{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:XKNFJSJRV7HFRZGISHBKCB64FJ","short_pith_number":"pith:XKNFJSJR","canonical_record":{"source":{"id":"1604.04458","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-04-15T12:19:53Z","cross_cats_sorted":["math.QA"],"title_canon_sha256":"b618e686a524222a0dac873b4f0713dea1fd1bbc9cb104e65ed6d158fd255d92","abstract_canon_sha256":"50ab68c4614d7abe03c743f44a3f70277c39496740997e0ee564f8f463408d49"},"schema_version":"1.0"},"canonical_sha256":"ba9a54c931afce58e4c891c2a107dc2a5fded8055bb53ad0658524d665f01d15","source":{"kind":"arxiv","id":"1604.04458","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.04458","created_at":"2026-05-18T00:18:41Z"},{"alias_kind":"arxiv_version","alias_value":"1604.04458v4","created_at":"2026-05-18T00:18:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.04458","created_at":"2026-05-18T00:18:41Z"},{"alias_kind":"pith_short_12","alias_value":"XKNFJSJRV7HF","created_at":"2026-05-18T12:30:51Z"},{"alias_kind":"pith_short_16","alias_value":"XKNFJSJRV7HFRZGI","created_at":"2026-05-18T12:30:51Z"},{"alias_kind":"pith_short_8","alias_value":"XKNFJSJR","created_at":"2026-05-18T12:30:51Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:XKNFJSJRV7HFRZGISHBKCB64FJ","target":"record","payload":{"canonical_record":{"source":{"id":"1604.04458","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-04-15T12:19:53Z","cross_cats_sorted":["math.QA"],"title_canon_sha256":"b618e686a524222a0dac873b4f0713dea1fd1bbc9cb104e65ed6d158fd255d92","abstract_canon_sha256":"50ab68c4614d7abe03c743f44a3f70277c39496740997e0ee564f8f463408d49"},"schema_version":"1.0"},"canonical_sha256":"ba9a54c931afce58e4c891c2a107dc2a5fded8055bb53ad0658524d665f01d15","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:18:41.743473Z","signature_b64":"AePGZZEpRibX38DgHgY35hooUE4s04zwZv8/95oMi5x06ul0v1A+DgWjIjscEvC5fQoYi3geO0rE/RkKcc6NCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ba9a54c931afce58e4c891c2a107dc2a5fded8055bb53ad0658524d665f01d15","last_reissued_at":"2026-05-18T00:18:41.742796Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:18:41.742796Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1604.04458","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:18:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2U0RD9/tjT1tlcveAX7QbxZxmaZdZiatrwdHOEpLIOd+smf03VHwoTcjmVY9yPlYLKgJvkqydohAZIR7CtOLCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T12:48:29.101130Z"},"content_sha256":"0d95786e2fa9d47313d8d73cd9de4e98e4d185e0f71d54ce6224ad63561a986a","schema_version":"1.0","event_id":"sha256:0d95786e2fa9d47313d8d73cd9de4e98e4d185e0f71d54ce6224ad63561a986a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:XKNFJSJRV7HFRZGISHBKCB64FJ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Deformation quantisation for unshifted symplectic structures on derived Artin stacks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.QA"],"primary_cat":"math.AG","authors_text":"J.P.Pridham","submitted_at":"2016-04-15T12:19:53Z","abstract_excerpt":"We prove that every $0$-shifted symplectic structure on a derived Artin $n$-stack admits a curved $A_{\\infty}$ deformation quantisation. The classical method of quantising smooth varieties via quantisations of affine space does not apply in this setting, so we develop a new approach. We construct a map from DQ algebroid quantisations of unshifted symplectic structures on a derived Artin $n$-stack to power series in de Rham cohomology, depending only on a choice of Drinfeld associator. This gives an equivalence between even power series and certain involutive quantisations, which yield anti-inv"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.04458","kind":"arxiv","version":4},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:18:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BOHMBwRAZ+AVo2cW+F6S+rNjbogon3BSXt6F6ZQ+uX+9dBKIktjK1EltqPOjZ6xoAZRTdlm3EElmm4FjEEH/Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T12:48:29.101486Z"},"content_sha256":"3acbd7db67f39ce8c0f49c107ce165ffc766aaab1e322ba6c9ac7a7174dddd33","schema_version":"1.0","event_id":"sha256:3acbd7db67f39ce8c0f49c107ce165ffc766aaab1e322ba6c9ac7a7174dddd33"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XKNFJSJRV7HFRZGISHBKCB64FJ/bundle.json","state_url":"https://pith.science/pith/XKNFJSJRV7HFRZGISHBKCB64FJ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XKNFJSJRV7HFRZGISHBKCB64FJ/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":"2026-06-24T12:48:29Z","links":{"resolver":"https://pith.science/pith/XKNFJSJRV7HFRZGISHBKCB64FJ","bundle":"https://pith.science/pith/XKNFJSJRV7HFRZGISHBKCB64FJ/bundle.json","state":"https://pith.science/pith/XKNFJSJRV7HFRZGISHBKCB64FJ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XKNFJSJRV7HFRZGISHBKCB64FJ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:XKNFJSJRV7HFRZGISHBKCB64FJ","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":"50ab68c4614d7abe03c743f44a3f70277c39496740997e0ee564f8f463408d49","cross_cats_sorted":["math.QA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-04-15T12:19:53Z","title_canon_sha256":"b618e686a524222a0dac873b4f0713dea1fd1bbc9cb104e65ed6d158fd255d92"},"schema_version":"1.0","source":{"id":"1604.04458","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.04458","created_at":"2026-05-18T00:18:41Z"},{"alias_kind":"arxiv_version","alias_value":"1604.04458v4","created_at":"2026-05-18T00:18:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.04458","created_at":"2026-05-18T00:18:41Z"},{"alias_kind":"pith_short_12","alias_value":"XKNFJSJRV7HF","created_at":"2026-05-18T12:30:51Z"},{"alias_kind":"pith_short_16","alias_value":"XKNFJSJRV7HFRZGI","created_at":"2026-05-18T12:30:51Z"},{"alias_kind":"pith_short_8","alias_value":"XKNFJSJR","created_at":"2026-05-18T12:30:51Z"}],"graph_snapshots":[{"event_id":"sha256:3acbd7db67f39ce8c0f49c107ce165ffc766aaab1e322ba6c9ac7a7174dddd33","target":"graph","created_at":"2026-05-18T00:18:41Z","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"},"paper":{"abstract_excerpt":"We prove that every $0$-shifted symplectic structure on a derived Artin $n$-stack admits a curved $A_{\\infty}$ deformation quantisation. The classical method of quantising smooth varieties via quantisations of affine space does not apply in this setting, so we develop a new approach. We construct a map from DQ algebroid quantisations of unshifted symplectic structures on a derived Artin $n$-stack to power series in de Rham cohomology, depending only on a choice of Drinfeld associator. This gives an equivalence between even power series and certain involutive quantisations, which yield anti-inv","authors_text":"J.P.Pridham","cross_cats":["math.QA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-04-15T12:19:53Z","title":"Deformation quantisation for unshifted symplectic structures on derived Artin stacks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.04458","kind":"arxiv","version":4},"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":"sha256:0d95786e2fa9d47313d8d73cd9de4e98e4d185e0f71d54ce6224ad63561a986a","target":"record","created_at":"2026-05-18T00:18:41Z","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":"50ab68c4614d7abe03c743f44a3f70277c39496740997e0ee564f8f463408d49","cross_cats_sorted":["math.QA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-04-15T12:19:53Z","title_canon_sha256":"b618e686a524222a0dac873b4f0713dea1fd1bbc9cb104e65ed6d158fd255d92"},"schema_version":"1.0","source":{"id":"1604.04458","kind":"arxiv","version":4}},"canonical_sha256":"ba9a54c931afce58e4c891c2a107dc2a5fded8055bb53ad0658524d665f01d15","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ba9a54c931afce58e4c891c2a107dc2a5fded8055bb53ad0658524d665f01d15","first_computed_at":"2026-05-18T00:18:41.742796Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:18:41.742796Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"AePGZZEpRibX38DgHgY35hooUE4s04zwZv8/95oMi5x06ul0v1A+DgWjIjscEvC5fQoYi3geO0rE/RkKcc6NCA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:18:41.743473Z","signed_message":"canonical_sha256_bytes"},"source_id":"1604.04458","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0d95786e2fa9d47313d8d73cd9de4e98e4d185e0f71d54ce6224ad63561a986a","sha256:3acbd7db67f39ce8c0f49c107ce165ffc766aaab1e322ba6c9ac7a7174dddd33"],"state_sha256":"1f88ff8f5b3d89f95db951eb60366ae4c25fe6208757029f2ece11f8828be900"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"t7l7XknQf1jFdeIkmA+W611lMcp1eHN5ngug4W3988lLNJpS1OoDmIQbFOappsuv6RzFxzWJB4PPskXtZD0VAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-24T12:48:29.103406Z","bundle_sha256":"a3addac4830f55c2832ece8f85c7474507166a701b14897bf5db489cd56d9354"}}