{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:FOCRB3GNZK3KJCBGBXW43A2MQG","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":"45e86a42e339eb0eafb0540589c4691ddb4ddee3944d9c3663ae4fc9e1b078a7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2020-11-06T10:25:22Z","title_canon_sha256":"9253530777396d7066000f40ba44bc53cf3b2e148053dbb42f7a9199774bf782"},"schema_version":"1.0","source":{"id":"2011.03268","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2011.03268","created_at":"2026-07-05T05:02:38Z"},{"alias_kind":"arxiv_version","alias_value":"2011.03268v2","created_at":"2026-07-05T05:02:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2011.03268","created_at":"2026-07-05T05:02:38Z"},{"alias_kind":"pith_short_12","alias_value":"FOCRB3GNZK3K","created_at":"2026-07-05T05:02:38Z"},{"alias_kind":"pith_short_16","alias_value":"FOCRB3GNZK3KJCBG","created_at":"2026-07-05T05:02:38Z"},{"alias_kind":"pith_short_8","alias_value":"FOCRB3GN","created_at":"2026-07-05T05:02:38Z"}],"graph_snapshots":[{"event_id":"sha256:c22746172f986498bdae9a374145ded0c0839c225cdc5a78ce774a908fd11fd2","target":"graph","created_at":"2026-07-05T05:02:38Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2011.03268/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this article, we introduce the notion of periodic de Rham bundles over smooth complex curves. We prove that motivic de Rham bundles over smooth complex curves are periodic. We conjecture that irreducible periodic de Rham bundles over smooth complex curves are motivic. We show that the conjecture holds for rank one objects and rigid objects.","authors_text":"Mao Sheng, Raju Krishnamoorthy","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2020-11-06T10:25:22Z","title":"Periodic de Rham bundles over curves"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2011.03268","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:c1adfd14370f8b624e9296c433426bac72391c802761d3794f13e9db7912ef27","target":"record","created_at":"2026-07-05T05:02:38Z","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":"45e86a42e339eb0eafb0540589c4691ddb4ddee3944d9c3663ae4fc9e1b078a7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2020-11-06T10:25:22Z","title_canon_sha256":"9253530777396d7066000f40ba44bc53cf3b2e148053dbb42f7a9199774bf782"},"schema_version":"1.0","source":{"id":"2011.03268","kind":"arxiv","version":2}},"canonical_sha256":"2b8510eccdcab6a488260dedcd834c81aef9495544d94f4070c2b39e92c12c3a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2b8510eccdcab6a488260dedcd834c81aef9495544d94f4070c2b39e92c12c3a","first_computed_at":"2026-07-05T05:02:38.492036Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:02:38.492036Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"aXByMK5iW1VM91VvGHdSK/5oZVFzYaVj9hcJKbZXUlws2XKB8clIShIxAary3R+7fNdapLG0zMcoBuotZ0SPCQ==","signature_status":"signed_v1","signed_at":"2026-07-05T05:02:38.492543Z","signed_message":"canonical_sha256_bytes"},"source_id":"2011.03268","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c1adfd14370f8b624e9296c433426bac72391c802761d3794f13e9db7912ef27","sha256:c22746172f986498bdae9a374145ded0c0839c225cdc5a78ce774a908fd11fd2"],"state_sha256":"c1e4290d7b963fcc989f233a8cdfdae6a13e1daa754e2923e18cf3c486c58b05"}