{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:NIOFODZWDLKG3ZPHBZKROTF7ZW","short_pith_number":"pith:NIOFODZW","schema_version":"1.0","canonical_sha256":"6a1c570f361ad46de5e70e55174cbfcd99f5eb9a8fc3957c5250232460b6baa0","source":{"kind":"arxiv","id":"1402.6331","version":2},"attestation_state":"computed","paper":{"title":"Singularities and Gauge Theory Phases","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG"],"primary_cat":"hep-th","authors_text":"Mboyo Esole, Shing-Tung Yau, Shu-Heng Shao","submitted_at":"2014-02-25T21:00:25Z","abstract_excerpt":"Motivated by M-theory compactification on elliptic Calabi-Yau threefolds, we present a correspondence between networks of small resolutions for singular elliptic fibrations and Coulomb branches of five-dimensional N=1 gauge theories. While resolutions correspond to subchambers of the Coulomb branch, partial resolutions correspond to higher codimension loci at which the Coulomb branch intersects the Coulomb-Higgs branches. Flops between different resolutions are identified with reflections on the Coulomb branch. Physics aside, this correspondence provides an interesting link between elliptic fi"},"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":"1402.6331","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-02-25T21:00:25Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"ae06cab981056b4094c28acf0174675e3d9f18f668be415340b033863fc4b577","abstract_canon_sha256":"0379e6b5888669e837f279c899dbd8ccac4ea06b8656bded1ad98fb50344dbb3"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:48:02.176917Z","signature_b64":"Cwp6f5BwzAw6C62fRhNaG2L/Bb2LFsCiL1Bgogal6Kw+xMhboHIopOmMoc8Ri1A2gaP9Wzo/toIzHqMvatMrBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6a1c570f361ad46de5e70e55174cbfcd99f5eb9a8fc3957c5250232460b6baa0","last_reissued_at":"2026-05-18T02:48:02.176346Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:48:02.176346Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Singularities and Gauge Theory Phases","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG"],"primary_cat":"hep-th","authors_text":"Mboyo Esole, Shing-Tung Yau, Shu-Heng Shao","submitted_at":"2014-02-25T21:00:25Z","abstract_excerpt":"Motivated by M-theory compactification on elliptic Calabi-Yau threefolds, we present a correspondence between networks of small resolutions for singular elliptic fibrations and Coulomb branches of five-dimensional N=1 gauge theories. While resolutions correspond to subchambers of the Coulomb branch, partial resolutions correspond to higher codimension loci at which the Coulomb branch intersects the Coulomb-Higgs branches. Flops between different resolutions are identified with reflections on the Coulomb branch. Physics aside, this correspondence provides an interesting link between elliptic fi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1402.6331","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":"1402.6331","created_at":"2026-05-18T02:48:02.176428+00:00"},{"alias_kind":"arxiv_version","alias_value":"1402.6331v2","created_at":"2026-05-18T02:48:02.176428+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1402.6331","created_at":"2026-05-18T02:48:02.176428+00:00"},{"alias_kind":"pith_short_12","alias_value":"NIOFODZWDLKG","created_at":"2026-05-18T12:28:41.024544+00:00"},{"alias_kind":"pith_short_16","alias_value":"NIOFODZWDLKG3ZPH","created_at":"2026-05-18T12:28:41.024544+00:00"},{"alias_kind":"pith_short_8","alias_value":"NIOFODZW","created_at":"2026-05-18T12:28:41.024544+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/NIOFODZWDLKG3ZPHBZKROTF7ZW","json":"https://pith.science/pith/NIOFODZWDLKG3ZPHBZKROTF7ZW.json","graph_json":"https://pith.science/api/pith-number/NIOFODZWDLKG3ZPHBZKROTF7ZW/graph.json","events_json":"https://pith.science/api/pith-number/NIOFODZWDLKG3ZPHBZKROTF7ZW/events.json","paper":"https://pith.science/paper/NIOFODZW"},"agent_actions":{"view_html":"https://pith.science/pith/NIOFODZWDLKG3ZPHBZKROTF7ZW","download_json":"https://pith.science/pith/NIOFODZWDLKG3ZPHBZKROTF7ZW.json","view_paper":"https://pith.science/paper/NIOFODZW","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1402.6331&json=true","fetch_graph":"https://pith.science/api/pith-number/NIOFODZWDLKG3ZPHBZKROTF7ZW/graph.json","fetch_events":"https://pith.science/api/pith-number/NIOFODZWDLKG3ZPHBZKROTF7ZW/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/NIOFODZWDLKG3ZPHBZKROTF7ZW/action/timestamp_anchor","attest_storage":"https://pith.science/pith/NIOFODZWDLKG3ZPHBZKROTF7ZW/action/storage_attestation","attest_author":"https://pith.science/pith/NIOFODZWDLKG3ZPHBZKROTF7ZW/action/author_attestation","sign_citation":"https://pith.science/pith/NIOFODZWDLKG3ZPHBZKROTF7ZW/action/citation_signature","submit_replication":"https://pith.science/pith/NIOFODZWDLKG3ZPHBZKROTF7ZW/action/replication_record"}},"created_at":"2026-05-18T02:48:02.176428+00:00","updated_at":"2026-05-18T02:48:02.176428+00:00"}