{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2003:RE6EGTLT4KUJFSZAXSHJUNP5CK","short_pith_number":"pith:RE6EGTLT","canonical_record":{"source":{"id":"hep-th/0301232","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2003-01-28T22:54:04Z","cross_cats_sorted":[],"title_canon_sha256":"55e6cb143382b1941a4e2eb2c1028848e28d35c822a274673b5cf3680af78095","abstract_canon_sha256":"1e43e7db7d0e1a32916ab424bfcd6dfcaeb8a1342323c5d0c2d77420820c1774"},"schema_version":"1.0"},"canonical_sha256":"893c434d73e2a892cb20bc8e9a35fd12bff281aa1e791dca029539a935a6fdd9","source":{"kind":"arxiv","id":"hep-th/0301232","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0301232","created_at":"2026-07-04T17:24:42Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0301232v2","created_at":"2026-07-04T17:24:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0301232","created_at":"2026-07-04T17:24:42Z"},{"alias_kind":"pith_short_12","alias_value":"RE6EGTLT4KUJ","created_at":"2026-07-04T17:24:42Z"},{"alias_kind":"pith_short_16","alias_value":"RE6EGTLT4KUJFSZA","created_at":"2026-07-04T17:24:42Z"},{"alias_kind":"pith_short_8","alias_value":"RE6EGTLT","created_at":"2026-07-04T17:24:42Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2003:RE6EGTLT4KUJFSZAXSHJUNP5CK","target":"record","payload":{"canonical_record":{"source":{"id":"hep-th/0301232","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2003-01-28T22:54:04Z","cross_cats_sorted":[],"title_canon_sha256":"55e6cb143382b1941a4e2eb2c1028848e28d35c822a274673b5cf3680af78095","abstract_canon_sha256":"1e43e7db7d0e1a32916ab424bfcd6dfcaeb8a1342323c5d0c2d77420820c1774"},"schema_version":"1.0"},"canonical_sha256":"893c434d73e2a892cb20bc8e9a35fd12bff281aa1e791dca029539a935a6fdd9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T17:24:42.046163Z","signature_b64":"ulOAYv4vGx5/j/QZm4V40H3oSePOSO174sYGX0vG4weffQ3DjHe7icq769HQ4kpzRI20eKK1m0a75oaQuD6GAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"893c434d73e2a892cb20bc8e9a35fd12bff281aa1e791dca029539a935a6fdd9","last_reissued_at":"2026-07-04T17:24:42.045832Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T17:24:42.045832Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-th/0301232","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T17:24:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lBMEuBPJqur0oK1STGHH+POURi3cHo6QCvz4mpfI62h1Y8VqdHavhmmlFc9hmy5Gsg7Bl4fZlhi8E0H9NJ0vDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-07T19:16:40.891363Z"},"content_sha256":"c52a79ccb74a038603403d09b194f3109ea0a6cda48d1ebbcec409213e39d993","schema_version":"1.0","event_id":"sha256:c52a79ccb74a038603403d09b194f3109ea0a6cda48d1ebbcec409213e39d993"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2003:RE6EGTLT4KUJFSZAXSHJUNP5CK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Z_3 orbifolds of the SO(32) heterotic string: 1 Wilson line embeddings","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Joel Giedt","submitted_at":"2003-01-28T22:54:04Z","abstract_excerpt":"We consider compactification of the SO(32) heterotic string on a 6-dimensional Z_3 orbifold with one discrete Wilson line. A complete set of all possible embeddings is given, 159 in all. The unbroken subgroups of SO(32) are tabulated. The extended gauge symmetry SU(3)^3, recently discussed by J. E. Kim [hep-th/0301177] for semi-realistic E_8 x E_8 heterotic string models, occurs for several embeddings, as well as other groups that may be of interest in unified string models. The extent to which extra gauge group factors can be hidden is discussed and compared to the E_8 x E_8 case. Along flat "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0301232","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/hep-th/0301232/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T17:24:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oYlI+a/8PP6HYAjxDjvCgJbKSmO4Vcx7OzHyFMoED1zLmIdWilROyyui/IBpOTNcjyJehNPtKOeCAyPZnH7jCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-07T19:16:40.891864Z"},"content_sha256":"70b5603e06679f3080f976ad26ed230a012c8996e2ec21dfbb436f6ae9d3c35d","schema_version":"1.0","event_id":"sha256:70b5603e06679f3080f976ad26ed230a012c8996e2ec21dfbb436f6ae9d3c35d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RE6EGTLT4KUJFSZAXSHJUNP5CK/bundle.json","state_url":"https://pith.science/pith/RE6EGTLT4KUJFSZAXSHJUNP5CK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RE6EGTLT4KUJFSZAXSHJUNP5CK/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-08-07T19:16:40Z","links":{"resolver":"https://pith.science/pith/RE6EGTLT4KUJFSZAXSHJUNP5CK","bundle":"https://pith.science/pith/RE6EGTLT4KUJFSZAXSHJUNP5CK/bundle.json","state":"https://pith.science/pith/RE6EGTLT4KUJFSZAXSHJUNP5CK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RE6EGTLT4KUJFSZAXSHJUNP5CK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2003:RE6EGTLT4KUJFSZAXSHJUNP5CK","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":"1e43e7db7d0e1a32916ab424bfcd6dfcaeb8a1342323c5d0c2d77420820c1774","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2003-01-28T22:54:04Z","title_canon_sha256":"55e6cb143382b1941a4e2eb2c1028848e28d35c822a274673b5cf3680af78095"},"schema_version":"1.0","source":{"id":"hep-th/0301232","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0301232","created_at":"2026-07-04T17:24:42Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0301232v2","created_at":"2026-07-04T17:24:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0301232","created_at":"2026-07-04T17:24:42Z"},{"alias_kind":"pith_short_12","alias_value":"RE6EGTLT4KUJ","created_at":"2026-07-04T17:24:42Z"},{"alias_kind":"pith_short_16","alias_value":"RE6EGTLT4KUJFSZA","created_at":"2026-07-04T17:24:42Z"},{"alias_kind":"pith_short_8","alias_value":"RE6EGTLT","created_at":"2026-07-04T17:24:42Z"}],"graph_snapshots":[{"event_id":"sha256:70b5603e06679f3080f976ad26ed230a012c8996e2ec21dfbb436f6ae9d3c35d","target":"graph","created_at":"2026-07-04T17:24:42Z","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/hep-th/0301232/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We consider compactification of the SO(32) heterotic string on a 6-dimensional Z_3 orbifold with one discrete Wilson line. A complete set of all possible embeddings is given, 159 in all. The unbroken subgroups of SO(32) are tabulated. The extended gauge symmetry SU(3)^3, recently discussed by J. E. Kim [hep-th/0301177] for semi-realistic E_8 x E_8 heterotic string models, occurs for several embeddings, as well as other groups that may be of interest in unified string models. The extent to which extra gauge group factors can be hidden is discussed and compared to the E_8 x E_8 case. Along flat ","authors_text":"Joel Giedt","cross_cats":[],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2003-01-28T22:54:04Z","title":"Z_3 orbifolds of the SO(32) heterotic string: 1 Wilson line embeddings"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0301232","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:c52a79ccb74a038603403d09b194f3109ea0a6cda48d1ebbcec409213e39d993","target":"record","created_at":"2026-07-04T17:24:42Z","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":"1e43e7db7d0e1a32916ab424bfcd6dfcaeb8a1342323c5d0c2d77420820c1774","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2003-01-28T22:54:04Z","title_canon_sha256":"55e6cb143382b1941a4e2eb2c1028848e28d35c822a274673b5cf3680af78095"},"schema_version":"1.0","source":{"id":"hep-th/0301232","kind":"arxiv","version":2}},"canonical_sha256":"893c434d73e2a892cb20bc8e9a35fd12bff281aa1e791dca029539a935a6fdd9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"893c434d73e2a892cb20bc8e9a35fd12bff281aa1e791dca029539a935a6fdd9","first_computed_at":"2026-07-04T17:24:42.045832Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T17:24:42.045832Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ulOAYv4vGx5/j/QZm4V40H3oSePOSO174sYGX0vG4weffQ3DjHe7icq769HQ4kpzRI20eKK1m0a75oaQuD6GAA==","signature_status":"signed_v1","signed_at":"2026-07-04T17:24:42.046163Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/0301232","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c52a79ccb74a038603403d09b194f3109ea0a6cda48d1ebbcec409213e39d993","sha256:70b5603e06679f3080f976ad26ed230a012c8996e2ec21dfbb436f6ae9d3c35d"],"state_sha256":"0c0178c1516f57da97a0350ccb9dccfd7e0b0f21774ff39108e2fbe6cc184df4"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0DfRWtXaV1XE4uaEBtyk/0CtCIZ+psjmURAeSYPDEmuTG20RBi5jJcBMdIYATFsuLhVrhkuacpfYYpBvMr/DCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-07T19:16:40.896567Z","bundle_sha256":"5054f3df623f1d435f6a28fdb9a4f043920bcf0c2060538ea6c8c5645154f502"}}