{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:6A6Y2HBG5BND6BHNOF4W5ZRE24","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":"7b015d58fa3c686ae455f57a9601ff54da2507f84723f5b78e73d1ed50f2630e","cross_cats_sorted":["math.AG","math.KT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2011-02-08T19:46:27Z","title_canon_sha256":"14abac8acc7b3c29bb517d316de1d78aad3a134a3bac7f60b9abb964f9d0d3c1"},"schema_version":"1.0","source":{"id":"1102.1701","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1102.1701","created_at":"2026-05-18T03:14:39Z"},{"alias_kind":"arxiv_version","alias_value":"1102.1701v2","created_at":"2026-05-18T03:14:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1102.1701","created_at":"2026-05-18T03:14:39Z"},{"alias_kind":"pith_short_12","alias_value":"6A6Y2HBG5BND","created_at":"2026-05-18T12:26:22Z"},{"alias_kind":"pith_short_16","alias_value":"6A6Y2HBG5BND6BHN","created_at":"2026-05-18T12:26:22Z"},{"alias_kind":"pith_short_8","alias_value":"6A6Y2HBG","created_at":"2026-05-18T12:26:22Z"}],"graph_snapshots":[{"event_id":"sha256:953f0798251d2d16fc2baf32b97943271e4b79dbc42ba871b20864f291db1d75","target":"graph","created_at":"2026-05-18T03:14:39Z","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 construct new indecomposable elements in the higher Chow group CH2(A,1) of a principally polarized Abelian surface over a non Archimedean local field, which generalize an element constructed by Collino. These elements are constructed using a generalization, due to Birkenhake and Wilhelm, of a classical construction of Humbert, along with some recent work of Bogomolov, Hassett and Tschinkel on deformations of rational curves on a K3 surface. They can be used to prove the non-Archimedean Hodge-D-conjecture - namely, the surjectivity of the boundary map in the localization sequence - in the ca","authors_text":"Ramesh Sreekantan","cross_cats":["math.AG","math.KT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2011-02-08T19:46:27Z","title":"Higher Chow Cycles on an Abelian Surface and a non-Archimedean analogue of the Hodge-D-conjecture"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1102.1701","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:bef79118ddc6d28c0de100326b879e68fdff0386ad92c60175bbe346e7c77271","target":"record","created_at":"2026-05-18T03:14:39Z","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":"7b015d58fa3c686ae455f57a9601ff54da2507f84723f5b78e73d1ed50f2630e","cross_cats_sorted":["math.AG","math.KT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2011-02-08T19:46:27Z","title_canon_sha256":"14abac8acc7b3c29bb517d316de1d78aad3a134a3bac7f60b9abb964f9d0d3c1"},"schema_version":"1.0","source":{"id":"1102.1701","kind":"arxiv","version":2}},"canonical_sha256":"f03d8d1c26e85a3f04ed71796ee624d7141cd20f2708bf115bb314447c08eefe","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f03d8d1c26e85a3f04ed71796ee624d7141cd20f2708bf115bb314447c08eefe","first_computed_at":"2026-05-18T03:14:39.481101Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:14:39.481101Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"RYc8lxum0roRWbJ2N0DF7le7SgArn2VnYL9qVN2r1PhQ2HdAmSZxtsj1rMgZoBjgCtby09LeRPSNzerwWrtwAg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:14:39.481650Z","signed_message":"canonical_sha256_bytes"},"source_id":"1102.1701","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bef79118ddc6d28c0de100326b879e68fdff0386ad92c60175bbe346e7c77271","sha256:953f0798251d2d16fc2baf32b97943271e4b79dbc42ba871b20864f291db1d75"],"state_sha256":"f9515838a57b3eaf19d1e618904b2f1c99eabf171f98b6c7f860014941cc1bd8"}