{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:4XJC6ATVSZGEKTU25IIBDIH6MG","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":"e228e0b0b2a57b399d10ef69e2088de5cb422e3dcbc3901c1d04f45255184aa8","cross_cats_sorted":["hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2008-06-13T20:13:48Z","title_canon_sha256":"37e09e478da75a9dc0652f2168d7f4fac68114b11cefe9eb2b0f96b2f37af54d"},"schema_version":"1.0","source":{"id":"0806.2328","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0806.2328","created_at":"2026-07-04T15:30:15Z"},{"alias_kind":"arxiv_version","alias_value":"0806.2328v1","created_at":"2026-07-04T15:30:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0806.2328","created_at":"2026-07-04T15:30:15Z"},{"alias_kind":"pith_short_12","alias_value":"4XJC6ATVSZGE","created_at":"2026-07-04T15:30:15Z"},{"alias_kind":"pith_short_16","alias_value":"4XJC6ATVSZGEKTU2","created_at":"2026-07-04T15:30:15Z"},{"alias_kind":"pith_short_8","alias_value":"4XJC6ATV","created_at":"2026-07-04T15:30:15Z"}],"graph_snapshots":[{"event_id":"sha256:82fb80349418e30b6ae6ebfa8c6fcfcf2a0376094c629b9bdee451e20c4a5228","target":"graph","created_at":"2026-07-04T15:30:15Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/0806.2328/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We revisit the problem of constructing type IIA orientifolds on T^6/(Z2 x Z2) which admit (non)-factorisable lattices. More concretely, we consider a (Z2 x Z2') orientifold with torsion, where D6-branes wrap rigid 3-cycles. We derive the model building rules and consistency conditions in the case where the compactification lattice is non-factorisable. We show that in this class of configurations, (semi) realistic models with an odd number of families can be easily constructed, in contrast to compactifications where the D6-branes wrap non-rigid cycles. We also show that an odd number of familie","authors_text":"Ivonne Zavala, Stefan Forste","cross_cats":["hep-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2008-06-13T20:13:48Z","title":"Oddness from Rigidness"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0806.2328","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":"sha256:97af682da476638ec33f1a0ac8be801111b35c9aaf7d40a4fc4c6d1b2e5e88cc","target":"record","created_at":"2026-07-04T15:30:15Z","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":"e228e0b0b2a57b399d10ef69e2088de5cb422e3dcbc3901c1d04f45255184aa8","cross_cats_sorted":["hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2008-06-13T20:13:48Z","title_canon_sha256":"37e09e478da75a9dc0652f2168d7f4fac68114b11cefe9eb2b0f96b2f37af54d"},"schema_version":"1.0","source":{"id":"0806.2328","kind":"arxiv","version":1}},"canonical_sha256":"e5d22f0275964c454e9aea1011a0fe61be899521daa108de9bc704286bc48529","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e5d22f0275964c454e9aea1011a0fe61be899521daa108de9bc704286bc48529","first_computed_at":"2026-07-04T15:30:15.989349Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:30:15.989349Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"O2gctJ4Q5m7ssqxR9u1yNkQDZiJfbq6B9r5Iow8jUydYbyhKqANqCpC8M2hyX3VplKQHdAeVS2WP9amrnAGTAg==","signature_status":"signed_v1","signed_at":"2026-07-04T15:30:15.989708Z","signed_message":"canonical_sha256_bytes"},"source_id":"0806.2328","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:97af682da476638ec33f1a0ac8be801111b35c9aaf7d40a4fc4c6d1b2e5e88cc","sha256:82fb80349418e30b6ae6ebfa8c6fcfcf2a0376094c629b9bdee451e20c4a5228"],"state_sha256":"1952571c42fb86cbe66761f3a6a2d7abd4fae2b5392cbf22f90a6310526dfac4"}