{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2022:HZOEW5A2DSFZAL7GVZ2QDL5V2Q","short_pith_number":"pith:HZOEW5A2","canonical_record":{"source":{"id":"2206.15451","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.CO","submitted_at":"2022-06-30T17:47:18Z","cross_cats_sorted":[],"title_canon_sha256":"61c546dd859cb9ada0598709d242790d6ea7b142429057f90b8008a25a59c158","abstract_canon_sha256":"bda60bbf2f7612911bbb1af2102b052e3d0f878c1be24e121b35b10856b63f7b"},"schema_version":"1.0"},"canonical_sha256":"3e5c4b741a1c8b902fe6ae7501afb5d4378ddb3c2a27710707eeaf7f82ea2adc","source":{"kind":"arxiv","id":"2206.15451","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2206.15451","created_at":"2026-05-20T00:02:44Z"},{"alias_kind":"arxiv_version","alias_value":"2206.15451v3","created_at":"2026-05-20T00:02:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2206.15451","created_at":"2026-05-20T00:02:44Z"},{"alias_kind":"pith_short_12","alias_value":"HZOEW5A2DSFZ","created_at":"2026-05-20T00:02:44Z"},{"alias_kind":"pith_short_16","alias_value":"HZOEW5A2DSFZAL7G","created_at":"2026-05-20T00:02:44Z"},{"alias_kind":"pith_short_8","alias_value":"HZOEW5A2","created_at":"2026-05-20T00:02:44Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2022:HZOEW5A2DSFZAL7GVZ2QDL5V2Q","target":"record","payload":{"canonical_record":{"source":{"id":"2206.15451","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.CO","submitted_at":"2022-06-30T17:47:18Z","cross_cats_sorted":[],"title_canon_sha256":"61c546dd859cb9ada0598709d242790d6ea7b142429057f90b8008a25a59c158","abstract_canon_sha256":"bda60bbf2f7612911bbb1af2102b052e3d0f878c1be24e121b35b10856b63f7b"},"schema_version":"1.0"},"canonical_sha256":"3e5c4b741a1c8b902fe6ae7501afb5d4378ddb3c2a27710707eeaf7f82ea2adc","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-20T00:02:44.526826Z","signature_b64":"RfqGEmUWIGqI9QGHLZTypUl9xbid77CmX/KYecyI9sp0sGe55bg7JArnOyhMUfSm9Mhi/5krgNp0JYrLGe4sAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3e5c4b741a1c8b902fe6ae7501afb5d4378ddb3c2a27710707eeaf7f82ea2adc","last_reissued_at":"2026-05-20T00:02:44.526074Z","signature_status":"signed_v1","first_computed_at":"2026-05-20T00:02:44.526074Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2206.15451","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-20T00:02:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5WsmOxisAiyVwMzw3xe84YCDar54m4DUDmmWuWhBe5PI05Jmh/UmXwlHrw6ZYHI0CfhgDBD9VvJgW/Fvixd8DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-07T19:17:56.871766Z"},"content_sha256":"620fff26c50d0ef7e1ac9ebc1d47766d0e5123042a5b3ba8fa455e8412b8fe93","schema_version":"1.0","event_id":"sha256:620fff26c50d0ef7e1ac9ebc1d47766d0e5123042a5b3ba8fa455e8412b8fe93"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2022:HZOEW5A2DSFZAL7GVZ2QDL5V2Q","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A super Robinson-Schensted-Knuth correspondence with symmetry and the super Littlewood-Richardson rule","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Nohra Hage","submitted_at":"2022-06-30T17:47:18Z","abstract_excerpt":"The Robinson-Schensted-Knuth (RSK) correspondence is a bijective correspondence between two-rowed arrays of non-negative integers and pairs of same-shape semistandard tableaux. This correspondence satisfies the symmetry property, that is, exchanging the rows of a two-rowed array is equivalent to exchanging the positions of the corresponding pair of semistandard tableaux. In this article, we introduce a super-analogue of the RSK correspondence for super tableaux over a signed alphabet using a super version of Schensted's insertion algorithms. We give a geometrical interpretation of the super-RS"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2206.15451","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2206.15451/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-20T00:02:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"31joy8SIULw883jOrpFBCLFh61PazCyWdY+OLbCCxTbLk7ciirKLWFQT8Cc03qLRHtPGcM7JQvECp9xk3rxLBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-07T19:17:56.872343Z"},"content_sha256":"22ba3dc803b64436bbfa84e0e569e417c5bf96dc5b64d1089fef3088f9168586","schema_version":"1.0","event_id":"sha256:22ba3dc803b64436bbfa84e0e569e417c5bf96dc5b64d1089fef3088f9168586"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HZOEW5A2DSFZAL7GVZ2QDL5V2Q/bundle.json","state_url":"https://pith.science/pith/HZOEW5A2DSFZAL7GVZ2QDL5V2Q/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HZOEW5A2DSFZAL7GVZ2QDL5V2Q/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-08-07T19:17:56Z","links":{"resolver":"https://pith.science/pith/HZOEW5A2DSFZAL7GVZ2QDL5V2Q","bundle":"https://pith.science/pith/HZOEW5A2DSFZAL7GVZ2QDL5V2Q/bundle.json","state":"https://pith.science/pith/HZOEW5A2DSFZAL7GVZ2QDL5V2Q/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HZOEW5A2DSFZAL7GVZ2QDL5V2Q/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:HZOEW5A2DSFZAL7GVZ2QDL5V2Q","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":"bda60bbf2f7612911bbb1af2102b052e3d0f878c1be24e121b35b10856b63f7b","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.CO","submitted_at":"2022-06-30T17:47:18Z","title_canon_sha256":"61c546dd859cb9ada0598709d242790d6ea7b142429057f90b8008a25a59c158"},"schema_version":"1.0","source":{"id":"2206.15451","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2206.15451","created_at":"2026-05-20T00:02:44Z"},{"alias_kind":"arxiv_version","alias_value":"2206.15451v3","created_at":"2026-05-20T00:02:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2206.15451","created_at":"2026-05-20T00:02:44Z"},{"alias_kind":"pith_short_12","alias_value":"HZOEW5A2DSFZ","created_at":"2026-05-20T00:02:44Z"},{"alias_kind":"pith_short_16","alias_value":"HZOEW5A2DSFZAL7G","created_at":"2026-05-20T00:02:44Z"},{"alias_kind":"pith_short_8","alias_value":"HZOEW5A2","created_at":"2026-05-20T00:02:44Z"}],"graph_snapshots":[{"event_id":"sha256:22ba3dc803b64436bbfa84e0e569e417c5bf96dc5b64d1089fef3088f9168586","target":"graph","created_at":"2026-05-20T00:02:44Z","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/2206.15451/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The Robinson-Schensted-Knuth (RSK) correspondence is a bijective correspondence between two-rowed arrays of non-negative integers and pairs of same-shape semistandard tableaux. This correspondence satisfies the symmetry property, that is, exchanging the rows of a two-rowed array is equivalent to exchanging the positions of the corresponding pair of semistandard tableaux. In this article, we introduce a super-analogue of the RSK correspondence for super tableaux over a signed alphabet using a super version of Schensted's insertion algorithms. We give a geometrical interpretation of the super-RS","authors_text":"Nohra Hage","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.CO","submitted_at":"2022-06-30T17:47:18Z","title":"A super Robinson-Schensted-Knuth correspondence with symmetry and the super Littlewood-Richardson rule"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2206.15451","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":"sha256:620fff26c50d0ef7e1ac9ebc1d47766d0e5123042a5b3ba8fa455e8412b8fe93","target":"record","created_at":"2026-05-20T00:02:44Z","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":"bda60bbf2f7612911bbb1af2102b052e3d0f878c1be24e121b35b10856b63f7b","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.CO","submitted_at":"2022-06-30T17:47:18Z","title_canon_sha256":"61c546dd859cb9ada0598709d242790d6ea7b142429057f90b8008a25a59c158"},"schema_version":"1.0","source":{"id":"2206.15451","kind":"arxiv","version":3}},"canonical_sha256":"3e5c4b741a1c8b902fe6ae7501afb5d4378ddb3c2a27710707eeaf7f82ea2adc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3e5c4b741a1c8b902fe6ae7501afb5d4378ddb3c2a27710707eeaf7f82ea2adc","first_computed_at":"2026-05-20T00:02:44.526074Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-20T00:02:44.526074Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"RfqGEmUWIGqI9QGHLZTypUl9xbid77CmX/KYecyI9sp0sGe55bg7JArnOyhMUfSm9Mhi/5krgNp0JYrLGe4sAA==","signature_status":"signed_v1","signed_at":"2026-05-20T00:02:44.526826Z","signed_message":"canonical_sha256_bytes"},"source_id":"2206.15451","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:620fff26c50d0ef7e1ac9ebc1d47766d0e5123042a5b3ba8fa455e8412b8fe93","sha256:22ba3dc803b64436bbfa84e0e569e417c5bf96dc5b64d1089fef3088f9168586"],"state_sha256":"f7280987aecc56b97e12877e0397d33c424be816909bc56afb75b7ce527ab4a2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"iQlxdcXYZx3s6RVF+HNW2mUeAmHzUPdwD8FTkh7jwtxifOA7ZGHnSWHGlA5Zrygxd0+HyV8D/1d90JKXTd90Aw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-07T19:17:56.876486Z","bundle_sha256":"e8e4b99f6f0d720c155364660b4d0ac67a2d97d793d4c0cde78dc2434ffe34eb"}}