{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:L3WGJ3TBFUU3ZSY7BGVASNUXVS","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":"fc0f873c21bcac442246e2effa792466c2772e0d2acb2654323ac340babaf0c6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2016-01-19T08:17:54Z","title_canon_sha256":"fbf0727946af656a8bbcbb7cd0c4f3dc334b3d0d5adbe093236a1a7ff7bd1343"},"schema_version":"1.0","source":{"id":"1601.04819","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1601.04819","created_at":"2026-05-18T00:35:14Z"},{"alias_kind":"arxiv_version","alias_value":"1601.04819v2","created_at":"2026-05-18T00:35:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1601.04819","created_at":"2026-05-18T00:35:14Z"},{"alias_kind":"pith_short_12","alias_value":"L3WGJ3TBFUU3","created_at":"2026-05-18T12:30:29Z"},{"alias_kind":"pith_short_16","alias_value":"L3WGJ3TBFUU3ZSY7","created_at":"2026-05-18T12:30:29Z"},{"alias_kind":"pith_short_8","alias_value":"L3WGJ3TB","created_at":"2026-05-18T12:30:29Z"}],"graph_snapshots":[{"event_id":"sha256:bb23b599574ab4470f4b3d80af380ab8de59bc982954ffaa43aa11360b04709d","target":"graph","created_at":"2026-05-18T00:35:14Z","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":"For each holomorphic vector bundle we construct a holomorphic bundle 2-gerbe that geometrically represents its second Beilinson-Chern class. Applied to the cotangent bundle, this may be regarded as a higher analogue of the canonical line bundle in complex geometry. Moreover, we exhibit the precise relationship between holomorphic and smooth gerbes. For example, we introduce an Atiyah class for gerbes and prove a Koszul-Malgrange type theorem.","authors_text":"Markus Upmeier","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2016-01-19T08:17:54Z","title":"The Canonical 2-Gerbe of a Holomorphic Vector Bundle"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.04819","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:cb60dc31970f71ae8b5657475b55cbfff479b12a0db17fe92c101ad6b7f235e6","target":"record","created_at":"2026-05-18T00:35:14Z","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":"fc0f873c21bcac442246e2effa792466c2772e0d2acb2654323ac340babaf0c6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2016-01-19T08:17:54Z","title_canon_sha256":"fbf0727946af656a8bbcbb7cd0c4f3dc334b3d0d5adbe093236a1a7ff7bd1343"},"schema_version":"1.0","source":{"id":"1601.04819","kind":"arxiv","version":2}},"canonical_sha256":"5eec64ee612d29bccb1f09aa093697acb0813871a2adae09524ad6f4b950e292","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5eec64ee612d29bccb1f09aa093697acb0813871a2adae09524ad6f4b950e292","first_computed_at":"2026-05-18T00:35:14.114877Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:35:14.114877Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"PXVE3VjsfjxrMk6duAludnRMVRJDlb62iXOkzPzxCaLI54pvTgdHFGnm22edi4/e0cRFFP8cqNwAJksmQE8PAA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:35:14.115668Z","signed_message":"canonical_sha256_bytes"},"source_id":"1601.04819","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cb60dc31970f71ae8b5657475b55cbfff479b12a0db17fe92c101ad6b7f235e6","sha256:bb23b599574ab4470f4b3d80af380ab8de59bc982954ffaa43aa11360b04709d"],"state_sha256":"d712528ab87322ef1d6683b391a3159ce2460ab3bd61d8598b8be6e9c78c5eb2"}