{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:3YMXLCBPDCECZMDX3FHJKZDNSX","short_pith_number":"pith:3YMXLCBP","canonical_record":{"source":{"id":"2406.19473","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2024-06-27T18:35:54Z","cross_cats_sorted":[],"title_canon_sha256":"b854d9b7b8fdebc49e26c961ed8a7b94a37e1cb23ad385f83699a5682304b2fa","abstract_canon_sha256":"5058e3b0541e3278ab644ee62ceb79c96ff37cea5eb912147fb51ea7281562be"},"schema_version":"1.0"},"canonical_sha256":"de1975882f18882cb077d94e95646d95ec804712bac56f599a5b68a0bfebcb78","source":{"kind":"arxiv","id":"2406.19473","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2406.19473","created_at":"2026-07-05T08:37:40Z"},{"alias_kind":"arxiv_version","alias_value":"2406.19473v1","created_at":"2026-07-05T08:37:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2406.19473","created_at":"2026-07-05T08:37:40Z"},{"alias_kind":"pith_short_12","alias_value":"3YMXLCBPDCEC","created_at":"2026-07-05T08:37:40Z"},{"alias_kind":"pith_short_16","alias_value":"3YMXLCBPDCECZMDX","created_at":"2026-07-05T08:37:40Z"},{"alias_kind":"pith_short_8","alias_value":"3YMXLCBP","created_at":"2026-07-05T08:37:40Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:3YMXLCBPDCECZMDX3FHJKZDNSX","target":"record","payload":{"canonical_record":{"source":{"id":"2406.19473","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2024-06-27T18:35:54Z","cross_cats_sorted":[],"title_canon_sha256":"b854d9b7b8fdebc49e26c961ed8a7b94a37e1cb23ad385f83699a5682304b2fa","abstract_canon_sha256":"5058e3b0541e3278ab644ee62ceb79c96ff37cea5eb912147fb51ea7281562be"},"schema_version":"1.0"},"canonical_sha256":"de1975882f18882cb077d94e95646d95ec804712bac56f599a5b68a0bfebcb78","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T08:37:40.032773Z","signature_b64":"+oq869BpAYsSZBOzJD9eM6t6wBa9NbMFJezdG+Le/Rm3fV51dRO3N2cTCMPDJDYQI4ImFvJeA/PcFcP5FdfTBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"de1975882f18882cb077d94e95646d95ec804712bac56f599a5b68a0bfebcb78","last_reissued_at":"2026-07-05T08:37:40.032295Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T08:37:40.032295Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2406.19473","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T08:37:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7Jj1jSCodaeDT2omN59lDUEgAZXaSLTkp6hGQD1xKYnnrbmHnw2KI9j28fL0tNo5JJVHwI1LrZVuOMotABvWCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-13T09:02:01.543336Z"},"content_sha256":"8c88976dce9bbc433db17b81eb52f177a81f8eab6bca0c31efad25e190460ce8","schema_version":"1.0","event_id":"sha256:8c88976dce9bbc433db17b81eb52f177a81f8eab6bca0c31efad25e190460ce8"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:3YMXLCBPDCECZMDX3FHJKZDNSX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Restricted projections and Fourier decoupling in $\\mathbb{Q}_p^n$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CA","authors_text":"Ben Johnsrude, Zuo Lin","submitted_at":"2024-06-27T18:35:54Z","abstract_excerpt":"We prove a restricted projection theorem for Borel subsets of $\\mathbb{Q}_p^n$ in the regime $p>n$. This generalizes results of Gan-Guo-Wang in the real setting. Our result is effective in the sense that explicit constants are obtained for various covering numbers. Along the way, we prove a fully explicit Fourier decoupling theorem for the moment curve in $p$-adic Cartesian space."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2406.19473","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2406.19473/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T08:37:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"l6cb0dRytJP71ZGXtsGVwRVs7fDQzEGDQjd2AyYMy5ihy/SAL3JzYyboq49NDnVeF9ur9kcO7WnNIOgIPWWZBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-13T09:02:01.543706Z"},"content_sha256":"4ce0e6918b53146aa1dbff14d9d3eab0d9ed480594b063c084de34696afc9a84","schema_version":"1.0","event_id":"sha256:4ce0e6918b53146aa1dbff14d9d3eab0d9ed480594b063c084de34696afc9a84"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3YMXLCBPDCECZMDX3FHJKZDNSX/bundle.json","state_url":"https://pith.science/pith/3YMXLCBPDCECZMDX3FHJKZDNSX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3YMXLCBPDCECZMDX3FHJKZDNSX/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-07-13T09:02:01Z","links":{"resolver":"https://pith.science/pith/3YMXLCBPDCECZMDX3FHJKZDNSX","bundle":"https://pith.science/pith/3YMXLCBPDCECZMDX3FHJKZDNSX/bundle.json","state":"https://pith.science/pith/3YMXLCBPDCECZMDX3FHJKZDNSX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3YMXLCBPDCECZMDX3FHJKZDNSX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:3YMXLCBPDCECZMDX3FHJKZDNSX","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":"5058e3b0541e3278ab644ee62ceb79c96ff37cea5eb912147fb51ea7281562be","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2024-06-27T18:35:54Z","title_canon_sha256":"b854d9b7b8fdebc49e26c961ed8a7b94a37e1cb23ad385f83699a5682304b2fa"},"schema_version":"1.0","source":{"id":"2406.19473","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2406.19473","created_at":"2026-07-05T08:37:40Z"},{"alias_kind":"arxiv_version","alias_value":"2406.19473v1","created_at":"2026-07-05T08:37:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2406.19473","created_at":"2026-07-05T08:37:40Z"},{"alias_kind":"pith_short_12","alias_value":"3YMXLCBPDCEC","created_at":"2026-07-05T08:37:40Z"},{"alias_kind":"pith_short_16","alias_value":"3YMXLCBPDCECZMDX","created_at":"2026-07-05T08:37:40Z"},{"alias_kind":"pith_short_8","alias_value":"3YMXLCBP","created_at":"2026-07-05T08:37:40Z"}],"graph_snapshots":[{"event_id":"sha256:4ce0e6918b53146aa1dbff14d9d3eab0d9ed480594b063c084de34696afc9a84","target":"graph","created_at":"2026-07-05T08:37:40Z","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/2406.19473/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We prove a restricted projection theorem for Borel subsets of $\\mathbb{Q}_p^n$ in the regime $p>n$. This generalizes results of Gan-Guo-Wang in the real setting. Our result is effective in the sense that explicit constants are obtained for various covering numbers. Along the way, we prove a fully explicit Fourier decoupling theorem for the moment curve in $p$-adic Cartesian space.","authors_text":"Ben Johnsrude, Zuo Lin","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2024-06-27T18:35:54Z","title":"Restricted projections and Fourier decoupling in $\\mathbb{Q}_p^n$"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2406.19473","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":"sha256:8c88976dce9bbc433db17b81eb52f177a81f8eab6bca0c31efad25e190460ce8","target":"record","created_at":"2026-07-05T08:37:40Z","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":"5058e3b0541e3278ab644ee62ceb79c96ff37cea5eb912147fb51ea7281562be","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2024-06-27T18:35:54Z","title_canon_sha256":"b854d9b7b8fdebc49e26c961ed8a7b94a37e1cb23ad385f83699a5682304b2fa"},"schema_version":"1.0","source":{"id":"2406.19473","kind":"arxiv","version":1}},"canonical_sha256":"de1975882f18882cb077d94e95646d95ec804712bac56f599a5b68a0bfebcb78","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"de1975882f18882cb077d94e95646d95ec804712bac56f599a5b68a0bfebcb78","first_computed_at":"2026-07-05T08:37:40.032295Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:37:40.032295Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+oq869BpAYsSZBOzJD9eM6t6wBa9NbMFJezdG+Le/Rm3fV51dRO3N2cTCMPDJDYQI4ImFvJeA/PcFcP5FdfTBA==","signature_status":"signed_v1","signed_at":"2026-07-05T08:37:40.032773Z","signed_message":"canonical_sha256_bytes"},"source_id":"2406.19473","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8c88976dce9bbc433db17b81eb52f177a81f8eab6bca0c31efad25e190460ce8","sha256:4ce0e6918b53146aa1dbff14d9d3eab0d9ed480594b063c084de34696afc9a84"],"state_sha256":"ad1f7c6ce949834d46f2ad6418f0883f4bafdb72ff51b5ca8351711ee62dbd6c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"r2rAWvaGa9wmVAzkfo8MvPWQW5+0ZZq1Blxz3g4rEF/wBbaKoKyqmHbKPY533Lypqr8l6wHzZ1XDUQPtB1WLAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-13T09:02:01.545755Z","bundle_sha256":"a5fc155cb50bb09e19c684f7f115d5081561cbe4366fa8228acf10f725d90c72"}}