{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:Q6W2M5JE2HGT35CS3RG2HH3OI6","short_pith_number":"pith:Q6W2M5JE","canonical_record":{"source":{"id":"1608.00156","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2016-07-30T19:20:34Z","cross_cats_sorted":[],"title_canon_sha256":"8133994ba1302c0f51dd445b9f89a645ab679a975d6023fb169f7a27ed8f42dd","abstract_canon_sha256":"c0e7e1d0863d24be146404689cbd0ed80f7ed9859140932ec91ca4dbd2201860"},"schema_version":"1.0"},"canonical_sha256":"87ada67524d1cd3df452dc4da39f6e47ad516fe23ebd6e552dd1524241a9aa99","source":{"kind":"arxiv","id":"1608.00156","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1608.00156","created_at":"2026-07-05T00:32:20Z"},{"alias_kind":"arxiv_version","alias_value":"1608.00156v2","created_at":"2026-07-05T00:32:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1608.00156","created_at":"2026-07-05T00:32:20Z"},{"alias_kind":"pith_short_12","alias_value":"Q6W2M5JE2HGT","created_at":"2026-07-05T00:32:20Z"},{"alias_kind":"pith_short_16","alias_value":"Q6W2M5JE2HGT35CS","created_at":"2026-07-05T00:32:20Z"},{"alias_kind":"pith_short_8","alias_value":"Q6W2M5JE","created_at":"2026-07-05T00:32:20Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:Q6W2M5JE2HGT35CS3RG2HH3OI6","target":"record","payload":{"canonical_record":{"source":{"id":"1608.00156","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2016-07-30T19:20:34Z","cross_cats_sorted":[],"title_canon_sha256":"8133994ba1302c0f51dd445b9f89a645ab679a975d6023fb169f7a27ed8f42dd","abstract_canon_sha256":"c0e7e1d0863d24be146404689cbd0ed80f7ed9859140932ec91ca4dbd2201860"},"schema_version":"1.0"},"canonical_sha256":"87ada67524d1cd3df452dc4da39f6e47ad516fe23ebd6e552dd1524241a9aa99","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T00:32:20.145932Z","signature_b64":"NOr3ZBBeaGcRQwD4HyAt5KDGS1jeTPClRjAKODTNX7sZU3DX3hnimju3Nu7giE0Wr2NG1mdgpRPZ83GYZnVcCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"87ada67524d1cd3df452dc4da39f6e47ad516fe23ebd6e552dd1524241a9aa99","last_reissued_at":"2026-07-05T00:32:20.145547Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T00:32:20.145547Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1608.00156","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T00:32:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oVK4PnQfF85a5ZjqLQnDmoW0COcqFwyBss5J0yOcs2IL3y34OIXtSlh482GWhEcHxm6DzOp8pPI8R9qa9e7wAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T06:12:38.683940Z"},"content_sha256":"6cbd6f5a4df01302d5488e85f3845a92ca0714243f68f8b6b1b27e270af4c247","schema_version":"1.0","event_id":"sha256:6cbd6f5a4df01302d5488e85f3845a92ca0714243f68f8b6b1b27e270af4c247"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:Q6W2M5JE2HGT35CS3RG2HH3OI6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Power-type cancellation for the simplex Hilbert transform","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CA","authors_text":"Christoph Thiele, Polona Durcik, Vjekoslav Kova\\v{c}","submitted_at":"2016-07-30T19:20:34Z","abstract_excerpt":"We prove $\\mathrm{L}^p$ bounds for the truncated simplex Hilbert transform which grow with a power less than one of the truncation range in the logarithmic scale."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1608.00156","kind":"arxiv","version":2},"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/1608.00156/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":"2026-07-05T00:32:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QZdlqoPTMSao9l+Vbo1KrJbsfTAM16383po+/SfmEX9F+XFBr2lwgJtGzFbMzAGKtcSVonIHuAA6lZT9uT7UCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T06:12:38.684572Z"},"content_sha256":"1c85c31533477c76e179af982e51aa1eae2283a158c6bad706822b55e115cba4","schema_version":"1.0","event_id":"sha256:1c85c31533477c76e179af982e51aa1eae2283a158c6bad706822b55e115cba4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/Q6W2M5JE2HGT35CS3RG2HH3OI6/bundle.json","state_url":"https://pith.science/pith/Q6W2M5JE2HGT35CS3RG2HH3OI6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/Q6W2M5JE2HGT35CS3RG2HH3OI6/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":"2026-08-05T06:12:38Z","links":{"resolver":"https://pith.science/pith/Q6W2M5JE2HGT35CS3RG2HH3OI6","bundle":"https://pith.science/pith/Q6W2M5JE2HGT35CS3RG2HH3OI6/bundle.json","state":"https://pith.science/pith/Q6W2M5JE2HGT35CS3RG2HH3OI6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/Q6W2M5JE2HGT35CS3RG2HH3OI6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:Q6W2M5JE2HGT35CS3RG2HH3OI6","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":"c0e7e1d0863d24be146404689cbd0ed80f7ed9859140932ec91ca4dbd2201860","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2016-07-30T19:20:34Z","title_canon_sha256":"8133994ba1302c0f51dd445b9f89a645ab679a975d6023fb169f7a27ed8f42dd"},"schema_version":"1.0","source":{"id":"1608.00156","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1608.00156","created_at":"2026-07-05T00:32:20Z"},{"alias_kind":"arxiv_version","alias_value":"1608.00156v2","created_at":"2026-07-05T00:32:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1608.00156","created_at":"2026-07-05T00:32:20Z"},{"alias_kind":"pith_short_12","alias_value":"Q6W2M5JE2HGT","created_at":"2026-07-05T00:32:20Z"},{"alias_kind":"pith_short_16","alias_value":"Q6W2M5JE2HGT35CS","created_at":"2026-07-05T00:32:20Z"},{"alias_kind":"pith_short_8","alias_value":"Q6W2M5JE","created_at":"2026-07-05T00:32:20Z"}],"graph_snapshots":[{"event_id":"sha256:1c85c31533477c76e179af982e51aa1eae2283a158c6bad706822b55e115cba4","target":"graph","created_at":"2026-07-05T00:32:20Z","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/1608.00156/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We prove $\\mathrm{L}^p$ bounds for the truncated simplex Hilbert transform which grow with a power less than one of the truncation range in the logarithmic scale.","authors_text":"Christoph Thiele, Polona Durcik, Vjekoslav Kova\\v{c}","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2016-07-30T19:20:34Z","title":"Power-type cancellation for the simplex Hilbert transform"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1608.00156","kind":"arxiv","version":2},"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":"sha256:6cbd6f5a4df01302d5488e85f3845a92ca0714243f68f8b6b1b27e270af4c247","target":"record","created_at":"2026-07-05T00:32:20Z","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":"c0e7e1d0863d24be146404689cbd0ed80f7ed9859140932ec91ca4dbd2201860","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2016-07-30T19:20:34Z","title_canon_sha256":"8133994ba1302c0f51dd445b9f89a645ab679a975d6023fb169f7a27ed8f42dd"},"schema_version":"1.0","source":{"id":"1608.00156","kind":"arxiv","version":2}},"canonical_sha256":"87ada67524d1cd3df452dc4da39f6e47ad516fe23ebd6e552dd1524241a9aa99","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"87ada67524d1cd3df452dc4da39f6e47ad516fe23ebd6e552dd1524241a9aa99","first_computed_at":"2026-07-05T00:32:20.145547Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:32:20.145547Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"NOr3ZBBeaGcRQwD4HyAt5KDGS1jeTPClRjAKODTNX7sZU3DX3hnimju3Nu7giE0Wr2NG1mdgpRPZ83GYZnVcCQ==","signature_status":"signed_v1","signed_at":"2026-07-05T00:32:20.145932Z","signed_message":"canonical_sha256_bytes"},"source_id":"1608.00156","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6cbd6f5a4df01302d5488e85f3845a92ca0714243f68f8b6b1b27e270af4c247","sha256:1c85c31533477c76e179af982e51aa1eae2283a158c6bad706822b55e115cba4"],"state_sha256":"5cd3a42803051609c679364f7f53bdad7bb2881602b6d8bb69d432679fd39e64"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fOOwxLE9zCpbwgQVzFlt5GGV8pOl/PljMZeKGzudDKElGhcg4lukw6hv9i6ED+aT/eeUQ8Z3l12CDvDyW4X2AQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-05T06:12:38.690817Z","bundle_sha256":"8f1133323772569b063de418a6c7b361ecd05b440b7ae15d28bf2854acdb2500"}}