{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:S7GCFA6HPEYBBVGSVR7J775PNU","short_pith_number":"pith:S7GCFA6H","schema_version":"1.0","canonical_sha256":"97cc2283c7793010d4d2ac7e9fffaf6d0c954f3e19cca03b08530da7405652a1","source":{"kind":"arxiv","id":"1107.2787","version":1},"attestation_state":"computed","paper":{"title":"The Liouville side of the Vortex","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"Alessandro Tanzini, Giulio Bonelli, Jian Zhao","submitted_at":"2011-07-14T11:16:59Z","abstract_excerpt":"We analyze conformal blocks with multiple (semi-)degenerate field insertions in Liouville/Toda conformal field theories an show that their vector space is fully reproduced by the four-dimensional limit of open topological string amplitudes on the strip with generic boundary conditions associated to a suitable quiver gauge theory. As a byproduct we identify the non-abelian vortex partition function with a specific fusion channel of degenerate conformal blocks."},"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":"1107.2787","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-07-14T11:16:59Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"b5a7ea996d516cb7327248435755c9759be89ed05170df00a130b0a5f79d9bcc","abstract_canon_sha256":"3d8b4ff6511af70ea7577de10b2f53e2cd69fc2e01afede5770322944d0514fb"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:01:17.073358Z","signature_b64":"wBID5TwKxWMqDZZj/oVMvj3W4Zmmw1MIBaSIQcAmlkydK+cogQXc4tvcivvaZ7QfJbKTlaW9qZQ4P9hy0jKrAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"97cc2283c7793010d4d2ac7e9fffaf6d0c954f3e19cca03b08530da7405652a1","last_reissued_at":"2026-05-18T02:01:17.072929Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:01:17.072929Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The Liouville side of the Vortex","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"Alessandro Tanzini, Giulio Bonelli, Jian Zhao","submitted_at":"2011-07-14T11:16:59Z","abstract_excerpt":"We analyze conformal blocks with multiple (semi-)degenerate field insertions in Liouville/Toda conformal field theories an show that their vector space is fully reproduced by the four-dimensional limit of open topological string amplitudes on the strip with generic boundary conditions associated to a suitable quiver gauge theory. As a byproduct we identify the non-abelian vortex partition function with a specific fusion channel of degenerate conformal blocks."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1107.2787","kind":"arxiv","version":1},"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":"1107.2787","created_at":"2026-05-18T02:01:17.072988+00:00"},{"alias_kind":"arxiv_version","alias_value":"1107.2787v1","created_at":"2026-05-18T02:01:17.072988+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1107.2787","created_at":"2026-05-18T02:01:17.072988+00:00"},{"alias_kind":"pith_short_12","alias_value":"S7GCFA6HPEYB","created_at":"2026-05-18T12:26:41.206345+00:00"},{"alias_kind":"pith_short_16","alias_value":"S7GCFA6HPEYBBVGS","created_at":"2026-05-18T12:26:41.206345+00:00"},{"alias_kind":"pith_short_8","alias_value":"S7GCFA6H","created_at":"2026-05-18T12:26:41.206345+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"1907.02771","citing_title":"Defects, nested instantons and comet shaped quivers","ref_index":50,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/S7GCFA6HPEYBBVGSVR7J775PNU","json":"https://pith.science/pith/S7GCFA6HPEYBBVGSVR7J775PNU.json","graph_json":"https://pith.science/api/pith-number/S7GCFA6HPEYBBVGSVR7J775PNU/graph.json","events_json":"https://pith.science/api/pith-number/S7GCFA6HPEYBBVGSVR7J775PNU/events.json","paper":"https://pith.science/paper/S7GCFA6H"},"agent_actions":{"view_html":"https://pith.science/pith/S7GCFA6HPEYBBVGSVR7J775PNU","download_json":"https://pith.science/pith/S7GCFA6HPEYBBVGSVR7J775PNU.json","view_paper":"https://pith.science/paper/S7GCFA6H","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1107.2787&json=true","fetch_graph":"https://pith.science/api/pith-number/S7GCFA6HPEYBBVGSVR7J775PNU/graph.json","fetch_events":"https://pith.science/api/pith-number/S7GCFA6HPEYBBVGSVR7J775PNU/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/S7GCFA6HPEYBBVGSVR7J775PNU/action/timestamp_anchor","attest_storage":"https://pith.science/pith/S7GCFA6HPEYBBVGSVR7J775PNU/action/storage_attestation","attest_author":"https://pith.science/pith/S7GCFA6HPEYBBVGSVR7J775PNU/action/author_attestation","sign_citation":"https://pith.science/pith/S7GCFA6HPEYBBVGSVR7J775PNU/action/citation_signature","submit_replication":"https://pith.science/pith/S7GCFA6HPEYBBVGSVR7J775PNU/action/replication_record"}},"created_at":"2026-05-18T02:01:17.072988+00:00","updated_at":"2026-05-18T02:01:17.072988+00:00"}