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To overcome this divergence for arbitrary k, we propose a spectral filtering strategy to restore uniform observability.","weakest_assumption":"The paper assumes that the fully discrete (space-time) dispersion relation for the P^k DG scheme produces vanishing group velocities at selected frequencies, which is the premise used to derive the exponential blow-up of the observability constant."}},"verdict_id":"16456a31-c3f0-47b1-bef2-a2088a1298fd"}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:6a8d7b0d385e0086691e83411858bf9116047a1b4155be58e676eb428b38aebe","target":"record","created_at":"2026-05-20T00:04:40Z","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":"e67d22792119f446896c4eda5165cedd40a61b5def8aabbe110f91ade0f85bab","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OC","submitted_at":"2026-05-17T14:06:53Z","title_canon_sha256":"03f722cc960c23c6108ef4ed347565b6fbec40be3e9224fd29327a944c4518d7"},"schema_version":"1.0","source":{"id":"2605.17464","kind":"arxiv","version":1}},"canonical_sha256":"31e31009c90dbe065d277ab9c9468559983e802c67a703dc72c8f45e5dc054b1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"31e31009c90dbe065d277ab9c9468559983e802c67a703dc72c8f45e5dc054b1","first_computed_at":"2026-05-20T00:04:40.339241Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-20T00:04:40.339241Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"bL1GQfGZ6sGrFo4Vwvuwq/s3UkDzWrPnYadyCfsch4I8yZT7+HkLRaK02ZIIdpmsYSBotIq3GT3xEoPN0a5FAw==","signature_status":"signed_v1","signed_at":"2026-05-20T00:04:40.340356Z","signed_message":"canonical_sha256_bytes"},"source_id":"2605.17464","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6a8d7b0d385e0086691e83411858bf9116047a1b4155be58e676eb428b38aebe","sha256:0ebb91e553f9858625dba96b092877433403323629ca59ba16b390e9a86a8a10"],"state_sha256":"d9188f0b4ee2390baf80cd8904eb08885f439a9f6fae238b538bfd1c080a0509"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0bABsGVp1gLmGHczSH9y8cfn+myRJ0pA5iO8h8Hp95hfoHy552ZUTzDL5PXrZ9eBChdAo72OSSbPxl8gCAeDAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T16:33:22.207089Z","bundle_sha256":"7bf574ebfd92b28482361cb1d67948a4eee9ea8e561cda69ab19fd103e477d85"}}