{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:SEPPL3VUIGKD2SKHARFWQ2DMU6","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":"ebe798911e1d0dfdb4c1fff3d311dfa65197a944df8c1aec7cf9b0678817c4fe","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2020-10-05T18:06:37Z","title_canon_sha256":"72ca31741f7b8cccb52899d07ffb0f6ccb785a2dfc7e70030b3f11fc3fab7401"},"schema_version":"1.0","source":{"id":"2010.02251","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2010.02251","created_at":"2026-07-05T01:40:48Z"},{"alias_kind":"arxiv_version","alias_value":"2010.02251v1","created_at":"2026-07-05T01:40:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2010.02251","created_at":"2026-07-05T01:40:48Z"},{"alias_kind":"pith_short_12","alias_value":"SEPPL3VUIGKD","created_at":"2026-07-05T01:40:48Z"},{"alias_kind":"pith_short_16","alias_value":"SEPPL3VUIGKD2SKH","created_at":"2026-07-05T01:40:48Z"},{"alias_kind":"pith_short_8","alias_value":"SEPPL3VU","created_at":"2026-07-05T01:40:48Z"}],"graph_snapshots":[{"event_id":"sha256:920fcbe5c57f97355e994b0baa594fb29415b0f897969f18010cb81efadf28ad","target":"graph","created_at":"2026-07-05T01:40:48Z","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/2010.02251/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This note records an asymptotic improvement on the known $L^p$ range for the Fourier restriction conjecture in high dimensions. This is obtained by combining Guth's polynomial partitioning method with recent geometric results regarding intersections of tubes with nested families of varieties.","authors_text":"Jonathan Hickman, Joshua Zahl","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2020-10-05T18:06:37Z","title":"A note on Fourier restriction and nested Polynomial Wolff axioms"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2010.02251","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:b0b4b61d39a0af902122bc3b76fa3a3a60fbcc6086f6951065e3f67b270fce12","target":"record","created_at":"2026-07-05T01:40:48Z","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":"ebe798911e1d0dfdb4c1fff3d311dfa65197a944df8c1aec7cf9b0678817c4fe","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2020-10-05T18:06:37Z","title_canon_sha256":"72ca31741f7b8cccb52899d07ffb0f6ccb785a2dfc7e70030b3f11fc3fab7401"},"schema_version":"1.0","source":{"id":"2010.02251","kind":"arxiv","version":1}},"canonical_sha256":"911ef5eeb441943d4947044b68686ca78d08edfe0d01d145f9d2e7821f604d86","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"911ef5eeb441943d4947044b68686ca78d08edfe0d01d145f9d2e7821f604d86","first_computed_at":"2026-07-05T01:40:48.193898Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T01:40:48.193898Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"DYNFsSDDBxlgl2hiWIVuBhjpcjZaRXxLFi8WOOq/mmnfuu7AC0GFmapH+ovwWsNIgZ5gfhZItV4rf48NGDWGCg==","signature_status":"signed_v1","signed_at":"2026-07-05T01:40:48.194283Z","signed_message":"canonical_sha256_bytes"},"source_id":"2010.02251","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b0b4b61d39a0af902122bc3b76fa3a3a60fbcc6086f6951065e3f67b270fce12","sha256:920fcbe5c57f97355e994b0baa594fb29415b0f897969f18010cb81efadf28ad"],"state_sha256":"efd0444d87d1134aa4dceb887467837df062665984e2cd05f6e783453206907b"}