{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:X55ZRAZBS2XK4G2XNNCTVV3KRQ","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":"ecf8a38f303fa41fb06843789b4f8868bd4f0032b83ea4cbcb680ae5057ba80e","cross_cats_sorted":["cs.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2014-07-07T03:16:40Z","title_canon_sha256":"075d9117f0ece86428b66b581c84e68435443a583745868a1799b68ac9a0fb4a"},"schema_version":"1.0","source":{"id":"1407.1572","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1407.1572","created_at":"2026-05-18T02:48:11Z"},{"alias_kind":"arxiv_version","alias_value":"1407.1572v1","created_at":"2026-05-18T02:48:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1407.1572","created_at":"2026-05-18T02:48:11Z"},{"alias_kind":"pith_short_12","alias_value":"X55ZRAZBS2XK","created_at":"2026-05-18T12:28:54Z"},{"alias_kind":"pith_short_16","alias_value":"X55ZRAZBS2XK4G2X","created_at":"2026-05-18T12:28:54Z"},{"alias_kind":"pith_short_8","alias_value":"X55ZRAZB","created_at":"2026-05-18T12:28:54Z"}],"graph_snapshots":[{"event_id":"sha256:dab7b30813dfbd3d4548326efca44cbdb0799dbfc53d8ae3add19a4f07ecb0a8","target":"graph","created_at":"2026-05-18T02:48:11Z","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 a new fast direct solver for linear systems arising out of wide range of applications, integral equations, multivariate statistics, radial basis interpolation, etc., to name a few. \\emph{The highlight of this new fast direct solver is that the solver scales linearly in the number of unknowns in all dimensions.} The solver, termed as Inverse Fast Multipole Method (abbreviated as IFMM), works on the same data-structure as the Fast Multipole Method (abbreviated as FMM). More generally, the solver can be immediately extended to the class of hierarchical matrices, denoted as","authors_text":"Eric Darve, Sivaram Ambikasaran","cross_cats":["cs.NA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2014-07-07T03:16:40Z","title":"The Inverse Fast Multipole Method"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.1572","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:f76fc715e995dfedb9c347e8cf60e489b1db9af5aac8c4cecb9f98ec407454a1","target":"record","created_at":"2026-05-18T02:48:11Z","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":"ecf8a38f303fa41fb06843789b4f8868bd4f0032b83ea4cbcb680ae5057ba80e","cross_cats_sorted":["cs.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2014-07-07T03:16:40Z","title_canon_sha256":"075d9117f0ece86428b66b581c84e68435443a583745868a1799b68ac9a0fb4a"},"schema_version":"1.0","source":{"id":"1407.1572","kind":"arxiv","version":1}},"canonical_sha256":"bf7b98832196aeae1b576b453ad76a8c2c9ac3d0cdca570035da716c99bdd63c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bf7b98832196aeae1b576b453ad76a8c2c9ac3d0cdca570035da716c99bdd63c","first_computed_at":"2026-05-18T02:48:11.025559Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:48:11.025559Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ZrAEv6GM6sBg5cmInlZ1Z20TOF+U1T1of4Qugq3+cuRTfhYmbiKpus9c2VcHvodU6RK7gauilhGzOjo2WxD4Dw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:48:11.026252Z","signed_message":"canonical_sha256_bytes"},"source_id":"1407.1572","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f76fc715e995dfedb9c347e8cf60e489b1db9af5aac8c4cecb9f98ec407454a1","sha256:dab7b30813dfbd3d4548326efca44cbdb0799dbfc53d8ae3add19a4f07ecb0a8"],"state_sha256":"f9202eab299ff252200794d501fd4d1c05068f69a7e1ffcec70b119619931a16"}