{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:7VVYNHMQG3JX5GMJMF5JQXFIYI","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":"1c7b341ac634bd79365a276a5387e5298e8c93cbdf29aa5ebd1993f85f3fbafa","cross_cats_sorted":["math.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2016-10-07T06:48:27Z","title_canon_sha256":"feb04495fcd7c9f2585cf6dcf4a0c0b9386b2c0a3618a1d6d1c31efc237003e0"},"schema_version":"1.0","source":{"id":"1610.02161","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1610.02161","created_at":"2026-05-17T23:49:06Z"},{"alias_kind":"arxiv_version","alias_value":"1610.02161v1","created_at":"2026-05-17T23:49:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.02161","created_at":"2026-05-17T23:49:06Z"},{"alias_kind":"pith_short_12","alias_value":"7VVYNHMQG3JX","created_at":"2026-05-18T12:30:04Z"},{"alias_kind":"pith_short_16","alias_value":"7VVYNHMQG3JX5GMJ","created_at":"2026-05-18T12:30:04Z"},{"alias_kind":"pith_short_8","alias_value":"7VVYNHMQ","created_at":"2026-05-18T12:30:04Z"}],"graph_snapshots":[{"event_id":"sha256:18bbf75536149b4600af2760ee98f13f79711dd49c9c8471bf83ced54a85fb59","target":"graph","created_at":"2026-05-17T23:49:06Z","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 provide an extension of the transference results of Beresnevich and Velani connecting homogeneous and inhomogeneous Diophantine approximation on manifolds and provide bounds for inhomogeneous Diophantine exponents of affine subspaces and their nondegenerate submanifolds.","authors_text":"Anish Ghosh, Antoine Marnat","cross_cats":["math.DS"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2016-10-07T06:48:27Z","title":"On Diophantine transference principles"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.02161","kind":"arxiv","version":1},"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":"sha256:0bf3174629f5404e25fc2ce295a998f35099b9f905d2614b9bcabbe67d8b20a2","target":"record","created_at":"2026-05-17T23:49:06Z","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":"1c7b341ac634bd79365a276a5387e5298e8c93cbdf29aa5ebd1993f85f3fbafa","cross_cats_sorted":["math.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2016-10-07T06:48:27Z","title_canon_sha256":"feb04495fcd7c9f2585cf6dcf4a0c0b9386b2c0a3618a1d6d1c31efc237003e0"},"schema_version":"1.0","source":{"id":"1610.02161","kind":"arxiv","version":1}},"canonical_sha256":"fd6b869d9036d37e9989617a985ca8c23cb7a2716ca308892af02f0e4a659712","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fd6b869d9036d37e9989617a985ca8c23cb7a2716ca308892af02f0e4a659712","first_computed_at":"2026-05-17T23:49:06.450951Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:49:06.450951Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3kPxZW+3yhNA10WnfgMwLsL8QxOLK/ZEK4BFEafc0M2LEepEBxclBhi6H3YfChHEnuQ1qRbHXzx7XgFxX705AQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:49:06.451589Z","signed_message":"canonical_sha256_bytes"},"source_id":"1610.02161","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0bf3174629f5404e25fc2ce295a998f35099b9f905d2614b9bcabbe67d8b20a2","sha256:18bbf75536149b4600af2760ee98f13f79711dd49c9c8471bf83ced54a85fb59"],"state_sha256":"6d7d88c2ca86ff4519a36b8c8524898bd7d01f663debf0f7ca35fdcec0c6d0be"}