{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:3ZP54LKULSWZ2AEOUCKNNZL6FX","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":"a1e7b74074fc363fab2ee7a5f472f322ffd84ca22fb80f8c6bc6a78cf29db0dc","cross_cats_sorted":["nlin.PS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-10-04T14:20:29Z","title_canon_sha256":"25683c673d3d603c43aa4150e3f45fb6169625e82f52c891632b680a8d7019e6"},"schema_version":"1.0","source":{"id":"1810.02233","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1810.02233","created_at":"2026-05-17T23:41:45Z"},{"alias_kind":"arxiv_version","alias_value":"1810.02233v3","created_at":"2026-05-17T23:41:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1810.02233","created_at":"2026-05-17T23:41:45Z"},{"alias_kind":"pith_short_12","alias_value":"3ZP54LKULSWZ","created_at":"2026-05-18T12:32:05Z"},{"alias_kind":"pith_short_16","alias_value":"3ZP54LKULSWZ2AEO","created_at":"2026-05-18T12:32:05Z"},{"alias_kind":"pith_short_8","alias_value":"3ZP54LKU","created_at":"2026-05-18T12:32:05Z"}],"graph_snapshots":[{"event_id":"sha256:5af61b57ce1c1d18cbec0c78d1634a828e3982aef78e81e7f1769544c592759b","target":"graph","created_at":"2026-05-17T23:41:45Z","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 study the stability and dynamics of traveling-front solutions of a modified Kuramoto--Sivashinsky equation arising in the modeling of nanoscale ripple patterns that form when a nominally flat solid surface is bombarded with a broad ion beam at an oblique angle of incidence. Structurally, the linearized operators associated with these fronts have unstable essential spectrum---corresponding to instability of the spatially asymptotic states---and stable point spectrum---corresponding to stability of the transition profile of the front. We show that these waves are linearly orbitally asymptotic","authors_text":"Connor Smith, Gregory D. Lyng, Mathew A. Johnson","cross_cats":["nlin.PS"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-10-04T14:20:29Z","title":"On the Dynamics of Traveling Fronts Arising in Nanoscale Pattern Formation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1810.02233","kind":"arxiv","version":3},"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":"sha256:8a712d5a17a0949e1d1c2f6456655bdcbf71602a8e7b6fe4b64d0e9f20a6a4bc","target":"record","created_at":"2026-05-17T23:41:45Z","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":"a1e7b74074fc363fab2ee7a5f472f322ffd84ca22fb80f8c6bc6a78cf29db0dc","cross_cats_sorted":["nlin.PS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-10-04T14:20:29Z","title_canon_sha256":"25683c673d3d603c43aa4150e3f45fb6169625e82f52c891632b680a8d7019e6"},"schema_version":"1.0","source":{"id":"1810.02233","kind":"arxiv","version":3}},"canonical_sha256":"de5fde2d545cad9d008ea094d6e57e2dc0dbdb3f169ba29b7416faee84ebeef6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"de5fde2d545cad9d008ea094d6e57e2dc0dbdb3f169ba29b7416faee84ebeef6","first_computed_at":"2026-05-17T23:41:45.904897Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:41:45.904897Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"m4WwDhnt/P5cShUk8/GqYQ+8RgB2Q5YCU1JO5KAUJvKwG1xoXNFcdWlWHuMOYYRrGyFHeWeUKWeo1j2X7qBIBw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:41:45.905645Z","signed_message":"canonical_sha256_bytes"},"source_id":"1810.02233","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8a712d5a17a0949e1d1c2f6456655bdcbf71602a8e7b6fe4b64d0e9f20a6a4bc","sha256:5af61b57ce1c1d18cbec0c78d1634a828e3982aef78e81e7f1769544c592759b"],"state_sha256":"a7c48d57ff3b7ca27bdb860129302c8a4a6a5e8b92b70fdd220832b9cdbc730e"}