{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:GQZ7JIPFJ53UMO6KMJKVUTYQRH","short_pith_number":"pith:GQZ7JIPF","canonical_record":{"source":{"id":"1810.00631","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2018-10-01T11:41:11Z","cross_cats_sorted":[],"title_canon_sha256":"1fde45254377956986a17e276a67f1f972de3325f0f3574ca252e7f972b51d23","abstract_canon_sha256":"8a2d48c54aaf615fd912f24c4a2a0f9deee27cb42b6c9cab42d5d318beea3fd2"},"schema_version":"1.0"},"canonical_sha256":"3433f4a1e54f77463bca62555a4f1089c94d1668275253c05156a6285dfb9195","source":{"kind":"arxiv","id":"1810.00631","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1810.00631","created_at":"2026-05-18T00:04:25Z"},{"alias_kind":"arxiv_version","alias_value":"1810.00631v1","created_at":"2026-05-18T00:04:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1810.00631","created_at":"2026-05-18T00:04:25Z"},{"alias_kind":"pith_short_12","alias_value":"GQZ7JIPFJ53U","created_at":"2026-05-18T12:32:25Z"},{"alias_kind":"pith_short_16","alias_value":"GQZ7JIPFJ53UMO6K","created_at":"2026-05-18T12:32:25Z"},{"alias_kind":"pith_short_8","alias_value":"GQZ7JIPF","created_at":"2026-05-18T12:32:25Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:GQZ7JIPFJ53UMO6KMJKVUTYQRH","target":"record","payload":{"canonical_record":{"source":{"id":"1810.00631","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2018-10-01T11:41:11Z","cross_cats_sorted":[],"title_canon_sha256":"1fde45254377956986a17e276a67f1f972de3325f0f3574ca252e7f972b51d23","abstract_canon_sha256":"8a2d48c54aaf615fd912f24c4a2a0f9deee27cb42b6c9cab42d5d318beea3fd2"},"schema_version":"1.0"},"canonical_sha256":"3433f4a1e54f77463bca62555a4f1089c94d1668275253c05156a6285dfb9195","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:04:25.235581Z","signature_b64":"/3EmGFOmXwBz9sI3zOaU69xvQRJg1RkxAfnfBHrK6JRYRXmQ3DUHP5mum8TKAEh1CWIcq+5nEJsAUIMsShtpCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3433f4a1e54f77463bca62555a4f1089c94d1668275253c05156a6285dfb9195","last_reissued_at":"2026-05-18T00:04:25.235080Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:04:25.235080Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1810.00631","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:04:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kYQB8DkS9UVUEiRfGU7JmSfzT8VEJ8l6F1oEGt1RPzuptBctejMm0utv6+wDGGfmsqAfbARUx1alVqB0/igcDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T16:26:29.767244Z"},"content_sha256":"1c8cfdfdd56f103e5c2b4bd8e76dcddab8d99e00b9bb391828b8b0cf62ab02e1","schema_version":"1.0","event_id":"sha256:1c8cfdfdd56f103e5c2b4bd8e76dcddab8d99e00b9bb391828b8b0cf62ab02e1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:GQZ7JIPFJ53UMO6KMJKVUTYQRH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Asymmetric wave transmission through one dimensional lattices with cubic-quintic nonlinearity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nlin.PS","authors_text":"Muhammad Abdul Wasay","submitted_at":"2018-10-01T11:41:11Z","abstract_excerpt":"One dimensional lattice with an on-site cubic-quintic nonlinear response described by a cubic-quintic discrete nonlinear Schr\\\"odinger equation is tested for asymmetric wave propagation. The lattice is connected to linear side chains. Asymmetry is introduced by breaking the mirror symmetry of the lattice with respect to the center of the nonlinear region. Three cases corresponding to dimer, trimer and quadrimer are discussed with focus on the corresponding diode-like effect. Transmission coefficients are analytically calculated for left and right moving waves via backward transfer map. The dif"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1810.00631","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:04:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rbK6kH19XevPycLDhfX8gjCfqOEJVx4Kc1Rp8pa2scQ7TZy+X0jceJQV8+93ctDdE2DJoEovZbi5T/6oLyJEDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T16:26:29.767953Z"},"content_sha256":"4dc22722b9b8df8f1959099624717070592c17c3eaa16e51beef72ebc58b46f5","schema_version":"1.0","event_id":"sha256:4dc22722b9b8df8f1959099624717070592c17c3eaa16e51beef72ebc58b46f5"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/GQZ7JIPFJ53UMO6KMJKVUTYQRH/bundle.json","state_url":"https://pith.science/pith/GQZ7JIPFJ53UMO6KMJKVUTYQRH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/GQZ7JIPFJ53UMO6KMJKVUTYQRH/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-07T16:26:29Z","links":{"resolver":"https://pith.science/pith/GQZ7JIPFJ53UMO6KMJKVUTYQRH","bundle":"https://pith.science/pith/GQZ7JIPFJ53UMO6KMJKVUTYQRH/bundle.json","state":"https://pith.science/pith/GQZ7JIPFJ53UMO6KMJKVUTYQRH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/GQZ7JIPFJ53UMO6KMJKVUTYQRH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:GQZ7JIPFJ53UMO6KMJKVUTYQRH","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":"8a2d48c54aaf615fd912f24c4a2a0f9deee27cb42b6c9cab42d5d318beea3fd2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2018-10-01T11:41:11Z","title_canon_sha256":"1fde45254377956986a17e276a67f1f972de3325f0f3574ca252e7f972b51d23"},"schema_version":"1.0","source":{"id":"1810.00631","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1810.00631","created_at":"2026-05-18T00:04:25Z"},{"alias_kind":"arxiv_version","alias_value":"1810.00631v1","created_at":"2026-05-18T00:04:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1810.00631","created_at":"2026-05-18T00:04:25Z"},{"alias_kind":"pith_short_12","alias_value":"GQZ7JIPFJ53U","created_at":"2026-05-18T12:32:25Z"},{"alias_kind":"pith_short_16","alias_value":"GQZ7JIPFJ53UMO6K","created_at":"2026-05-18T12:32:25Z"},{"alias_kind":"pith_short_8","alias_value":"GQZ7JIPF","created_at":"2026-05-18T12:32:25Z"}],"graph_snapshots":[{"event_id":"sha256:4dc22722b9b8df8f1959099624717070592c17c3eaa16e51beef72ebc58b46f5","target":"graph","created_at":"2026-05-18T00:04:25Z","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":"One dimensional lattice with an on-site cubic-quintic nonlinear response described by a cubic-quintic discrete nonlinear Schr\\\"odinger equation is tested for asymmetric wave propagation. The lattice is connected to linear side chains. Asymmetry is introduced by breaking the mirror symmetry of the lattice with respect to the center of the nonlinear region. Three cases corresponding to dimer, trimer and quadrimer are discussed with focus on the corresponding diode-like effect. Transmission coefficients are analytically calculated for left and right moving waves via backward transfer map. The dif","authors_text":"Muhammad Abdul Wasay","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2018-10-01T11:41:11Z","title":"Asymmetric wave transmission through one dimensional lattices with cubic-quintic nonlinearity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1810.00631","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":"sha256:1c8cfdfdd56f103e5c2b4bd8e76dcddab8d99e00b9bb391828b8b0cf62ab02e1","target":"record","created_at":"2026-05-18T00:04:25Z","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":"8a2d48c54aaf615fd912f24c4a2a0f9deee27cb42b6c9cab42d5d318beea3fd2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2018-10-01T11:41:11Z","title_canon_sha256":"1fde45254377956986a17e276a67f1f972de3325f0f3574ca252e7f972b51d23"},"schema_version":"1.0","source":{"id":"1810.00631","kind":"arxiv","version":1}},"canonical_sha256":"3433f4a1e54f77463bca62555a4f1089c94d1668275253c05156a6285dfb9195","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3433f4a1e54f77463bca62555a4f1089c94d1668275253c05156a6285dfb9195","first_computed_at":"2026-05-18T00:04:25.235080Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:04:25.235080Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/3EmGFOmXwBz9sI3zOaU69xvQRJg1RkxAfnfBHrK6JRYRXmQ3DUHP5mum8TKAEh1CWIcq+5nEJsAUIMsShtpCw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:04:25.235581Z","signed_message":"canonical_sha256_bytes"},"source_id":"1810.00631","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1c8cfdfdd56f103e5c2b4bd8e76dcddab8d99e00b9bb391828b8b0cf62ab02e1","sha256:4dc22722b9b8df8f1959099624717070592c17c3eaa16e51beef72ebc58b46f5"],"state_sha256":"0699f7d535917b4e5d1c4a295f0d239f225ebdf5a4d6852c7706b8f496a29536"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wpy/woqZ0sSRmpBEhBmZW1VrWPyxA3dEDlLsehHU8syZes22fnvFmUzqon6n+Qr73lSTbgi6oinMUzecVVDlDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-07T16:26:29.772241Z","bundle_sha256":"e3bd7dc84017eb59430576cda504d3387481f2e64417b76c591d43e346b31bb9"}}