{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:LDPXGXRHVDBVQUV4N6DOMQ7NEO","short_pith_number":"pith:LDPXGXRH","schema_version":"1.0","canonical_sha256":"58df735e27a8c35852bc6f86e643ed239207b63431858af19629f578102c16c6","source":{"kind":"arxiv","id":"1710.09791","version":2},"attestation_state":"computed","paper":{"title":"Structural Variability from Noisy Tomographic Projections","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"stat.AP","authors_text":"Amit Singer, Joakim And\\'en","submitted_at":"2017-10-23T15:59:05Z","abstract_excerpt":"In cryo-electron microscopy, the 3D electric potentials of an ensemble of molecules are projected along arbitrary viewing directions to yield noisy 2D images. The volume maps representing these potentials typically exhibit a great deal of structural variability, which is described by their 3D covariance matrix. Typically, this covariance matrix is approximately low-rank and can be used to cluster the volumes or estimate the intrinsic geometry of the conformation space. We formulate the estimation of this covariance matrix as a linear inverse problem, yielding a consistent least-squares estimat"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1710.09791","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.AP","submitted_at":"2017-10-23T15:59:05Z","cross_cats_sorted":[],"title_canon_sha256":"41e5265ee41bf2e8763d8f402de603cb1e49980b47c024e459f948eae26463b8","abstract_canon_sha256":"42ece98bfcef55a6833ad9de94c3456308dc783933c6a5330c8893305970fbc3"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:24:09.690065Z","signature_b64":"nxpHnr6m9sKXZ444rYyp6N3kNyS0PoYfT+15++ObNbmtni7tppFwfJtrh6xtROGE4NpNKCXzCY3OfYgZLisgCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"58df735e27a8c35852bc6f86e643ed239207b63431858af19629f578102c16c6","last_reissued_at":"2026-05-18T00:24:09.689418Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:24:09.689418Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Structural Variability from Noisy Tomographic Projections","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"stat.AP","authors_text":"Amit Singer, Joakim And\\'en","submitted_at":"2017-10-23T15:59:05Z","abstract_excerpt":"In cryo-electron microscopy, the 3D electric potentials of an ensemble of molecules are projected along arbitrary viewing directions to yield noisy 2D images. The volume maps representing these potentials typically exhibit a great deal of structural variability, which is described by their 3D covariance matrix. Typically, this covariance matrix is approximately low-rank and can be used to cluster the volumes or estimate the intrinsic geometry of the conformation space. We formulate the estimation of this covariance matrix as a linear inverse problem, yielding a consistent least-squares estimat"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.09791","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":""},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1710.09791","created_at":"2026-05-18T00:24:09.689543+00:00"},{"alias_kind":"arxiv_version","alias_value":"1710.09791v2","created_at":"2026-05-18T00:24:09.689543+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.09791","created_at":"2026-05-18T00:24:09.689543+00:00"},{"alias_kind":"pith_short_12","alias_value":"LDPXGXRHVDBV","created_at":"2026-05-18T12:31:28.150371+00:00"},{"alias_kind":"pith_short_16","alias_value":"LDPXGXRHVDBVQUV4","created_at":"2026-05-18T12:31:28.150371+00:00"},{"alias_kind":"pith_short_8","alias_value":"LDPXGXRH","created_at":"2026-05-18T12:31:28.150371+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/LDPXGXRHVDBVQUV4N6DOMQ7NEO","json":"https://pith.science/pith/LDPXGXRHVDBVQUV4N6DOMQ7NEO.json","graph_json":"https://pith.science/api/pith-number/LDPXGXRHVDBVQUV4N6DOMQ7NEO/graph.json","events_json":"https://pith.science/api/pith-number/LDPXGXRHVDBVQUV4N6DOMQ7NEO/events.json","paper":"https://pith.science/paper/LDPXGXRH"},"agent_actions":{"view_html":"https://pith.science/pith/LDPXGXRHVDBVQUV4N6DOMQ7NEO","download_json":"https://pith.science/pith/LDPXGXRHVDBVQUV4N6DOMQ7NEO.json","view_paper":"https://pith.science/paper/LDPXGXRH","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1710.09791&json=true","fetch_graph":"https://pith.science/api/pith-number/LDPXGXRHVDBVQUV4N6DOMQ7NEO/graph.json","fetch_events":"https://pith.science/api/pith-number/LDPXGXRHVDBVQUV4N6DOMQ7NEO/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/LDPXGXRHVDBVQUV4N6DOMQ7NEO/action/timestamp_anchor","attest_storage":"https://pith.science/pith/LDPXGXRHVDBVQUV4N6DOMQ7NEO/action/storage_attestation","attest_author":"https://pith.science/pith/LDPXGXRHVDBVQUV4N6DOMQ7NEO/action/author_attestation","sign_citation":"https://pith.science/pith/LDPXGXRHVDBVQUV4N6DOMQ7NEO/action/citation_signature","submit_replication":"https://pith.science/pith/LDPXGXRHVDBVQUV4N6DOMQ7NEO/action/replication_record"}},"created_at":"2026-05-18T00:24:09.689543+00:00","updated_at":"2026-05-18T00:24:09.689543+00:00"}