{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:EMX32YECIHFL4QOWGXMQGZQYI7","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":"13aed04ac08ddf6d39c118a37812897b4e521d8a82c8eef304c4686bf3ac3560","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2012-11-08T01:54:49Z","title_canon_sha256":"b4590ef9a0b93e4c292e2729228707bb51f27dc647e249dac2170868cf23a5eb"},"schema_version":"1.0","source":{"id":"1211.1746","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1211.1746","created_at":"2026-05-18T01:59:59Z"},{"alias_kind":"arxiv_version","alias_value":"1211.1746v2","created_at":"2026-05-18T01:59:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1211.1746","created_at":"2026-05-18T01:59:59Z"},{"alias_kind":"pith_short_12","alias_value":"EMX32YECIHFL","created_at":"2026-05-18T12:27:04Z"},{"alias_kind":"pith_short_16","alias_value":"EMX32YECIHFL4QOW","created_at":"2026-05-18T12:27:04Z"},{"alias_kind":"pith_short_8","alias_value":"EMX32YEC","created_at":"2026-05-18T12:27:04Z"}],"graph_snapshots":[{"event_id":"sha256:91839c222536c241de70b1dc0b5c3cb6ae6dd53b4270a0481ec9d38a5ce1f998","target":"graph","created_at":"2026-05-18T01:59:59Z","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":"The Riesz distribution for real normed division algebras is derived in this work. Then two versions of these distributions are proposed and some of their properties are studied.","authors_text":"Jose A. Diaz-Garcia","cross_cats":["stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2012-11-08T01:54:49Z","title":"Distributions on symmetric cones I: Riesz distribution"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1211.1746","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:dcd39c64322dd6d47490f50f0e75572a0fa563b852e06dd7eb6df265db63a075","target":"record","created_at":"2026-05-18T01:59:59Z","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":"13aed04ac08ddf6d39c118a37812897b4e521d8a82c8eef304c4686bf3ac3560","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2012-11-08T01:54:49Z","title_canon_sha256":"b4590ef9a0b93e4c292e2729228707bb51f27dc647e249dac2170868cf23a5eb"},"schema_version":"1.0","source":{"id":"1211.1746","kind":"arxiv","version":2}},"canonical_sha256":"232fbd608241cabe41d635d903661847eb698a32a93381a7c1841a6226868bc5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"232fbd608241cabe41d635d903661847eb698a32a93381a7c1841a6226868bc5","first_computed_at":"2026-05-18T01:59:59.227891Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:59:59.227891Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"zUkV+6cKawz9l21wQKVLl3I5FuY/xpm8DygC0NBpl1kpev/JrCAXWxjw5wOnjjtslwuGnrUC1N2QX2YCAbu/CQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:59:59.228461Z","signed_message":"canonical_sha256_bytes"},"source_id":"1211.1746","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:dcd39c64322dd6d47490f50f0e75572a0fa563b852e06dd7eb6df265db63a075","sha256:91839c222536c241de70b1dc0b5c3cb6ae6dd53b4270a0481ec9d38a5ce1f998"],"state_sha256":"2d16f2198aea06df9dceeed6b10798df754a848df95e7e7ebe325bd9e23ceafa"}