{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:EK6OQB2GKPC3QIEETD6WPP4T6I","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":"61725de560aadc1e850bea17c3e28af5413b422db375a642899b7c6079b49512","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-04-04T02:41:13Z","title_canon_sha256":"50eb63373fa0860f77719a95c8036272b760ae441b7ecd607a60b4f5a1748fb8"},"schema_version":"1.0","source":{"id":"1604.00726","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.00726","created_at":"2026-05-18T00:22:16Z"},{"alias_kind":"arxiv_version","alias_value":"1604.00726v4","created_at":"2026-05-18T00:22:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.00726","created_at":"2026-05-18T00:22:16Z"},{"alias_kind":"pith_short_12","alias_value":"EK6OQB2GKPC3","created_at":"2026-05-18T12:30:12Z"},{"alias_kind":"pith_short_16","alias_value":"EK6OQB2GKPC3QIEE","created_at":"2026-05-18T12:30:12Z"},{"alias_kind":"pith_short_8","alias_value":"EK6OQB2G","created_at":"2026-05-18T12:30:12Z"}],"graph_snapshots":[{"event_id":"sha256:cdad8439b4e8a7bb2f9862bce0722c5f939eaa9fb725b12fe1ec82c36c1b33aa","target":"graph","created_at":"2026-05-18T00:22:16Z","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 study combinatorial problems related to the singularities and boundary components of toroidal compactifications of orthogonal modular varieties. In particular, those associated with the moduli of algebraic deformation generalised Kummer 4-folds.","authors_text":"Matthew Dawes","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-04-04T02:41:13Z","title":"Boundary combinatorics of orthogonal modular 4-folds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.00726","kind":"arxiv","version":4},"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:ea683a76efe8f6c2d59b1373da277e52ebad53724e579c19a75d79693161089e","target":"record","created_at":"2026-05-18T00:22:16Z","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":"61725de560aadc1e850bea17c3e28af5413b422db375a642899b7c6079b49512","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-04-04T02:41:13Z","title_canon_sha256":"50eb63373fa0860f77719a95c8036272b760ae441b7ecd607a60b4f5a1748fb8"},"schema_version":"1.0","source":{"id":"1604.00726","kind":"arxiv","version":4}},"canonical_sha256":"22bce8074653c5b8208498fd67bf93f2038d496324cc2fd09e6be7f6d80a5b31","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"22bce8074653c5b8208498fd67bf93f2038d496324cc2fd09e6be7f6d80a5b31","first_computed_at":"2026-05-18T00:22:16.497881Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:22:16.497881Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"DmWHwLDQObf4osipvpWP3oPeMTi5BbKKStkxEMzru5PHrcMIB+JGtTn9RSYhaw1Td0v0uEdffhL5Cu/i5JWdCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:22:16.498491Z","signed_message":"canonical_sha256_bytes"},"source_id":"1604.00726","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ea683a76efe8f6c2d59b1373da277e52ebad53724e579c19a75d79693161089e","sha256:cdad8439b4e8a7bb2f9862bce0722c5f939eaa9fb725b12fe1ec82c36c1b33aa"],"state_sha256":"fba2800ce56d162924f7676dcd42f5f2b3ea6e8968eaba7fd7dd4d2b3db040fc"}