{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:IM3NPZBXWBDCBUMZRZW65GDOZX","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":"a175b016caddfc77f9c5a2ded5699122e6ca9963f86d016dd352f3727e2754db","cross_cats_sorted":["hep-th","math.MP"],"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"math-ph","submitted_at":"2017-11-21T14:59:13Z","title_canon_sha256":"53da276829f4a6f6fb88246642fe27b8fb0d7e194f90f84d15fce4529693f164"},"schema_version":"1.0","source":{"id":"1711.07822","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1711.07822","created_at":"2026-05-18T00:19:41Z"},{"alias_kind":"arxiv_version","alias_value":"1711.07822v2","created_at":"2026-05-18T00:19:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1711.07822","created_at":"2026-05-18T00:19:41Z"},{"alias_kind":"pith_short_12","alias_value":"IM3NPZBXWBDC","created_at":"2026-05-18T12:31:21Z"},{"alias_kind":"pith_short_16","alias_value":"IM3NPZBXWBDCBUMZ","created_at":"2026-05-18T12:31:21Z"},{"alias_kind":"pith_short_8","alias_value":"IM3NPZBX","created_at":"2026-05-18T12:31:21Z"}],"graph_snapshots":[{"event_id":"sha256:54c2d85234702af0cc3a814d766361344ed36f8954462f7d5bbf67d7bba4c77e","target":"graph","created_at":"2026-05-18T00:19:41Z","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":"It was shown recently that many of the Gustafson integrals appear in studies of the ${\\rm SL}(2,\\mathbb{R})$ spin chain models. One can hope to obtain a generalization of the Gustafson integrals considering spin chain models with a different symmetry group. In this paper we analyse the spin magnet with the ${\\rm SL}(2,\\mathbb{C})$ symmetry group in case of open and periodic boundary conditions and derive several new integrals.","authors_text":"Alexander N. Manashov, Pavel A. Valinevich, Sergey E. Derkachov","cross_cats":["hep-th","math.MP"],"headline":"","license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"math-ph","submitted_at":"2017-11-21T14:59:13Z","title":"${\\rm SL}(2,\\mathbb{C})$ Gustafson Integrals"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.07822","kind":"arxiv","version":2},"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":"sha256:3a77bc0b6f11ed067ae19d5f938172826905996d0919dbc7fb3ccff542b914b2","target":"record","created_at":"2026-05-18T00:19:41Z","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":"a175b016caddfc77f9c5a2ded5699122e6ca9963f86d016dd352f3727e2754db","cross_cats_sorted":["hep-th","math.MP"],"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"math-ph","submitted_at":"2017-11-21T14:59:13Z","title_canon_sha256":"53da276829f4a6f6fb88246642fe27b8fb0d7e194f90f84d15fce4529693f164"},"schema_version":"1.0","source":{"id":"1711.07822","kind":"arxiv","version":2}},"canonical_sha256":"4336d7e437b04620d1998e6dee986ecdd6f4f43683d01b050d1dc5a0d182b6c3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4336d7e437b04620d1998e6dee986ecdd6f4f43683d01b050d1dc5a0d182b6c3","first_computed_at":"2026-05-18T00:19:41.523382Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:19:41.523382Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+9nu87a7pl3xgQuulbnKgzFDxYln7pU4uKIap1rC8oroYSgVoj6kmeeUsTgESFdduDuBIMuRbDfqjiDr/3PRCg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:19:41.524086Z","signed_message":"canonical_sha256_bytes"},"source_id":"1711.07822","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3a77bc0b6f11ed067ae19d5f938172826905996d0919dbc7fb3ccff542b914b2","sha256:54c2d85234702af0cc3a814d766361344ed36f8954462f7d5bbf67d7bba4c77e"],"state_sha256":"396f29726b5e8a8673f5f35e6b4eb3addb2fae5a980c59e7e34398e12ea290a5"}