{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:C7YZLQX36X2CKXN4MUMSX35G6D","short_pith_number":"pith:C7YZLQX3","schema_version":"1.0","canonical_sha256":"17f195c2fbf5f4255dbc65192befa6f0c94de7327541bee9296a7fa8d3ab0ec3","source":{"kind":"arxiv","id":"1805.03214","version":2},"attestation_state":"computed","paper":{"title":"The Geometry of the SU(2)$\\times$ G$_2$-model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG"],"primary_cat":"hep-th","authors_text":"Mboyo Esole, Monica Jinwoo Kang","submitted_at":"2018-05-08T18:00:06Z","abstract_excerpt":"We study elliptic fibrations that geometrically engineer an SU(2)$\\times$ G$_2$ gauge theory realized by Weierstrass model for the collision III+$\\text{I}_0^{*\\text{ns}}$. We construct the four possible crepant resolutions of such a Weierstrass model and show that they form a chain of four minimal models connected by flops. We compute the generating function for the Euler characteristic of these crepant resolutions. In the case of a Calabi-Yau threefold, we consider the compactification of M-theory and F-theory on an SU(2)$\\times$ G$_2$-model to a five and six-dimensional supergravity with eig"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1805.03214","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-05-08T18:00:06Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"5b3ab59dfb86931bcb90ec45994376a62f8af3571f37843ec07a5d5e4e0d7c26","abstract_canon_sha256":"40146b7ad2befeea8fd9801922f751a487fce860735c4a0f732f8b451b2f5986"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:43:33.330047Z","signature_b64":"C6neT6xnfXBs2X//9pfZM04B0vwDrEgOqDd79YHHWYkFXmyTWid2eUJXVLHJQpFca9byfz72PAjQVyaWzWFLDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"17f195c2fbf5f4255dbc65192befa6f0c94de7327541bee9296a7fa8d3ab0ec3","last_reissued_at":"2026-05-17T23:43:33.329689Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:43:33.329689Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The Geometry of the SU(2)$\\times$ G$_2$-model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG"],"primary_cat":"hep-th","authors_text":"Mboyo Esole, Monica Jinwoo Kang","submitted_at":"2018-05-08T18:00:06Z","abstract_excerpt":"We study elliptic fibrations that geometrically engineer an SU(2)$\\times$ G$_2$ gauge theory realized by Weierstrass model for the collision III+$\\text{I}_0^{*\\text{ns}}$. We construct the four possible crepant resolutions of such a Weierstrass model and show that they form a chain of four minimal models connected by flops. We compute the generating function for the Euler characteristic of these crepant resolutions. In the case of a Calabi-Yau threefold, we consider the compactification of M-theory and F-theory on an SU(2)$\\times$ G$_2$-model to a five and six-dimensional supergravity with eig"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.03214","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1805.03214","created_at":"2026-05-17T23:43:33.329742+00:00"},{"alias_kind":"arxiv_version","alias_value":"1805.03214v2","created_at":"2026-05-17T23:43:33.329742+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1805.03214","created_at":"2026-05-17T23:43:33.329742+00:00"},{"alias_kind":"pith_short_12","alias_value":"C7YZLQX36X2C","created_at":"2026-05-18T12:32:16.446611+00:00"},{"alias_kind":"pith_short_16","alias_value":"C7YZLQX36X2CKXN4","created_at":"2026-05-18T12:32:16.446611+00:00"},{"alias_kind":"pith_short_8","alias_value":"C7YZLQX3","created_at":"2026-05-18T12:32:16.446611+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/C7YZLQX36X2CKXN4MUMSX35G6D","json":"https://pith.science/pith/C7YZLQX36X2CKXN4MUMSX35G6D.json","graph_json":"https://pith.science/api/pith-number/C7YZLQX36X2CKXN4MUMSX35G6D/graph.json","events_json":"https://pith.science/api/pith-number/C7YZLQX36X2CKXN4MUMSX35G6D/events.json","paper":"https://pith.science/paper/C7YZLQX3"},"agent_actions":{"view_html":"https://pith.science/pith/C7YZLQX36X2CKXN4MUMSX35G6D","download_json":"https://pith.science/pith/C7YZLQX36X2CKXN4MUMSX35G6D.json","view_paper":"https://pith.science/paper/C7YZLQX3","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1805.03214&json=true","fetch_graph":"https://pith.science/api/pith-number/C7YZLQX36X2CKXN4MUMSX35G6D/graph.json","fetch_events":"https://pith.science/api/pith-number/C7YZLQX36X2CKXN4MUMSX35G6D/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/C7YZLQX36X2CKXN4MUMSX35G6D/action/timestamp_anchor","attest_storage":"https://pith.science/pith/C7YZLQX36X2CKXN4MUMSX35G6D/action/storage_attestation","attest_author":"https://pith.science/pith/C7YZLQX36X2CKXN4MUMSX35G6D/action/author_attestation","sign_citation":"https://pith.science/pith/C7YZLQX36X2CKXN4MUMSX35G6D/action/citation_signature","submit_replication":"https://pith.science/pith/C7YZLQX36X2CKXN4MUMSX35G6D/action/replication_record"}},"created_at":"2026-05-17T23:43:33.329742+00:00","updated_at":"2026-05-17T23:43:33.329742+00:00"}