{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:53AIGNGHNBXD6ZV7RDT2ARR2ZR","short_pith_number":"pith:53AIGNGH","canonical_record":{"source":{"id":"2411.13371","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2024-11-20T14:51:55Z","cross_cats_sorted":[],"title_canon_sha256":"867710312852be34e711d575c2a31d16d6bce6dfda417f65c5db0a4caeb665e1","abstract_canon_sha256":"1b47c5a351db79e9cb587b21054eed6f0c6bf8e133a56b3e5933244834f165e4"},"schema_version":"1.0"},"canonical_sha256":"eec08334c7686e3f66bf88e7a0463acc659b2ff82a954057ab721dab4a1124a6","source":{"kind":"arxiv","id":"2411.13371","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2411.13371","created_at":"2026-07-05T09:38:09Z"},{"alias_kind":"arxiv_version","alias_value":"2411.13371v1","created_at":"2026-07-05T09:38:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2411.13371","created_at":"2026-07-05T09:38:09Z"},{"alias_kind":"pith_short_12","alias_value":"53AIGNGHNBXD","created_at":"2026-07-05T09:38:09Z"},{"alias_kind":"pith_short_16","alias_value":"53AIGNGHNBXD6ZV7","created_at":"2026-07-05T09:38:09Z"},{"alias_kind":"pith_short_8","alias_value":"53AIGNGH","created_at":"2026-07-05T09:38:09Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:53AIGNGHNBXD6ZV7RDT2ARR2ZR","target":"record","payload":{"canonical_record":{"source":{"id":"2411.13371","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2024-11-20T14:51:55Z","cross_cats_sorted":[],"title_canon_sha256":"867710312852be34e711d575c2a31d16d6bce6dfda417f65c5db0a4caeb665e1","abstract_canon_sha256":"1b47c5a351db79e9cb587b21054eed6f0c6bf8e133a56b3e5933244834f165e4"},"schema_version":"1.0"},"canonical_sha256":"eec08334c7686e3f66bf88e7a0463acc659b2ff82a954057ab721dab4a1124a6","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:38:09.409488Z","signature_b64":"RloEYYTTMHAPfHmP2d458mA9UnVqvDOXBEtfGBRhRc1IQp//WdZx1NxHNwImGWqaxURVJXsWxPsufmInGjRjAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"eec08334c7686e3f66bf88e7a0463acc659b2ff82a954057ab721dab4a1124a6","last_reissued_at":"2026-07-05T09:38:09.409045Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:38:09.409045Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2411.13371","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":"2026-07-05T09:38:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FiBvzdrqZ5/9LjtvrAH5Z5TNKl8sY7LI6SjdQNS+d3eBXCJ7P3m7fKzDuM8Qn+XUPei/YRVc0/GMtoL2VGPACw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-19T22:26:19.213217Z"},"content_sha256":"ba602325c44e2a504168d3b1f114cb20cdce671d67f4c49fb4a13b32a964cdef","schema_version":"1.0","event_id":"sha256:ba602325c44e2a504168d3b1f114cb20cdce671d67f4c49fb4a13b32a964cdef"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:53AIGNGHNBXD6ZV7RDT2ARR2ZR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Fundamental quasisymmetric functions in superspace","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Jessica Gatica, Luc Lapointe, Maria Elena Pinto, Susanna Fishel","submitted_at":"2024-11-20T14:51:55Z","abstract_excerpt":"The fundamental quasisymmetric functions in superspace are a generalization of the fundamental quasisymmetric functions involving anticommuting variables. We obtain the action of the product, coproduct, and antipode on the fundamental quasisymmetric functions in superspace. We also extend to superspace the well known expansion of the Schur functions in terms of fundamental quasisymmetric functions."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2411.13371","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2411.13371/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":"2026-07-05T09:38:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zUwthU6X/UDAtIt2/1j9CXTNQIBjnmqPqMG8qkaYD+rfWPaW1Ca5MKOlmWR03by1xhlVqSsZNjK8IquKmhkKDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-19T22:26:19.213732Z"},"content_sha256":"29aa8f73bb4c3aefec5845fae5d8d7985df383e0626939a578a5d79421fb32a0","schema_version":"1.0","event_id":"sha256:29aa8f73bb4c3aefec5845fae5d8d7985df383e0626939a578a5d79421fb32a0"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/53AIGNGHNBXD6ZV7RDT2ARR2ZR/bundle.json","state_url":"https://pith.science/pith/53AIGNGHNBXD6ZV7RDT2ARR2ZR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/53AIGNGHNBXD6ZV7RDT2ARR2ZR/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":"2026-08-19T22:26:19Z","links":{"resolver":"https://pith.science/pith/53AIGNGHNBXD6ZV7RDT2ARR2ZR","bundle":"https://pith.science/pith/53AIGNGHNBXD6ZV7RDT2ARR2ZR/bundle.json","state":"https://pith.science/pith/53AIGNGHNBXD6ZV7RDT2ARR2ZR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/53AIGNGHNBXD6ZV7RDT2ARR2ZR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:53AIGNGHNBXD6ZV7RDT2ARR2ZR","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":"1b47c5a351db79e9cb587b21054eed6f0c6bf8e133a56b3e5933244834f165e4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2024-11-20T14:51:55Z","title_canon_sha256":"867710312852be34e711d575c2a31d16d6bce6dfda417f65c5db0a4caeb665e1"},"schema_version":"1.0","source":{"id":"2411.13371","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2411.13371","created_at":"2026-07-05T09:38:09Z"},{"alias_kind":"arxiv_version","alias_value":"2411.13371v1","created_at":"2026-07-05T09:38:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2411.13371","created_at":"2026-07-05T09:38:09Z"},{"alias_kind":"pith_short_12","alias_value":"53AIGNGHNBXD","created_at":"2026-07-05T09:38:09Z"},{"alias_kind":"pith_short_16","alias_value":"53AIGNGHNBXD6ZV7","created_at":"2026-07-05T09:38:09Z"},{"alias_kind":"pith_short_8","alias_value":"53AIGNGH","created_at":"2026-07-05T09:38:09Z"}],"graph_snapshots":[{"event_id":"sha256:29aa8f73bb4c3aefec5845fae5d8d7985df383e0626939a578a5d79421fb32a0","target":"graph","created_at":"2026-07-05T09:38:09Z","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/2411.13371/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The fundamental quasisymmetric functions in superspace are a generalization of the fundamental quasisymmetric functions involving anticommuting variables. We obtain the action of the product, coproduct, and antipode on the fundamental quasisymmetric functions in superspace. We also extend to superspace the well known expansion of the Schur functions in terms of fundamental quasisymmetric functions.","authors_text":"Jessica Gatica, Luc Lapointe, Maria Elena Pinto, Susanna Fishel","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2024-11-20T14:51:55Z","title":"Fundamental quasisymmetric functions in superspace"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2411.13371","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:ba602325c44e2a504168d3b1f114cb20cdce671d67f4c49fb4a13b32a964cdef","target":"record","created_at":"2026-07-05T09:38:09Z","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":"1b47c5a351db79e9cb587b21054eed6f0c6bf8e133a56b3e5933244834f165e4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2024-11-20T14:51:55Z","title_canon_sha256":"867710312852be34e711d575c2a31d16d6bce6dfda417f65c5db0a4caeb665e1"},"schema_version":"1.0","source":{"id":"2411.13371","kind":"arxiv","version":1}},"canonical_sha256":"eec08334c7686e3f66bf88e7a0463acc659b2ff82a954057ab721dab4a1124a6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"eec08334c7686e3f66bf88e7a0463acc659b2ff82a954057ab721dab4a1124a6","first_computed_at":"2026-07-05T09:38:09.409045Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:38:09.409045Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"RloEYYTTMHAPfHmP2d458mA9UnVqvDOXBEtfGBRhRc1IQp//WdZx1NxHNwImGWqaxURVJXsWxPsufmInGjRjAA==","signature_status":"signed_v1","signed_at":"2026-07-05T09:38:09.409488Z","signed_message":"canonical_sha256_bytes"},"source_id":"2411.13371","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ba602325c44e2a504168d3b1f114cb20cdce671d67f4c49fb4a13b32a964cdef","sha256:29aa8f73bb4c3aefec5845fae5d8d7985df383e0626939a578a5d79421fb32a0"],"state_sha256":"efff9f9361dff8652db1d0a9745c402ee8c9a54a5f3e399aecde7dac600a98f2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FDmlfmEjCkjXIXsSEMLgAU2i4SoBqbUYCxyC9rgjJpgb7cuZ1tvePe3iQOv5RI+/fcXBTaJTRfhVyZDG3WuvBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-19T22:26:19.219310Z","bundle_sha256":"87542d21eeb03ce8f3f0d1083afd84e5d268f1df7e495e05dbb2825ac207c08f"}}