{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:X7DY3ZIK7BOXZCA6G6NCJZ2RGZ","short_pith_number":"pith:X7DY3ZIK","canonical_record":{"source":{"id":"1110.4014","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2011-10-18T15:07:06Z","cross_cats_sorted":[],"title_canon_sha256":"61483410fb7e5df1a0f6971428fdc483177cf1652e9e800379445142fb90a327","abstract_canon_sha256":"6dc4b97586498cc40612e8f949c9aaa67698e78c01ad6c88a40a3c3e3044a3bb"},"schema_version":"1.0"},"canonical_sha256":"bfc78de50af85d7c881e379a24e7513653e9fad1022357df667129766e5c51b2","source":{"kind":"arxiv","id":"1110.4014","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1110.4014","created_at":"2026-05-18T04:10:47Z"},{"alias_kind":"arxiv_version","alias_value":"1110.4014v1","created_at":"2026-05-18T04:10:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1110.4014","created_at":"2026-05-18T04:10:47Z"},{"alias_kind":"pith_short_12","alias_value":"X7DY3ZIK7BOX","created_at":"2026-05-18T12:26:44Z"},{"alias_kind":"pith_short_16","alias_value":"X7DY3ZIK7BOXZCA6","created_at":"2026-05-18T12:26:44Z"},{"alias_kind":"pith_short_8","alias_value":"X7DY3ZIK","created_at":"2026-05-18T12:26:44Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:X7DY3ZIK7BOXZCA6G6NCJZ2RGZ","target":"record","payload":{"canonical_record":{"source":{"id":"1110.4014","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2011-10-18T15:07:06Z","cross_cats_sorted":[],"title_canon_sha256":"61483410fb7e5df1a0f6971428fdc483177cf1652e9e800379445142fb90a327","abstract_canon_sha256":"6dc4b97586498cc40612e8f949c9aaa67698e78c01ad6c88a40a3c3e3044a3bb"},"schema_version":"1.0"},"canonical_sha256":"bfc78de50af85d7c881e379a24e7513653e9fad1022357df667129766e5c51b2","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:10:47.497744Z","signature_b64":"XjGwt674/uOPj7KHqtgkaXQNmpYFebTYQVXe/9gicJsIupY6eWCu25viyJCIXqVUX3p10R380Nr/5yNPobHZDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bfc78de50af85d7c881e379a24e7513653e9fad1022357df667129766e5c51b2","last_reissued_at":"2026-05-18T04:10:47.497312Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:10:47.497312Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1110.4014","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:10:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Eoi6tC4DIBSdZVHTvdQydu/ueJX0pIDeSrmr33En4XvZLraarftxZS6AYQsxxYUJpkWT5zd5CC0BTIEtblerDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T19:43:49.046349Z"},"content_sha256":"3ca24f452fd4030a8af81c50454f3f4e96c11711dd1c36adf00da7f81a52ea40","schema_version":"1.0","event_id":"sha256:3ca24f452fd4030a8af81c50454f3f4e96c11711dd1c36adf00da7f81a52ea40"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:X7DY3ZIK7BOXZCA6G6NCJZ2RGZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Row-strict quasisymmetric Schur functions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Jeffrey Remmel, Sarah Mason","submitted_at":"2011-10-18T15:07:06Z","abstract_excerpt":"Haglund, Luoto, Mason, and van Willigenburg introduced a basis for quasisymmetric functions called the quasisymmetric Schur function basis, generated combinatorially through fillings of composition diagrams in much the same way as Schur functions are generated through reverse column-strict tableaux. We introduce a new basis for quasisymmetric functions called the row-strict quasisymmetric Schur function basis, generated combinatorially through fillings of composition diagrams in much the same way as Schur functions are generated through row-strict tableaux. We describe the relationship between"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1110.4014","kind":"arxiv","version":1},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:10:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YODfL/FqjSMqFQE08TTsdC/MzkufkLEEkcoY4O/1LHZS73Axq275IPhwMU0oKYIDfOZ2CvUDBVd6TG2ZqPX7DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T19:43:49.046698Z"},"content_sha256":"65d5c82d08f1a6bda40e9f2cca87475c48f9470c3297f8bd4820ddc541d25c4e","schema_version":"1.0","event_id":"sha256:65d5c82d08f1a6bda40e9f2cca87475c48f9470c3297f8bd4820ddc541d25c4e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/X7DY3ZIK7BOXZCA6G6NCJZ2RGZ/bundle.json","state_url":"https://pith.science/pith/X7DY3ZIK7BOXZCA6G6NCJZ2RGZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/X7DY3ZIK7BOXZCA6G6NCJZ2RGZ/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":"2026-06-24T19:43:49Z","links":{"resolver":"https://pith.science/pith/X7DY3ZIK7BOXZCA6G6NCJZ2RGZ","bundle":"https://pith.science/pith/X7DY3ZIK7BOXZCA6G6NCJZ2RGZ/bundle.json","state":"https://pith.science/pith/X7DY3ZIK7BOXZCA6G6NCJZ2RGZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/X7DY3ZIK7BOXZCA6G6NCJZ2RGZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:X7DY3ZIK7BOXZCA6G6NCJZ2RGZ","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":"6dc4b97586498cc40612e8f949c9aaa67698e78c01ad6c88a40a3c3e3044a3bb","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2011-10-18T15:07:06Z","title_canon_sha256":"61483410fb7e5df1a0f6971428fdc483177cf1652e9e800379445142fb90a327"},"schema_version":"1.0","source":{"id":"1110.4014","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1110.4014","created_at":"2026-05-18T04:10:47Z"},{"alias_kind":"arxiv_version","alias_value":"1110.4014v1","created_at":"2026-05-18T04:10:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1110.4014","created_at":"2026-05-18T04:10:47Z"},{"alias_kind":"pith_short_12","alias_value":"X7DY3ZIK7BOX","created_at":"2026-05-18T12:26:44Z"},{"alias_kind":"pith_short_16","alias_value":"X7DY3ZIK7BOXZCA6","created_at":"2026-05-18T12:26:44Z"},{"alias_kind":"pith_short_8","alias_value":"X7DY3ZIK","created_at":"2026-05-18T12:26:44Z"}],"graph_snapshots":[{"event_id":"sha256:65d5c82d08f1a6bda40e9f2cca87475c48f9470c3297f8bd4820ddc541d25c4e","target":"graph","created_at":"2026-05-18T04:10:47Z","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":"Haglund, Luoto, Mason, and van Willigenburg introduced a basis for quasisymmetric functions called the quasisymmetric Schur function basis, generated combinatorially through fillings of composition diagrams in much the same way as Schur functions are generated through reverse column-strict tableaux. We introduce a new basis for quasisymmetric functions called the row-strict quasisymmetric Schur function basis, generated combinatorially through fillings of composition diagrams in much the same way as Schur functions are generated through row-strict tableaux. We describe the relationship between","authors_text":"Jeffrey Remmel, Sarah Mason","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2011-10-18T15:07:06Z","title":"Row-strict quasisymmetric Schur functions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1110.4014","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":"sha256:3ca24f452fd4030a8af81c50454f3f4e96c11711dd1c36adf00da7f81a52ea40","target":"record","created_at":"2026-05-18T04:10:47Z","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":"6dc4b97586498cc40612e8f949c9aaa67698e78c01ad6c88a40a3c3e3044a3bb","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2011-10-18T15:07:06Z","title_canon_sha256":"61483410fb7e5df1a0f6971428fdc483177cf1652e9e800379445142fb90a327"},"schema_version":"1.0","source":{"id":"1110.4014","kind":"arxiv","version":1}},"canonical_sha256":"bfc78de50af85d7c881e379a24e7513653e9fad1022357df667129766e5c51b2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bfc78de50af85d7c881e379a24e7513653e9fad1022357df667129766e5c51b2","first_computed_at":"2026-05-18T04:10:47.497312Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:10:47.497312Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"XjGwt674/uOPj7KHqtgkaXQNmpYFebTYQVXe/9gicJsIupY6eWCu25viyJCIXqVUX3p10R380Nr/5yNPobHZDg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:10:47.497744Z","signed_message":"canonical_sha256_bytes"},"source_id":"1110.4014","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3ca24f452fd4030a8af81c50454f3f4e96c11711dd1c36adf00da7f81a52ea40","sha256:65d5c82d08f1a6bda40e9f2cca87475c48f9470c3297f8bd4820ddc541d25c4e"],"state_sha256":"f96b7f5b72e9ab499df75e45246b53fad68758c54dc3a0157066fc748f3343d6"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oqbdYohbpaqu5644DqEJCAK96RZQL0V3PaikYGzyMUCmjYvBxs7X30fwIVttd40YFi6zEoYtTKvGR2RaRFj7BQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-24T19:43:49.048595Z","bundle_sha256":"f5bea2219b8bb83b64c43f08cc01cfe8171894ac3a1212b734e4b8e02a93a7f6"}}