{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:7MOXCEFBSMOESA6AW74JOBQCTH","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":"9ffa1ea5bd1f996aea96dac5d09ff3716e38c22417f3f7c6caa755caa5ee27fc","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2012-01-05T16:22:35Z","title_canon_sha256":"e7dd5226a3d7b38699dc877f31fe70fe8423dbda06125ba0183c00efe7969cc6"},"schema_version":"1.0","source":{"id":"1201.1210","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1201.1210","created_at":"2026-05-18T04:05:05Z"},{"alias_kind":"arxiv_version","alias_value":"1201.1210v1","created_at":"2026-05-18T04:05:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1201.1210","created_at":"2026-05-18T04:05:05Z"},{"alias_kind":"pith_short_12","alias_value":"7MOXCEFBSMOE","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_16","alias_value":"7MOXCEFBSMOESA6A","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_8","alias_value":"7MOXCEFB","created_at":"2026-05-18T12:26:58Z"}],"graph_snapshots":[{"event_id":"sha256:7b62cf41c250349f8373d22fdc8261f9e182c3dc25e360b9ce8a927733cfc868","target":"graph","created_at":"2026-05-18T04:05:05Z","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":"This paper takes a new step in the direction of proving the Duffin-Schaeffer Conjecture for measures arbitrarily close to Lebesgue. The main result is that under a mild `extra divergence' hypothesis, the conjecture is true.","authors_text":"Alan Haynes, Glyn Harman, Sanju Velani, Victor Beresnevich","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2012-01-05T16:22:35Z","title":"The Duffin-Schaeffer Conjecture with extra divergence II"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1201.1210","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:cb8380da675f68cbd352ea980e5c60f6e67553ac246acb007f856a1c2caeac67","target":"record","created_at":"2026-05-18T04:05:05Z","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":"9ffa1ea5bd1f996aea96dac5d09ff3716e38c22417f3f7c6caa755caa5ee27fc","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2012-01-05T16:22:35Z","title_canon_sha256":"e7dd5226a3d7b38699dc877f31fe70fe8423dbda06125ba0183c00efe7969cc6"},"schema_version":"1.0","source":{"id":"1201.1210","kind":"arxiv","version":1}},"canonical_sha256":"fb1d7110a1931c4903c0b7f897060299e0c5c30d370d1b66ae24ec401e6ffc1a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fb1d7110a1931c4903c0b7f897060299e0c5c30d370d1b66ae24ec401e6ffc1a","first_computed_at":"2026-05-18T04:05:05.707662Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:05:05.707662Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"P57eJEKgy9QrzknTE+lOA8LvmZ9v23K1WZHdf6btTyrq2UJF+gDP0ZQFljvzWBOgTGms7DMPd0cO6ABfRyn7Bg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:05:05.708149Z","signed_message":"canonical_sha256_bytes"},"source_id":"1201.1210","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cb8380da675f68cbd352ea980e5c60f6e67553ac246acb007f856a1c2caeac67","sha256:7b62cf41c250349f8373d22fdc8261f9e182c3dc25e360b9ce8a927733cfc868"],"state_sha256":"e52ec094f7447221d36b7c92fe589954209bf82d027dbd91d2fbc14f024a6924"}