{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:QJLRGAT34ZVRQFWSGM4ZS7ROUH","short_pith_number":"pith:QJLRGAT3","canonical_record":{"source":{"id":"1706.00679","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2017-06-02T13:17:03Z","cross_cats_sorted":["cs.IT","math.IT","math.PR","stat.TH"],"title_canon_sha256":"74d8b5a79b5eeb15ed11098aa59786c1fc312e1278819e2b7b6375be3ef16c1b","abstract_canon_sha256":"391619f45dfec5b72ddf27a42747037e519c69f77df0af70be4917a42bc74f28"},"schema_version":"1.0"},"canonical_sha256":"825713027be66b1816d23339997e2ea1c7f5ac6871f75da6bff93571526069e0","source":{"kind":"arxiv","id":"1706.00679","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1706.00679","created_at":"2026-05-18T00:11:58Z"},{"alias_kind":"arxiv_version","alias_value":"1706.00679v3","created_at":"2026-05-18T00:11:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1706.00679","created_at":"2026-05-18T00:11:58Z"},{"alias_kind":"pith_short_12","alias_value":"QJLRGAT34ZVR","created_at":"2026-05-18T12:31:39Z"},{"alias_kind":"pith_short_16","alias_value":"QJLRGAT34ZVRQFWS","created_at":"2026-05-18T12:31:39Z"},{"alias_kind":"pith_short_8","alias_value":"QJLRGAT3","created_at":"2026-05-18T12:31:39Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:QJLRGAT34ZVRQFWSGM4ZS7ROUH","target":"record","payload":{"canonical_record":{"source":{"id":"1706.00679","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2017-06-02T13:17:03Z","cross_cats_sorted":["cs.IT","math.IT","math.PR","stat.TH"],"title_canon_sha256":"74d8b5a79b5eeb15ed11098aa59786c1fc312e1278819e2b7b6375be3ef16c1b","abstract_canon_sha256":"391619f45dfec5b72ddf27a42747037e519c69f77df0af70be4917a42bc74f28"},"schema_version":"1.0"},"canonical_sha256":"825713027be66b1816d23339997e2ea1c7f5ac6871f75da6bff93571526069e0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:11:58.255228Z","signature_b64":"CaHYfqWrnynf6fyceRfzgLl4nKE+fbqPwYZPKQ+XNs21oFSfkFtzbBrjqf42raodFwHbKACa4GkusvHSxtcqCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"825713027be66b1816d23339997e2ea1c7f5ac6871f75da6bff93571526069e0","last_reissued_at":"2026-05-18T00:11:58.254563Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:11:58.254563Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1706.00679","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:11:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kq0n2TumfYsZdTITdmrEu6uq3vJPu8FXcyTO6xdEylFBKu0zLjuCamMJs3sn0nQLsERZvTpw6UT/bcxGf1FgAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-20T18:53:51.134901Z"},"content_sha256":"bc34369e1511ea1bfd1e3b967eae608f8e51778a98b7397cbb88b0d0c7501624","schema_version":"1.0","event_id":"sha256:bc34369e1511ea1bfd1e3b967eae608f8e51778a98b7397cbb88b0d0c7501624"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:QJLRGAT34ZVRQFWSGM4ZS7ROUH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Testing Gaussian Process with Applications to Super-Resolution","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.IT","math.IT","math.PR","stat.TH"],"primary_cat":"math.ST","authors_text":"Jean-Marc Aza\\\"is, St\\'ephane Mourareau, Yohann De Castro","submitted_at":"2017-06-02T13:17:03Z","abstract_excerpt":"This article introduces exact testing procedures on the mean of a Gaussian process $X$ derived from the outcomes of $\\ell_1$-minimization over the space of complex valued measures. The process $X$ can be thought as the sum of two terms: first, the convolution between some kernel and a target atomic measure (mean of the process); second, a random perturbation by an additive centered Gaussian process. The first testing procedure considered is based on a dense sequence of grids on the index set of~$X$ and we establish that it converges (as the grid step tends to zero) to a randomized testing proc"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1706.00679","kind":"arxiv","version":3},"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":"2026-05-18T00:11:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5nYLtRtaSmlB/7E09Ji2vWwc0EvLalwVmxFibDSxSbu4b8mpg/UCjcpEc19qgvk7me9eV+isCDY3+gkaLeqPAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-20T18:53:51.135249Z"},"content_sha256":"d2faa525b7a1507d11f015640847b317e7209fbdb1850185b8a5543aea79a311","schema_version":"1.0","event_id":"sha256:d2faa525b7a1507d11f015640847b317e7209fbdb1850185b8a5543aea79a311"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QJLRGAT34ZVRQFWSGM4ZS7ROUH/bundle.json","state_url":"https://pith.science/pith/QJLRGAT34ZVRQFWSGM4ZS7ROUH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QJLRGAT34ZVRQFWSGM4ZS7ROUH/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":"2026-05-20T18:53:51Z","links":{"resolver":"https://pith.science/pith/QJLRGAT34ZVRQFWSGM4ZS7ROUH","bundle":"https://pith.science/pith/QJLRGAT34ZVRQFWSGM4ZS7ROUH/bundle.json","state":"https://pith.science/pith/QJLRGAT34ZVRQFWSGM4ZS7ROUH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QJLRGAT34ZVRQFWSGM4ZS7ROUH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:QJLRGAT34ZVRQFWSGM4ZS7ROUH","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":"391619f45dfec5b72ddf27a42747037e519c69f77df0af70be4917a42bc74f28","cross_cats_sorted":["cs.IT","math.IT","math.PR","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2017-06-02T13:17:03Z","title_canon_sha256":"74d8b5a79b5eeb15ed11098aa59786c1fc312e1278819e2b7b6375be3ef16c1b"},"schema_version":"1.0","source":{"id":"1706.00679","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1706.00679","created_at":"2026-05-18T00:11:58Z"},{"alias_kind":"arxiv_version","alias_value":"1706.00679v3","created_at":"2026-05-18T00:11:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1706.00679","created_at":"2026-05-18T00:11:58Z"},{"alias_kind":"pith_short_12","alias_value":"QJLRGAT34ZVR","created_at":"2026-05-18T12:31:39Z"},{"alias_kind":"pith_short_16","alias_value":"QJLRGAT34ZVRQFWS","created_at":"2026-05-18T12:31:39Z"},{"alias_kind":"pith_short_8","alias_value":"QJLRGAT3","created_at":"2026-05-18T12:31:39Z"}],"graph_snapshots":[{"event_id":"sha256:d2faa525b7a1507d11f015640847b317e7209fbdb1850185b8a5543aea79a311","target":"graph","created_at":"2026-05-18T00:11:58Z","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 article introduces exact testing procedures on the mean of a Gaussian process $X$ derived from the outcomes of $\\ell_1$-minimization over the space of complex valued measures. The process $X$ can be thought as the sum of two terms: first, the convolution between some kernel and a target atomic measure (mean of the process); second, a random perturbation by an additive centered Gaussian process. The first testing procedure considered is based on a dense sequence of grids on the index set of~$X$ and we establish that it converges (as the grid step tends to zero) to a randomized testing proc","authors_text":"Jean-Marc Aza\\\"is, St\\'ephane Mourareau, Yohann De Castro","cross_cats":["cs.IT","math.IT","math.PR","stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2017-06-02T13:17:03Z","title":"Testing Gaussian Process with Applications to Super-Resolution"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1706.00679","kind":"arxiv","version":3},"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:bc34369e1511ea1bfd1e3b967eae608f8e51778a98b7397cbb88b0d0c7501624","target":"record","created_at":"2026-05-18T00:11:58Z","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":"391619f45dfec5b72ddf27a42747037e519c69f77df0af70be4917a42bc74f28","cross_cats_sorted":["cs.IT","math.IT","math.PR","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2017-06-02T13:17:03Z","title_canon_sha256":"74d8b5a79b5eeb15ed11098aa59786c1fc312e1278819e2b7b6375be3ef16c1b"},"schema_version":"1.0","source":{"id":"1706.00679","kind":"arxiv","version":3}},"canonical_sha256":"825713027be66b1816d23339997e2ea1c7f5ac6871f75da6bff93571526069e0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"825713027be66b1816d23339997e2ea1c7f5ac6871f75da6bff93571526069e0","first_computed_at":"2026-05-18T00:11:58.254563Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:11:58.254563Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"CaHYfqWrnynf6fyceRfzgLl4nKE+fbqPwYZPKQ+XNs21oFSfkFtzbBrjqf42raodFwHbKACa4GkusvHSxtcqCw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:11:58.255228Z","signed_message":"canonical_sha256_bytes"},"source_id":"1706.00679","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bc34369e1511ea1bfd1e3b967eae608f8e51778a98b7397cbb88b0d0c7501624","sha256:d2faa525b7a1507d11f015640847b317e7209fbdb1850185b8a5543aea79a311"],"state_sha256":"3d5dcb613adfd50d60cbf2629ebe134a2f1c74e40285f6bd10e2d0438481032c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IQCYSIRqV/bEe1luR2k+XrDiAJPNX2mCxLgNm2JpjpWFESiB20rcGtpNNOs08nQ5J1lNksA98PFYHYRSzJm6Cw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-20T18:53:51.137135Z","bundle_sha256":"99a0e51bc02805f87de0b5cf03d7d6de7b2a47e3944572cdee75e9572b34f541"}}