{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:GLTCFJSWXXIQYM2NPTXIKWVSAW","short_pith_number":"pith:GLTCFJSW","schema_version":"1.0","canonical_sha256":"32e622a656bdd10c334d7cee855ab2059699905298d30ef705fde731e84d253c","source":{"kind":"arxiv","id":"1501.02039","version":1},"attestation_state":"computed","paper":{"title":"Bimodule and twisted representation of vertex operator algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Qifen Jiang, Xiangyu Jiao","submitted_at":"2015-01-09T04:14:09Z","abstract_excerpt":"In this paper, for a vertex operator algebra $V$ with an automorphism $g$ of order $T,$ an admissible $V$-module $M$ and a fixed nonnegative rational number $n\\in\\frac{1}{T}\\Bbb{Z}_{+},$ we construct an $A_{g,n}(V)$-bimodule $\\AA_{g,n}(M)$ and study its some properties, discuss the connections between bimodule $\\AA_{g,n}(M)$ and intertwining operators. Especially, bimodule $\\AA_{g,n-\\frac{1}{T}}(M)$ is a natural quotient of $\\AA_{g,n}(M)$ and there is a linear isomorphism between the space ${\\cal I}_{M\\,M^j}^{M^k}$ of intertwining operators and the space of homomorphisms $\\rm{Hom}_{A_{g,n}(V)}"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1501.02039","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2015-01-09T04:14:09Z","cross_cats_sorted":[],"title_canon_sha256":"6f2d08242e154ed70191e89c752214bfc7b19372aa046c5985f7d679e7dba30b","abstract_canon_sha256":"9d1b3939ad336e9a2a81e9b45b332118f22ea51db745fdf8722086bb7ae2647f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:16:53.367847Z","signature_b64":"TiXYPtBZHHYPVMm7d0H8VrOxbDVD6s9klwLI+O2NPm0cpTQTtkXCrsy6Z6WfloTSMLUXCzCnwYrZcQnOTnrqCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"32e622a656bdd10c334d7cee855ab2059699905298d30ef705fde731e84d253c","last_reissued_at":"2026-05-18T01:16:53.367171Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:16:53.367171Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Bimodule and twisted representation of vertex operator algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Qifen Jiang, Xiangyu Jiao","submitted_at":"2015-01-09T04:14:09Z","abstract_excerpt":"In this paper, for a vertex operator algebra $V$ with an automorphism $g$ of order $T,$ an admissible $V$-module $M$ and a fixed nonnegative rational number $n\\in\\frac{1}{T}\\Bbb{Z}_{+},$ we construct an $A_{g,n}(V)$-bimodule $\\AA_{g,n}(M)$ and study its some properties, discuss the connections between bimodule $\\AA_{g,n}(M)$ and intertwining operators. Especially, bimodule $\\AA_{g,n-\\frac{1}{T}}(M)$ is a natural quotient of $\\AA_{g,n}(M)$ and there is a linear isomorphism between the space ${\\cal I}_{M\\,M^j}^{M^k}$ of intertwining operators and the space of homomorphisms $\\rm{Hom}_{A_{g,n}(V)}"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1501.02039","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1501.02039","created_at":"2026-05-18T01:16:53.367260+00:00"},{"alias_kind":"arxiv_version","alias_value":"1501.02039v1","created_at":"2026-05-18T01:16:53.367260+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1501.02039","created_at":"2026-05-18T01:16:53.367260+00:00"},{"alias_kind":"pith_short_12","alias_value":"GLTCFJSWXXIQ","created_at":"2026-05-18T12:29:22.688609+00:00"},{"alias_kind":"pith_short_16","alias_value":"GLTCFJSWXXIQYM2N","created_at":"2026-05-18T12:29:22.688609+00:00"},{"alias_kind":"pith_short_8","alias_value":"GLTCFJSW","created_at":"2026-05-18T12:29:22.688609+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/GLTCFJSWXXIQYM2NPTXIKWVSAW","json":"https://pith.science/pith/GLTCFJSWXXIQYM2NPTXIKWVSAW.json","graph_json":"https://pith.science/api/pith-number/GLTCFJSWXXIQYM2NPTXIKWVSAW/graph.json","events_json":"https://pith.science/api/pith-number/GLTCFJSWXXIQYM2NPTXIKWVSAW/events.json","paper":"https://pith.science/paper/GLTCFJSW"},"agent_actions":{"view_html":"https://pith.science/pith/GLTCFJSWXXIQYM2NPTXIKWVSAW","download_json":"https://pith.science/pith/GLTCFJSWXXIQYM2NPTXIKWVSAW.json","view_paper":"https://pith.science/paper/GLTCFJSW","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1501.02039&json=true","fetch_graph":"https://pith.science/api/pith-number/GLTCFJSWXXIQYM2NPTXIKWVSAW/graph.json","fetch_events":"https://pith.science/api/pith-number/GLTCFJSWXXIQYM2NPTXIKWVSAW/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/GLTCFJSWXXIQYM2NPTXIKWVSAW/action/timestamp_anchor","attest_storage":"https://pith.science/pith/GLTCFJSWXXIQYM2NPTXIKWVSAW/action/storage_attestation","attest_author":"https://pith.science/pith/GLTCFJSWXXIQYM2NPTXIKWVSAW/action/author_attestation","sign_citation":"https://pith.science/pith/GLTCFJSWXXIQYM2NPTXIKWVSAW/action/citation_signature","submit_replication":"https://pith.science/pith/GLTCFJSWXXIQYM2NPTXIKWVSAW/action/replication_record"}},"created_at":"2026-05-18T01:16:53.367260+00:00","updated_at":"2026-05-18T01:16:53.367260+00:00"}