{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:E7HOYHMNKPSNY3DDEQUJLLPDDF","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":"406a00c77d5ce7c328248ca825d9b80578cbf731012bbf5cd1ea1ef73eda048c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2013-12-15T08:15:52Z","title_canon_sha256":"f1dbea8675737ebe423414c134639b39d14a61fc80215ff5fdb0239edc8ce1b9"},"schema_version":"1.0","source":{"id":"1312.4122","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1312.4122","created_at":"2026-05-18T03:04:35Z"},{"alias_kind":"arxiv_version","alias_value":"1312.4122v1","created_at":"2026-05-18T03:04:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1312.4122","created_at":"2026-05-18T03:04:35Z"},{"alias_kind":"pith_short_12","alias_value":"E7HOYHMNKPSN","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_16","alias_value":"E7HOYHMNKPSNY3DD","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_8","alias_value":"E7HOYHMN","created_at":"2026-05-18T12:27:43Z"}],"graph_snapshots":[{"event_id":"sha256:0c4ee98f227e20c8b5fcec764bb8ea10fd11e32449836e00039b30ae3453f04f","target":"graph","created_at":"2026-05-18T03:04:35Z","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":"A new class of solitary waves arises in the solution of nonlinear wave equations with constant impedance and no dispersive terms. They depend on a balance between nonlinearity and a dispersion-like effect due to spatial variation in the sound speed of the medium. A high-order homogenized model confirms this effective dispersive behavior and its solutions agree well with those obtained by direct simulation of the variable-coefficient system. These waves are observed to be long-time stable, globally attracting solutions that arise in general as solutions to nonlinear wave problems with periodica","authors_text":"David I. Ketcheson, Manuel Quezada de Luna","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2013-12-15T08:15:52Z","title":"Diffractons: solitary waves created by diffraction in periodic media"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1312.4122","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":"sha256:72b3dd579e672b8b0da3be58976781b585246926533135e659a27235a22178a2","target":"record","created_at":"2026-05-18T03:04:35Z","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":"406a00c77d5ce7c328248ca825d9b80578cbf731012bbf5cd1ea1ef73eda048c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2013-12-15T08:15:52Z","title_canon_sha256":"f1dbea8675737ebe423414c134639b39d14a61fc80215ff5fdb0239edc8ce1b9"},"schema_version":"1.0","source":{"id":"1312.4122","kind":"arxiv","version":1}},"canonical_sha256":"27ceec1d8d53e4dc6c63242895ade319758a8ee50e090b8bf5f7f87cca40b64e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"27ceec1d8d53e4dc6c63242895ade319758a8ee50e090b8bf5f7f87cca40b64e","first_computed_at":"2026-05-18T03:04:35.632004Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:04:35.632004Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ehO0zwmna1XFPtnqo5uS1LVY3U9vWIbXFDfyQ9Cw5RD8aItKzdI2KKNk75Ae2Dx8+4Ype3IEbkWkcFMqkrgSBg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:04:35.632761Z","signed_message":"canonical_sha256_bytes"},"source_id":"1312.4122","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:72b3dd579e672b8b0da3be58976781b585246926533135e659a27235a22178a2","sha256:0c4ee98f227e20c8b5fcec764bb8ea10fd11e32449836e00039b30ae3453f04f"],"state_sha256":"682348d2c123e787bbc0aa7a8d105979808c03f86b262ad128799d344181fb56"}