{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:ZR2CT5LRYPB35DLNM7A4ZKQSCC","short_pith_number":"pith:ZR2CT5LR","canonical_record":{"source":{"id":"1711.00942","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-11-02T21:21:47Z","cross_cats_sorted":[],"title_canon_sha256":"f31cc9639f1a2b9f0c0b6779e956589ef3ead22b6c62e6e66ff3a9e409c20472","abstract_canon_sha256":"77e8f40baee14982fbf0fd6f4243050622dd0a711f28d14963efcbcdf3edb0a9"},"schema_version":"1.0"},"canonical_sha256":"cc7429f571c3c3be8d6d67c1ccaa12109090fa17188cae5e8f4ed95c3b48b6a0","source":{"kind":"arxiv","id":"1711.00942","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1711.00942","created_at":"2026-05-18T00:31:24Z"},{"alias_kind":"arxiv_version","alias_value":"1711.00942v1","created_at":"2026-05-18T00:31:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1711.00942","created_at":"2026-05-18T00:31:24Z"},{"alias_kind":"pith_short_12","alias_value":"ZR2CT5LRYPB3","created_at":"2026-05-18T12:31:59Z"},{"alias_kind":"pith_short_16","alias_value":"ZR2CT5LRYPB35DLN","created_at":"2026-05-18T12:31:59Z"},{"alias_kind":"pith_short_8","alias_value":"ZR2CT5LR","created_at":"2026-05-18T12:31:59Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:ZR2CT5LRYPB35DLNM7A4ZKQSCC","target":"record","payload":{"canonical_record":{"source":{"id":"1711.00942","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-11-02T21:21:47Z","cross_cats_sorted":[],"title_canon_sha256":"f31cc9639f1a2b9f0c0b6779e956589ef3ead22b6c62e6e66ff3a9e409c20472","abstract_canon_sha256":"77e8f40baee14982fbf0fd6f4243050622dd0a711f28d14963efcbcdf3edb0a9"},"schema_version":"1.0"},"canonical_sha256":"cc7429f571c3c3be8d6d67c1ccaa12109090fa17188cae5e8f4ed95c3b48b6a0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:31:24.447149Z","signature_b64":"p6HtFDC6YpeFIzjpo6LIB0iOiOD8yPRUH1i+QIikdeS7wwOwhbovWiNcL5LXPJg/iFAVpAK/gEo/fwxaQVHpBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cc7429f571c3c3be8d6d67c1ccaa12109090fa17188cae5e8f4ed95c3b48b6a0","last_reissued_at":"2026-05-18T00:31:24.446665Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:31:24.446665Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1711.00942","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":"2026-05-18T00:31:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DRoNs+6uR1hHCf6GJyPYb/NiWKtnZTUlYXv1kD+jfrIbyBQIses5PuhFowzseq/A/WDtts09PsgiKvc7GKiSCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T17:58:40.592654Z"},"content_sha256":"96e69ef3ea4425c4d59d5e1bfbc8820c2b8b194ba28ef85ba670528e9797ff66","schema_version":"1.0","event_id":"sha256:96e69ef3ea4425c4d59d5e1bfbc8820c2b8b194ba28ef85ba670528e9797ff66"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:ZR2CT5LRYPB35DLNM7A4ZKQSCC","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Compressing Large-Scale Wave Propagation Models via Phase-Preconditioned Rational Krylov Subspaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"J\\\"orn Zimmerling, Mikhail Zaslavsky, Rob Remis, Vladimir Druskin","submitted_at":"2017-11-02T21:21:47Z","abstract_excerpt":"Rational Krylov subspace (RKS) techniques are well-established and powerful tools for projection-based model reduction of time-invariant dynamic systems. For hyperbolic wavefield problems, such techniques perform well in configurations where only a few modes contribute to the field. RKS methods, however, are fundamentally limited by the Nyquist-Shannon sampling rate, making them unsuitable for the approximation of wavefields in configuration characterized by large travel times and propagation distances, since wavefield responses in such configurations are highly oscillatory in the frequency-do"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.00942","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":"2026-05-18T00:31:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"l3ctzjxmzdG9rCvUFLfAt7NM0GRoCA6ITUIEPPNXBJcROmojR+2Xacjidxy8jr5vkL8EQZhcqtOhvtyotaa8AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T17:58:40.593001Z"},"content_sha256":"e531fc23219fd48b96c5ac5c0ca0f6fac014a327bae2f32e2a664b81d2981644","schema_version":"1.0","event_id":"sha256:e531fc23219fd48b96c5ac5c0ca0f6fac014a327bae2f32e2a664b81d2981644"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ZR2CT5LRYPB35DLNM7A4ZKQSCC/bundle.json","state_url":"https://pith.science/pith/ZR2CT5LRYPB35DLNM7A4ZKQSCC/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ZR2CT5LRYPB35DLNM7A4ZKQSCC/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":"2026-06-23T17:58:40Z","links":{"resolver":"https://pith.science/pith/ZR2CT5LRYPB35DLNM7A4ZKQSCC","bundle":"https://pith.science/pith/ZR2CT5LRYPB35DLNM7A4ZKQSCC/bundle.json","state":"https://pith.science/pith/ZR2CT5LRYPB35DLNM7A4ZKQSCC/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ZR2CT5LRYPB35DLNM7A4ZKQSCC/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:ZR2CT5LRYPB35DLNM7A4ZKQSCC","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":"77e8f40baee14982fbf0fd6f4243050622dd0a711f28d14963efcbcdf3edb0a9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-11-02T21:21:47Z","title_canon_sha256":"f31cc9639f1a2b9f0c0b6779e956589ef3ead22b6c62e6e66ff3a9e409c20472"},"schema_version":"1.0","source":{"id":"1711.00942","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1711.00942","created_at":"2026-05-18T00:31:24Z"},{"alias_kind":"arxiv_version","alias_value":"1711.00942v1","created_at":"2026-05-18T00:31:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1711.00942","created_at":"2026-05-18T00:31:24Z"},{"alias_kind":"pith_short_12","alias_value":"ZR2CT5LRYPB3","created_at":"2026-05-18T12:31:59Z"},{"alias_kind":"pith_short_16","alias_value":"ZR2CT5LRYPB35DLN","created_at":"2026-05-18T12:31:59Z"},{"alias_kind":"pith_short_8","alias_value":"ZR2CT5LR","created_at":"2026-05-18T12:31:59Z"}],"graph_snapshots":[{"event_id":"sha256:e531fc23219fd48b96c5ac5c0ca0f6fac014a327bae2f32e2a664b81d2981644","target":"graph","created_at":"2026-05-18T00:31:24Z","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":"Rational Krylov subspace (RKS) techniques are well-established and powerful tools for projection-based model reduction of time-invariant dynamic systems. For hyperbolic wavefield problems, such techniques perform well in configurations where only a few modes contribute to the field. RKS methods, however, are fundamentally limited by the Nyquist-Shannon sampling rate, making them unsuitable for the approximation of wavefields in configuration characterized by large travel times and propagation distances, since wavefield responses in such configurations are highly oscillatory in the frequency-do","authors_text":"J\\\"orn Zimmerling, Mikhail Zaslavsky, Rob Remis, Vladimir Druskin","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-11-02T21:21:47Z","title":"Compressing Large-Scale Wave Propagation Models via Phase-Preconditioned Rational Krylov Subspaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.00942","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":"sha256:96e69ef3ea4425c4d59d5e1bfbc8820c2b8b194ba28ef85ba670528e9797ff66","target":"record","created_at":"2026-05-18T00:31:24Z","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":"77e8f40baee14982fbf0fd6f4243050622dd0a711f28d14963efcbcdf3edb0a9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-11-02T21:21:47Z","title_canon_sha256":"f31cc9639f1a2b9f0c0b6779e956589ef3ead22b6c62e6e66ff3a9e409c20472"},"schema_version":"1.0","source":{"id":"1711.00942","kind":"arxiv","version":1}},"canonical_sha256":"cc7429f571c3c3be8d6d67c1ccaa12109090fa17188cae5e8f4ed95c3b48b6a0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cc7429f571c3c3be8d6d67c1ccaa12109090fa17188cae5e8f4ed95c3b48b6a0","first_computed_at":"2026-05-18T00:31:24.446665Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:31:24.446665Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"p6HtFDC6YpeFIzjpo6LIB0iOiOD8yPRUH1i+QIikdeS7wwOwhbovWiNcL5LXPJg/iFAVpAK/gEo/fwxaQVHpBw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:31:24.447149Z","signed_message":"canonical_sha256_bytes"},"source_id":"1711.00942","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:96e69ef3ea4425c4d59d5e1bfbc8820c2b8b194ba28ef85ba670528e9797ff66","sha256:e531fc23219fd48b96c5ac5c0ca0f6fac014a327bae2f32e2a664b81d2981644"],"state_sha256":"61d7aed1a23b6fa65c346a1daaacb2a4922f9dd04b1c6d8a28dd1fbf74692432"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Nctr2iwLq+vONRkJ/esBBSMIiyKjl7mcnkOs9yEzG9v3kubS/WWcQskp7jxnnqBphoddEoteHDteg3HVuRfXAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-23T17:58:40.594962Z","bundle_sha256":"e6724bb23d3a53809a4a69aaa71e1d8146bf9b5c92fa896bb33cc8fb51e3f83f"}}