{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:BSJG4EOPOFXA4EI34GZMUK33FN","short_pith_number":"pith:BSJG4EOP","canonical_record":{"source":{"id":"1905.02687","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2019-05-07T16:46:24Z","cross_cats_sorted":["cs.CC"],"title_canon_sha256":"cd96c934a2758e85338ec9f5a1d842d74b5a6913f58ec28b2c618fb6b9049958","abstract_canon_sha256":"2dcabeea67e7d70e44e127467baff10709493819167047badae34d4a79bf7eef"},"schema_version":"1.0"},"canonical_sha256":"0c926e11cf716e0e111be1b2ca2b7b2b787ff252fdf6dd493ab54d6d5dfb4a68","source":{"kind":"arxiv","id":"1905.02687","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1905.02687","created_at":"2026-05-17T23:46:50Z"},{"alias_kind":"arxiv_version","alias_value":"1905.02687v1","created_at":"2026-05-17T23:46:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1905.02687","created_at":"2026-05-17T23:46:50Z"},{"alias_kind":"pith_short_12","alias_value":"BSJG4EOPOFXA","created_at":"2026-05-18T12:33:12Z"},{"alias_kind":"pith_short_16","alias_value":"BSJG4EOPOFXA4EI3","created_at":"2026-05-18T12:33:12Z"},{"alias_kind":"pith_short_8","alias_value":"BSJG4EOP","created_at":"2026-05-18T12:33:12Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:BSJG4EOPOFXA4EI34GZMUK33FN","target":"record","payload":{"canonical_record":{"source":{"id":"1905.02687","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2019-05-07T16:46:24Z","cross_cats_sorted":["cs.CC"],"title_canon_sha256":"cd96c934a2758e85338ec9f5a1d842d74b5a6913f58ec28b2c618fb6b9049958","abstract_canon_sha256":"2dcabeea67e7d70e44e127467baff10709493819167047badae34d4a79bf7eef"},"schema_version":"1.0"},"canonical_sha256":"0c926e11cf716e0e111be1b2ca2b7b2b787ff252fdf6dd493ab54d6d5dfb4a68","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:46:50.726663Z","signature_b64":"wrlqnbncwXeuWyjyl6EdBELU5YoHz1hG4FuKyUcBNvBMGp4lkMWZaluBohT+wIj1+pqSpwb3rLwNHHb7GYruDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0c926e11cf716e0e111be1b2ca2b7b2b787ff252fdf6dd493ab54d6d5dfb4a68","last_reissued_at":"2026-05-17T23:46:50.726164Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:46:50.726164Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1905.02687","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":"2026-05-17T23:46:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pC0FYhGUYLo7W9BwKjJuv1hZrF8y3Q17GUmPV2fBdmgmli92R4V5UMW6nhv2PX/slQgopawzAH18NsRpj3GJCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T18:28:00.865349Z"},"content_sha256":"faec05f0516c82b324f697d60c7bfe781640a577f4ecfa51313c049d5ba5a0b5","schema_version":"1.0","event_id":"sha256:faec05f0516c82b324f697d60c7bfe781640a577f4ecfa51313c049d5ba5a0b5"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:BSJG4EOPOFXA4EI34GZMUK33FN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The algorithm for the recovery of integer vector via linear measurements","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.CC"],"primary_cat":"math.NA","authors_text":"K.S. Ryutin","submitted_at":"2019-05-07T16:46:24Z","abstract_excerpt":"In this paper we continue the studies on the integer sparse recovery problem that was introduced in \\cite{FKS} and studied in \\cite{K},\\cite{KS}. We provide an algorithm for the recovery of an unknown sparse integer vector for the measurement matrix described in \\cite{KS} and estimate the number of arithmetical operations."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1905.02687","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":"2026-05-17T23:46:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LHBFnbFOL9q9GCsrXywcTXjT5GY0QXDv1naSB1krzyWBGI7+YQOTZr7APEe9JC11JqwaLXNt8McPeGNHSpmYDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T18:28:00.865696Z"},"content_sha256":"3000266e34f94ce1ae69bd8d2b7c47676bc2632c856dc0f8b0bcf4cd46cca6ad","schema_version":"1.0","event_id":"sha256:3000266e34f94ce1ae69bd8d2b7c47676bc2632c856dc0f8b0bcf4cd46cca6ad"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/BSJG4EOPOFXA4EI34GZMUK33FN/bundle.json","state_url":"https://pith.science/pith/BSJG4EOPOFXA4EI34GZMUK33FN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/BSJG4EOPOFXA4EI34GZMUK33FN/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":"2026-06-24T18:28:00Z","links":{"resolver":"https://pith.science/pith/BSJG4EOPOFXA4EI34GZMUK33FN","bundle":"https://pith.science/pith/BSJG4EOPOFXA4EI34GZMUK33FN/bundle.json","state":"https://pith.science/pith/BSJG4EOPOFXA4EI34GZMUK33FN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/BSJG4EOPOFXA4EI34GZMUK33FN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:BSJG4EOPOFXA4EI34GZMUK33FN","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":"2dcabeea67e7d70e44e127467baff10709493819167047badae34d4a79bf7eef","cross_cats_sorted":["cs.CC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2019-05-07T16:46:24Z","title_canon_sha256":"cd96c934a2758e85338ec9f5a1d842d74b5a6913f58ec28b2c618fb6b9049958"},"schema_version":"1.0","source":{"id":"1905.02687","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1905.02687","created_at":"2026-05-17T23:46:50Z"},{"alias_kind":"arxiv_version","alias_value":"1905.02687v1","created_at":"2026-05-17T23:46:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1905.02687","created_at":"2026-05-17T23:46:50Z"},{"alias_kind":"pith_short_12","alias_value":"BSJG4EOPOFXA","created_at":"2026-05-18T12:33:12Z"},{"alias_kind":"pith_short_16","alias_value":"BSJG4EOPOFXA4EI3","created_at":"2026-05-18T12:33:12Z"},{"alias_kind":"pith_short_8","alias_value":"BSJG4EOP","created_at":"2026-05-18T12:33:12Z"}],"graph_snapshots":[{"event_id":"sha256:3000266e34f94ce1ae69bd8d2b7c47676bc2632c856dc0f8b0bcf4cd46cca6ad","target":"graph","created_at":"2026-05-17T23:46:50Z","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 this paper we continue the studies on the integer sparse recovery problem that was introduced in \\cite{FKS} and studied in \\cite{K},\\cite{KS}. We provide an algorithm for the recovery of an unknown sparse integer vector for the measurement matrix described in \\cite{KS} and estimate the number of arithmetical operations.","authors_text":"K.S. Ryutin","cross_cats":["cs.CC"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2019-05-07T16:46:24Z","title":"The algorithm for the recovery of integer vector via linear measurements"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1905.02687","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:faec05f0516c82b324f697d60c7bfe781640a577f4ecfa51313c049d5ba5a0b5","target":"record","created_at":"2026-05-17T23:46:50Z","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":"2dcabeea67e7d70e44e127467baff10709493819167047badae34d4a79bf7eef","cross_cats_sorted":["cs.CC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2019-05-07T16:46:24Z","title_canon_sha256":"cd96c934a2758e85338ec9f5a1d842d74b5a6913f58ec28b2c618fb6b9049958"},"schema_version":"1.0","source":{"id":"1905.02687","kind":"arxiv","version":1}},"canonical_sha256":"0c926e11cf716e0e111be1b2ca2b7b2b787ff252fdf6dd493ab54d6d5dfb4a68","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0c926e11cf716e0e111be1b2ca2b7b2b787ff252fdf6dd493ab54d6d5dfb4a68","first_computed_at":"2026-05-17T23:46:50.726164Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:46:50.726164Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"wrlqnbncwXeuWyjyl6EdBELU5YoHz1hG4FuKyUcBNvBMGp4lkMWZaluBohT+wIj1+pqSpwb3rLwNHHb7GYruDQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:46:50.726663Z","signed_message":"canonical_sha256_bytes"},"source_id":"1905.02687","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:faec05f0516c82b324f697d60c7bfe781640a577f4ecfa51313c049d5ba5a0b5","sha256:3000266e34f94ce1ae69bd8d2b7c47676bc2632c856dc0f8b0bcf4cd46cca6ad"],"state_sha256":"aab997c41777fa0fdc331415bea0649ff87ae999b1267079622cc9fccb155e44"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KeIirmPvazTwjG5pNNd6VgRAaU24fMOlWhfj39s3qU7wL7LtxQllhzosiGHz4+rV6PAglqjpZ22fKYhxaBP+Dg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-24T18:28:00.867570Z","bundle_sha256":"30f0672f85261522fc164a32eab8c5b63628b6ab0fb8c08679862c3ba8dc1ddd"}}