{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:AOLQBQR5TBUVYL5OKS5YIJTMVH","short_pith_number":"pith:AOLQBQR5","schema_version":"1.0","canonical_sha256":"039700c23d98695c2fae54bb84266ca9c1f026995ffc57096ec386dff4139a9c","source":{"kind":"arxiv","id":"1305.3676","version":1},"attestation_state":"computed","paper":{"title":"A frequency determination method for digitized NMR signals","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.data-an"],"primary_cat":"physics.comp-ph","authors_text":"C.B.Fu, E.Smith, H.Gao, H.Yan, K.Li, P.-H.Chu, R.Khatiwada, W. M. Snow, W.Zheng","submitted_at":"2013-05-16T03:42:24Z","abstract_excerpt":"We present a high precision frequency determination method for digitized NMR FID signals. The method employs high precision numerical integration rather than simple summation as in many other techniques. With no independent knowledge of the other parameters of a NMR FID signal (phase $\\phi$, amplitude $A$, and transverse relaxation time $T_{2}$) this method can determine the signal frequency $f_{0}$ with a precision of $1/(8\\pi^{2}f_{0}^{2}T_{2}^{2})$ if the observation time $T$ is long enough. The method is especially convenient when the detailed shape of the observed FT NMR spectrum is not w"},"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":"1305.3676","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2013-05-16T03:42:24Z","cross_cats_sorted":["physics.data-an"],"title_canon_sha256":"30c09295eb3e7894ec8cccd3af6a9134b6835b80c10086a9a54084669fec3370","abstract_canon_sha256":"c2bc89d3187ea8df68c608bcf55561b1ea2d5a66bd77e01e5b974296cec40fb4"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:08:21.612568Z","signature_b64":"VEVPjYi4eVNbBVru8mFhiF3XxXOPkQnCeiIIWEik3IUGsN6BA7TRwbXveqI5PAqI0rIY7BbdLANxizrjUqvVCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"039700c23d98695c2fae54bb84266ca9c1f026995ffc57096ec386dff4139a9c","last_reissued_at":"2026-05-18T01:08:21.611911Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:08:21.611911Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A frequency determination method for digitized NMR signals","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.data-an"],"primary_cat":"physics.comp-ph","authors_text":"C.B.Fu, E.Smith, H.Gao, H.Yan, K.Li, P.-H.Chu, R.Khatiwada, W. M. Snow, W.Zheng","submitted_at":"2013-05-16T03:42:24Z","abstract_excerpt":"We present a high precision frequency determination method for digitized NMR FID signals. The method employs high precision numerical integration rather than simple summation as in many other techniques. With no independent knowledge of the other parameters of a NMR FID signal (phase $\\phi$, amplitude $A$, and transverse relaxation time $T_{2}$) this method can determine the signal frequency $f_{0}$ with a precision of $1/(8\\pi^{2}f_{0}^{2}T_{2}^{2})$ if the observation time $T$ is long enough. The method is especially convenient when the detailed shape of the observed FT NMR spectrum is not w"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.3676","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1305.3676","created_at":"2026-05-18T01:08:21.612009+00:00"},{"alias_kind":"arxiv_version","alias_value":"1305.3676v1","created_at":"2026-05-18T01:08:21.612009+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.3676","created_at":"2026-05-18T01:08:21.612009+00:00"},{"alias_kind":"pith_short_12","alias_value":"AOLQBQR5TBUV","created_at":"2026-05-18T12:27:38.830355+00:00"},{"alias_kind":"pith_short_16","alias_value":"AOLQBQR5TBUVYL5O","created_at":"2026-05-18T12:27:38.830355+00:00"},{"alias_kind":"pith_short_8","alias_value":"AOLQBQR5","created_at":"2026-05-18T12:27:38.830355+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/AOLQBQR5TBUVYL5OKS5YIJTMVH","json":"https://pith.science/pith/AOLQBQR5TBUVYL5OKS5YIJTMVH.json","graph_json":"https://pith.science/api/pith-number/AOLQBQR5TBUVYL5OKS5YIJTMVH/graph.json","events_json":"https://pith.science/api/pith-number/AOLQBQR5TBUVYL5OKS5YIJTMVH/events.json","paper":"https://pith.science/paper/AOLQBQR5"},"agent_actions":{"view_html":"https://pith.science/pith/AOLQBQR5TBUVYL5OKS5YIJTMVH","download_json":"https://pith.science/pith/AOLQBQR5TBUVYL5OKS5YIJTMVH.json","view_paper":"https://pith.science/paper/AOLQBQR5","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1305.3676&json=true","fetch_graph":"https://pith.science/api/pith-number/AOLQBQR5TBUVYL5OKS5YIJTMVH/graph.json","fetch_events":"https://pith.science/api/pith-number/AOLQBQR5TBUVYL5OKS5YIJTMVH/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/AOLQBQR5TBUVYL5OKS5YIJTMVH/action/timestamp_anchor","attest_storage":"https://pith.science/pith/AOLQBQR5TBUVYL5OKS5YIJTMVH/action/storage_attestation","attest_author":"https://pith.science/pith/AOLQBQR5TBUVYL5OKS5YIJTMVH/action/author_attestation","sign_citation":"https://pith.science/pith/AOLQBQR5TBUVYL5OKS5YIJTMVH/action/citation_signature","submit_replication":"https://pith.science/pith/AOLQBQR5TBUVYL5OKS5YIJTMVH/action/replication_record"}},"created_at":"2026-05-18T01:08:21.612009+00:00","updated_at":"2026-05-18T01:08:21.612009+00:00"}