{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:NDHOHC7O3JYGUPS6F4ICJUFBP6","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":"78eb7836f9bc67683d9599c6edaa4c7bda2c3418aecd0e7c9b51c6c6b4b71cf4","cross_cats_sorted":["cond-mat.mes-hall","cond-mat.mtrl-sci","cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2015-02-22T00:18:51Z","title_canon_sha256":"f2e4c3bf77c535feb056cc2c771698e173d2696a1e057da8192bf606b3401658"},"schema_version":"1.0","source":{"id":"1502.06156","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1502.06156","created_at":"2026-05-18T02:26:37Z"},{"alias_kind":"arxiv_version","alias_value":"1502.06156v1","created_at":"2026-05-18T02:26:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1502.06156","created_at":"2026-05-18T02:26:37Z"},{"alias_kind":"pith_short_12","alias_value":"NDHOHC7O3JYG","created_at":"2026-05-18T12:29:32Z"},{"alias_kind":"pith_short_16","alias_value":"NDHOHC7O3JYGUPS6","created_at":"2026-05-18T12:29:32Z"},{"alias_kind":"pith_short_8","alias_value":"NDHOHC7O","created_at":"2026-05-18T12:29:32Z"}],"graph_snapshots":[{"event_id":"sha256:8ffeea67f819df84a53f72b3361098d816159db6b8382a08a804d693ee41cf7f","target":"graph","created_at":"2026-05-18T02:26:37Z","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":"Direct comparison is made of the steady-sates and coarsening dynamics in a local system and its nonlocal generalization. The example system is the surface of a solid film in a strong electric field; the morphological evolution of the surface is described, in the long-wavelength approximation, by the amplitude PDE for the film height function. It is shown that the amplitude of the steady-state and the coarsening rate of the surface structure are very sensitive to the radius of the long-range interaction, and that both quantities increase as the radius decreases.","authors_text":"Mikhail Khenner","cross_cats":["cond-mat.mes-hall","cond-mat.mtrl-sci","cond-mat.stat-mech"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2015-02-22T00:18:51Z","title":"Surface morphology coarsening in a nonlocal system"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.06156","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":"sha256:55c97e4f6ffeab2e5af75483575115d639b0eb0f0f6d688c4ac815cf21a92b13","target":"record","created_at":"2026-05-18T02:26:37Z","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":"78eb7836f9bc67683d9599c6edaa4c7bda2c3418aecd0e7c9b51c6c6b4b71cf4","cross_cats_sorted":["cond-mat.mes-hall","cond-mat.mtrl-sci","cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2015-02-22T00:18:51Z","title_canon_sha256":"f2e4c3bf77c535feb056cc2c771698e173d2696a1e057da8192bf606b3401658"},"schema_version":"1.0","source":{"id":"1502.06156","kind":"arxiv","version":1}},"canonical_sha256":"68cee38beeda706a3e5e2f1024d0a17f970e2a33a55e64207057ff616b4ddcd6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"68cee38beeda706a3e5e2f1024d0a17f970e2a33a55e64207057ff616b4ddcd6","first_computed_at":"2026-05-18T02:26:37.940246Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:26:37.940246Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"52m0vEqDV0Q/qHUJ4S0dbeSUIvp4EjD5l1/U3G3OnYGwnJGMQUaZGV1uZ318Tz0c5OC/t6BaRXQIf6w+BWJVCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:26:37.940728Z","signed_message":"canonical_sha256_bytes"},"source_id":"1502.06156","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:55c97e4f6ffeab2e5af75483575115d639b0eb0f0f6d688c4ac815cf21a92b13","sha256:8ffeea67f819df84a53f72b3361098d816159db6b8382a08a804d693ee41cf7f"],"state_sha256":"6bf2dfb5b137482c0fdb4dd418139093f5a4f50034ac36309e1a8df897313969"}