{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:KF72XIURZM6YTRA74ITKZT5CTL","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":"54250349a74f714bac864b2c7cd91100ee8e40c24b40bc3594fff75f99fca829","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2017-07-13T16:41:39Z","title_canon_sha256":"ea176b84d9f944097f2df61ebd5d66a5f7b98d7e717746945b3ef3f0303a2f9e"},"schema_version":"1.0","source":{"id":"1707.04215","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1707.04215","created_at":"2026-05-18T00:40:20Z"},{"alias_kind":"arxiv_version","alias_value":"1707.04215v1","created_at":"2026-05-18T00:40:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1707.04215","created_at":"2026-05-18T00:40:20Z"},{"alias_kind":"pith_short_12","alias_value":"KF72XIURZM6Y","created_at":"2026-05-18T12:31:24Z"},{"alias_kind":"pith_short_16","alias_value":"KF72XIURZM6YTRA7","created_at":"2026-05-18T12:31:24Z"},{"alias_kind":"pith_short_8","alias_value":"KF72XIUR","created_at":"2026-05-18T12:31:24Z"}],"graph_snapshots":[{"event_id":"sha256:c5f9e8d9f54db40b42c10a157f115c79555d6275f0e4a71efd74eccb24399439","target":"graph","created_at":"2026-05-18T00:40:20Z","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 show that every topological grading of a C*-algebra by a discrete abelian group is implemented by an action of the compact dual group.","authors_text":"Iain Raeburn","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2017-07-13T16:41:39Z","title":"On graded C*-algebras"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.04215","kind":"arxiv","version":1},"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":"sha256:3382b40029cb4a34fdf9af1764040f85474763db56efac6bd528a2959fe2ed66","target":"record","created_at":"2026-05-18T00:40:20Z","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":"54250349a74f714bac864b2c7cd91100ee8e40c24b40bc3594fff75f99fca829","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2017-07-13T16:41:39Z","title_canon_sha256":"ea176b84d9f944097f2df61ebd5d66a5f7b98d7e717746945b3ef3f0303a2f9e"},"schema_version":"1.0","source":{"id":"1707.04215","kind":"arxiv","version":1}},"canonical_sha256":"517faba291cb3d89c41fe226accfa29ae33a1dfafa1964fc612131048714db38","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"517faba291cb3d89c41fe226accfa29ae33a1dfafa1964fc612131048714db38","first_computed_at":"2026-05-18T00:40:20.212169Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:40:20.212169Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"PVyWdXffIkcIiT/dJk+WfptpbHNPi1JV/qNx4xzewAa4mItZgqRybRTgieBekb0d+QQ0u9pwLGDx866sxjvAAA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:40:20.212791Z","signed_message":"canonical_sha256_bytes"},"source_id":"1707.04215","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3382b40029cb4a34fdf9af1764040f85474763db56efac6bd528a2959fe2ed66","sha256:c5f9e8d9f54db40b42c10a157f115c79555d6275f0e4a71efd74eccb24399439"],"state_sha256":"a6baf16521135a03b94a595c1b25c67db2edc26d4f832ea21ba06fdabef111c5"}