{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:27UJD474XETYDMTVDGLSV7X4FP","short_pith_number":"pith:27UJD474","canonical_record":{"source":{"id":"0912.3788","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2009-12-18T20:16:32Z","cross_cats_sorted":["cond-mat.supr-con","math.MP","nucl-th"],"title_canon_sha256":"65bccdfc12384a6a33f9a776c95c46ad3a2acd5961812d1f40ed34d74e1320f0","abstract_canon_sha256":"99bbfc1b87e08d455a56a2e1b61420c4122fe901329be88181ef5e17c860389c"},"schema_version":"1.0"},"canonical_sha256":"d7e891f3fcb92781b27519972afefc2bc668a0bead3cfe1d9f51c6cef5d19eab","source":{"kind":"arxiv","id":"0912.3788","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0912.3788","created_at":"2026-05-18T02:10:15Z"},{"alias_kind":"arxiv_version","alias_value":"0912.3788v1","created_at":"2026-05-18T02:10:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0912.3788","created_at":"2026-05-18T02:10:15Z"},{"alias_kind":"pith_short_12","alias_value":"27UJD474XETY","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"27UJD474XETYDMTV","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"27UJD474","created_at":"2026-05-18T12:25:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:27UJD474XETYDMTVDGLSV7X4FP","target":"record","payload":{"canonical_record":{"source":{"id":"0912.3788","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2009-12-18T20:16:32Z","cross_cats_sorted":["cond-mat.supr-con","math.MP","nucl-th"],"title_canon_sha256":"65bccdfc12384a6a33f9a776c95c46ad3a2acd5961812d1f40ed34d74e1320f0","abstract_canon_sha256":"99bbfc1b87e08d455a56a2e1b61420c4122fe901329be88181ef5e17c860389c"},"schema_version":"1.0"},"canonical_sha256":"d7e891f3fcb92781b27519972afefc2bc668a0bead3cfe1d9f51c6cef5d19eab","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:10:15.461742Z","signature_b64":"JC5Yc9nL+1eEt0AKYHRYuOJ3yWnA0KVkuDK5y+Nvu2H4owi3NGMtlm/66juPo/5qEK4WsduOJTQglj+UQVmODg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d7e891f3fcb92781b27519972afefc2bc668a0bead3cfe1d9f51c6cef5d19eab","last_reissued_at":"2026-05-18T02:10:15.461138Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:10:15.461138Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0912.3788","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":"2026-05-18T02:10:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tbMlcildI5UT99MlBHjm96O2tMUMvs2mLpM0eBiGu9aLY1JevBv9S1WlPkPQ6i5u6/KXJQcHlH87fDgdK5zNCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T20:47:08.683832Z"},"content_sha256":"cc7aa5e26698d306f2d8e31a1a43c951abc7e624c52dfa0e1f56119724998646","schema_version":"1.0","event_id":"sha256:cc7aa5e26698d306f2d8e31a1a43c951abc7e624c52dfa0e1f56119724998646"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:27UJD474XETYDMTVDGLSV7X4FP","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Pairing in 4-component fermion systems: the bulk limit of SU(4)-symmetric Hamiltonians","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.supr-con","math.MP","nucl-th"],"primary_cat":"math-ph","authors_text":"B. Errea, C. Esebbag, G.F. Bertsch, J. Dukelsky","submitted_at":"2009-12-18T20:16:32Z","abstract_excerpt":"Fermion systems with more than two components can exhibit pairing condensates of much more complex structure than the well-known single BCS condensate of spin-up and spin-down fermions. In the framework of the exactly solvable SO(8) Richardson-Gaudin model with SU(4)-symmetric Hamiltonians, we show that the BCS approximation remains valid in the thermodynamic limit of large systems for describing the ground state energy and the canonical and quasiparticle excitation gaps. Correlations beyond BCS pairing give rise to a spectrum of collective excitations, but these do not affect the bulk energy "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0912.3788","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":"2026-05-18T02:10:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cmVscDUHbXWvp/lziwL9zxb07EQh2ct70xKz2PR2VJByshXQrn0lkgxf0XnHWHlFniXXtSQqmK0ekY2zQDTdBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T20:47:08.684510Z"},"content_sha256":"8d0adf0b310aab879e5a5a8aa093ec49c3da704f22699557ccc865c4179aee5e","schema_version":"1.0","event_id":"sha256:8d0adf0b310aab879e5a5a8aa093ec49c3da704f22699557ccc865c4179aee5e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/27UJD474XETYDMTVDGLSV7X4FP/bundle.json","state_url":"https://pith.science/pith/27UJD474XETYDMTVDGLSV7X4FP/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/27UJD474XETYDMTVDGLSV7X4FP/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":"2026-06-05T20:47:08Z","links":{"resolver":"https://pith.science/pith/27UJD474XETYDMTVDGLSV7X4FP","bundle":"https://pith.science/pith/27UJD474XETYDMTVDGLSV7X4FP/bundle.json","state":"https://pith.science/pith/27UJD474XETYDMTVDGLSV7X4FP/state.json","well_known_bundle":"https://pith.science/.well-known/pith/27UJD474XETYDMTVDGLSV7X4FP/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:27UJD474XETYDMTVDGLSV7X4FP","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":"99bbfc1b87e08d455a56a2e1b61420c4122fe901329be88181ef5e17c860389c","cross_cats_sorted":["cond-mat.supr-con","math.MP","nucl-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2009-12-18T20:16:32Z","title_canon_sha256":"65bccdfc12384a6a33f9a776c95c46ad3a2acd5961812d1f40ed34d74e1320f0"},"schema_version":"1.0","source":{"id":"0912.3788","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0912.3788","created_at":"2026-05-18T02:10:15Z"},{"alias_kind":"arxiv_version","alias_value":"0912.3788v1","created_at":"2026-05-18T02:10:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0912.3788","created_at":"2026-05-18T02:10:15Z"},{"alias_kind":"pith_short_12","alias_value":"27UJD474XETY","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"27UJD474XETYDMTV","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"27UJD474","created_at":"2026-05-18T12:25:58Z"}],"graph_snapshots":[{"event_id":"sha256:8d0adf0b310aab879e5a5a8aa093ec49c3da704f22699557ccc865c4179aee5e","target":"graph","created_at":"2026-05-18T02:10:15Z","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":"Fermion systems with more than two components can exhibit pairing condensates of much more complex structure than the well-known single BCS condensate of spin-up and spin-down fermions. In the framework of the exactly solvable SO(8) Richardson-Gaudin model with SU(4)-symmetric Hamiltonians, we show that the BCS approximation remains valid in the thermodynamic limit of large systems for describing the ground state energy and the canonical and quasiparticle excitation gaps. Correlations beyond BCS pairing give rise to a spectrum of collective excitations, but these do not affect the bulk energy ","authors_text":"B. Errea, C. Esebbag, G.F. Bertsch, J. Dukelsky","cross_cats":["cond-mat.supr-con","math.MP","nucl-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2009-12-18T20:16:32Z","title":"Pairing in 4-component fermion systems: the bulk limit of SU(4)-symmetric Hamiltonians"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0912.3788","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:cc7aa5e26698d306f2d8e31a1a43c951abc7e624c52dfa0e1f56119724998646","target":"record","created_at":"2026-05-18T02:10:15Z","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":"99bbfc1b87e08d455a56a2e1b61420c4122fe901329be88181ef5e17c860389c","cross_cats_sorted":["cond-mat.supr-con","math.MP","nucl-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2009-12-18T20:16:32Z","title_canon_sha256":"65bccdfc12384a6a33f9a776c95c46ad3a2acd5961812d1f40ed34d74e1320f0"},"schema_version":"1.0","source":{"id":"0912.3788","kind":"arxiv","version":1}},"canonical_sha256":"d7e891f3fcb92781b27519972afefc2bc668a0bead3cfe1d9f51c6cef5d19eab","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d7e891f3fcb92781b27519972afefc2bc668a0bead3cfe1d9f51c6cef5d19eab","first_computed_at":"2026-05-18T02:10:15.461138Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:10:15.461138Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"JC5Yc9nL+1eEt0AKYHRYuOJ3yWnA0KVkuDK5y+Nvu2H4owi3NGMtlm/66juPo/5qEK4WsduOJTQglj+UQVmODg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:10:15.461742Z","signed_message":"canonical_sha256_bytes"},"source_id":"0912.3788","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cc7aa5e26698d306f2d8e31a1a43c951abc7e624c52dfa0e1f56119724998646","sha256:8d0adf0b310aab879e5a5a8aa093ec49c3da704f22699557ccc865c4179aee5e"],"state_sha256":"7a055d4693a59b52ccae32a1018d9dd412b008c4df4971aba683eed7ca71b0f5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2GD3AWVww+15PoHWC+/2EJK5S1oiB9HW7eZ6KLewfZdfAVpzI19t9iubfd6yvBR7NF8iDjKw7jKe7+z4kwxgCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T20:47:08.688536Z","bundle_sha256":"99295b5bb536d1f49bd2f96397d2bc96b0c8f6c00d87c9aba997b7bb456e69be"}}