{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:ECVV5U53E3QPUBZKAASQS53VGV","short_pith_number":"pith:ECVV5U53","canonical_record":{"source":{"id":"1403.7120","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SP","submitted_at":"2014-03-27T16:30:47Z","cross_cats_sorted":[],"title_canon_sha256":"1e4574e44803b23ecf3ddbc44755588a785acb96476bafba1fdf7ad5245815d9","abstract_canon_sha256":"3dd2710b103193d5e070a57a365220092685605a7ceba4f25253fd61289db7b0"},"schema_version":"1.0"},"canonical_sha256":"20ab5ed3bb26e0fa072a0025097775354bef5ebbba5607ea779080b12ef2a9ff","source":{"kind":"arxiv","id":"1403.7120","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1403.7120","created_at":"2026-05-18T02:55:26Z"},{"alias_kind":"arxiv_version","alias_value":"1403.7120v1","created_at":"2026-05-18T02:55:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.7120","created_at":"2026-05-18T02:55:26Z"},{"alias_kind":"pith_short_12","alias_value":"ECVV5U53E3QP","created_at":"2026-05-18T12:28:25Z"},{"alias_kind":"pith_short_16","alias_value":"ECVV5U53E3QPUBZK","created_at":"2026-05-18T12:28:25Z"},{"alias_kind":"pith_short_8","alias_value":"ECVV5U53","created_at":"2026-05-18T12:28:25Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:ECVV5U53E3QPUBZKAASQS53VGV","target":"record","payload":{"canonical_record":{"source":{"id":"1403.7120","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SP","submitted_at":"2014-03-27T16:30:47Z","cross_cats_sorted":[],"title_canon_sha256":"1e4574e44803b23ecf3ddbc44755588a785acb96476bafba1fdf7ad5245815d9","abstract_canon_sha256":"3dd2710b103193d5e070a57a365220092685605a7ceba4f25253fd61289db7b0"},"schema_version":"1.0"},"canonical_sha256":"20ab5ed3bb26e0fa072a0025097775354bef5ebbba5607ea779080b12ef2a9ff","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:55:26.459517Z","signature_b64":"fYCRyhdO5y+KnQDyS26UukPqyNMVswGFZjmaN3fFH0vxoDwVw5qnw0x/XhxuyDGSQiByTVDgoArO84nPfP+YBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"20ab5ed3bb26e0fa072a0025097775354bef5ebbba5607ea779080b12ef2a9ff","last_reissued_at":"2026-05-18T02:55:26.459018Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:55:26.459018Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1403.7120","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":"2026-05-18T02:55:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9ePcZb6qYqwSkq81dt4goYX9dqzd0CuMuycXyEGHiEvZYSQiQgsObWGsPMEAniYEFHtdOEi4DJbEetJIVvTZDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T08:37:15.969023Z"},"content_sha256":"34b4e9c96a77498bdfb9f3051f6be4834b12d537f5372b5b33bbbc453bd5cc99","schema_version":"1.0","event_id":"sha256:34b4e9c96a77498bdfb9f3051f6be4834b12d537f5372b5b33bbbc453bd5cc99"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:ECVV5U53E3QPUBZKAASQS53VGV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A new approach to spectral approximation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.SP","authors_text":"Michael Strauss","submitted_at":"2014-03-27T16:30:47Z","abstract_excerpt":"A new technique for approximating eigenvalues and eigenvectors of a self-adjoint operator is presented. The method does not incur spectral pollution, uses trial spaces from the form domain, has a self-adjoint algorithm, and exhibits superconvergence."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.7120","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:55:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"iv2ejwBWsZD/hdhHVy/ohXHjbl25XAuJQNP/FviUngpuOCujR+4vWXVVVOqSpOpdPakpMTPtioqwE/+ItnjvCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T08:37:15.969750Z"},"content_sha256":"1512264ffaf48760f61640589abcd08342d2a98b62fa96a493e2aff0ca3807e8","schema_version":"1.0","event_id":"sha256:1512264ffaf48760f61640589abcd08342d2a98b62fa96a493e2aff0ca3807e8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ECVV5U53E3QPUBZKAASQS53VGV/bundle.json","state_url":"https://pith.science/pith/ECVV5U53E3QPUBZKAASQS53VGV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ECVV5U53E3QPUBZKAASQS53VGV/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":"2026-06-09T08:37:15Z","links":{"resolver":"https://pith.science/pith/ECVV5U53E3QPUBZKAASQS53VGV","bundle":"https://pith.science/pith/ECVV5U53E3QPUBZKAASQS53VGV/bundle.json","state":"https://pith.science/pith/ECVV5U53E3QPUBZKAASQS53VGV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ECVV5U53E3QPUBZKAASQS53VGV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:ECVV5U53E3QPUBZKAASQS53VGV","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":"3dd2710b103193d5e070a57a365220092685605a7ceba4f25253fd61289db7b0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SP","submitted_at":"2014-03-27T16:30:47Z","title_canon_sha256":"1e4574e44803b23ecf3ddbc44755588a785acb96476bafba1fdf7ad5245815d9"},"schema_version":"1.0","source":{"id":"1403.7120","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1403.7120","created_at":"2026-05-18T02:55:26Z"},{"alias_kind":"arxiv_version","alias_value":"1403.7120v1","created_at":"2026-05-18T02:55:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.7120","created_at":"2026-05-18T02:55:26Z"},{"alias_kind":"pith_short_12","alias_value":"ECVV5U53E3QP","created_at":"2026-05-18T12:28:25Z"},{"alias_kind":"pith_short_16","alias_value":"ECVV5U53E3QPUBZK","created_at":"2026-05-18T12:28:25Z"},{"alias_kind":"pith_short_8","alias_value":"ECVV5U53","created_at":"2026-05-18T12:28:25Z"}],"graph_snapshots":[{"event_id":"sha256:1512264ffaf48760f61640589abcd08342d2a98b62fa96a493e2aff0ca3807e8","target":"graph","created_at":"2026-05-18T02:55:26Z","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":"A new technique for approximating eigenvalues and eigenvectors of a self-adjoint operator is presented. The method does not incur spectral pollution, uses trial spaces from the form domain, has a self-adjoint algorithm, and exhibits superconvergence.","authors_text":"Michael Strauss","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SP","submitted_at":"2014-03-27T16:30:47Z","title":"A new approach to spectral approximation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.7120","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":"sha256:34b4e9c96a77498bdfb9f3051f6be4834b12d537f5372b5b33bbbc453bd5cc99","target":"record","created_at":"2026-05-18T02:55:26Z","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":"3dd2710b103193d5e070a57a365220092685605a7ceba4f25253fd61289db7b0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SP","submitted_at":"2014-03-27T16:30:47Z","title_canon_sha256":"1e4574e44803b23ecf3ddbc44755588a785acb96476bafba1fdf7ad5245815d9"},"schema_version":"1.0","source":{"id":"1403.7120","kind":"arxiv","version":1}},"canonical_sha256":"20ab5ed3bb26e0fa072a0025097775354bef5ebbba5607ea779080b12ef2a9ff","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"20ab5ed3bb26e0fa072a0025097775354bef5ebbba5607ea779080b12ef2a9ff","first_computed_at":"2026-05-18T02:55:26.459018Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:55:26.459018Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"fYCRyhdO5y+KnQDyS26UukPqyNMVswGFZjmaN3fFH0vxoDwVw5qnw0x/XhxuyDGSQiByTVDgoArO84nPfP+YBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:55:26.459517Z","signed_message":"canonical_sha256_bytes"},"source_id":"1403.7120","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:34b4e9c96a77498bdfb9f3051f6be4834b12d537f5372b5b33bbbc453bd5cc99","sha256:1512264ffaf48760f61640589abcd08342d2a98b62fa96a493e2aff0ca3807e8"],"state_sha256":"a27726682e06a564b0fd36420f6cc49051685595c90e0108e07319f24474ddab"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Nq+ELCWZoqc33ejnrCNZUb4uAwASSL+JPO3vfhoVpn4kfdvwmEvFRARn2hPth4PBBCOV6702MC1mGR98B3fcBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-09T08:37:15.973730Z","bundle_sha256":"b7b2662bd869ee781e42be278612bc90a12cb743cddefc47c5af2c8d40677a4c"}}