{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:EJZE5MTFQ75FNIXLAS2Z7XIDGH","short_pith_number":"pith:EJZE5MTF","canonical_record":{"source":{"id":"2508.05400","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2025-08-07T13:52:42Z","cross_cats_sorted":["cs.NA"],"title_canon_sha256":"c1e56efcd9732ead878992b28c2a99ca9e014ee6d9a3fdefe7620d3da6c81997","abstract_canon_sha256":"c86fde6ca25cb9e566ba614b1f154becf079dcd6c30460bc355d91322678cb7b"},"schema_version":"1.0"},"canonical_sha256":"22724eb26587fa56a2eb04b59fdd0331e14e2b2d5c9d35b389cdb5f33a755eca","source":{"kind":"arxiv","id":"2508.05400","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2508.05400","created_at":"2026-07-05T11:50:12Z"},{"alias_kind":"arxiv_version","alias_value":"2508.05400v1","created_at":"2026-07-05T11:50:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2508.05400","created_at":"2026-07-05T11:50:12Z"},{"alias_kind":"pith_short_12","alias_value":"EJZE5MTFQ75F","created_at":"2026-07-05T11:50:12Z"},{"alias_kind":"pith_short_16","alias_value":"EJZE5MTFQ75FNIXL","created_at":"2026-07-05T11:50:12Z"},{"alias_kind":"pith_short_8","alias_value":"EJZE5MTF","created_at":"2026-07-05T11:50:12Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:EJZE5MTFQ75FNIXLAS2Z7XIDGH","target":"record","payload":{"canonical_record":{"source":{"id":"2508.05400","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2025-08-07T13:52:42Z","cross_cats_sorted":["cs.NA"],"title_canon_sha256":"c1e56efcd9732ead878992b28c2a99ca9e014ee6d9a3fdefe7620d3da6c81997","abstract_canon_sha256":"c86fde6ca25cb9e566ba614b1f154becf079dcd6c30460bc355d91322678cb7b"},"schema_version":"1.0"},"canonical_sha256":"22724eb26587fa56a2eb04b59fdd0331e14e2b2d5c9d35b389cdb5f33a755eca","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:50:12.446103Z","signature_b64":"8mS84Kxkz128b/mhKYu0ycbGZMWt83brh6/UnFrhEPXMrnwCh1Q2ulPNZr6SRM+Mg5mLGTRpXvOUb/YNLZNvAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"22724eb26587fa56a2eb04b59fdd0331e14e2b2d5c9d35b389cdb5f33a755eca","last_reissued_at":"2026-07-05T11:50:12.445605Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:50:12.445605Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2508.05400","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":"2026-07-05T11:50:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Zo+P9PZ8LBQvpg3PlIKHhya/5EGFRtSjl8jKeCbNW/G/Of+NdQF6n6Rv8MmNB5a36Nz6nMGvqn/VTX7Fl2n6AQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-22T10:45:05.434649Z"},"content_sha256":"a0de392963efd12e91787c630f5017d536e02b75455407b96638d3a984e05765","schema_version":"1.0","event_id":"sha256:a0de392963efd12e91787c630f5017d536e02b75455407b96638d3a984e05765"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:EJZE5MTFQ75FNIXLAS2Z7XIDGH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Randomized Krylov-Schur eigensolver with deflation","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":"2025-08-07T13:52:42Z","abstract_excerpt":"This work introduces a novel algorithm to solve large-scale eigenvalue problems and seek a small set of eigenpairs. The method, called randomized Krylov-Schur (rKS), has a simple implementation and benefits from fast and efficient operations in low-dimensional spaces, such as sketch-orthogonalization processes and stable reordering of Schur factorizations. It also includes a practical deflation technique for converged eigenpairs, enabling the computation of the eigenspace associated with a given part of the spectrum. Numerical experiments are provided to demonstrate the scalability and accurac"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2508.05400","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/2508.05400/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":"2026-07-05T11:50:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AAjXyZUUitVA725skBuqAC5B30OF7ie/4MZf/8UzpEKlOhWJy1q4Q1SHyU6I9Clq+mvWNVwzQlU1RWYMsN+aDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-22T10:45:05.435179Z"},"content_sha256":"9ff066ddd1f49785dcf70769aaec9797b526e46748d20c86ac724a20e77f64ad","schema_version":"1.0","event_id":"sha256:9ff066ddd1f49785dcf70769aaec9797b526e46748d20c86ac724a20e77f64ad"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/EJZE5MTFQ75FNIXLAS2Z7XIDGH/bundle.json","state_url":"https://pith.science/pith/EJZE5MTFQ75FNIXLAS2Z7XIDGH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/EJZE5MTFQ75FNIXLAS2Z7XIDGH/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":"2026-08-22T10:45:05Z","links":{"resolver":"https://pith.science/pith/EJZE5MTFQ75FNIXLAS2Z7XIDGH","bundle":"https://pith.science/pith/EJZE5MTFQ75FNIXLAS2Z7XIDGH/bundle.json","state":"https://pith.science/pith/EJZE5MTFQ75FNIXLAS2Z7XIDGH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/EJZE5MTFQ75FNIXLAS2Z7XIDGH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:EJZE5MTFQ75FNIXLAS2Z7XIDGH","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":"c86fde6ca25cb9e566ba614b1f154becf079dcd6c30460bc355d91322678cb7b","cross_cats_sorted":["cs.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2025-08-07T13:52:42Z","title_canon_sha256":"c1e56efcd9732ead878992b28c2a99ca9e014ee6d9a3fdefe7620d3da6c81997"},"schema_version":"1.0","source":{"id":"2508.05400","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2508.05400","created_at":"2026-07-05T11:50:12Z"},{"alias_kind":"arxiv_version","alias_value":"2508.05400v1","created_at":"2026-07-05T11:50:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2508.05400","created_at":"2026-07-05T11:50:12Z"},{"alias_kind":"pith_short_12","alias_value":"EJZE5MTFQ75F","created_at":"2026-07-05T11:50:12Z"},{"alias_kind":"pith_short_16","alias_value":"EJZE5MTFQ75FNIXL","created_at":"2026-07-05T11:50:12Z"},{"alias_kind":"pith_short_8","alias_value":"EJZE5MTF","created_at":"2026-07-05T11:50:12Z"}],"graph_snapshots":[{"event_id":"sha256:9ff066ddd1f49785dcf70769aaec9797b526e46748d20c86ac724a20e77f64ad","target":"graph","created_at":"2026-07-05T11:50:12Z","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/2508.05400/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This work introduces a novel algorithm to solve large-scale eigenvalue problems and seek a small set of eigenpairs. The method, called randomized Krylov-Schur (rKS), has a simple implementation and benefits from fast and efficient operations in low-dimensional spaces, such as sketch-orthogonalization processes and stable reordering of Schur factorizations. It also includes a practical deflation technique for converged eigenpairs, enabling the computation of the eigenspace associated with a given part of the spectrum. Numerical experiments are provided to demonstrate the scalability and accurac","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":"2025-08-07T13:52:42Z","title":"Randomized Krylov-Schur eigensolver with deflation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2508.05400","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:a0de392963efd12e91787c630f5017d536e02b75455407b96638d3a984e05765","target":"record","created_at":"2026-07-05T11:50:12Z","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":"c86fde6ca25cb9e566ba614b1f154becf079dcd6c30460bc355d91322678cb7b","cross_cats_sorted":["cs.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2025-08-07T13:52:42Z","title_canon_sha256":"c1e56efcd9732ead878992b28c2a99ca9e014ee6d9a3fdefe7620d3da6c81997"},"schema_version":"1.0","source":{"id":"2508.05400","kind":"arxiv","version":1}},"canonical_sha256":"22724eb26587fa56a2eb04b59fdd0331e14e2b2d5c9d35b389cdb5f33a755eca","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"22724eb26587fa56a2eb04b59fdd0331e14e2b2d5c9d35b389cdb5f33a755eca","first_computed_at":"2026-07-05T11:50:12.445605Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:50:12.445605Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8mS84Kxkz128b/mhKYu0ycbGZMWt83brh6/UnFrhEPXMrnwCh1Q2ulPNZr6SRM+Mg5mLGTRpXvOUb/YNLZNvAQ==","signature_status":"signed_v1","signed_at":"2026-07-05T11:50:12.446103Z","signed_message":"canonical_sha256_bytes"},"source_id":"2508.05400","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a0de392963efd12e91787c630f5017d536e02b75455407b96638d3a984e05765","sha256:9ff066ddd1f49785dcf70769aaec9797b526e46748d20c86ac724a20e77f64ad"],"state_sha256":"499ccca50650a85547caf7235f44dedcea4436b07b38563a836d610764f3a66f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"c7wEYYXs5wzoy9y+oJAn3SWual2tNWnqzA7mhG0EdK+OmOFmRckto/0k6K+4csQliPBMCPTIexoHztlafZ1sCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-22T10:45:05.440039Z","bundle_sha256":"d3ac58f7dfdf00a49a17d76ed45e5a985199f1929d47d793495433997dfd6d06"}}