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Then we design higher-order entropy-conservative numerical schemes by using Tadmor's relation for the conservative part and higher-order central differences for the non-conservative parts.","weakest_assumption":"The reformulation of the non-conservative products ensures they do not contribute to the entropy production in the system, allowing Tadmor's relation and central differences to produce entropy-conservative schemes before dissipation is added (abstract, paragraph on scheme design)."}},"verdict_id":"422ead98-5703-43e3-9076-e5974212e812"}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:ace29eb5759948b3de3ba18ca6e1653941d0a6e62aa31840e1247d8df0459ad0","target":"record","created_at":"2026-05-20T00:01:08Z","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":"8c8e68dbcc3318a493c3503fe5bca5169a15d4c9cf09884f92c4d66354a9bc51","cross_cats_sorted":["cs.NA"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NA","submitted_at":"2026-05-15T04:58:18Z","title_canon_sha256":"4ee9615f5570a828ba735ca2c9a7a133aceaaa63044a09785b84ed9af96fff59"},"schema_version":"1.0","source":{"id":"2605.15616","kind":"arxiv","version":1}},"canonical_sha256":"9820162e6a27895b63294bd9554df0faa03c59009501d687c892e76383344296","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9820162e6a27895b63294bd9554df0faa03c59009501d687c892e76383344296","first_computed_at":"2026-05-20T00:01:08.295896Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-20T00:01:08.295896Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"rFxy3jaQei0aEsa6IkPfoSLjSn02JTLNwl69XlbnPf8yPjY8l2vvLGWAyCLEeH++3+ywG0iJ3nnI/dMzJ0NYAA==","signature_status":"signed_v1","signed_at":"2026-05-20T00:01:08.296651Z","signed_message":"canonical_sha256_bytes"},"source_id":"2605.15616","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ace29eb5759948b3de3ba18ca6e1653941d0a6e62aa31840e1247d8df0459ad0","sha256:81a193475a0df94b89fc26266301c57bef6941a798823ea4168af5a38c45b4fd"],"state_sha256":"76ef4a0c7b00ffeef24cdd7387ddfdaf05db551f68efef92c45c5ef2229cfe83"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gB/nHTYgcqb6XDZ+dwSJsGAyW6gAmwkdEPBuBuAs+XL0Zzi2Y+mNAWvVx4mKWCuAPmE39QKt1ZlwHwur4lhADA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T14:40:20.005205Z","bundle_sha256":"ae6cb090bbd6f093435e073659ab4ba4e08800f29f1075866133ea3200601000"}}