{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:4SVQ6OFRYIFODFGWQS3TE7NWMY","short_pith_number":"pith:4SVQ6OFR","canonical_record":{"source":{"id":"1809.01343","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.app-ph","submitted_at":"2018-09-05T06:15:45Z","cross_cats_sorted":["physics.optics"],"title_canon_sha256":"9893f9828c8d698a0d47a985c4c6835eeb28b8f003ed9583051250d934da4497","abstract_canon_sha256":"37ff69e4b1ce9e276774b63ed25f3f21a62094b39102688fb3ab7de939d1a63b"},"schema_version":"1.0"},"canonical_sha256":"e4ab0f38b1c20ae194d684b7327db66614194f4fd25f193cb8857d99c68a2035","source":{"kind":"arxiv","id":"1809.01343","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1809.01343","created_at":"2026-05-17T23:56:18Z"},{"alias_kind":"arxiv_version","alias_value":"1809.01343v2","created_at":"2026-05-17T23:56:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1809.01343","created_at":"2026-05-17T23:56:18Z"},{"alias_kind":"pith_short_12","alias_value":"4SVQ6OFRYIFO","created_at":"2026-05-18T12:32:05Z"},{"alias_kind":"pith_short_16","alias_value":"4SVQ6OFRYIFODFGW","created_at":"2026-05-18T12:32:05Z"},{"alias_kind":"pith_short_8","alias_value":"4SVQ6OFR","created_at":"2026-05-18T12:32:05Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:4SVQ6OFRYIFODFGWQS3TE7NWMY","target":"record","payload":{"canonical_record":{"source":{"id":"1809.01343","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.app-ph","submitted_at":"2018-09-05T06:15:45Z","cross_cats_sorted":["physics.optics"],"title_canon_sha256":"9893f9828c8d698a0d47a985c4c6835eeb28b8f003ed9583051250d934da4497","abstract_canon_sha256":"37ff69e4b1ce9e276774b63ed25f3f21a62094b39102688fb3ab7de939d1a63b"},"schema_version":"1.0"},"canonical_sha256":"e4ab0f38b1c20ae194d684b7327db66614194f4fd25f193cb8857d99c68a2035","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:56:18.023273Z","signature_b64":"Dr/gqAeTkg6VX8rR4GwqDLUun+rYrJQuQLEeLJWyJxrhbXtn5Sq+NOwXVWBbXgeu1RKrKqWdpTHi/x7m2VT+Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e4ab0f38b1c20ae194d684b7327db66614194f4fd25f193cb8857d99c68a2035","last_reissued_at":"2026-05-17T23:56:18.022600Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:56:18.022600Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1809.01343","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:56:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ccYj3jdDSGBQVtmCI5C51i+DQmTURXHS5zfJuAQDHPJp5dFubS9bMzBxeVzGUCSipgmvp5wTB4kgZd1qbojDAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T20:09:29.598942Z"},"content_sha256":"f270a0584aa6b63dd3b703a81e9ea81c77008f5abbdfc40f4c436a9e982afff8","schema_version":"1.0","event_id":"sha256:f270a0584aa6b63dd3b703a81e9ea81c77008f5abbdfc40f4c436a9e982afff8"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:4SVQ6OFRYIFODFGWQS3TE7NWMY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The Inverse Grating Problem: Efficient Design of Anomalous Flexural Wave Reflectors and Refractors","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.optics"],"primary_cat":"physics.app-ph","authors_text":"Andrew N. Norris, Daniel Torrent, Pawel Packo","submitted_at":"2018-09-05T06:15:45Z","abstract_excerpt":"We present an extensive formulation of the inverse grating problem for exural waves, in which the energy of each diffracted mode is selected and the grating configuration is then obtained by solving a linear system of equations. The grating is designed as a lineal periodic repetition of a unit cell comprising a cluster of resonators attached at points whose physical properties are directly derived by inversion of a given matrix. Although both active and passive attachments can be required in the most general case, it is possible to find configurations with only passive, i.e. damped, solutions."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1809.01343","kind":"arxiv","version":2},"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":"2026-05-17T23:56:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6Tjva6k4xFzADk0JRKlIqM60hjRx8onX/mlSg52VRPdJXuG3xnxeiDUZXr05tpxRnpAKbSTkta+5rfNln9gqDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T20:09:29.599298Z"},"content_sha256":"e4b2801eee08c2086b4b8f9262d296bd5198b421d5eceeab41e7239ee55529c9","schema_version":"1.0","event_id":"sha256:e4b2801eee08c2086b4b8f9262d296bd5198b421d5eceeab41e7239ee55529c9"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4SVQ6OFRYIFODFGWQS3TE7NWMY/bundle.json","state_url":"https://pith.science/pith/4SVQ6OFRYIFODFGWQS3TE7NWMY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4SVQ6OFRYIFODFGWQS3TE7NWMY/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":"2026-05-26T20:09:29Z","links":{"resolver":"https://pith.science/pith/4SVQ6OFRYIFODFGWQS3TE7NWMY","bundle":"https://pith.science/pith/4SVQ6OFRYIFODFGWQS3TE7NWMY/bundle.json","state":"https://pith.science/pith/4SVQ6OFRYIFODFGWQS3TE7NWMY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4SVQ6OFRYIFODFGWQS3TE7NWMY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:4SVQ6OFRYIFODFGWQS3TE7NWMY","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":"37ff69e4b1ce9e276774b63ed25f3f21a62094b39102688fb3ab7de939d1a63b","cross_cats_sorted":["physics.optics"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.app-ph","submitted_at":"2018-09-05T06:15:45Z","title_canon_sha256":"9893f9828c8d698a0d47a985c4c6835eeb28b8f003ed9583051250d934da4497"},"schema_version":"1.0","source":{"id":"1809.01343","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1809.01343","created_at":"2026-05-17T23:56:18Z"},{"alias_kind":"arxiv_version","alias_value":"1809.01343v2","created_at":"2026-05-17T23:56:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1809.01343","created_at":"2026-05-17T23:56:18Z"},{"alias_kind":"pith_short_12","alias_value":"4SVQ6OFRYIFO","created_at":"2026-05-18T12:32:05Z"},{"alias_kind":"pith_short_16","alias_value":"4SVQ6OFRYIFODFGW","created_at":"2026-05-18T12:32:05Z"},{"alias_kind":"pith_short_8","alias_value":"4SVQ6OFR","created_at":"2026-05-18T12:32:05Z"}],"graph_snapshots":[{"event_id":"sha256:e4b2801eee08c2086b4b8f9262d296bd5198b421d5eceeab41e7239ee55529c9","target":"graph","created_at":"2026-05-17T23:56:18Z","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 present an extensive formulation of the inverse grating problem for exural waves, in which the energy of each diffracted mode is selected and the grating configuration is then obtained by solving a linear system of equations. The grating is designed as a lineal periodic repetition of a unit cell comprising a cluster of resonators attached at points whose physical properties are directly derived by inversion of a given matrix. Although both active and passive attachments can be required in the most general case, it is possible to find configurations with only passive, i.e. damped, solutions.","authors_text":"Andrew N. Norris, Daniel Torrent, Pawel Packo","cross_cats":["physics.optics"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.app-ph","submitted_at":"2018-09-05T06:15:45Z","title":"The Inverse Grating Problem: Efficient Design of Anomalous Flexural Wave Reflectors and Refractors"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1809.01343","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:f270a0584aa6b63dd3b703a81e9ea81c77008f5abbdfc40f4c436a9e982afff8","target":"record","created_at":"2026-05-17T23:56:18Z","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":"37ff69e4b1ce9e276774b63ed25f3f21a62094b39102688fb3ab7de939d1a63b","cross_cats_sorted":["physics.optics"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.app-ph","submitted_at":"2018-09-05T06:15:45Z","title_canon_sha256":"9893f9828c8d698a0d47a985c4c6835eeb28b8f003ed9583051250d934da4497"},"schema_version":"1.0","source":{"id":"1809.01343","kind":"arxiv","version":2}},"canonical_sha256":"e4ab0f38b1c20ae194d684b7327db66614194f4fd25f193cb8857d99c68a2035","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e4ab0f38b1c20ae194d684b7327db66614194f4fd25f193cb8857d99c68a2035","first_computed_at":"2026-05-17T23:56:18.022600Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:56:18.022600Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Dr/gqAeTkg6VX8rR4GwqDLUun+rYrJQuQLEeLJWyJxrhbXtn5Sq+NOwXVWBbXgeu1RKrKqWdpTHi/x7m2VT+Dw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:56:18.023273Z","signed_message":"canonical_sha256_bytes"},"source_id":"1809.01343","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f270a0584aa6b63dd3b703a81e9ea81c77008f5abbdfc40f4c436a9e982afff8","sha256:e4b2801eee08c2086b4b8f9262d296bd5198b421d5eceeab41e7239ee55529c9"],"state_sha256":"1bcaaf3df5eeae3cbbe798d0748434b169d175e91031040a8264c701e11f744b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UVFbXkLoIdQ3xBRB92BehzhyQyCp6k5n9JaoGopedvtM43sZjy873GQ7AfeQ/zcekPN1FZi04ZENSgG+QQZ7AA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T20:09:29.601831Z","bundle_sha256":"3772d025bb272c008f9bfd7bcbd1bbba7776e901b6509768e097afbd2b0b234a"}}