{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:TL7GOHSJGXFCZZW2PWIWYTOYDT","short_pith_number":"pith:TL7GOHSJ","canonical_record":{"source":{"id":"1411.0034","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-10-31T21:51:52Z","cross_cats_sorted":[],"title_canon_sha256":"d38a00fe111565f69751c6a734c7c6bff484a44e73f6e3a31393ff1c652fd9c5","abstract_canon_sha256":"d06c813fe42d660829351a6e1cedfb6bd4ec8fd21046812d8d32f115eafc3fb5"},"schema_version":"1.0"},"canonical_sha256":"9afe671e4935ca2ce6da7d916c4dd81cca21681f404a0ba30f61f599a7333bf5","source":{"kind":"arxiv","id":"1411.0034","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1411.0034","created_at":"2026-05-18T01:41:36Z"},{"alias_kind":"arxiv_version","alias_value":"1411.0034v2","created_at":"2026-05-18T01:41:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1411.0034","created_at":"2026-05-18T01:41:36Z"},{"alias_kind":"pith_short_12","alias_value":"TL7GOHSJGXFC","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_16","alias_value":"TL7GOHSJGXFCZZW2","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_8","alias_value":"TL7GOHSJ","created_at":"2026-05-18T12:28:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:TL7GOHSJGXFCZZW2PWIWYTOYDT","target":"record","payload":{"canonical_record":{"source":{"id":"1411.0034","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-10-31T21:51:52Z","cross_cats_sorted":[],"title_canon_sha256":"d38a00fe111565f69751c6a734c7c6bff484a44e73f6e3a31393ff1c652fd9c5","abstract_canon_sha256":"d06c813fe42d660829351a6e1cedfb6bd4ec8fd21046812d8d32f115eafc3fb5"},"schema_version":"1.0"},"canonical_sha256":"9afe671e4935ca2ce6da7d916c4dd81cca21681f404a0ba30f61f599a7333bf5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:41:36.327482Z","signature_b64":"5wBCosr8oap1X6wm6gZONHUYYgJuL+f70V1Nh2Jn7e085lf7Fv/QDtv49sj8gHcK5y9AJHqdJGgf+vQcSYhGDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9afe671e4935ca2ce6da7d916c4dd81cca21681f404a0ba30f61f599a7333bf5","last_reissued_at":"2026-05-18T01:41:36.326882Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:41:36.326882Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1411.0034","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":"2026-05-18T01:41:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SmT8sIGbpFLXheDKZJynSysvGssVL5zJFmCxGLR3Oju9RXvFfVWazJ5y8f5lQaOey4G0xwjQ/DyNVm8H2ge4AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T23:17:15.029171Z"},"content_sha256":"86f0b4aca807d86e762c9e560546b11bf261f4ab03e66b14266759c29220fa9d","schema_version":"1.0","event_id":"sha256:86f0b4aca807d86e762c9e560546b11bf261f4ab03e66b14266759c29220fa9d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:TL7GOHSJGXFCZZW2PWIWYTOYDT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Hypercharge Flux in Heterotic Compactifications","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Andrei Constantin, Andre Lukas, Lara B. Anderson, Seung-Joo Lee","submitted_at":"2014-10-31T21:51:52Z","abstract_excerpt":"We study heterotic Calabi-Yau models with hypercharge flux breaking, where the visible E8 gauge group is directly broken to the standard model group by a non-flat gauge bundle, rather than by a two-step process involving an intermediate grand unified theory and a Wilson line. It is shown that the required alternative E8 embeddings of hypercharge, normalized as required for gauge unification, can be found and we classify these possibilities. However, for all but one of these embeddings we prove a general no-go theorem which asserts that no suitable geometry and vector bundle leading to a standa"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.0034","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":""},"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":"2026-05-18T01:41:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dMqtehkwC+Bp3mMM8F/sc3qjVvY1Rym4L/6rVOxdhgVPZ/hxQg1SP8gFDWxVsms5RpBpDf4YkpAdPji7IjRZBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T23:17:15.029549Z"},"content_sha256":"9e692003cd3ff302b2b86b4c418ee03b0326852f752cc6a281fe5ceeb6a67f67","schema_version":"1.0","event_id":"sha256:9e692003cd3ff302b2b86b4c418ee03b0326852f752cc6a281fe5ceeb6a67f67"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TL7GOHSJGXFCZZW2PWIWYTOYDT/bundle.json","state_url":"https://pith.science/pith/TL7GOHSJGXFCZZW2PWIWYTOYDT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TL7GOHSJGXFCZZW2PWIWYTOYDT/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":"2026-05-27T23:17:15Z","links":{"resolver":"https://pith.science/pith/TL7GOHSJGXFCZZW2PWIWYTOYDT","bundle":"https://pith.science/pith/TL7GOHSJGXFCZZW2PWIWYTOYDT/bundle.json","state":"https://pith.science/pith/TL7GOHSJGXFCZZW2PWIWYTOYDT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TL7GOHSJGXFCZZW2PWIWYTOYDT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:TL7GOHSJGXFCZZW2PWIWYTOYDT","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":"d06c813fe42d660829351a6e1cedfb6bd4ec8fd21046812d8d32f115eafc3fb5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-10-31T21:51:52Z","title_canon_sha256":"d38a00fe111565f69751c6a734c7c6bff484a44e73f6e3a31393ff1c652fd9c5"},"schema_version":"1.0","source":{"id":"1411.0034","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1411.0034","created_at":"2026-05-18T01:41:36Z"},{"alias_kind":"arxiv_version","alias_value":"1411.0034v2","created_at":"2026-05-18T01:41:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1411.0034","created_at":"2026-05-18T01:41:36Z"},{"alias_kind":"pith_short_12","alias_value":"TL7GOHSJGXFC","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_16","alias_value":"TL7GOHSJGXFCZZW2","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_8","alias_value":"TL7GOHSJ","created_at":"2026-05-18T12:28:49Z"}],"graph_snapshots":[{"event_id":"sha256:9e692003cd3ff302b2b86b4c418ee03b0326852f752cc6a281fe5ceeb6a67f67","target":"graph","created_at":"2026-05-18T01:41:36Z","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 heterotic Calabi-Yau models with hypercharge flux breaking, where the visible E8 gauge group is directly broken to the standard model group by a non-flat gauge bundle, rather than by a two-step process involving an intermediate grand unified theory and a Wilson line. It is shown that the required alternative E8 embeddings of hypercharge, normalized as required for gauge unification, can be found and we classify these possibilities. However, for all but one of these embeddings we prove a general no-go theorem which asserts that no suitable geometry and vector bundle leading to a standa","authors_text":"Andrei Constantin, Andre Lukas, Lara B. Anderson, Seung-Joo Lee","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-10-31T21:51:52Z","title":"Hypercharge Flux in Heterotic Compactifications"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.0034","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":"sha256:86f0b4aca807d86e762c9e560546b11bf261f4ab03e66b14266759c29220fa9d","target":"record","created_at":"2026-05-18T01:41:36Z","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":"d06c813fe42d660829351a6e1cedfb6bd4ec8fd21046812d8d32f115eafc3fb5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-10-31T21:51:52Z","title_canon_sha256":"d38a00fe111565f69751c6a734c7c6bff484a44e73f6e3a31393ff1c652fd9c5"},"schema_version":"1.0","source":{"id":"1411.0034","kind":"arxiv","version":2}},"canonical_sha256":"9afe671e4935ca2ce6da7d916c4dd81cca21681f404a0ba30f61f599a7333bf5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9afe671e4935ca2ce6da7d916c4dd81cca21681f404a0ba30f61f599a7333bf5","first_computed_at":"2026-05-18T01:41:36.326882Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:41:36.326882Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"5wBCosr8oap1X6wm6gZONHUYYgJuL+f70V1Nh2Jn7e085lf7Fv/QDtv49sj8gHcK5y9AJHqdJGgf+vQcSYhGDw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:41:36.327482Z","signed_message":"canonical_sha256_bytes"},"source_id":"1411.0034","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:86f0b4aca807d86e762c9e560546b11bf261f4ab03e66b14266759c29220fa9d","sha256:9e692003cd3ff302b2b86b4c418ee03b0326852f752cc6a281fe5ceeb6a67f67"],"state_sha256":"3ce4b44939165f3fa602da73efd104fce5b29624ee8a95ec2cf7f2fd5ae2700a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tOfR/QGrksDbkbaKYVHqm2QK0nKpnVflhwgUA70DwyVDn/eXiF5Mn6+Hjn9oOl0sH0AJ71avloFhGhGU74W7AQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T23:17:15.031690Z","bundle_sha256":"678b258750bc73afeaf5ed6bb3de1cc29a682bed931e8e78f63b8361836906d7"}}