{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:VLEIOJT6CNFF5PNQGLM66GEJ2P","short_pith_number":"pith:VLEIOJT6","canonical_record":{"source":{"id":"1210.5040","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-10-18T07:39:21Z","cross_cats_sorted":[],"title_canon_sha256":"e4a3551f729c6e3f2cd7ae2f60c61356ede487f6e5b2be2217efe8dd6ea8bc74","abstract_canon_sha256":"863f388714064d17243bab9f26a83738ad0f8e71a08c7606214f40a7b0c89889"},"schema_version":"1.0"},"canonical_sha256":"aac887267e134a5ebdb032d9ef1889d3d1cad7bd824044f3d9971cfbcdf40dc4","source":{"kind":"arxiv","id":"1210.5040","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1210.5040","created_at":"2026-05-18T03:19:11Z"},{"alias_kind":"arxiv_version","alias_value":"1210.5040v3","created_at":"2026-05-18T03:19:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1210.5040","created_at":"2026-05-18T03:19:11Z"},{"alias_kind":"pith_short_12","alias_value":"VLEIOJT6CNFF","created_at":"2026-05-18T12:27:25Z"},{"alias_kind":"pith_short_16","alias_value":"VLEIOJT6CNFF5PNQ","created_at":"2026-05-18T12:27:25Z"},{"alias_kind":"pith_short_8","alias_value":"VLEIOJT6","created_at":"2026-05-18T12:27:25Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:VLEIOJT6CNFF5PNQGLM66GEJ2P","target":"record","payload":{"canonical_record":{"source":{"id":"1210.5040","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-10-18T07:39:21Z","cross_cats_sorted":[],"title_canon_sha256":"e4a3551f729c6e3f2cd7ae2f60c61356ede487f6e5b2be2217efe8dd6ea8bc74","abstract_canon_sha256":"863f388714064d17243bab9f26a83738ad0f8e71a08c7606214f40a7b0c89889"},"schema_version":"1.0"},"canonical_sha256":"aac887267e134a5ebdb032d9ef1889d3d1cad7bd824044f3d9971cfbcdf40dc4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:19:11.534414Z","signature_b64":"LDFshAM+5lWge5GD6Np+s9j4uZc9eqPYvOBLP7dQz+5lxrSiTEqsSrGhNkpHgF/tQ2XFBw9XO29eDLRdfzgKBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"aac887267e134a5ebdb032d9ef1889d3d1cad7bd824044f3d9971cfbcdf40dc4","last_reissued_at":"2026-05-18T03:19:11.533849Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:19:11.533849Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1210.5040","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:19:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hjGuKWq1MZ6isix+g42u/l9svWoMAbVNVkK85yIuTczKNulTkMgakx/KBF+KraS/8uuZ2EOphQ6Dp8u1pRMPDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-07T18:53:34.757194Z"},"content_sha256":"378fcbec70827653987dd913225c922a91fe335283b0e8957138ec8f4fffa785","schema_version":"1.0","event_id":"sha256:378fcbec70827653987dd913225c922a91fe335283b0e8957138ec8f4fffa785"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:VLEIOJT6CNFF5PNQGLM66GEJ2P","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Non Abelian orbifold compactifications of the heterotic string","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Sebastian J. H. Konopka","submitted_at":"2012-10-18T07:39:21Z","abstract_excerpt":"I consider the construction of heterotic orbifold models based on a toroidal orbifold with non Abelian point group. I construct an explicit model based on the point group $S_3$ and calculate the spectrum and remnant symmetries. This model provides a simple example of rank reduction of the Yang--Mills gauge group directly in the string theory rather than in the effective field theory."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1210.5040","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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":"2026-05-18T03:19:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OpkLFCqyWDUORnHI4uvsuucUuc9o5MqV93u3k0weeXivbXPy++YiGbuYkHGf04ax46XB/2svFpLycrh0U5toDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-07T18:53:34.757890Z"},"content_sha256":"70bd3f2e436fb9e6b00a4ba52c57e3c8a514f6011895aa3fa31fa5274b5af68b","schema_version":"1.0","event_id":"sha256:70bd3f2e436fb9e6b00a4ba52c57e3c8a514f6011895aa3fa31fa5274b5af68b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VLEIOJT6CNFF5PNQGLM66GEJ2P/bundle.json","state_url":"https://pith.science/pith/VLEIOJT6CNFF5PNQGLM66GEJ2P/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VLEIOJT6CNFF5PNQGLM66GEJ2P/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":"2026-08-07T18:53:34Z","links":{"resolver":"https://pith.science/pith/VLEIOJT6CNFF5PNQGLM66GEJ2P","bundle":"https://pith.science/pith/VLEIOJT6CNFF5PNQGLM66GEJ2P/bundle.json","state":"https://pith.science/pith/VLEIOJT6CNFF5PNQGLM66GEJ2P/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VLEIOJT6CNFF5PNQGLM66GEJ2P/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:VLEIOJT6CNFF5PNQGLM66GEJ2P","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":"863f388714064d17243bab9f26a83738ad0f8e71a08c7606214f40a7b0c89889","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-10-18T07:39:21Z","title_canon_sha256":"e4a3551f729c6e3f2cd7ae2f60c61356ede487f6e5b2be2217efe8dd6ea8bc74"},"schema_version":"1.0","source":{"id":"1210.5040","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1210.5040","created_at":"2026-05-18T03:19:11Z"},{"alias_kind":"arxiv_version","alias_value":"1210.5040v3","created_at":"2026-05-18T03:19:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1210.5040","created_at":"2026-05-18T03:19:11Z"},{"alias_kind":"pith_short_12","alias_value":"VLEIOJT6CNFF","created_at":"2026-05-18T12:27:25Z"},{"alias_kind":"pith_short_16","alias_value":"VLEIOJT6CNFF5PNQ","created_at":"2026-05-18T12:27:25Z"},{"alias_kind":"pith_short_8","alias_value":"VLEIOJT6","created_at":"2026-05-18T12:27:25Z"}],"graph_snapshots":[{"event_id":"sha256:70bd3f2e436fb9e6b00a4ba52c57e3c8a514f6011895aa3fa31fa5274b5af68b","target":"graph","created_at":"2026-05-18T03:19:11Z","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":"I consider the construction of heterotic orbifold models based on a toroidal orbifold with non Abelian point group. I construct an explicit model based on the point group $S_3$ and calculate the spectrum and remnant symmetries. This model provides a simple example of rank reduction of the Yang--Mills gauge group directly in the string theory rather than in the effective field theory.","authors_text":"Sebastian J. H. Konopka","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-10-18T07:39:21Z","title":"Non Abelian orbifold compactifications of the heterotic string"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1210.5040","kind":"arxiv","version":3},"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":"sha256:378fcbec70827653987dd913225c922a91fe335283b0e8957138ec8f4fffa785","target":"record","created_at":"2026-05-18T03:19:11Z","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":"863f388714064d17243bab9f26a83738ad0f8e71a08c7606214f40a7b0c89889","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-10-18T07:39:21Z","title_canon_sha256":"e4a3551f729c6e3f2cd7ae2f60c61356ede487f6e5b2be2217efe8dd6ea8bc74"},"schema_version":"1.0","source":{"id":"1210.5040","kind":"arxiv","version":3}},"canonical_sha256":"aac887267e134a5ebdb032d9ef1889d3d1cad7bd824044f3d9971cfbcdf40dc4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"aac887267e134a5ebdb032d9ef1889d3d1cad7bd824044f3d9971cfbcdf40dc4","first_computed_at":"2026-05-18T03:19:11.533849Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:19:11.533849Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"LDFshAM+5lWge5GD6Np+s9j4uZc9eqPYvOBLP7dQz+5lxrSiTEqsSrGhNkpHgF/tQ2XFBw9XO29eDLRdfzgKBg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:19:11.534414Z","signed_message":"canonical_sha256_bytes"},"source_id":"1210.5040","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:378fcbec70827653987dd913225c922a91fe335283b0e8957138ec8f4fffa785","sha256:70bd3f2e436fb9e6b00a4ba52c57e3c8a514f6011895aa3fa31fa5274b5af68b"],"state_sha256":"1fb5fe4fc49bbde46720cbbfc808002e83e7fe957753f03d05c7b958cad3c81b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DQTxuWsRRbc7vhQcFuge0/btUAaRZOEftY4dWZh7q4uj2t1cB4HOZNTRumJeGDKv9VajGDAqjgx6J74rwI7cBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-07T18:53:34.762417Z","bundle_sha256":"fbebd069cd10b3cb9e27a575c2c212acc3d7bae6c06397629f4285c60ca62016"}}