{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:MD42YBWF2GIVHSLQB6W25GTQYA","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":"af8c49c5a09903072f60b239fe3ec770b160b526d9fbe3622c5c6a7c0ffc0e17","cross_cats_sorted":["hep-th","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2016-11-29T12:30:31Z","title_canon_sha256":"b831285c86a4d39b1403d0a5cb445148f069869a7395d052e6746a6438ce979e"},"schema_version":"1.0","source":{"id":"1611.09593","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1611.09593","created_at":"2026-05-18T00:39:01Z"},{"alias_kind":"arxiv_version","alias_value":"1611.09593v2","created_at":"2026-05-18T00:39:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.09593","created_at":"2026-05-18T00:39:01Z"},{"alias_kind":"pith_short_12","alias_value":"MD42YBWF2GIV","created_at":"2026-05-18T12:30:32Z"},{"alias_kind":"pith_short_16","alias_value":"MD42YBWF2GIVHSLQ","created_at":"2026-05-18T12:30:32Z"},{"alias_kind":"pith_short_8","alias_value":"MD42YBWF","created_at":"2026-05-18T12:30:32Z"}],"graph_snapshots":[{"event_id":"sha256:49f8b9e77a71167ecca09ac060919082676ce1e2edd7bcc6304fb33a7db653c9","target":"graph","created_at":"2026-05-18T00:39:01Z","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":"Gustafson's integrals are multidimensional generalizations of the classical Mellin-Barnes integrals. We show that some of these integrals arise from relations between matrix elements in Sklyanin's representation of Separated Variables in spin chain models. We also present several new integrals.","authors_text":"A.N. Manashov, S.E. Derkachov","cross_cats":["hep-th","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2016-11-29T12:30:31Z","title":"Spin Chains and Gustafson's Integrals"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.09593","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:f4c31347074db8779d7eee2a8e949d0c9b009a8b2a904752606c26322d8802eb","target":"record","created_at":"2026-05-18T00:39:01Z","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":"af8c49c5a09903072f60b239fe3ec770b160b526d9fbe3622c5c6a7c0ffc0e17","cross_cats_sorted":["hep-th","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2016-11-29T12:30:31Z","title_canon_sha256":"b831285c86a4d39b1403d0a5cb445148f069869a7395d052e6746a6438ce979e"},"schema_version":"1.0","source":{"id":"1611.09593","kind":"arxiv","version":2}},"canonical_sha256":"60f9ac06c5d19153c9700fadae9a70c007437499bbe79bd04637d73da66dd51a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"60f9ac06c5d19153c9700fadae9a70c007437499bbe79bd04637d73da66dd51a","first_computed_at":"2026-05-18T00:39:01.009375Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:39:01.009375Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vdEOvvMCVegYwwoCl4Z2Qks78cunYJriQdIlYZAxKccbNFHGOJi/7xWmr77A6MGrYN6uE1aHwA19K0CfxonYCA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:39:01.009881Z","signed_message":"canonical_sha256_bytes"},"source_id":"1611.09593","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f4c31347074db8779d7eee2a8e949d0c9b009a8b2a904752606c26322d8802eb","sha256:49f8b9e77a71167ecca09ac060919082676ce1e2edd7bcc6304fb33a7db653c9"],"state_sha256":"e94d55247f48d3802d784a14172905673866676d7f6cb4c6f12820a2fac3fdfc"}