{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:XRGCJNFUS5DN657AO5WEPPYKWL","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":"81f8b5ebbd755bab2db47884b3bd96182d4254ab929383b76ceec84f1c5a1fbe","cross_cats_sorted":["cond-mat.mes-hall","cond-mat.other","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2011-04-02T18:25:22Z","title_canon_sha256":"7ecd37daf5a543401a5307c3acb8703c6dd7bd9edd26ef188fa8e656deb1e47d"},"schema_version":"1.0","source":{"id":"1104.0328","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1104.0328","created_at":"2026-05-18T04:06:44Z"},{"alias_kind":"arxiv_version","alias_value":"1104.0328v2","created_at":"2026-05-18T04:06:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1104.0328","created_at":"2026-05-18T04:06:44Z"},{"alias_kind":"pith_short_12","alias_value":"XRGCJNFUS5DN","created_at":"2026-05-18T12:26:47Z"},{"alias_kind":"pith_short_16","alias_value":"XRGCJNFUS5DN657A","created_at":"2026-05-18T12:26:47Z"},{"alias_kind":"pith_short_8","alias_value":"XRGCJNFU","created_at":"2026-05-18T12:26:47Z"}],"graph_snapshots":[{"event_id":"sha256:1718ee3bbcb486682db6d0cb337353be2529b6acc88c79cecc1356dc174ee16f","target":"graph","created_at":"2026-05-18T04:06:44Z","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":"Steady-state and transient antiplane dynamic processes in a structured solids consisting of uniform periodic square-cell lattices connected by a lattice layer of different bond stiffnesses and point masses are analyzed. A semi-infinite lattice covered by a layer is also considered. Localization phenomena that are characterized by a waveguide-like propagation along the layer direction and exponential attenuation along its normal are studied. Waveguide pass-bands and attenuation factors are obtained analytically, while transient processes developed under the action of a monochromatic local sourc","authors_text":"Grigory Osharovich, Mark Ayzenberg-Stepanenko","cross_cats":["cond-mat.mes-hall","cond-mat.other","math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2011-04-02T18:25:22Z","title":"Wave localization in stratified square-cell lattices. The antiplane problem"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1104.0328","kind":"arxiv","version":2},"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:cb9ed2ffcaa06307a4a1134e7ffd9c539c65138b7b6aa19e732b0a8ad492aeb0","target":"record","created_at":"2026-05-18T04:06:44Z","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":"81f8b5ebbd755bab2db47884b3bd96182d4254ab929383b76ceec84f1c5a1fbe","cross_cats_sorted":["cond-mat.mes-hall","cond-mat.other","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2011-04-02T18:25:22Z","title_canon_sha256":"7ecd37daf5a543401a5307c3acb8703c6dd7bd9edd26ef188fa8e656deb1e47d"},"schema_version":"1.0","source":{"id":"1104.0328","kind":"arxiv","version":2}},"canonical_sha256":"bc4c24b4b49746df77e0776c47bf0ab2c3ee5cd1cf87cf7089e60989bb9607e8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bc4c24b4b49746df77e0776c47bf0ab2c3ee5cd1cf87cf7089e60989bb9607e8","first_computed_at":"2026-05-18T04:06:44.887325Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:06:44.887325Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"rvtLaotn7FMHt5YOB3oRn95q8rR7361eSJAsnwLKTSVYEv6BVQ25JO3ffNr1y8LtBuiscN88rSL4j9Pn9H+EAw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:06:44.887948Z","signed_message":"canonical_sha256_bytes"},"source_id":"1104.0328","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cb9ed2ffcaa06307a4a1134e7ffd9c539c65138b7b6aa19e732b0a8ad492aeb0","sha256:1718ee3bbcb486682db6d0cb337353be2529b6acc88c79cecc1356dc174ee16f"],"state_sha256":"f7e75676187e87b811efda3b5530659b8023ab695dca239a753d26b9be261499"}