{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:XGTVJAUVSPIJD6OAKL6RQA3DFX","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":"24ba63eef4e51a275650aa01bbc3861ba67848339e1ccafa7d6e33cb8d1ee63c","cross_cats_sorted":["math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-12-12T21:00:08Z","title_canon_sha256":"350bc97e0f31719289fb57620bce6b9de29ed8decc4a727afe0153bb132c8a7f"},"schema_version":"1.0","source":{"id":"1412.4123","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1412.4123","created_at":"2026-05-18T01:32:18Z"},{"alias_kind":"arxiv_version","alias_value":"1412.4123v4","created_at":"2026-05-18T01:32:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.4123","created_at":"2026-05-18T01:32:18Z"},{"alias_kind":"pith_short_12","alias_value":"XGTVJAUVSPIJ","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_16","alias_value":"XGTVJAUVSPIJD6OA","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_8","alias_value":"XGTVJAUV","created_at":"2026-05-18T12:28:57Z"}],"graph_snapshots":[{"event_id":"sha256:4cb7713cd84ef8e94ac080951de5a1c1301eb9077f7dde4385d4ae4e55c4bb4c","target":"graph","created_at":"2026-05-18T01:32:18Z","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 the physics of globally consistent four-dimensional $\\mathcal{N}=1$ supersymmetric M-theory compactifications on $G_2$ manifolds constructed via twisted connected sum; there are now perhaps fifty million examples of these manifolds. We study a rich example that exhibits $U(1)^3$ gauge symmetry and a spectrum of massive charged particles that includes a trifundamental. Applying recent mathematical results to this example, we compute membrane instanton corrections to the superpotential and spacetime topology change in a compact model; the latter include both the (non-isolated) $G_2$ flo","authors_text":"David R. Morrison, James Halverson","cross_cats":["math.DG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-12-12T21:00:08Z","title":"The Landscape of M-theory Compactifications on Seven-Manifolds with $G_2$ Holonomy"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.4123","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":"sha256:0f959b9ace6deb2bf51ddc0c187f003d8437626b1374cb5562c78d6189542b2a","target":"record","created_at":"2026-05-18T01:32:18Z","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":"24ba63eef4e51a275650aa01bbc3861ba67848339e1ccafa7d6e33cb8d1ee63c","cross_cats_sorted":["math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-12-12T21:00:08Z","title_canon_sha256":"350bc97e0f31719289fb57620bce6b9de29ed8decc4a727afe0153bb132c8a7f"},"schema_version":"1.0","source":{"id":"1412.4123","kind":"arxiv","version":4}},"canonical_sha256":"b9a754829593d091f9c052fd1803632dc21434076460157a51e02c5944177f13","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b9a754829593d091f9c052fd1803632dc21434076460157a51e02c5944177f13","first_computed_at":"2026-05-18T01:32:18.851233Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:32:18.851233Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"UyW/08UxS9OFVogrL/wTRf7Wz93djHCSF8Jzacl+WCOkF4aXBbMdnzsXx5XJtXkvUADco1HixqYnYRegL6GdCA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:32:18.851990Z","signed_message":"canonical_sha256_bytes"},"source_id":"1412.4123","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0f959b9ace6deb2bf51ddc0c187f003d8437626b1374cb5562c78d6189542b2a","sha256:4cb7713cd84ef8e94ac080951de5a1c1301eb9077f7dde4385d4ae4e55c4bb4c"],"state_sha256":"61370b8d37eed820947764cc2a74468612427a4ac0a636eac7497dd6de16f83b"}