{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:6GXASXLIVQTCIHMILAE7TP53ZY","short_pith_number":"pith:6GXASXLI","schema_version":"1.0","canonical_sha256":"f1ae095d68ac26241d885809f9bfbbce02ab2ef3c2c652676dec57e748eadf5f","source":{"kind":"arxiv","id":"1412.8455","version":2},"attestation_state":"computed","paper":{"title":"Condensates and instanton - torus knot duality. Hidden Physics at UV scale","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"A. Gorsky, A. Milekhin","submitted_at":"2014-12-29T20:44:18Z","abstract_excerpt":"We establish the duality between the torus knot superpolynomials or the Poincar\\'e polynomials of the Khovanov homology and particular condensates in $\\Omega$-deformed 5D supersymmetric QED compactified on a circle with 5d Chern-Simons(CS) term. It is explicitly shown that $n$-instanton contribution to the condensate of the massless flavor in the background of four-observable, exactly coincides with the superpolynomial of the $T(n,nk+1)$ torus knot where $k$ - is the level of CS term. In contrast to the previously known results, the particular torus knot corresponds not to the partition functi"},"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":"1412.8455","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-12-29T20:44:18Z","cross_cats_sorted":[],"title_canon_sha256":"601fef0343480a61bf15ed16f2de800c89294bd7a0e418fc620e6eeaa7741cda","abstract_canon_sha256":"6abf87127b0c34c2f3b4560de7ed32d9bf0cfcf6e6b2a9c54a55b3b0c250c70a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:25:02.234837Z","signature_b64":"BOI6V0uCFcpxhSSvBWO2kd+hRQxONp8qVP9p0xQGqpSe5TmeAVdaie5hKtgDrXzrPWPJ5W6lcVJetGUF6fYmAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f1ae095d68ac26241d885809f9bfbbce02ab2ef3c2c652676dec57e748eadf5f","last_reissued_at":"2026-05-18T01:25:02.234214Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:25:02.234214Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Condensates and instanton - torus knot duality. Hidden Physics at UV scale","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"A. Gorsky, A. Milekhin","submitted_at":"2014-12-29T20:44:18Z","abstract_excerpt":"We establish the duality between the torus knot superpolynomials or the Poincar\\'e polynomials of the Khovanov homology and particular condensates in $\\Omega$-deformed 5D supersymmetric QED compactified on a circle with 5d Chern-Simons(CS) term. It is explicitly shown that $n$-instanton contribution to the condensate of the massless flavor in the background of four-observable, exactly coincides with the superpolynomial of the $T(n,nk+1)$ torus knot where $k$ - is the level of CS term. In contrast to the previously known results, the particular torus knot corresponds not to the partition functi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.8455","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":"1412.8455","created_at":"2026-05-18T01:25:02.234334+00:00"},{"alias_kind":"arxiv_version","alias_value":"1412.8455v2","created_at":"2026-05-18T01:25:02.234334+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.8455","created_at":"2026-05-18T01:25:02.234334+00:00"},{"alias_kind":"pith_short_12","alias_value":"6GXASXLIVQTC","created_at":"2026-05-18T12:28:16.859392+00:00"},{"alias_kind":"pith_short_16","alias_value":"6GXASXLIVQTCIHMI","created_at":"2026-05-18T12:28:16.859392+00:00"},{"alias_kind":"pith_short_8","alias_value":"6GXASXLI","created_at":"2026-05-18T12:28:16.859392+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/6GXASXLIVQTCIHMILAE7TP53ZY","json":"https://pith.science/pith/6GXASXLIVQTCIHMILAE7TP53ZY.json","graph_json":"https://pith.science/api/pith-number/6GXASXLIVQTCIHMILAE7TP53ZY/graph.json","events_json":"https://pith.science/api/pith-number/6GXASXLIVQTCIHMILAE7TP53ZY/events.json","paper":"https://pith.science/paper/6GXASXLI"},"agent_actions":{"view_html":"https://pith.science/pith/6GXASXLIVQTCIHMILAE7TP53ZY","download_json":"https://pith.science/pith/6GXASXLIVQTCIHMILAE7TP53ZY.json","view_paper":"https://pith.science/paper/6GXASXLI","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1412.8455&json=true","fetch_graph":"https://pith.science/api/pith-number/6GXASXLIVQTCIHMILAE7TP53ZY/graph.json","fetch_events":"https://pith.science/api/pith-number/6GXASXLIVQTCIHMILAE7TP53ZY/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/6GXASXLIVQTCIHMILAE7TP53ZY/action/timestamp_anchor","attest_storage":"https://pith.science/pith/6GXASXLIVQTCIHMILAE7TP53ZY/action/storage_attestation","attest_author":"https://pith.science/pith/6GXASXLIVQTCIHMILAE7TP53ZY/action/author_attestation","sign_citation":"https://pith.science/pith/6GXASXLIVQTCIHMILAE7TP53ZY/action/citation_signature","submit_replication":"https://pith.science/pith/6GXASXLIVQTCIHMILAE7TP53ZY/action/replication_record"}},"created_at":"2026-05-18T01:25:02.234334+00:00","updated_at":"2026-05-18T01:25:02.234334+00:00"}