{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2021:HTUS3645M47GNUAWDYNABY4RGG","short_pith_number":"pith:HTUS3645","schema_version":"1.0","canonical_sha256":"3ce92dfb9d673e66d0161e1a00e391318983a2f663ce4a203c9ef42048edbb5c","source":{"kind":"arxiv","id":"2107.03656","version":5},"attestation_state":"computed","paper":{"title":"Instanton counting and O-vertex","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"Rui-Dong Zhu, Satoshi Nawata","submitted_at":"2021-07-08T07:44:18Z","abstract_excerpt":"We present closed-form expressions of unrefined instanton partition functions for gauge groups of type $BCD$ as sums over Young diagrams. For $\\mathrm{SO}(n)$ gauge groups, we provide a fivebrane web picture of our formula based on the vertex-operator formalism of the topological vertex with a new type called O-vertex for an O5-plane."},"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":"2107.03656","kind":"arxiv","version":5},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2021-07-08T07:44:18Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"0576238d9dc7d153fe6789d59c28ae961123c0bd062d9069d51b0db3278498eb","abstract_canon_sha256":"02ee4ad807c0073b2002ca47b71dbc2f4da43be051bcbdfbe7f95dd127969722"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T05:37:03.442086Z","signature_b64":"D5b01+DsfQ5QtsH79o9hZHIR5nqn3BskRgstokXNnxeD7r1UHiEDF4Mh7qnDhd6LYyiS0OOT+BgvveL1t/qZDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3ce92dfb9d673e66d0161e1a00e391318983a2f663ce4a203c9ef42048edbb5c","last_reissued_at":"2026-07-05T05:37:03.441587Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T05:37:03.441587Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Instanton counting and O-vertex","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"Rui-Dong Zhu, Satoshi Nawata","submitted_at":"2021-07-08T07:44:18Z","abstract_excerpt":"We present closed-form expressions of unrefined instanton partition functions for gauge groups of type $BCD$ as sums over Young diagrams. For $\\mathrm{SO}(n)$ gauge groups, we provide a fivebrane web picture of our formula based on the vertex-operator formalism of the topological vertex with a new type called O-vertex for an O5-plane."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2107.03656","kind":"arxiv","version":5},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2107.03656/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2107.03656","created_at":"2026-07-05T05:37:03.441648+00:00"},{"alias_kind":"arxiv_version","alias_value":"2107.03656v5","created_at":"2026-07-05T05:37:03.441648+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2107.03656","created_at":"2026-07-05T05:37:03.441648+00:00"},{"alias_kind":"pith_short_12","alias_value":"HTUS3645M47G","created_at":"2026-07-05T05:37:03.441648+00:00"},{"alias_kind":"pith_short_16","alias_value":"HTUS3645M47GNUAW","created_at":"2026-07-05T05:37:03.441648+00:00"},{"alias_kind":"pith_short_8","alias_value":"HTUS3645","created_at":"2026-07-05T05:37:03.441648+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2512.21606","citing_title":"Shell formulas for instantons and gauge origami","ref_index":10,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/HTUS3645M47GNUAWDYNABY4RGG","json":"https://pith.science/pith/HTUS3645M47GNUAWDYNABY4RGG.json","graph_json":"https://pith.science/api/pith-number/HTUS3645M47GNUAWDYNABY4RGG/graph.json","events_json":"https://pith.science/api/pith-number/HTUS3645M47GNUAWDYNABY4RGG/events.json","paper":"https://pith.science/paper/HTUS3645"},"agent_actions":{"view_html":"https://pith.science/pith/HTUS3645M47GNUAWDYNABY4RGG","download_json":"https://pith.science/pith/HTUS3645M47GNUAWDYNABY4RGG.json","view_paper":"https://pith.science/paper/HTUS3645","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2107.03656&json=true","fetch_graph":"https://pith.science/api/pith-number/HTUS3645M47GNUAWDYNABY4RGG/graph.json","fetch_events":"https://pith.science/api/pith-number/HTUS3645M47GNUAWDYNABY4RGG/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/HTUS3645M47GNUAWDYNABY4RGG/action/timestamp_anchor","attest_storage":"https://pith.science/pith/HTUS3645M47GNUAWDYNABY4RGG/action/storage_attestation","attest_author":"https://pith.science/pith/HTUS3645M47GNUAWDYNABY4RGG/action/author_attestation","sign_citation":"https://pith.science/pith/HTUS3645M47GNUAWDYNABY4RGG/action/citation_signature","submit_replication":"https://pith.science/pith/HTUS3645M47GNUAWDYNABY4RGG/action/replication_record"}},"created_at":"2026-07-05T05:37:03.441648+00:00","updated_at":"2026-07-05T05:37:03.441648+00:00"}