{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:27BITUVDKQ4VDAZASWTYT627RL","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":"9e60e32975695409bde5e957854222d023d16ae77c2cc0b92074d27a8e5da402","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2018-11-05T02:10:54Z","title_canon_sha256":"f679c9ddc48598bd968ff2dc848993a022a115b0553be4f35621d9d07404de32"},"schema_version":"1.0","source":{"id":"1811.01482","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1811.01482","created_at":"2026-05-17T23:43:50Z"},{"alias_kind":"arxiv_version","alias_value":"1811.01482v2","created_at":"2026-05-17T23:43:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1811.01482","created_at":"2026-05-17T23:43:50Z"},{"alias_kind":"pith_short_12","alias_value":"27BITUVDKQ4V","created_at":"2026-05-18T12:31:59Z"},{"alias_kind":"pith_short_16","alias_value":"27BITUVDKQ4VDAZA","created_at":"2026-05-18T12:31:59Z"},{"alias_kind":"pith_short_8","alias_value":"27BITUVD","created_at":"2026-05-18T12:31:59Z"}],"graph_snapshots":[{"event_id":"sha256:f0152195258ecbb93a789b5880df285486809f72a246f08a2462c011a0127682","target":"graph","created_at":"2026-05-17T23:43:50Z","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 prove an invariance property of intersections of Kudla-Rapoport divisors on a unitary Rapoport-Zink space.","authors_text":"Benjamin Howard","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2018-11-05T02:10:54Z","title":"Linear invariance of intersections on unitary Rapoport-Zink spaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1811.01482","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:ea420b57caedbe67bb252f5fa3dcd9f3f7e82e46bdd2532d70d3ecab201faf22","target":"record","created_at":"2026-05-17T23:43:50Z","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":"9e60e32975695409bde5e957854222d023d16ae77c2cc0b92074d27a8e5da402","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2018-11-05T02:10:54Z","title_canon_sha256":"f679c9ddc48598bd968ff2dc848993a022a115b0553be4f35621d9d07404de32"},"schema_version":"1.0","source":{"id":"1811.01482","kind":"arxiv","version":2}},"canonical_sha256":"d7c289d2a3543951832095a789fb5f8aeb3ab4a39217333208be6e3045c85d8a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d7c289d2a3543951832095a789fb5f8aeb3ab4a39217333208be6e3045c85d8a","first_computed_at":"2026-05-17T23:43:50.542934Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:43:50.542934Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"fKESQ50pvQZTa3LcmOAF0cdqMHEqMY4/iPnzfrrtQtKLBIpt4w7xh/4vV2ziZn8jzye95KNMyRhdcklaV8oXAw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:43:50.543637Z","signed_message":"canonical_sha256_bytes"},"source_id":"1811.01482","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ea420b57caedbe67bb252f5fa3dcd9f3f7e82e46bdd2532d70d3ecab201faf22","sha256:f0152195258ecbb93a789b5880df285486809f72a246f08a2462c011a0127682"],"state_sha256":"a37dfe836594b3436deaaef72e56d4a3c18ec738ff0e49262f1ef0b07ec4f869"}