{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:QIZ4IQ6OB3JYYFDYIACW5TAPGL","short_pith_number":"pith:QIZ4IQ6O","canonical_record":{"source":{"id":"2406.10784","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2024-06-16T02:51:03Z","cross_cats_sorted":[],"title_canon_sha256":"c71082f065d4baae0e56b171f865586779ef06a418f1026c7e985bfccc6afc50","abstract_canon_sha256":"99dfb21e58552d050c2d93f15821867a0731004b78182268585a8343bb6e4df7"},"schema_version":"1.0"},"canonical_sha256":"8233c443ce0ed38c147840056ecc0f32c03b6082520ea22cb1efb62ef19993c0","source":{"kind":"arxiv","id":"2406.10784","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2406.10784","created_at":"2026-07-05T11:15:37Z"},{"alias_kind":"arxiv_version","alias_value":"2406.10784v2","created_at":"2026-07-05T11:15:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2406.10784","created_at":"2026-07-05T11:15:37Z"},{"alias_kind":"pith_short_12","alias_value":"QIZ4IQ6OB3JY","created_at":"2026-07-05T11:15:37Z"},{"alias_kind":"pith_short_16","alias_value":"QIZ4IQ6OB3JYYFDY","created_at":"2026-07-05T11:15:37Z"},{"alias_kind":"pith_short_8","alias_value":"QIZ4IQ6O","created_at":"2026-07-05T11:15:37Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:QIZ4IQ6OB3JYYFDYIACW5TAPGL","target":"record","payload":{"canonical_record":{"source":{"id":"2406.10784","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2024-06-16T02:51:03Z","cross_cats_sorted":[],"title_canon_sha256":"c71082f065d4baae0e56b171f865586779ef06a418f1026c7e985bfccc6afc50","abstract_canon_sha256":"99dfb21e58552d050c2d93f15821867a0731004b78182268585a8343bb6e4df7"},"schema_version":"1.0"},"canonical_sha256":"8233c443ce0ed38c147840056ecc0f32c03b6082520ea22cb1efb62ef19993c0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:15:37.891034Z","signature_b64":"laomYHzZ0VSDmQ6ALBQFS5Uq0NbwfFpXwwVIwZ3aXgVr2nSZ8vAgWyXkQ/fGdRfQHa3XGw2kicawglqvfEJfAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8233c443ce0ed38c147840056ecc0f32c03b6082520ea22cb1efb62ef19993c0","last_reissued_at":"2026-07-05T11:15:37.890468Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:15:37.890468Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2406.10784","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T11:15:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7Kvrx5L4f8+x4udidvVTgvDpUVOF0s0BriFOJNM4naYMos5drhMjnC5qqeG9VPdjWacnpyFbuCZfYLQcRd8ECg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T00:03:47.119253Z"},"content_sha256":"5902d2352c45d795bce5551c430feb45322b0ce2a782f04e60f25da1f6e4cf32","schema_version":"1.0","event_id":"sha256:5902d2352c45d795bce5551c430feb45322b0ce2a782f04e60f25da1f6e4cf32"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:QIZ4IQ6OB3JYYFDYIACW5TAPGL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Braid Group Action and Quantum Queer Superalgebra","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.QA","authors_text":"Hongying Zhu, Jianmin Chen, Zhenhua Li","submitted_at":"2024-06-16T02:51:03Z","abstract_excerpt":"In this paper, we present explicit actions of braid group on the universal enveloping superalgebra ${\\boldsymbol U}(\\mathfrak{{q}}_n)$ and the quantum queer superalgebra ${\\boldsymbol U}_{\\!{v}}(\\mathfrak{{q}}_{n})$. Then we provide a new definition of root vectors and some explicit expression for them. With these procedures, we obtain the PBW-type basis containing the product of root vectors."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2406.10784","kind":"arxiv","version":2},"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/2406.10784/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":"2026-07-05T11:15:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EgrVFU6TOUg+9Dp1sBp2JspK8rQn/OEVuVUmhKeI2CDUdmac9xI3wfGOSR01xYdU8pUoHVVV4MUi8qn+1QpnBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T00:03:47.120138Z"},"content_sha256":"a445a0b815a0258a6aa6fe6b7a40d85f92ee59f586c3c3cd5d8c801cc1f5388f","schema_version":"1.0","event_id":"sha256:a445a0b815a0258a6aa6fe6b7a40d85f92ee59f586c3c3cd5d8c801cc1f5388f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QIZ4IQ6OB3JYYFDYIACW5TAPGL/bundle.json","state_url":"https://pith.science/pith/QIZ4IQ6OB3JYYFDYIACW5TAPGL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QIZ4IQ6OB3JYYFDYIACW5TAPGL/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":"2026-08-11T00:03:47Z","links":{"resolver":"https://pith.science/pith/QIZ4IQ6OB3JYYFDYIACW5TAPGL","bundle":"https://pith.science/pith/QIZ4IQ6OB3JYYFDYIACW5TAPGL/bundle.json","state":"https://pith.science/pith/QIZ4IQ6OB3JYYFDYIACW5TAPGL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QIZ4IQ6OB3JYYFDYIACW5TAPGL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:QIZ4IQ6OB3JYYFDYIACW5TAPGL","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":"99dfb21e58552d050c2d93f15821867a0731004b78182268585a8343bb6e4df7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2024-06-16T02:51:03Z","title_canon_sha256":"c71082f065d4baae0e56b171f865586779ef06a418f1026c7e985bfccc6afc50"},"schema_version":"1.0","source":{"id":"2406.10784","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2406.10784","created_at":"2026-07-05T11:15:37Z"},{"alias_kind":"arxiv_version","alias_value":"2406.10784v2","created_at":"2026-07-05T11:15:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2406.10784","created_at":"2026-07-05T11:15:37Z"},{"alias_kind":"pith_short_12","alias_value":"QIZ4IQ6OB3JY","created_at":"2026-07-05T11:15:37Z"},{"alias_kind":"pith_short_16","alias_value":"QIZ4IQ6OB3JYYFDY","created_at":"2026-07-05T11:15:37Z"},{"alias_kind":"pith_short_8","alias_value":"QIZ4IQ6O","created_at":"2026-07-05T11:15:37Z"}],"graph_snapshots":[{"event_id":"sha256:a445a0b815a0258a6aa6fe6b7a40d85f92ee59f586c3c3cd5d8c801cc1f5388f","target":"graph","created_at":"2026-07-05T11:15:37Z","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/2406.10784/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper, we present explicit actions of braid group on the universal enveloping superalgebra ${\\boldsymbol U}(\\mathfrak{{q}}_n)$ and the quantum queer superalgebra ${\\boldsymbol U}_{\\!{v}}(\\mathfrak{{q}}_{n})$. Then we provide a new definition of root vectors and some explicit expression for them. With these procedures, we obtain the PBW-type basis containing the product of root vectors.","authors_text":"Hongying Zhu, Jianmin Chen, Zhenhua Li","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2024-06-16T02:51:03Z","title":"Braid Group Action and Quantum Queer Superalgebra"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2406.10784","kind":"arxiv","version":2},"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":"sha256:5902d2352c45d795bce5551c430feb45322b0ce2a782f04e60f25da1f6e4cf32","target":"record","created_at":"2026-07-05T11:15:37Z","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":"99dfb21e58552d050c2d93f15821867a0731004b78182268585a8343bb6e4df7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2024-06-16T02:51:03Z","title_canon_sha256":"c71082f065d4baae0e56b171f865586779ef06a418f1026c7e985bfccc6afc50"},"schema_version":"1.0","source":{"id":"2406.10784","kind":"arxiv","version":2}},"canonical_sha256":"8233c443ce0ed38c147840056ecc0f32c03b6082520ea22cb1efb62ef19993c0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8233c443ce0ed38c147840056ecc0f32c03b6082520ea22cb1efb62ef19993c0","first_computed_at":"2026-07-05T11:15:37.890468Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:15:37.890468Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"laomYHzZ0VSDmQ6ALBQFS5Uq0NbwfFpXwwVIwZ3aXgVr2nSZ8vAgWyXkQ/fGdRfQHa3XGw2kicawglqvfEJfAQ==","signature_status":"signed_v1","signed_at":"2026-07-05T11:15:37.891034Z","signed_message":"canonical_sha256_bytes"},"source_id":"2406.10784","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5902d2352c45d795bce5551c430feb45322b0ce2a782f04e60f25da1f6e4cf32","sha256:a445a0b815a0258a6aa6fe6b7a40d85f92ee59f586c3c3cd5d8c801cc1f5388f"],"state_sha256":"e5821b5c599dc8f47e6bc01fb81aac299260cff562441a2a6b7948cc19396797"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wkxKNhGf/XP+s3KeUdDL+EAmwOG5/Oal7r35DBiCI1fFhFzAxHErqyHBg4TL7DRTIDOWYZsLKi1PI6PIBxXBCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-11T00:03:47.125194Z","bundle_sha256":"b18b8fab94069229fb2bbd62b46c31d76da9abd068c9968984a9df45361f9e5e"}}