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This paper extends the previous three from (derived) schemes to (derived) Artin stacks. We prove four main results:\n  (a) If $(X,\\omega)$ is a $k$-shifted symplectic derived Artin stack for $k<0$ in the sense of arXiv:1111.3209, then near each $x\\in X$ we can find a 'minimal' smooth atlas $\\varphi:U\\to X$ with $U$ an affine derived scheme, such that $(U,\\varphi^*(\\omega))$ may be written"},"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":"1312.0090","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-11-30T11:21:49Z","cross_cats_sorted":[],"title_canon_sha256":"9e1246bd1ee4b5f3cc4550179467a5ba35e2bf14e960e34af855050efb40c044","abstract_canon_sha256":"0c6a9ba840fc77b3ef7caa7fe647bf2323bde437cc7d4abf3b9dc2310b9fbc92"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T05:04:57.733818Z","signature_b64":"ZyQaVu3F7Rj0l74E9gFcaEcpAmAHGjUG2h7rx64UaNn9Sqsbc9zX0gEPrNteh8DxHB81FgAjgJIaYsz59omaCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3d516297f5642a1e69579e4f53f50456346e74263a636a8a48528ca410d3aaaa","last_reissued_at":"2026-07-05T05:04:57.733386Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T05:04:57.733386Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A 'Darboux Theorem' for shifted symplectic structures on derived Artin stacks, with applications","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Christopher Brav, Dominic Joyce, Oren Ben-Bassat, Vittoria Bussi","submitted_at":"2013-11-30T11:21:49Z","abstract_excerpt":"This is the fifth in a series arXiv:1304.4508, arXiv:1305,6302, arXiv:1211.3259, arXiv:1305.6428 on the '$k$-shifted symplectic derived algebraic geometry' of Pantev, Toen, Vaquie and Vezzosi, arXiv:1111.3209. This paper extends the previous three from (derived) schemes to (derived) Artin stacks. We prove four main results:\n  (a) If $(X,\\omega)$ is a $k$-shifted symplectic derived Artin stack for $k<0$ in the sense of arXiv:1111.3209, then near each $x\\in X$ we can find a 'minimal' smooth atlas $\\varphi:U\\to X$ with $U$ an affine derived scheme, such that $(U,\\varphi^*(\\omega))$ may be written"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1312.0090","kind":"arxiv","version":3},"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/1312.0090/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1312.0090","created_at":"2026-07-05T05:04:57.733444+00:00"},{"alias_kind":"arxiv_version","alias_value":"1312.0090v3","created_at":"2026-07-05T05:04:57.733444+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1312.0090","created_at":"2026-07-05T05:04:57.733444+00:00"},{"alias_kind":"pith_short_12","alias_value":"HVIWFF7VMQVB","created_at":"2026-07-05T05:04:57.733444+00:00"},{"alias_kind":"pith_short_16","alias_value":"HVIWFF7VMQVB42KX","created_at":"2026-07-05T05:04:57.733444+00:00"},{"alias_kind":"pith_short_8","alias_value":"HVIWFF7V","created_at":"2026-07-05T05:04:57.733444+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":3,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2606.30637","citing_title":"Lagrangian correspondences of nonabelian Hodge type and shifted twistor structures","ref_index":71,"is_internal_anchor":false},{"citing_arxiv_id":"2606.30637","citing_title":"Lagrangian correspondences of nonabelian Hodge type and shifted twistor structures","ref_index":71,"is_internal_anchor":false},{"citing_arxiv_id":"2605.25976","citing_title":"Semiorthogonal decompositions for stacks","ref_index":13,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/HVIWFF7VMQVB42KXTZHVH5IEKY","json":"https://pith.science/pith/HVIWFF7VMQVB42KXTZHVH5IEKY.json","graph_json":"https://pith.science/api/pith-number/HVIWFF7VMQVB42KXTZHVH5IEKY/graph.json","events_json":"https://pith.science/api/pith-number/HVIWFF7VMQVB42KXTZHVH5IEKY/events.json","paper":"https://pith.science/paper/HVIWFF7V"},"agent_actions":{"view_html":"https://pith.science/pith/HVIWFF7VMQVB42KXTZHVH5IEKY","download_json":"https://pith.science/pith/HVIWFF7VMQVB42KXTZHVH5IEKY.json","view_paper":"https://pith.science/paper/HVIWFF7V","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1312.0090&json=true","fetch_graph":"https://pith.science/api/pith-number/HVIWFF7VMQVB42KXTZHVH5IEKY/graph.json","fetch_events":"https://pith.science/api/pith-number/HVIWFF7VMQVB42KXTZHVH5IEKY/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/HVIWFF7VMQVB42KXTZHVH5IEKY/action/timestamp_anchor","attest_storage":"https://pith.science/pith/HVIWFF7VMQVB42KXTZHVH5IEKY/action/storage_attestation","attest_author":"https://pith.science/pith/HVIWFF7VMQVB42KXTZHVH5IEKY/action/author_attestation","sign_citation":"https://pith.science/pith/HVIWFF7VMQVB42KXTZHVH5IEKY/action/citation_signature","submit_replication":"https://pith.science/pith/HVIWFF7VMQVB42KXTZHVH5IEKY/action/replication_record"}},"created_at":"2026-07-05T05:04:57.733444+00:00","updated_at":"2026-07-05T05:04:57.733444+00:00"}