{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:VGIS5HSTKIWWBHIPWDIEB6GIAM","short_pith_number":"pith:VGIS5HST","schema_version":"1.0","canonical_sha256":"a9912e9e53522d609d0fb0d040f8c80305ee142971ffb0771f7a952936445dda","source":{"kind":"arxiv","id":"1612.00727","version":1},"attestation_state":"computed","paper":{"title":"Gustafson integrals for $SL(2,\\mathbb{C})$ spin magnet","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math.MP"],"primary_cat":"math-ph","authors_text":"A.N. Manashov, P.A. Valinevich, S.E. Derkachov","submitted_at":"2016-12-02T16:18:26Z","abstract_excerpt":"It was observed recently that the multidimensional Mellin--Barnes integrals (Gustafson's integrals) arise naturally in studies of the $SL(2,R)$ spin chain models. We extend this analysis to the noncompact $SL(2,\\mathbb{C})$ spin magnets and obtain integrals which generalize Gustafson's integrals to the complex case."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1612.00727","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2016-12-02T16:18:26Z","cross_cats_sorted":["hep-th","math.MP"],"title_canon_sha256":"09a50364edebfdc144d08bde25b2957fedfad5a5020e2e62f6a58b7ab374ec7f","abstract_canon_sha256":"52c9f53efa5960c28f67ac8a768adda4522be09a773eb456b9167b07a908b339"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:39:00.967770Z","signature_b64":"9BEON5TGDIQYPNHCwlLIqUfHzIP/cfsKEMgbsPwjehu8llnlibkNTqKRVXkcCUNKoh4rr/F0JEQlBdmQOsZrCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a9912e9e53522d609d0fb0d040f8c80305ee142971ffb0771f7a952936445dda","last_reissued_at":"2026-05-18T00:39:00.967211Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:39:00.967211Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Gustafson integrals for $SL(2,\\mathbb{C})$ spin magnet","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math.MP"],"primary_cat":"math-ph","authors_text":"A.N. Manashov, P.A. Valinevich, S.E. Derkachov","submitted_at":"2016-12-02T16:18:26Z","abstract_excerpt":"It was observed recently that the multidimensional Mellin--Barnes integrals (Gustafson's integrals) arise naturally in studies of the $SL(2,R)$ spin chain models. We extend this analysis to the noncompact $SL(2,\\mathbb{C})$ spin magnets and obtain integrals which generalize Gustafson's integrals to the complex case."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1612.00727","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1612.00727","created_at":"2026-05-18T00:39:00.967302+00:00"},{"alias_kind":"arxiv_version","alias_value":"1612.00727v1","created_at":"2026-05-18T00:39:00.967302+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1612.00727","created_at":"2026-05-18T00:39:00.967302+00:00"},{"alias_kind":"pith_short_12","alias_value":"VGIS5HSTKIWW","created_at":"2026-05-18T12:30:48.956258+00:00"},{"alias_kind":"pith_short_16","alias_value":"VGIS5HSTKIWWBHIP","created_at":"2026-05-18T12:30:48.956258+00:00"},{"alias_kind":"pith_short_8","alias_value":"VGIS5HST","created_at":"2026-05-18T12:30:48.956258+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/VGIS5HSTKIWWBHIPWDIEB6GIAM","json":"https://pith.science/pith/VGIS5HSTKIWWBHIPWDIEB6GIAM.json","graph_json":"https://pith.science/api/pith-number/VGIS5HSTKIWWBHIPWDIEB6GIAM/graph.json","events_json":"https://pith.science/api/pith-number/VGIS5HSTKIWWBHIPWDIEB6GIAM/events.json","paper":"https://pith.science/paper/VGIS5HST"},"agent_actions":{"view_html":"https://pith.science/pith/VGIS5HSTKIWWBHIPWDIEB6GIAM","download_json":"https://pith.science/pith/VGIS5HSTKIWWBHIPWDIEB6GIAM.json","view_paper":"https://pith.science/paper/VGIS5HST","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1612.00727&json=true","fetch_graph":"https://pith.science/api/pith-number/VGIS5HSTKIWWBHIPWDIEB6GIAM/graph.json","fetch_events":"https://pith.science/api/pith-number/VGIS5HSTKIWWBHIPWDIEB6GIAM/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/VGIS5HSTKIWWBHIPWDIEB6GIAM/action/timestamp_anchor","attest_storage":"https://pith.science/pith/VGIS5HSTKIWWBHIPWDIEB6GIAM/action/storage_attestation","attest_author":"https://pith.science/pith/VGIS5HSTKIWWBHIPWDIEB6GIAM/action/author_attestation","sign_citation":"https://pith.science/pith/VGIS5HSTKIWWBHIPWDIEB6GIAM/action/citation_signature","submit_replication":"https://pith.science/pith/VGIS5HSTKIWWBHIPWDIEB6GIAM/action/replication_record"}},"created_at":"2026-05-18T00:39:00.967302+00:00","updated_at":"2026-05-18T00:39:00.967302+00:00"}