{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:AFYBXHWKFTA5HMF3TS7SJ4RDYG","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":"af662ccb0fc31105acc64fe3d878aad709bfd789b6cf45cc3bb2cdf2eab7cd90","cross_cats_sorted":["math.CT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-07-22T15:37:38Z","title_canon_sha256":"7cf5fcd0cc4e17feec356d8b435022dfae9e7e6ca552f195c423986206ec8665"},"schema_version":"1.0","source":{"id":"1407.5906","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1407.5906","created_at":"2026-05-18T01:33:06Z"},{"alias_kind":"arxiv_version","alias_value":"1407.5906v3","created_at":"2026-05-18T01:33:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1407.5906","created_at":"2026-05-18T01:33:06Z"},{"alias_kind":"pith_short_12","alias_value":"AFYBXHWKFTA5","created_at":"2026-05-18T12:28:19Z"},{"alias_kind":"pith_short_16","alias_value":"AFYBXHWKFTA5HMF3","created_at":"2026-05-18T12:28:19Z"},{"alias_kind":"pith_short_8","alias_value":"AFYBXHWK","created_at":"2026-05-18T12:28:19Z"}],"graph_snapshots":[{"event_id":"sha256:fe2f61a1a130ddd93485cbe5407539b63db8e8ab4c20b528df50ffb12a82e689","target":"graph","created_at":"2026-05-18T01:33:06Z","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 develop the theory of Griffiths period map, which relates the classification of smooth projective varieties to the associated Hodge structures, in the framework of Derived Algebraic Geometry. We complete the description of the local period map as a morphism of derived deformation functors, following the path marked by Fiorenza, Manetti and Martinengo. In the end we show how to lift the local period map to a (non-geometric) morphism of derived stacks, in order to construct a global version of that.","authors_text":"Carmelo Di Natale","cross_cats":["math.CT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-07-22T15:37:38Z","title":"A period map for global derived stacks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.5906","kind":"arxiv","version":3},"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":"sha256:50dd96fe4a9bce99a762fdf7d1f509619f99a9981ef620a7c70f06ec2c5354e4","target":"record","created_at":"2026-05-18T01:33:06Z","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":"af662ccb0fc31105acc64fe3d878aad709bfd789b6cf45cc3bb2cdf2eab7cd90","cross_cats_sorted":["math.CT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-07-22T15:37:38Z","title_canon_sha256":"7cf5fcd0cc4e17feec356d8b435022dfae9e7e6ca552f195c423986206ec8665"},"schema_version":"1.0","source":{"id":"1407.5906","kind":"arxiv","version":3}},"canonical_sha256":"01701b9eca2cc1d3b0bb9cbf24f223c1b6f2ab09891fa88230b9ab1cde0d13f1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"01701b9eca2cc1d3b0bb9cbf24f223c1b6f2ab09891fa88230b9ab1cde0d13f1","first_computed_at":"2026-05-18T01:33:06.826196Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:33:06.826196Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ivZExpYV86QWsodkkdQnx/+wggiP0zbUMYF5NvLS877yWEseclyTm1iK3mc+FjDgrDHEks082NSqOQFgMERuBA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:33:06.826648Z","signed_message":"canonical_sha256_bytes"},"source_id":"1407.5906","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:50dd96fe4a9bce99a762fdf7d1f509619f99a9981ef620a7c70f06ec2c5354e4","sha256:fe2f61a1a130ddd93485cbe5407539b63db8e8ab4c20b528df50ffb12a82e689"],"state_sha256":"d1e423ccea8ea4f0f09ac15cd3042076111c5ce558f5487427ddb75e8ee34f33"}