{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:JZIRRS2SQYJMYV7BISIEQ5OWY4","short_pith_number":"pith:JZIRRS2S","canonical_record":{"source":{"id":"1403.5353","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2014-03-21T03:10:10Z","cross_cats_sorted":[],"title_canon_sha256":"77f891d867f26c9cf7fdd1fd9e7c527ea95e5fea90bf2add769c76ff031d1828","abstract_canon_sha256":"acc3546c5e88f01801ce3fcee49f76b4776e7d8e31b630f8bb10ddd8a55c1092"},"schema_version":"1.0"},"canonical_sha256":"4e5118cb528612cc57e144904875d6c701b81e352832c7092cadb009b97258e8","source":{"kind":"arxiv","id":"1403.5353","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1403.5353","created_at":"2026-05-18T02:55:56Z"},{"alias_kind":"arxiv_version","alias_value":"1403.5353v1","created_at":"2026-05-18T02:55:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.5353","created_at":"2026-05-18T02:55:56Z"},{"alias_kind":"pith_short_12","alias_value":"JZIRRS2SQYJM","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_16","alias_value":"JZIRRS2SQYJMYV7B","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_8","alias_value":"JZIRRS2S","created_at":"2026-05-18T12:28:35Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:JZIRRS2SQYJMYV7BISIEQ5OWY4","target":"record","payload":{"canonical_record":{"source":{"id":"1403.5353","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2014-03-21T03:10:10Z","cross_cats_sorted":[],"title_canon_sha256":"77f891d867f26c9cf7fdd1fd9e7c527ea95e5fea90bf2add769c76ff031d1828","abstract_canon_sha256":"acc3546c5e88f01801ce3fcee49f76b4776e7d8e31b630f8bb10ddd8a55c1092"},"schema_version":"1.0"},"canonical_sha256":"4e5118cb528612cc57e144904875d6c701b81e352832c7092cadb009b97258e8","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:55:56.581288Z","signature_b64":"KHYtQOYeymEHHnIDvTxIwCux2XeILAjrP1d2HE2ioZr+yGJqsRMq/jcknt5Pju7w372dMnrxIJuz19GGS7rGDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4e5118cb528612cc57e144904875d6c701b81e352832c7092cadb009b97258e8","last_reissued_at":"2026-05-18T02:55:56.580752Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:55:56.580752Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1403.5353","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":"2026-05-18T02:55:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ai3HCOR90nb2oO5AXFz9dYwVvbHCc/HefdE9hqAfaeziF2PukPbm8r/2FpVI9obLB/mztVRiVhG202lZH/j7BA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T18:15:58.327778Z"},"content_sha256":"06dda4a12565ca14191590b757fbf9e826dd12be6293c85285ece9518de6e5b8","schema_version":"1.0","event_id":"sha256:06dda4a12565ca14191590b757fbf9e826dd12be6293c85285ece9518de6e5b8"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:JZIRRS2SQYJMYV7BISIEQ5OWY4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Bilinear Hilbert transforms associated to plane curves","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CA","authors_text":"Jingwei Guo, Lechao Xiao","submitted_at":"2014-03-21T03:10:10Z","abstract_excerpt":"We prove that the bilinear Hilbert transforms and maximal functions along certain general plane curves are bounded from $L^2(\\mathbb{R})\\times L^2(\\mathbb{R})$ to $L^1(\\mathbb{R})$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.5353","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":""},"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":"2026-05-18T02:55:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jrAPO5U+1owIQUHmGarNFS6odM0hH75nf4eqBSTKpeDg3hiW2hLcRis2Oz6qYNrIo0vvcZJgdktyw0MKGphpAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T18:15:58.328174Z"},"content_sha256":"a28007138072bfd6ad47080e64b05386fc993a6b060125a7380929f3080fa999","schema_version":"1.0","event_id":"sha256:a28007138072bfd6ad47080e64b05386fc993a6b060125a7380929f3080fa999"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JZIRRS2SQYJMYV7BISIEQ5OWY4/bundle.json","state_url":"https://pith.science/pith/JZIRRS2SQYJMYV7BISIEQ5OWY4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JZIRRS2SQYJMYV7BISIEQ5OWY4/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":"2026-06-05T18:15:58Z","links":{"resolver":"https://pith.science/pith/JZIRRS2SQYJMYV7BISIEQ5OWY4","bundle":"https://pith.science/pith/JZIRRS2SQYJMYV7BISIEQ5OWY4/bundle.json","state":"https://pith.science/pith/JZIRRS2SQYJMYV7BISIEQ5OWY4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JZIRRS2SQYJMYV7BISIEQ5OWY4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:JZIRRS2SQYJMYV7BISIEQ5OWY4","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":"acc3546c5e88f01801ce3fcee49f76b4776e7d8e31b630f8bb10ddd8a55c1092","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2014-03-21T03:10:10Z","title_canon_sha256":"77f891d867f26c9cf7fdd1fd9e7c527ea95e5fea90bf2add769c76ff031d1828"},"schema_version":"1.0","source":{"id":"1403.5353","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1403.5353","created_at":"2026-05-18T02:55:56Z"},{"alias_kind":"arxiv_version","alias_value":"1403.5353v1","created_at":"2026-05-18T02:55:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.5353","created_at":"2026-05-18T02:55:56Z"},{"alias_kind":"pith_short_12","alias_value":"JZIRRS2SQYJM","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_16","alias_value":"JZIRRS2SQYJMYV7B","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_8","alias_value":"JZIRRS2S","created_at":"2026-05-18T12:28:35Z"}],"graph_snapshots":[{"event_id":"sha256:a28007138072bfd6ad47080e64b05386fc993a6b060125a7380929f3080fa999","target":"graph","created_at":"2026-05-18T02:55:56Z","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 prove that the bilinear Hilbert transforms and maximal functions along certain general plane curves are bounded from $L^2(\\mathbb{R})\\times L^2(\\mathbb{R})$ to $L^1(\\mathbb{R})$.","authors_text":"Jingwei Guo, Lechao Xiao","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2014-03-21T03:10:10Z","title":"Bilinear Hilbert transforms associated to plane curves"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.5353","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":"sha256:06dda4a12565ca14191590b757fbf9e826dd12be6293c85285ece9518de6e5b8","target":"record","created_at":"2026-05-18T02:55:56Z","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":"acc3546c5e88f01801ce3fcee49f76b4776e7d8e31b630f8bb10ddd8a55c1092","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2014-03-21T03:10:10Z","title_canon_sha256":"77f891d867f26c9cf7fdd1fd9e7c527ea95e5fea90bf2add769c76ff031d1828"},"schema_version":"1.0","source":{"id":"1403.5353","kind":"arxiv","version":1}},"canonical_sha256":"4e5118cb528612cc57e144904875d6c701b81e352832c7092cadb009b97258e8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4e5118cb528612cc57e144904875d6c701b81e352832c7092cadb009b97258e8","first_computed_at":"2026-05-18T02:55:56.580752Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:55:56.580752Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"KHYtQOYeymEHHnIDvTxIwCux2XeILAjrP1d2HE2ioZr+yGJqsRMq/jcknt5Pju7w372dMnrxIJuz19GGS7rGDw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:55:56.581288Z","signed_message":"canonical_sha256_bytes"},"source_id":"1403.5353","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:06dda4a12565ca14191590b757fbf9e826dd12be6293c85285ece9518de6e5b8","sha256:a28007138072bfd6ad47080e64b05386fc993a6b060125a7380929f3080fa999"],"state_sha256":"5bfa940a023400cbe21344c481a9a90700743fc7fdef3b6b9d4d496a0c105d79"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wM/ntr+/shywVnfjbvej3a5isCdsomuiugiEVanDXz6ppUMm96qGbPPYfgp8A1sqRCIuT7Vyi5NbcGKMYRnQDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T18:15:58.331625Z","bundle_sha256":"39dcfa0ad7e390ab4695a2331f4f743804b8412379139abf64e76e0263903d3d"}}