{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:YMZPIA4LTAOSAWOSB4IF7ERMND","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":"6ef26cd9f9801edbe6388c023c3a0aad008abeb2a80ec5d3c53b4d514bcdcfe8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2014-09-18T19:00:12Z","title_canon_sha256":"eb14f51d41b46b6bbe5ab84ce25d2b550b0a4442aae9e572b0061839224cb5e6"},"schema_version":"1.0","source":{"id":"1409.5411","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1409.5411","created_at":"2026-05-18T00:53:03Z"},{"alias_kind":"arxiv_version","alias_value":"1409.5411v3","created_at":"2026-05-18T00:53:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.5411","created_at":"2026-05-18T00:53:03Z"},{"alias_kind":"pith_short_12","alias_value":"YMZPIA4LTAOS","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_16","alias_value":"YMZPIA4LTAOSAWOS","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_8","alias_value":"YMZPIA4L","created_at":"2026-05-18T12:28:57Z"}],"graph_snapshots":[{"event_id":"sha256:a32966e5d8132b86e7158246cf816c77fc8ea10f95191887436d8a6c0f49fff3","target":"graph","created_at":"2026-05-18T00:53:03Z","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":"We construct minimal Eisenstein integrals for a reductive symmetric space G/H as matrix coefficients of the minimal principal series of G. The Eisenstein integrals thus obtained include those from the \\sigma-minimal principal series. In addition, we obtain related Eisenstein integrals, but with different normalizations. Specialized to the case of the group, this wider class includes Harish-Chandra's minimal Eisenstein integrals.","authors_text":"Erik P. van den Ban, Job J. Kuit","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2014-09-18T19:00:12Z","title":"Normalizations of Eisenstein integrals for reductive symmetric spaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.5411","kind":"arxiv","version":3},"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":"sha256:95bd8c769ab772c8db7b2bf064354d061a955a37227ab7a463de61bb82173251","target":"record","created_at":"2026-05-18T00:53:03Z","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":"6ef26cd9f9801edbe6388c023c3a0aad008abeb2a80ec5d3c53b4d514bcdcfe8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2014-09-18T19:00:12Z","title_canon_sha256":"eb14f51d41b46b6bbe5ab84ce25d2b550b0a4442aae9e572b0061839224cb5e6"},"schema_version":"1.0","source":{"id":"1409.5411","kind":"arxiv","version":3}},"canonical_sha256":"c332f4038b981d2059d20f105f922c68e3d522b79abe8cc6944224fce013e6dd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c332f4038b981d2059d20f105f922c68e3d522b79abe8cc6944224fce013e6dd","first_computed_at":"2026-05-18T00:53:03.026801Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:53:03.026801Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"rukcY72cyZwKiwcnvtMoAZEwYmK8CADIOWRiqC2EVB3XhJQg8lhAKtnJK7tUB5Z0mliPMmANKOMfzqvDdSHPBg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:53:03.027350Z","signed_message":"canonical_sha256_bytes"},"source_id":"1409.5411","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:95bd8c769ab772c8db7b2bf064354d061a955a37227ab7a463de61bb82173251","sha256:a32966e5d8132b86e7158246cf816c77fc8ea10f95191887436d8a6c0f49fff3"],"state_sha256":"334d381984dd89469ed60443ce6b80465fd670a35047692d1fc83e5fb0bf612a"}