{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:ALY55CUNG5ABKYL7O27QZDAZI7","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"67497ca6945b5e4fead4196f73b7b9acc309b96a215e9a650b55dbb8d6129145","cross_cats_sorted":["math-ph","math.MP","math.QA","math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2024-07-03T17:42:51Z","title_canon_sha256":"c37131050a88918f6057922b006d2aac27158b3b99f567fcd89521d2da737fa8"},"schema_version":"1.0","source":{"id":"2407.03301","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2407.03301","created_at":"2026-07-05T08:53:23Z"},{"alias_kind":"arxiv_version","alias_value":"2407.03301v1","created_at":"2026-07-05T08:53:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2407.03301","created_at":"2026-07-05T08:53:23Z"},{"alias_kind":"pith_short_12","alias_value":"ALY55CUNG5AB","created_at":"2026-07-05T08:53:23Z"},{"alias_kind":"pith_short_16","alias_value":"ALY55CUNG5ABKYL7","created_at":"2026-07-05T08:53:23Z"},{"alias_kind":"pith_short_8","alias_value":"ALY55CUN","created_at":"2026-07-05T08:53:23Z"}],"graph_snapshots":[{"event_id":"sha256:55072ada46a6ddc9f58a1b7a53d65b2fff159a880c2622aa8b63066cf17abd4f","target":"graph","created_at":"2026-07-05T08:53:23Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2407.03301/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We introduce generalization of famous Macdonald polynomials for the case of super-Young diagrams that contain half-boxes on the equal footing with full boxes. These super-Macdonald polynomials are polynomials of extended set of variables: usual $p_k$ variables are accompanied by anti-commuting Grassmann variables $\\theta_k$. Starting from recently defined super-Schur polynomials and exploiting orthogonality relations with triangular decompositions we are able to fully determine super-Macdonald polynomials. These new polynomials have similar properties to canonical Macdonald polynomials -- they","authors_text":"Alexei Morozov, Dmitry Galakhov, Nikita Tselousov","cross_cats":["math-ph","math.MP","math.QA","math.RT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2024-07-03T17:42:51Z","title":"Macdonald polynomials for super-partitions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2407.03301","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:13f535e1a7d364886f6c228d071ac65f94185e1ffc7c5b64e3882976c6bb42aa","target":"record","created_at":"2026-07-05T08:53:23Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"67497ca6945b5e4fead4196f73b7b9acc309b96a215e9a650b55dbb8d6129145","cross_cats_sorted":["math-ph","math.MP","math.QA","math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2024-07-03T17:42:51Z","title_canon_sha256":"c37131050a88918f6057922b006d2aac27158b3b99f567fcd89521d2da737fa8"},"schema_version":"1.0","source":{"id":"2407.03301","kind":"arxiv","version":1}},"canonical_sha256":"02f1de8a8d374015617f76bf0c8c1947d988061b16c63d4d1612b82478d480d3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"02f1de8a8d374015617f76bf0c8c1947d988061b16c63d4d1612b82478d480d3","first_computed_at":"2026-07-05T08:53:23.786160Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:53:23.786160Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"sbnrvbBYZrhnuxfqCm+2YKsciuddYaHh+PaBRtRMCk39fGfUFAhGhclESAZdV6CmRUSvIEin6oOFsWVv+gHvDw==","signature_status":"signed_v1","signed_at":"2026-07-05T08:53:23.786629Z","signed_message":"canonical_sha256_bytes"},"source_id":"2407.03301","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:13f535e1a7d364886f6c228d071ac65f94185e1ffc7c5b64e3882976c6bb42aa","sha256:55072ada46a6ddc9f58a1b7a53d65b2fff159a880c2622aa8b63066cf17abd4f"],"state_sha256":"2d3703958767ed09b49890c168d4d39330f14bc7da2ac82e8ac959d557ed640b"}