{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:5M5473HU2C5UYYOSLPREUY7RLB","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":"bb6c40102a5f99bd91f893db703c10a57a1bb53541eade0163bea718eb2a2609","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2017-03-09T00:49:31Z","title_canon_sha256":"1fc952138e500b41d04e31f5bb5c88230066e41d3072294f8f1d9f3d2a9ebc0e"},"schema_version":"1.0","source":{"id":"1703.03088","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1703.03088","created_at":"2026-05-18T00:05:00Z"},{"alias_kind":"arxiv_version","alias_value":"1703.03088v3","created_at":"2026-05-18T00:05:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.03088","created_at":"2026-05-18T00:05:00Z"},{"alias_kind":"pith_short_12","alias_value":"5M5473HU2C5U","created_at":"2026-05-18T12:31:00Z"},{"alias_kind":"pith_short_16","alias_value":"5M5473HU2C5UYYOS","created_at":"2026-05-18T12:31:00Z"},{"alias_kind":"pith_short_8","alias_value":"5M5473HU","created_at":"2026-05-18T12:31:00Z"}],"graph_snapshots":[{"event_id":"sha256:9353dde32891c09a77d90ead4c2443b04c718c127b3d6b9ce0b5338b9f4c9686","target":"graph","created_at":"2026-05-18T00:05:00Z","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"},"paper":{"abstract_excerpt":"We generalize a map by S. Mason regarding two combinatorial models for key polynomials, in a way that accounts for the major index.\n  We also define similar variants of this map, that regards alternative models for the modified Macdonald polynomials at $t=0$, thus partially answer a question by J. Haglund.\n  These maps imply certain uniqueness property regarding inversion-- and coinversion-free fillings, which allows us to generalize the notion of charge to a non-symmetric setting, thus answering a question by A. Lascoux. The analogous question in the symmetric setting proves a conjecture by K","authors_text":"Mehtaab Sawhney, Per Alexandersson","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2017-03-09T00:49:31Z","title":"A major-index preserving map on fillings"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.03088","kind":"arxiv","version":3},"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":"sha256:2d8f49505fe0221620429fcf9d3fd06fbeff8a4be99d7fe0de973cd2792b363d","target":"record","created_at":"2026-05-18T00:05:00Z","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":"bb6c40102a5f99bd91f893db703c10a57a1bb53541eade0163bea718eb2a2609","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2017-03-09T00:49:31Z","title_canon_sha256":"1fc952138e500b41d04e31f5bb5c88230066e41d3072294f8f1d9f3d2a9ebc0e"},"schema_version":"1.0","source":{"id":"1703.03088","kind":"arxiv","version":3}},"canonical_sha256":"eb3bcfecf4d0bb4c61d25be24a63f1587b2c430688108292c2926be907d7eaca","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"eb3bcfecf4d0bb4c61d25be24a63f1587b2c430688108292c2926be907d7eaca","first_computed_at":"2026-05-18T00:05:00.700957Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:05:00.700957Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+cYEbuvOgDE8zKdpFCsuxb6+TahhASYp9u8Dm+OhgzpN9o/UWzXiW46n7QrbIa9Isb2OJPd7oO7zFqfsIgi9AQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:05:00.701663Z","signed_message":"canonical_sha256_bytes"},"source_id":"1703.03088","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2d8f49505fe0221620429fcf9d3fd06fbeff8a4be99d7fe0de973cd2792b363d","sha256:9353dde32891c09a77d90ead4c2443b04c718c127b3d6b9ce0b5338b9f4c9686"],"state_sha256":"3e561ad768b7cbf3d9b974bae1ed524fde90f8762258421c23f3952c1aef2d82"}