{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:SFHUCAXP5ZAK54OKFNQO67UWBW","short_pith_number":"pith:SFHUCAXP","canonical_record":{"source":{"id":"1712.06373","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-12-18T12:51:48Z","cross_cats_sorted":[],"title_canon_sha256":"bd7416281668195daaac3718beabaf0d4d4320059cf3e72c4485d5e605dd79f8","abstract_canon_sha256":"93c3093a353af4caa273be2e230eca10dda434eb3fc2f45c658288aaba0cb601"},"schema_version":"1.0"},"canonical_sha256":"914f4102efee40aef1ca2b60ef7e960d928c1bb57ef7055643502e0b5656fab4","source":{"kind":"arxiv","id":"1712.06373","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1712.06373","created_at":"2026-05-18T00:27:48Z"},{"alias_kind":"arxiv_version","alias_value":"1712.06373v1","created_at":"2026-05-18T00:27:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1712.06373","created_at":"2026-05-18T00:27:48Z"},{"alias_kind":"pith_short_12","alias_value":"SFHUCAXP5ZAK","created_at":"2026-05-18T12:31:43Z"},{"alias_kind":"pith_short_16","alias_value":"SFHUCAXP5ZAK54OK","created_at":"2026-05-18T12:31:43Z"},{"alias_kind":"pith_short_8","alias_value":"SFHUCAXP","created_at":"2026-05-18T12:31:43Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:SFHUCAXP5ZAK54OKFNQO67UWBW","target":"record","payload":{"canonical_record":{"source":{"id":"1712.06373","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-12-18T12:51:48Z","cross_cats_sorted":[],"title_canon_sha256":"bd7416281668195daaac3718beabaf0d4d4320059cf3e72c4485d5e605dd79f8","abstract_canon_sha256":"93c3093a353af4caa273be2e230eca10dda434eb3fc2f45c658288aaba0cb601"},"schema_version":"1.0"},"canonical_sha256":"914f4102efee40aef1ca2b60ef7e960d928c1bb57ef7055643502e0b5656fab4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:27:48.002424Z","signature_b64":"4iMX9Wsq6RkY7qhgdgDkYtGH6XZ2wiIFeA/JAJIStxACYLsXn12dC74gKKJlAUEa6gsE3nTMXwFc7sFDmB1wCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"914f4102efee40aef1ca2b60ef7e960d928c1bb57ef7055643502e0b5656fab4","last_reissued_at":"2026-05-18T00:27:48.001905Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:27:48.001905Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1712.06373","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":"2026-05-18T00:27:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7nBxnwuIFfHDSmRHeI7lYNmTXC6/cR2Ye4ZbUuS0Jv6YI3Q2TzYurjwErFzC3kuenP8Jj9Q9PNcmiYZdQozBCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T17:24:36.819719Z"},"content_sha256":"4e9b44c087fe650d564b9355418a0e0e05b90853e9a7f7c126dea677763358b8","schema_version":"1.0","event_id":"sha256:4e9b44c087fe650d564b9355418a0e0e05b90853e9a7f7c126dea677763358b8"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:SFHUCAXP5ZAK54OKFNQO67UWBW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A characterization of the Non-Degenerate Source Condition in Super-Resolution","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Vincent Duval (MOKAPLAN)","submitted_at":"2017-12-18T12:51:48Z","abstract_excerpt":"In a recent article, Schiebinger et al. provided sufficient conditions for the noiseless recovery of a signal made of M Dirac masses given 2M + 1 observations of, e.g. , its convolution with a Gaussian filter, using the Basis Pursuit for measures. In the present work, we show that a variant of their criterion provides a necessary and sufficient condition for the Non-Degenerate Source Condition (NDSC) which was introduced by Duval and Peyr{\\'e} to ensure support stability in super-resolution. We provide sufficient conditions which, for instance, hold unconditionally for the Laplace kernel provi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1712.06373","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":"2026-05-18T00:27:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Xvj5zho4wDVabRpsZmwhyYFhD+GUg3irOvaaLuM4A7wnOzlt45UO3AFIlQ7bI9XA0qz7wLlsECqrllR6zMDKCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T17:24:36.820402Z"},"content_sha256":"5e66f78529360f8d67a42b60f65077e2aeec691aa85df245cb8849c2ec52378d","schema_version":"1.0","event_id":"sha256:5e66f78529360f8d67a42b60f65077e2aeec691aa85df245cb8849c2ec52378d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SFHUCAXP5ZAK54OKFNQO67UWBW/bundle.json","state_url":"https://pith.science/pith/SFHUCAXP5ZAK54OKFNQO67UWBW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SFHUCAXP5ZAK54OKFNQO67UWBW/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":"2026-05-31T17:24:36Z","links":{"resolver":"https://pith.science/pith/SFHUCAXP5ZAK54OKFNQO67UWBW","bundle":"https://pith.science/pith/SFHUCAXP5ZAK54OKFNQO67UWBW/bundle.json","state":"https://pith.science/pith/SFHUCAXP5ZAK54OKFNQO67UWBW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SFHUCAXP5ZAK54OKFNQO67UWBW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:SFHUCAXP5ZAK54OKFNQO67UWBW","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":"93c3093a353af4caa273be2e230eca10dda434eb3fc2f45c658288aaba0cb601","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-12-18T12:51:48Z","title_canon_sha256":"bd7416281668195daaac3718beabaf0d4d4320059cf3e72c4485d5e605dd79f8"},"schema_version":"1.0","source":{"id":"1712.06373","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1712.06373","created_at":"2026-05-18T00:27:48Z"},{"alias_kind":"arxiv_version","alias_value":"1712.06373v1","created_at":"2026-05-18T00:27:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1712.06373","created_at":"2026-05-18T00:27:48Z"},{"alias_kind":"pith_short_12","alias_value":"SFHUCAXP5ZAK","created_at":"2026-05-18T12:31:43Z"},{"alias_kind":"pith_short_16","alias_value":"SFHUCAXP5ZAK54OK","created_at":"2026-05-18T12:31:43Z"},{"alias_kind":"pith_short_8","alias_value":"SFHUCAXP","created_at":"2026-05-18T12:31:43Z"}],"graph_snapshots":[{"event_id":"sha256:5e66f78529360f8d67a42b60f65077e2aeec691aa85df245cb8849c2ec52378d","target":"graph","created_at":"2026-05-18T00:27:48Z","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"},"paper":{"abstract_excerpt":"In a recent article, Schiebinger et al. provided sufficient conditions for the noiseless recovery of a signal made of M Dirac masses given 2M + 1 observations of, e.g. , its convolution with a Gaussian filter, using the Basis Pursuit for measures. In the present work, we show that a variant of their criterion provides a necessary and sufficient condition for the Non-Degenerate Source Condition (NDSC) which was introduced by Duval and Peyr{\\'e} to ensure support stability in super-resolution. We provide sufficient conditions which, for instance, hold unconditionally for the Laplace kernel provi","authors_text":"Vincent Duval (MOKAPLAN)","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-12-18T12:51:48Z","title":"A characterization of the Non-Degenerate Source Condition in Super-Resolution"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1712.06373","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":"sha256:4e9b44c087fe650d564b9355418a0e0e05b90853e9a7f7c126dea677763358b8","target":"record","created_at":"2026-05-18T00:27:48Z","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":"93c3093a353af4caa273be2e230eca10dda434eb3fc2f45c658288aaba0cb601","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-12-18T12:51:48Z","title_canon_sha256":"bd7416281668195daaac3718beabaf0d4d4320059cf3e72c4485d5e605dd79f8"},"schema_version":"1.0","source":{"id":"1712.06373","kind":"arxiv","version":1}},"canonical_sha256":"914f4102efee40aef1ca2b60ef7e960d928c1bb57ef7055643502e0b5656fab4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"914f4102efee40aef1ca2b60ef7e960d928c1bb57ef7055643502e0b5656fab4","first_computed_at":"2026-05-18T00:27:48.001905Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:27:48.001905Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"4iMX9Wsq6RkY7qhgdgDkYtGH6XZ2wiIFeA/JAJIStxACYLsXn12dC74gKKJlAUEa6gsE3nTMXwFc7sFDmB1wCw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:27:48.002424Z","signed_message":"canonical_sha256_bytes"},"source_id":"1712.06373","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4e9b44c087fe650d564b9355418a0e0e05b90853e9a7f7c126dea677763358b8","sha256:5e66f78529360f8d67a42b60f65077e2aeec691aa85df245cb8849c2ec52378d"],"state_sha256":"3c7b5aebf6a9d267548944fa23f48074cc4caaaec3ce01d62ac0059cc9cf66d4"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XJJBcnMR1feRqWJo9jEPfCt1PqRhNC87gC1uyrjz+kkKHX5+Srpf6/utdO4h7twg+bZxcVXS4TeJuQytmg+uCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T17:24:36.824120Z","bundle_sha256":"c113fc5d7e32fd92ecae655f78de5223a940fee0fe86a94addb3b70b709c0fa8"}}