{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2022:PCK4Z7TVO7KUDKXWWZGCKHJT5A","short_pith_number":"pith:PCK4Z7TV","canonical_record":{"source":{"id":"2202.00706","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2022-02-01T19:01:17Z","cross_cats_sorted":[],"title_canon_sha256":"31a0ba50ad0eaba05149bd22cd795588659e8a45c49575a1e6d7a1b506234860","abstract_canon_sha256":"3fe37c942fe18e9fd8d704875959659f78d3dc9a0e6aba944a6caf414595d1f0"},"schema_version":"1.0"},"canonical_sha256":"7895ccfe7577d541aaf6b64c251d33e82a0776643337f395292e5235df005502","source":{"kind":"arxiv","id":"2202.00706","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2202.00706","created_at":"2026-07-05T12:05:55Z"},{"alias_kind":"arxiv_version","alias_value":"2202.00706v3","created_at":"2026-07-05T12:05:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2202.00706","created_at":"2026-07-05T12:05:55Z"},{"alias_kind":"pith_short_12","alias_value":"PCK4Z7TVO7KU","created_at":"2026-07-05T12:05:55Z"},{"alias_kind":"pith_short_16","alias_value":"PCK4Z7TVO7KUDKXW","created_at":"2026-07-05T12:05:55Z"},{"alias_kind":"pith_short_8","alias_value":"PCK4Z7TV","created_at":"2026-07-05T12:05:55Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2022:PCK4Z7TVO7KUDKXWWZGCKHJT5A","target":"record","payload":{"canonical_record":{"source":{"id":"2202.00706","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2022-02-01T19:01:17Z","cross_cats_sorted":[],"title_canon_sha256":"31a0ba50ad0eaba05149bd22cd795588659e8a45c49575a1e6d7a1b506234860","abstract_canon_sha256":"3fe37c942fe18e9fd8d704875959659f78d3dc9a0e6aba944a6caf414595d1f0"},"schema_version":"1.0"},"canonical_sha256":"7895ccfe7577d541aaf6b64c251d33e82a0776643337f395292e5235df005502","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T12:05:55.762276Z","signature_b64":"IuDexS3lILroL169Hr+qo1BjxReZCE8j+YS7g/k6j0EoCUTGXFKq9fMCD7t113AHomdd+Ou/590WPEa/8vulBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7895ccfe7577d541aaf6b64c251d33e82a0776643337f395292e5235df005502","last_reissued_at":"2026-07-05T12:05:55.761770Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T12:05:55.761770Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2202.00706","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":"2026-07-05T12:05:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ucUkzLdQhhs0xpkyXxPI9GfI7+Ya9P26ql/gAE8J451yxz+T6RvBdp6CMKGfH0mHX7VJFoLilu+fvQXgWpYNCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-07T03:54:56.708833Z"},"content_sha256":"1ba53a0af9b5caefa140c40ae9fccfe45fa8b8bb8d56c5fb201fc1d0b537243f","schema_version":"1.0","event_id":"sha256:1ba53a0af9b5caefa140c40ae9fccfe45fa8b8bb8d56c5fb201fc1d0b537243f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2022:PCK4Z7TVO7KUDKXWWZGCKHJT5A","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Row-strict dual immaculate functions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Elizabeth Niese, Julianne Vega, Sheila Sundaram, Shiyun Wang, Stephanie van Willigenburg","submitted_at":"2022-02-01T19:01:17Z","abstract_excerpt":"We define a new basis of quasisymmetric functions, the row-strict dual immaculate functions, as the generating function of a particular set of tableaux. We establish that this definition gives a function that can also be obtained by applying the $\\psi$ involution to the dual immaculate functions of Berg, Bergeron, Saliola, Serrano, and Zabrocki (2014) and establish numerous combinatorial properties for our functions. We give an equivalent formulation of our functions via Bernstein-like operators, in a similar fashion to Berg et. al (2014). We conclude the paper by defining skew dual immaculate"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2202.00706","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/2202.00706/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":"2026-07-05T12:05:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WB63uvUiY8LNvG0BJU/QnoQdnUUAFhmrLTV6f1hfBFBFW2JjmEt6GY5QsgSsdVT51iX2+l8wj4d6bhG3ztgwCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-07T03:54:56.709197Z"},"content_sha256":"8f506d9d53d41842aac039b5853741b724ba11635543eb5396a6b7f2d78069c6","schema_version":"1.0","event_id":"sha256:8f506d9d53d41842aac039b5853741b724ba11635543eb5396a6b7f2d78069c6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/PCK4Z7TVO7KUDKXWWZGCKHJT5A/bundle.json","state_url":"https://pith.science/pith/PCK4Z7TVO7KUDKXWWZGCKHJT5A/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/PCK4Z7TVO7KUDKXWWZGCKHJT5A/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":"2026-07-07T03:54:56Z","links":{"resolver":"https://pith.science/pith/PCK4Z7TVO7KUDKXWWZGCKHJT5A","bundle":"https://pith.science/pith/PCK4Z7TVO7KUDKXWWZGCKHJT5A/bundle.json","state":"https://pith.science/pith/PCK4Z7TVO7KUDKXWWZGCKHJT5A/state.json","well_known_bundle":"https://pith.science/.well-known/pith/PCK4Z7TVO7KUDKXWWZGCKHJT5A/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:PCK4Z7TVO7KUDKXWWZGCKHJT5A","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":"3fe37c942fe18e9fd8d704875959659f78d3dc9a0e6aba944a6caf414595d1f0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2022-02-01T19:01:17Z","title_canon_sha256":"31a0ba50ad0eaba05149bd22cd795588659e8a45c49575a1e6d7a1b506234860"},"schema_version":"1.0","source":{"id":"2202.00706","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2202.00706","created_at":"2026-07-05T12:05:55Z"},{"alias_kind":"arxiv_version","alias_value":"2202.00706v3","created_at":"2026-07-05T12:05:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2202.00706","created_at":"2026-07-05T12:05:55Z"},{"alias_kind":"pith_short_12","alias_value":"PCK4Z7TVO7KU","created_at":"2026-07-05T12:05:55Z"},{"alias_kind":"pith_short_16","alias_value":"PCK4Z7TVO7KUDKXW","created_at":"2026-07-05T12:05:55Z"},{"alias_kind":"pith_short_8","alias_value":"PCK4Z7TV","created_at":"2026-07-05T12:05:55Z"}],"graph_snapshots":[{"event_id":"sha256:8f506d9d53d41842aac039b5853741b724ba11635543eb5396a6b7f2d78069c6","target":"graph","created_at":"2026-07-05T12:05:55Z","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/2202.00706/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We define a new basis of quasisymmetric functions, the row-strict dual immaculate functions, as the generating function of a particular set of tableaux. We establish that this definition gives a function that can also be obtained by applying the $\\psi$ involution to the dual immaculate functions of Berg, Bergeron, Saliola, Serrano, and Zabrocki (2014) and establish numerous combinatorial properties for our functions. We give an equivalent formulation of our functions via Bernstein-like operators, in a similar fashion to Berg et. al (2014). We conclude the paper by defining skew dual immaculate","authors_text":"Elizabeth Niese, Julianne Vega, Sheila Sundaram, Shiyun Wang, Stephanie van Willigenburg","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2022-02-01T19:01:17Z","title":"Row-strict dual immaculate functions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2202.00706","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":"sha256:1ba53a0af9b5caefa140c40ae9fccfe45fa8b8bb8d56c5fb201fc1d0b537243f","target":"record","created_at":"2026-07-05T12:05:55Z","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":"3fe37c942fe18e9fd8d704875959659f78d3dc9a0e6aba944a6caf414595d1f0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2022-02-01T19:01:17Z","title_canon_sha256":"31a0ba50ad0eaba05149bd22cd795588659e8a45c49575a1e6d7a1b506234860"},"schema_version":"1.0","source":{"id":"2202.00706","kind":"arxiv","version":3}},"canonical_sha256":"7895ccfe7577d541aaf6b64c251d33e82a0776643337f395292e5235df005502","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7895ccfe7577d541aaf6b64c251d33e82a0776643337f395292e5235df005502","first_computed_at":"2026-07-05T12:05:55.761770Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T12:05:55.761770Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"IuDexS3lILroL169Hr+qo1BjxReZCE8j+YS7g/k6j0EoCUTGXFKq9fMCD7t113AHomdd+Ou/590WPEa/8vulBw==","signature_status":"signed_v1","signed_at":"2026-07-05T12:05:55.762276Z","signed_message":"canonical_sha256_bytes"},"source_id":"2202.00706","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1ba53a0af9b5caefa140c40ae9fccfe45fa8b8bb8d56c5fb201fc1d0b537243f","sha256:8f506d9d53d41842aac039b5853741b724ba11635543eb5396a6b7f2d78069c6"],"state_sha256":"41baa684b6221d3ce4bb5c2bafc440c37eb10690496835117c51f5f11e7d79f9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ffRorkge23Q6OIaIO/hwAOkV+JYqwlSNg74PKUuic8eRkGQMP2jXppJiKIZIzwcvgZ/wJLiry62S+JkkwwWCCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-07T03:54:56.711187Z","bundle_sha256":"f02adda967f9524e88d25b08074fb7fe0a50948eba4cc806eb5b589a067ef72f"}}