{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:J7LUO22VIKEH2QLFOZIWW5VRWM","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":"4251ebe55c0c7fbd7ee4020458768c3eab20840f2aa5797e7a24cc11c864e948","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2016-10-20T13:07:51Z","title_canon_sha256":"5503619bc7e80c2c6615980685018c4b0235b53c9b33ddf99bf3494c04b586e2"},"schema_version":"1.0","source":{"id":"1610.06390","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1610.06390","created_at":"2026-05-18T00:25:02Z"},{"alias_kind":"arxiv_version","alias_value":"1610.06390v2","created_at":"2026-05-18T00:25:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.06390","created_at":"2026-05-18T00:25:02Z"},{"alias_kind":"pith_short_12","alias_value":"J7LUO22VIKEH","created_at":"2026-05-18T12:30:22Z"},{"alias_kind":"pith_short_16","alias_value":"J7LUO22VIKEH2QLF","created_at":"2026-05-18T12:30:22Z"},{"alias_kind":"pith_short_8","alias_value":"J7LUO22V","created_at":"2026-05-18T12:30:22Z"}],"graph_snapshots":[{"event_id":"sha256:efddc3707dcb99f9573be7b53877f409ead276af500cd9d6298a28a2b37cfebb","target":"graph","created_at":"2026-05-18T00:25:02Z","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 introduce different bases for the vector space of $\\mathrm{Sp}(2)\\mathrm{Sp}(1)$-invariant, translation invariant continuous valuations on the quaternionic plane and determine a complete set of kinematic formulas.","authors_text":"Andreas Bernig, Gil Solanes","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2016-10-20T13:07:51Z","title":"Kinematic formulas on the quaternionic plane"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.06390","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":"sha256:9760fb69b218384c267fc485cb0d6a6661a64f2d7691eaad45aefa6d527d747f","target":"record","created_at":"2026-05-18T00:25:02Z","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":"4251ebe55c0c7fbd7ee4020458768c3eab20840f2aa5797e7a24cc11c864e948","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2016-10-20T13:07:51Z","title_canon_sha256":"5503619bc7e80c2c6615980685018c4b0235b53c9b33ddf99bf3494c04b586e2"},"schema_version":"1.0","source":{"id":"1610.06390","kind":"arxiv","version":2}},"canonical_sha256":"4fd7476b5542887d416576516b76b1b31ec4b01ed51b97668bb1de4c69b7de2b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4fd7476b5542887d416576516b76b1b31ec4b01ed51b97668bb1de4c69b7de2b","first_computed_at":"2026-05-18T00:25:02.161856Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:25:02.161856Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"PuKIapI2mNd1VNDyTGc9AfwoHoZz+dBnvMK9/9/26V7ITRKFKLY8yU9A6xW+yRCibuhI2xDSZKZt4iYFKGgbCg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:25:02.162416Z","signed_message":"canonical_sha256_bytes"},"source_id":"1610.06390","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9760fb69b218384c267fc485cb0d6a6661a64f2d7691eaad45aefa6d527d747f","sha256:efddc3707dcb99f9573be7b53877f409ead276af500cd9d6298a28a2b37cfebb"],"state_sha256":"d1124c02e8a7038a2e31c0c78557fc6e945def8b19a6df86915806370264ae5e"}