","authors_text":"A.J. Macfarlane, F. Wagner","cross_cats":["math-ph","math.MP","nlin.SI"],"headline":"","license":"","primary_cat":"solv-int","submitted_at":"1999-10-13T10:48:37Z","title":"Yang-Baxter Algebra for the n-Harmonic Oscillator Realisation of sp(2n,R)"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"solv-int/9910003","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:a03d81acebf3045538596c0c06133bf0f4bc7a3424854d2631be99319189aa9c","target":"record","created_at":"2026-05-18T01:04:59Z","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":"79c38b4a0455398dc943d43ab1113015f78db761d6415cee9311b39aceda1832","cross_cats_sorted":["math-ph","math.MP","nlin.SI"],"license":"","primary_cat":"solv-int","submitted_at":"1999-10-13T10:48:37Z","title_canon_sha256":"b2a7ead5594e110e9d985f4a4ca13bf0b7bb595a4a5e8a25a70a7d6d572beb3a"},"schema_version":"1.0","source":{"id":"solv-int/9910003","kind":"arxiv","version":1}},"canonical_sha256":"fd5833cb1fa6733482d10234c0a15e7223eaf247e5a65cf2070781beb7e7b35b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fd5833cb1fa6733482d10234c0a15e7223eaf247e5a65cf2070781beb7e7b35b","first_computed_at":"2026-05-18T01:04:59.893245Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:04:59.893245Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"F6xFtgkSxDPAIX2lbVNJrRmJWIrCranV/Wv1dvw7eTc96kihsqqCd+zjYKq1f7ieeTinQWuj1pMjLlht9orkCA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:04:59.893685Z","signed_message":"canonical_sha256_bytes"},"source_id":"solv-int/9910003","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a03d81acebf3045538596c0c06133bf0f4bc7a3424854d2631be99319189aa9c","sha256:2eb504f5594912c9ac12a681508f6782cdcb2aef2f1fe739d827f23e9515fd03"],"state_sha256":"22335e40bfb9e20d1ee22fb7fabc2e4487412776710042a65ddc237ecd262560"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5PwYGX3+niX5dPQpmq9+TX0Tv1t8g95MsftrWd4tJQe8h9fFacM7q9KqSCfhuTYAbE0s5GnzpLj4WJplQA7qDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T17:21:49.811371Z","bundle_sha256":"6338cf79b668ef9fa5baa6bd5b223338d81d5a6c4b5cd2cdbed83ce2b372c191"}}