{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:6O3YDHZBZ6HLB3VCA54BUBJD73","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":"dc3f8c6075f33a91536dd0e48fe66b09008cfdfda2f2f65688b99fe5dfc06d8b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2016-02-24T18:29:45Z","title_canon_sha256":"048ec9d2113d50323a95f9144a6f18faec00af416190d6f086d123323cb0026e"},"schema_version":"1.0","source":{"id":"1602.07631","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1602.07631","created_at":"2026-05-18T01:20:02Z"},{"alias_kind":"arxiv_version","alias_value":"1602.07631v1","created_at":"2026-05-18T01:20:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1602.07631","created_at":"2026-05-18T01:20:02Z"},{"alias_kind":"pith_short_12","alias_value":"6O3YDHZBZ6HL","created_at":"2026-05-18T12:30:01Z"},{"alias_kind":"pith_short_16","alias_value":"6O3YDHZBZ6HLB3VC","created_at":"2026-05-18T12:30:01Z"},{"alias_kind":"pith_short_8","alias_value":"6O3YDHZB","created_at":"2026-05-18T12:30:01Z"}],"graph_snapshots":[{"event_id":"sha256:5323054e9272a2f4eb55d1e73c1071ec04f80057edd4c74afcfb39af8deaa504","target":"graph","created_at":"2026-05-18T01:20:02Z","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":"Solutions of nonlinear acoustic equations describing propagation of strong sound pulses with account of curvature of wave fronts in multi-dimensional geometry are obtained from simple physical considerations. The form of these solutions suggests ansatz suitable for finding solutions of much more general equations of Khokhlov-Zabolotskaya type. General method is illustrated by an example of nonlinear sound pulse focused in one transverse direction and defocused in the other direction.","authors_text":"A. M. Kamchatnov, M. V. Pavlov","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2016-02-24T18:29:45Z","title":"On exact solutions of nonlinear acoustic equations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1602.07631","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":"sha256:2819e1f41319abd98722d928166c8f7f202f475716188eb849010a87cda1fda2","target":"record","created_at":"2026-05-18T01:20:02Z","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":"dc3f8c6075f33a91536dd0e48fe66b09008cfdfda2f2f65688b99fe5dfc06d8b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2016-02-24T18:29:45Z","title_canon_sha256":"048ec9d2113d50323a95f9144a6f18faec00af416190d6f086d123323cb0026e"},"schema_version":"1.0","source":{"id":"1602.07631","kind":"arxiv","version":1}},"canonical_sha256":"f3b7819f21cf8eb0eea207781a0523fed26d3c666b91db782c9dbb0b339372c8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f3b7819f21cf8eb0eea207781a0523fed26d3c666b91db782c9dbb0b339372c8","first_computed_at":"2026-05-18T01:20:02.453470Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:20:02.453470Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"uy3vXiDa7zsC0ZEVxr5E0TuN/ZrDGcwPUO6CSqc+NUsJtFfjlPM1MSnjwHRFHZP5FlGFYDuM6kF4P2M1PPlCDA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:20:02.454056Z","signed_message":"canonical_sha256_bytes"},"source_id":"1602.07631","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2819e1f41319abd98722d928166c8f7f202f475716188eb849010a87cda1fda2","sha256:5323054e9272a2f4eb55d1e73c1071ec04f80057edd4c74afcfb39af8deaa504"],"state_sha256":"9c6baa1697298ef7d057f83392afd49f3ed78d855b09da73f789bb00643c6421"}