{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:LGCLJSGYTWMIGEXD36X2J633X5","short_pith_number":"pith:LGCLJSGY","canonical_record":{"source":{"id":"2407.03208","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2024-07-03T15:37:28Z","cross_cats_sorted":["cs.NA"],"title_canon_sha256":"f7193732c0ec8e61ab079490303e3121d3f7524515b50bc5c6f3d6c2cbc2f54f","abstract_canon_sha256":"f0df5a3f088e23a9edc6628a71a7fe129419692cc5bfecc2cf67b917801a2597"},"schema_version":"1.0"},"canonical_sha256":"5984b4c8d89d988312e3dfafa4fb7bbf7c94fec1aa847b80f7b0d7bf25c85174","source":{"kind":"arxiv","id":"2407.03208","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2407.03208","created_at":"2026-07-05T08:39:47Z"},{"alias_kind":"arxiv_version","alias_value":"2407.03208v1","created_at":"2026-07-05T08:39:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2407.03208","created_at":"2026-07-05T08:39:47Z"},{"alias_kind":"pith_short_12","alias_value":"LGCLJSGYTWMI","created_at":"2026-07-05T08:39:47Z"},{"alias_kind":"pith_short_16","alias_value":"LGCLJSGYTWMIGEXD","created_at":"2026-07-05T08:39:47Z"},{"alias_kind":"pith_short_8","alias_value":"LGCLJSGY","created_at":"2026-07-05T08:39:47Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:LGCLJSGYTWMIGEXD36X2J633X5","target":"record","payload":{"canonical_record":{"source":{"id":"2407.03208","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2024-07-03T15:37:28Z","cross_cats_sorted":["cs.NA"],"title_canon_sha256":"f7193732c0ec8e61ab079490303e3121d3f7524515b50bc5c6f3d6c2cbc2f54f","abstract_canon_sha256":"f0df5a3f088e23a9edc6628a71a7fe129419692cc5bfecc2cf67b917801a2597"},"schema_version":"1.0"},"canonical_sha256":"5984b4c8d89d988312e3dfafa4fb7bbf7c94fec1aa847b80f7b0d7bf25c85174","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T08:39:47.791820Z","signature_b64":"x+JqVBjWm+REYuRixeURA04JEvenDeYDlGZdKNY1fDC0Cwb0KIWmFNxr54d4Le6jB5g5aAUCM1GpzwBdguMnBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5984b4c8d89d988312e3dfafa4fb7bbf7c94fec1aa847b80f7b0d7bf25c85174","last_reissued_at":"2026-07-05T08:39:47.791376Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T08:39:47.791376Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2407.03208","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":"2026-07-05T08:39:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fU5FBV2ZEnwso90yodEmm8LOi5XXQkJRILYQtJc3x9JOTG0PD9T0lf12SGR8KQghhEi+taBU1X/7y8XurOk/DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-23T19:45:08.435741Z"},"content_sha256":"fa14b3c55f0da2bbc0f31faca6721cc00ed567b4e53cd80728085a5fce03a9e3","schema_version":"1.0","event_id":"sha256:fa14b3c55f0da2bbc0f31faca6721cc00ed567b4e53cd80728085a5fce03a9e3"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:LGCLJSGYTWMIGEXD36X2J633X5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Randomized Implicitly Restarted Arnoldi method for the non-symmetric eigenvalue problem","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NA"],"primary_cat":"math.NA","authors_text":"Jean-Guillaume de Damas, Laura Grigori","submitted_at":"2024-07-03T15:37:28Z","abstract_excerpt":"In this paper, we introduce a randomized algorithm for solving the non-symmetric eigenvalue problem, referred to as randomized Implicitly Restarted Arnoldi (rIRA). This method relies on using a sketch-orthogonal basis during the Arnoldi process while maintaining the Arnoldi relation and exploiting a restarting scheme to focus on a specific part of the spectrum. We analyze this method and show that it retains useful properties of the Implicitly Restarted Arnoldi (IRA) method, such as restarting without adding errors to the Ritz pairs and implicitly applying polynomial filtering. Experiments are"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2407.03208","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2407.03208/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T08:39:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uh4MN/gWbyVvbJUttjH/Ye6zO4LKYirk6yQeG81HItahdaa3J8m0LVHxkbBLSlyyslof7go0t1QnLAoPyK5ACA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-23T19:45:08.436253Z"},"content_sha256":"3755aa7bc54a900bb7a778aefedeef42e6bd39b9337db1d38466a3c0663519f7","schema_version":"1.0","event_id":"sha256:3755aa7bc54a900bb7a778aefedeef42e6bd39b9337db1d38466a3c0663519f7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LGCLJSGYTWMIGEXD36X2J633X5/bundle.json","state_url":"https://pith.science/pith/LGCLJSGYTWMIGEXD36X2J633X5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LGCLJSGYTWMIGEXD36X2J633X5/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":"2026-08-23T19:45:08Z","links":{"resolver":"https://pith.science/pith/LGCLJSGYTWMIGEXD36X2J633X5","bundle":"https://pith.science/pith/LGCLJSGYTWMIGEXD36X2J633X5/bundle.json","state":"https://pith.science/pith/LGCLJSGYTWMIGEXD36X2J633X5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LGCLJSGYTWMIGEXD36X2J633X5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:LGCLJSGYTWMIGEXD36X2J633X5","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":"f0df5a3f088e23a9edc6628a71a7fe129419692cc5bfecc2cf67b917801a2597","cross_cats_sorted":["cs.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2024-07-03T15:37:28Z","title_canon_sha256":"f7193732c0ec8e61ab079490303e3121d3f7524515b50bc5c6f3d6c2cbc2f54f"},"schema_version":"1.0","source":{"id":"2407.03208","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2407.03208","created_at":"2026-07-05T08:39:47Z"},{"alias_kind":"arxiv_version","alias_value":"2407.03208v1","created_at":"2026-07-05T08:39:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2407.03208","created_at":"2026-07-05T08:39:47Z"},{"alias_kind":"pith_short_12","alias_value":"LGCLJSGYTWMI","created_at":"2026-07-05T08:39:47Z"},{"alias_kind":"pith_short_16","alias_value":"LGCLJSGYTWMIGEXD","created_at":"2026-07-05T08:39:47Z"},{"alias_kind":"pith_short_8","alias_value":"LGCLJSGY","created_at":"2026-07-05T08:39:47Z"}],"graph_snapshots":[{"event_id":"sha256:3755aa7bc54a900bb7a778aefedeef42e6bd39b9337db1d38466a3c0663519f7","target":"graph","created_at":"2026-07-05T08:39:47Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2407.03208/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper, we introduce a randomized algorithm for solving the non-symmetric eigenvalue problem, referred to as randomized Implicitly Restarted Arnoldi (rIRA). This method relies on using a sketch-orthogonal basis during the Arnoldi process while maintaining the Arnoldi relation and exploiting a restarting scheme to focus on a specific part of the spectrum. We analyze this method and show that it retains useful properties of the Implicitly Restarted Arnoldi (IRA) method, such as restarting without adding errors to the Ritz pairs and implicitly applying polynomial filtering. Experiments are","authors_text":"Jean-Guillaume de Damas, Laura Grigori","cross_cats":["cs.NA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2024-07-03T15:37:28Z","title":"Randomized Implicitly Restarted Arnoldi method for the non-symmetric eigenvalue problem"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2407.03208","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:fa14b3c55f0da2bbc0f31faca6721cc00ed567b4e53cd80728085a5fce03a9e3","target":"record","created_at":"2026-07-05T08:39:47Z","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":"f0df5a3f088e23a9edc6628a71a7fe129419692cc5bfecc2cf67b917801a2597","cross_cats_sorted":["cs.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2024-07-03T15:37:28Z","title_canon_sha256":"f7193732c0ec8e61ab079490303e3121d3f7524515b50bc5c6f3d6c2cbc2f54f"},"schema_version":"1.0","source":{"id":"2407.03208","kind":"arxiv","version":1}},"canonical_sha256":"5984b4c8d89d988312e3dfafa4fb7bbf7c94fec1aa847b80f7b0d7bf25c85174","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5984b4c8d89d988312e3dfafa4fb7bbf7c94fec1aa847b80f7b0d7bf25c85174","first_computed_at":"2026-07-05T08:39:47.791376Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:39:47.791376Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"x+JqVBjWm+REYuRixeURA04JEvenDeYDlGZdKNY1fDC0Cwb0KIWmFNxr54d4Le6jB5g5aAUCM1GpzwBdguMnBg==","signature_status":"signed_v1","signed_at":"2026-07-05T08:39:47.791820Z","signed_message":"canonical_sha256_bytes"},"source_id":"2407.03208","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fa14b3c55f0da2bbc0f31faca6721cc00ed567b4e53cd80728085a5fce03a9e3","sha256:3755aa7bc54a900bb7a778aefedeef42e6bd39b9337db1d38466a3c0663519f7"],"state_sha256":"143276a89d43a27901e6e872f7a3803570ff3a37511f22c0edffd7095b5c6497"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jdg0jvcIvjlWYCSOBp4TeIu5Z8jwEjeZc9P+Th+nuyXQ7RI7eQv9qW3YGWB2YB+LFscY/CcjVOkjBJ7EEBuIDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-23T19:45:08.440110Z","bundle_sha256":"64184159a5b7a2e1eae23f2b3a2f367053415cd34d95d76b3f8fd9f1665a52fe"}}