{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:36B3FWRTCZVL3Q4CT347WMYXZS","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":"bb34fcb76e733d7d5bcf864b698106a168c785cce025ab088c4057ee51c0f06d","cross_cats_sorted":["math.AP","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-02-05T16:42:20Z","title_canon_sha256":"c2bd88915c61d1d51e2f65506602735c01be0f946d71859f24d50a3d373dffa1"},"schema_version":"1.0","source":{"id":"1402.1081","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1402.1081","created_at":"2026-05-18T03:00:01Z"},{"alias_kind":"arxiv_version","alias_value":"1402.1081v1","created_at":"2026-05-18T03:00:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1402.1081","created_at":"2026-05-18T03:00:01Z"},{"alias_kind":"pith_short_12","alias_value":"36B3FWRTCZVL","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_16","alias_value":"36B3FWRTCZVL3Q4C","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_8","alias_value":"36B3FWRT","created_at":"2026-05-18T12:28:11Z"}],"graph_snapshots":[{"event_id":"sha256:1b5ed6bb10d9d73cff30fef42f2968c285cb5fbf99d4c6c7e3f6f223f6145dd8","target":"graph","created_at":"2026-05-18T03:00:01Z","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":"In this paper it is shown that the state equation of Treeby and Cox [B. E. Treeby and B. T. Cox, J. Acoust. Soc. Am. \\textbf{127} 5, (2010)] is \\emph{nonlocal}, more precisely, a \\emph{local} density variation causes an \\emph{instant global} pressure variation and a \\emph{local} pressure variation can only be caused by an \\emph{instant global} density variation. This is in contrast to all frequency dependent dissipative state equations known to the author. Moreover, it is shown that the Green function $G$ of the wave equation of Treeby and Cox cannot have a \\emph{finite} wave front speed, i.e.","authors_text":"Richard Kowar","cross_cats":["math.AP","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-02-05T16:42:20Z","title":"On the nonlocality of the state and wave equation of Treeby and Cox"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1402.1081","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":"sha256:7a61984db7122bb25132f5497677dfe21d190d43015e0f7447501c2486dcae10","target":"record","created_at":"2026-05-18T03:00:01Z","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":"bb34fcb76e733d7d5bcf864b698106a168c785cce025ab088c4057ee51c0f06d","cross_cats_sorted":["math.AP","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-02-05T16:42:20Z","title_canon_sha256":"c2bd88915c61d1d51e2f65506602735c01be0f946d71859f24d50a3d373dffa1"},"schema_version":"1.0","source":{"id":"1402.1081","kind":"arxiv","version":1}},"canonical_sha256":"df83b2da33166abdc3829ef9fb3317cca88da32f3c5fba7c0d78704c8e9a83e9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"df83b2da33166abdc3829ef9fb3317cca88da32f3c5fba7c0d78704c8e9a83e9","first_computed_at":"2026-05-18T03:00:01.780256Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:00:01.780256Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"eIJpYiLOwTFAIQfLFaiqZwqZiOBEFAvld9acMHvR7O4k6/G9dFasGnhJZP40OBkCsaZCtmqEQ1j6UPkUPdhkCw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:00:01.781009Z","signed_message":"canonical_sha256_bytes"},"source_id":"1402.1081","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7a61984db7122bb25132f5497677dfe21d190d43015e0f7447501c2486dcae10","sha256:1b5ed6bb10d9d73cff30fef42f2968c285cb5fbf99d4c6c7e3f6f223f6145dd8"],"state_sha256":"955482bea3d7e5779726e98d3484b63ca4725f08de858a0a7f4b88aac833cf0b"}