{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:JD7N5O765KD6RAAUYPLJL3R5LF","short_pith_number":"pith:JD7N5O76","schema_version":"1.0","canonical_sha256":"48fedebbfeea87e88014c3d695ee3d5940a26d20fe239d9f470a73af7ee6ef8b","source":{"kind":"arxiv","id":"1310.7622","version":2},"attestation_state":"computed","paper":{"title":"On genus expansion of superpolynomials","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"A. Mironov, A. Morozov, A. Sleptsov, A. Smirnov","submitted_at":"2013-10-28T20:56:05Z","abstract_excerpt":"Recently it was shown that the (Ooguri-Vafa) generating function of HOMFLY polynomials is the Hurwitz partition function, i.e. that the dependence of the HOMFLY polynomials on representation R is naturally captured by symmetric group characters (cut-and-join eigenvalues). The genus expansion and expansion through Vassiliev invariants explicitly demonstrate this phenomenon. In the present letter we claim that the superpolynomials are not functions of such a type: symmetric group characters do not provide an adequate linear basis for their expansions. Deformation to superpolynomials is, however,"},"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":"1310.7622","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-10-28T20:56:05Z","cross_cats_sorted":[],"title_canon_sha256":"c63e86aea98c6c396c0b31465fa665589c49dffa58b6ce4d64f86ded752fc48c","abstract_canon_sha256":"957bc9461008a3191be574820584075c1aad7f57935094d93abfa9dae63a53ce"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:33:01.408200Z","signature_b64":"WgXzQF2N3swHd9rut5f0/Ral0bzmReLQbhPLV0wBndhL08Sbi9LWsveSdzXMqGTGfuSRnYoVfhYCEqfsxHNSCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"48fedebbfeea87e88014c3d695ee3d5940a26d20fe239d9f470a73af7ee6ef8b","last_reissued_at":"2026-05-18T02:33:01.407827Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:33:01.407827Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On genus expansion of superpolynomials","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"A. Mironov, A. Morozov, A. Sleptsov, A. Smirnov","submitted_at":"2013-10-28T20:56:05Z","abstract_excerpt":"Recently it was shown that the (Ooguri-Vafa) generating function of HOMFLY polynomials is the Hurwitz partition function, i.e. that the dependence of the HOMFLY polynomials on representation R is naturally captured by symmetric group characters (cut-and-join eigenvalues). The genus expansion and expansion through Vassiliev invariants explicitly demonstrate this phenomenon. In the present letter we claim that the superpolynomials are not functions of such a type: symmetric group characters do not provide an adequate linear basis for their expansions. Deformation to superpolynomials is, however,"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.7622","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":"1310.7622","created_at":"2026-05-18T02:33:01.407888+00:00"},{"alias_kind":"arxiv_version","alias_value":"1310.7622v2","created_at":"2026-05-18T02:33:01.407888+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1310.7622","created_at":"2026-05-18T02:33:01.407888+00:00"},{"alias_kind":"pith_short_12","alias_value":"JD7N5O765KD6","created_at":"2026-05-18T12:27:49.015174+00:00"},{"alias_kind":"pith_short_16","alias_value":"JD7N5O765KD6RAAU","created_at":"2026-05-18T12:27:49.015174+00:00"},{"alias_kind":"pith_short_8","alias_value":"JD7N5O76","created_at":"2026-05-18T12:27:49.015174+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/JD7N5O765KD6RAAUYPLJL3R5LF","json":"https://pith.science/pith/JD7N5O765KD6RAAUYPLJL3R5LF.json","graph_json":"https://pith.science/api/pith-number/JD7N5O765KD6RAAUYPLJL3R5LF/graph.json","events_json":"https://pith.science/api/pith-number/JD7N5O765KD6RAAUYPLJL3R5LF/events.json","paper":"https://pith.science/paper/JD7N5O76"},"agent_actions":{"view_html":"https://pith.science/pith/JD7N5O765KD6RAAUYPLJL3R5LF","download_json":"https://pith.science/pith/JD7N5O765KD6RAAUYPLJL3R5LF.json","view_paper":"https://pith.science/paper/JD7N5O76","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1310.7622&json=true","fetch_graph":"https://pith.science/api/pith-number/JD7N5O765KD6RAAUYPLJL3R5LF/graph.json","fetch_events":"https://pith.science/api/pith-number/JD7N5O765KD6RAAUYPLJL3R5LF/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/JD7N5O765KD6RAAUYPLJL3R5LF/action/timestamp_anchor","attest_storage":"https://pith.science/pith/JD7N5O765KD6RAAUYPLJL3R5LF/action/storage_attestation","attest_author":"https://pith.science/pith/JD7N5O765KD6RAAUYPLJL3R5LF/action/author_attestation","sign_citation":"https://pith.science/pith/JD7N5O765KD6RAAUYPLJL3R5LF/action/citation_signature","submit_replication":"https://pith.science/pith/JD7N5O765KD6RAAUYPLJL3R5LF/action/replication_record"}},"created_at":"2026-05-18T02:33:01.407888+00:00","updated_at":"2026-05-18T02:33:01.407888+00:00"}