{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:D76MUCZVFV7VIPVJBODJTTATHZ","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":"f45582ee1d62c85510cc70d4cd0c0cee7c884777d9df677c4bdc186a3170d66c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2009-12-29T14:08:14Z","title_canon_sha256":"5a4e5880a7fae0fe28d0a9cda000d0a3dcc68f52dfa4510ef098f69c1e7fdf15"},"schema_version":"1.0","source":{"id":"0912.5305","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0912.5305","created_at":"2026-05-18T02:10:13Z"},{"alias_kind":"arxiv_version","alias_value":"0912.5305v1","created_at":"2026-05-18T02:10:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0912.5305","created_at":"2026-05-18T02:10:13Z"},{"alias_kind":"pith_short_12","alias_value":"D76MUCZVFV7V","created_at":"2026-05-18T12:25:59Z"},{"alias_kind":"pith_short_16","alias_value":"D76MUCZVFV7VIPVJ","created_at":"2026-05-18T12:25:59Z"},{"alias_kind":"pith_short_8","alias_value":"D76MUCZV","created_at":"2026-05-18T12:25:59Z"}],"graph_snapshots":[{"event_id":"sha256:2d273ce23d75268f04a10aacb55517eecabadb6789f8f09f32d4e6097c2e7280","target":"graph","created_at":"2026-05-18T02:10:13Z","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 consider short pulse propagation in nonlinear metamaterials characterized by a weak Kerr-type nonlinearity in their dielectric response. In the frequency \"band gaps\" (where linear electromagnetic waves are evanescent) with linear effective permittivity \\epsilon<0 and permeability \\mu>0, we derive two short-pulse equations (SPEs) for the high- and low-frequency band gaps. The structure of the solutions of the SPEs is also briefly discussed, and connections with the soliton solutions of the nonlinear Schrodinger equation are presented.","authors_text":"D.J. Frantzeskakis, N.L. Tsitsas, N. Whitaker, P.G. Kevrekidis, T.P. Horikis, Y. Shen","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2009-12-29T14:08:14Z","title":"Short pulse equations and localized structures in frequency band gaps of nonlinear metamaterials"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0912.5305","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":"sha256:5e5811ead2a34311cf1c26645a1b41e9514aa3896245ddc411e20d6a98ba0581","target":"record","created_at":"2026-05-18T02:10:13Z","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":"f45582ee1d62c85510cc70d4cd0c0cee7c884777d9df677c4bdc186a3170d66c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2009-12-29T14:08:14Z","title_canon_sha256":"5a4e5880a7fae0fe28d0a9cda000d0a3dcc68f52dfa4510ef098f69c1e7fdf15"},"schema_version":"1.0","source":{"id":"0912.5305","kind":"arxiv","version":1}},"canonical_sha256":"1ffcca0b352d7f543ea90b8699cc133e61ab9d7231995b57154b4b8ebe4594d7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1ffcca0b352d7f543ea90b8699cc133e61ab9d7231995b57154b4b8ebe4594d7","first_computed_at":"2026-05-18T02:10:13.289511Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:10:13.289511Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"fwrTtcGa75xzYpUS7p0HXHxoN653uPPaGRmf7xqEgzVFv6kDb84zZig8GLLy0O1Q7huqEzf4M9OWGPgy7o1FCA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:10:13.290236Z","signed_message":"canonical_sha256_bytes"},"source_id":"0912.5305","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5e5811ead2a34311cf1c26645a1b41e9514aa3896245ddc411e20d6a98ba0581","sha256:2d273ce23d75268f04a10aacb55517eecabadb6789f8f09f32d4e6097c2e7280"],"state_sha256":"cb113443891531a98e02eaf7c3f3b3064dbfe198a9a6147497f38d28f8753dd8"}