{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:ZTNOJHRVZXY2UIAOXWEEATECNJ","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":"210d87eb6b172684974174837368e22c964747e75e26a4fe0ba1a779ab9ec895","cross_cats_sorted":["hep-th","math-ph","math.AG","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2025-06-11T13:35:59Z","title_canon_sha256":"85e150a350569650e5abedac3612c601229ea95eca667b665619035738c9ba24"},"schema_version":"1.0","source":{"id":"2506.09728","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2506.09728","created_at":"2026-07-05T11:19:55Z"},{"alias_kind":"arxiv_version","alias_value":"2506.09728v1","created_at":"2026-07-05T11:19:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2506.09728","created_at":"2026-07-05T11:19:55Z"},{"alias_kind":"pith_short_12","alias_value":"ZTNOJHRVZXY2","created_at":"2026-07-05T11:19:55Z"},{"alias_kind":"pith_short_16","alias_value":"ZTNOJHRVZXY2UIAO","created_at":"2026-07-05T11:19:55Z"},{"alias_kind":"pith_short_8","alias_value":"ZTNOJHRV","created_at":"2026-07-05T11:19:55Z"}],"graph_snapshots":[{"event_id":"sha256:7f3ade1c2838e3870cd74a31857237b060c1775be417e7013cec5c13b3b10dcb","target":"graph","created_at":"2026-07-05T11:19:55Z","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/2506.09728/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Vertex algebras are equivalent to translation-equivariant chiral algebras on $\\mathbb{A}^1$, in the sense of Beilinson and Drinfeld. In this paper we give an algebraic construction of a chiral algebra on $\\mathbb{A}^n$; this can be seen as an algebraic construction of a higher-dimensional vertex algebra.\n  We introduce a model, in dg commutative algebras, of the derived algebra of functions on the configuration space of $k$ distinct labelled marked points in $\\mathbb{A}^n$. Working in this model -- which we call the polysimplicial model -- we obtain a dg operad of chiral operations on a degree","authors_text":"Charles A. S. Young, Laura O. Felder, Zhengping Gui","cross_cats":["hep-th","math-ph","math.AG","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2025-06-11T13:35:59Z","title":"Higher Chiral Algebras in a Polysimplicial Model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2506.09728","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":"sha256:34bfa8d5efce3e8447f40fb3c4ffa96fe0365de9e70d384e48270dfd7571a85a","target":"record","created_at":"2026-07-05T11:19:55Z","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":"210d87eb6b172684974174837368e22c964747e75e26a4fe0ba1a779ab9ec895","cross_cats_sorted":["hep-th","math-ph","math.AG","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2025-06-11T13:35:59Z","title_canon_sha256":"85e150a350569650e5abedac3612c601229ea95eca667b665619035738c9ba24"},"schema_version":"1.0","source":{"id":"2506.09728","kind":"arxiv","version":1}},"canonical_sha256":"ccdae49e35cdf1aa200ebd88404c826a69ec83fc5fc87efa53ff74f1a4b68bd3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ccdae49e35cdf1aa200ebd88404c826a69ec83fc5fc87efa53ff74f1a4b68bd3","first_computed_at":"2026-07-05T11:19:55.937070Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:19:55.937070Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"YywR7vr+lEROyhvsp+AI6NmZvgx7ZeZ/+o7kknaWD/S+65qESsl2xvN+lT6+0jlTVEruw/4jq7AxrZ8zjei2AQ==","signature_status":"signed_v1","signed_at":"2026-07-05T11:19:55.937589Z","signed_message":"canonical_sha256_bytes"},"source_id":"2506.09728","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:34bfa8d5efce3e8447f40fb3c4ffa96fe0365de9e70d384e48270dfd7571a85a","sha256:7f3ade1c2838e3870cd74a31857237b060c1775be417e7013cec5c13b3b10dcb"],"state_sha256":"53d6133314a22be8c9c426dcedd15a10022292f87f4a6e7254868c228f7a38d1"}