{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2006:VDL6QWTUNRN22ADUMQZTLSX5MG","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":"3fd3420660de220b36afd7e1f02e76312d099460368f11e57142934d7a1100ca","cross_cats_sorted":["physics.gen-ph"],"license":"","primary_cat":"physics.flu-dyn","submitted_at":"2006-06-02T08:29:15Z","title_canon_sha256":"15df6cb9df2cf66d60b5b9cad02c1cce637975638fdf1e16715536f0c2637834"},"schema_version":"1.0","source":{"id":"physics/0606018","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"physics/0606018","created_at":"2026-05-18T03:24:20Z"},{"alias_kind":"arxiv_version","alias_value":"physics/0606018v1","created_at":"2026-05-18T03:24:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.physics/0606018","created_at":"2026-05-18T03:24:20Z"},{"alias_kind":"pith_short_12","alias_value":"VDL6QWTUNRN2","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_16","alias_value":"VDL6QWTUNRN22ADU","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_8","alias_value":"VDL6QWTU","created_at":"2026-05-18T12:25:54Z"}],"graph_snapshots":[{"event_id":"sha256:8dd25904ed056b5b19ccaf76779892df4141db8e8a5e1801664e1e31d48acd17","target":"graph","created_at":"2026-05-18T03:24:20Z","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":"We predict theoretically the nondiffractive propagation of sonic waves in periodic acoustic media (sonic crystals), by expansion into a set of plane waves (Bloch mode expansion), and by finite difference time domain calculations of finite beams. We also give analytical evaluations of the parameters for nondiffractive propagation, as well as the minimum size of the nondiffractively propagating acoustic beams.","authors_text":"Isabel Perez-Arjona, Javier Redondo, Kestutis Staliunas, Victor Espinosa, Victor J. Sanchez-Morcillo","cross_cats":["physics.gen-ph"],"headline":"","license":"","primary_cat":"physics.flu-dyn","submitted_at":"2006-06-02T08:29:15Z","title":"Nondiffractive sonic crystals"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"physics/0606018","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":"sha256:519e963d6069cb59ed02a34a156828bd2e321c5dc39f22492a06ab41e203a9e1","target":"record","created_at":"2026-05-18T03:24:20Z","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":"3fd3420660de220b36afd7e1f02e76312d099460368f11e57142934d7a1100ca","cross_cats_sorted":["physics.gen-ph"],"license":"","primary_cat":"physics.flu-dyn","submitted_at":"2006-06-02T08:29:15Z","title_canon_sha256":"15df6cb9df2cf66d60b5b9cad02c1cce637975638fdf1e16715536f0c2637834"},"schema_version":"1.0","source":{"id":"physics/0606018","kind":"arxiv","version":1}},"canonical_sha256":"a8d7e85a746c5bad0074643335cafd61a1d70e4ae643ce8a08ce056bc86b70d3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a8d7e85a746c5bad0074643335cafd61a1d70e4ae643ce8a08ce056bc86b70d3","first_computed_at":"2026-05-18T03:24:20.882053Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:24:20.882053Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"awo4/ojUFwzpSdTK+07el1kKtX7WleDtM/TrDdpUmMkaeAEx8YwESZ8jI41j7jmNI+Nl8p4PDlxe8ITueeSZCg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:24:20.882663Z","signed_message":"canonical_sha256_bytes"},"source_id":"physics/0606018","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:519e963d6069cb59ed02a34a156828bd2e321c5dc39f22492a06ab41e203a9e1","sha256:8dd25904ed056b5b19ccaf76779892df4141db8e8a5e1801664e1e31d48acd17"],"state_sha256":"25bd88763256846cb8d11b0c2cb657ec19d89d7ca637c0f4633e60b0fe0872e1"}