{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:X46HK7YJM4ESDCSPGXMCOJ23AI","short_pith_number":"pith:X46HK7YJ","canonical_record":{"source":{"id":"2503.23351","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"physics.app-ph","submitted_at":"2025-03-30T08:15:44Z","cross_cats_sorted":[],"title_canon_sha256":"e33eb1839c4cb60aa0a0cb4cfd93d81f50f4eb5a201bc4d1fa2f6893c4d2c7de","abstract_canon_sha256":"765040f2c86899658fe96c32a021c4872b60f16deb97795da53f29124d31ebf0"},"schema_version":"1.0"},"canonical_sha256":"bf3c757f096709218a4f35d827275b0205c317f62344981a7c1facae660abe62","source":{"kind":"arxiv","id":"2503.23351","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2503.23351","created_at":"2026-07-05T10:41:34Z"},{"alias_kind":"arxiv_version","alias_value":"2503.23351v1","created_at":"2026-07-05T10:41:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2503.23351","created_at":"2026-07-05T10:41:34Z"},{"alias_kind":"pith_short_12","alias_value":"X46HK7YJM4ES","created_at":"2026-07-05T10:41:34Z"},{"alias_kind":"pith_short_16","alias_value":"X46HK7YJM4ESDCSP","created_at":"2026-07-05T10:41:34Z"},{"alias_kind":"pith_short_8","alias_value":"X46HK7YJ","created_at":"2026-07-05T10:41:34Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:X46HK7YJM4ESDCSPGXMCOJ23AI","target":"record","payload":{"canonical_record":{"source":{"id":"2503.23351","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"physics.app-ph","submitted_at":"2025-03-30T08:15:44Z","cross_cats_sorted":[],"title_canon_sha256":"e33eb1839c4cb60aa0a0cb4cfd93d81f50f4eb5a201bc4d1fa2f6893c4d2c7de","abstract_canon_sha256":"765040f2c86899658fe96c32a021c4872b60f16deb97795da53f29124d31ebf0"},"schema_version":"1.0"},"canonical_sha256":"bf3c757f096709218a4f35d827275b0205c317f62344981a7c1facae660abe62","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:41:34.844602Z","signature_b64":"nIlzKBJKj8ovg4RCBTOFoZDmZyv7Q8UvexOLZbBPBLrHaArmA86Z4GT+bPPJ/7UsZpE8j3k5tcW1/FUqwwVvAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bf3c757f096709218a4f35d827275b0205c317f62344981a7c1facae660abe62","last_reissued_at":"2026-07-05T10:41:34.844104Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:41:34.844104Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2503.23351","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":"2026-07-05T10:41:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"txt41cICQjbjEF6PVP4B4UdSMOrgRzG1z/hlGCSDCAdGBjsNqyeEX1KWU8/sJXkfFcszj7gfFVP/Nj8gE1IDCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T11:34:58.326728Z"},"content_sha256":"d1b1836ac5cf11c8e931da63e023bc3c8a346dc1e84dd7e3ae270c7dddc526d9","schema_version":"1.0","event_id":"sha256:d1b1836ac5cf11c8e931da63e023bc3c8a346dc1e84dd7e3ae270c7dddc526d9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:X46HK7YJM4ESDCSPGXMCOJ23AI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Weak scattering formulation for flexural waves in thin elastic plates with point-like resonators","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","headline":"","cross_cats":[],"primary_cat":"physics.app-ph","authors_text":"Marc Mart\\'i-Sabat\\'e, Mario L\\'azaro, Richard V. Craster, Vicent Romero-Garc\\'ia","submitted_at":"2025-03-30T08:15:44Z","abstract_excerpt":"A theoretical study on the weak scattering formulation for flexural waves in thin elastic plates loaded by point-like resonators is reported. Our approach employs the Born approximation and far-field asymptotics of the Green function to characterize multiple scattering effects in this system. The response of the system to an incident wave can be expressed as a power series expansion, where each term introduces higher-order scattering components. The behavior of this series is governed by the spectral properties of a specific matrix, which dictates the convergence and accuracy of the weak scatt"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2503.23351","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2503.23351/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T10:41:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VjJTWaVxC5OhLdc7iUfw5zkdDzW6n5I00GPPmdMasjYdeLfJD48AptEsb+x7Ck6KUDhDbrUQT7vwApCy2WOuDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T11:34:58.327667Z"},"content_sha256":"fee9e06f813198fb8b36943b901b255a3be570ff7dda911ba3d0fa772fa6d0c1","schema_version":"1.0","event_id":"sha256:fee9e06f813198fb8b36943b901b255a3be570ff7dda911ba3d0fa772fa6d0c1"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/X46HK7YJM4ESDCSPGXMCOJ23AI/bundle.json","state_url":"https://pith.science/pith/X46HK7YJM4ESDCSPGXMCOJ23AI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/X46HK7YJM4ESDCSPGXMCOJ23AI/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":"2026-08-13T11:34:58Z","links":{"resolver":"https://pith.science/pith/X46HK7YJM4ESDCSPGXMCOJ23AI","bundle":"https://pith.science/pith/X46HK7YJM4ESDCSPGXMCOJ23AI/bundle.json","state":"https://pith.science/pith/X46HK7YJM4ESDCSPGXMCOJ23AI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/X46HK7YJM4ESDCSPGXMCOJ23AI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:X46HK7YJM4ESDCSPGXMCOJ23AI","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":"765040f2c86899658fe96c32a021c4872b60f16deb97795da53f29124d31ebf0","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"physics.app-ph","submitted_at":"2025-03-30T08:15:44Z","title_canon_sha256":"e33eb1839c4cb60aa0a0cb4cfd93d81f50f4eb5a201bc4d1fa2f6893c4d2c7de"},"schema_version":"1.0","source":{"id":"2503.23351","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2503.23351","created_at":"2026-07-05T10:41:34Z"},{"alias_kind":"arxiv_version","alias_value":"2503.23351v1","created_at":"2026-07-05T10:41:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2503.23351","created_at":"2026-07-05T10:41:34Z"},{"alias_kind":"pith_short_12","alias_value":"X46HK7YJM4ES","created_at":"2026-07-05T10:41:34Z"},{"alias_kind":"pith_short_16","alias_value":"X46HK7YJM4ESDCSP","created_at":"2026-07-05T10:41:34Z"},{"alias_kind":"pith_short_8","alias_value":"X46HK7YJ","created_at":"2026-07-05T10:41:34Z"}],"graph_snapshots":[{"event_id":"sha256:fee9e06f813198fb8b36943b901b255a3be570ff7dda911ba3d0fa772fa6d0c1","target":"graph","created_at":"2026-07-05T10:41:34Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2503.23351/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"A theoretical study on the weak scattering formulation for flexural waves in thin elastic plates loaded by point-like resonators is reported. Our approach employs the Born approximation and far-field asymptotics of the Green function to characterize multiple scattering effects in this system. The response of the system to an incident wave can be expressed as a power series expansion, where each term introduces higher-order scattering components. The behavior of this series is governed by the spectral properties of a specific matrix, which dictates the convergence and accuracy of the weak scatt","authors_text":"Marc Mart\\'i-Sabat\\'e, Mario L\\'azaro, Richard V. Craster, Vicent Romero-Garc\\'ia","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"physics.app-ph","submitted_at":"2025-03-30T08:15:44Z","title":"Weak scattering formulation for flexural waves in thin elastic plates with point-like resonators"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2503.23351","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:d1b1836ac5cf11c8e931da63e023bc3c8a346dc1e84dd7e3ae270c7dddc526d9","target":"record","created_at":"2026-07-05T10:41:34Z","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":"765040f2c86899658fe96c32a021c4872b60f16deb97795da53f29124d31ebf0","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"physics.app-ph","submitted_at":"2025-03-30T08:15:44Z","title_canon_sha256":"e33eb1839c4cb60aa0a0cb4cfd93d81f50f4eb5a201bc4d1fa2f6893c4d2c7de"},"schema_version":"1.0","source":{"id":"2503.23351","kind":"arxiv","version":1}},"canonical_sha256":"bf3c757f096709218a4f35d827275b0205c317f62344981a7c1facae660abe62","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bf3c757f096709218a4f35d827275b0205c317f62344981a7c1facae660abe62","first_computed_at":"2026-07-05T10:41:34.844104Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:41:34.844104Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"nIlzKBJKj8ovg4RCBTOFoZDmZyv7Q8UvexOLZbBPBLrHaArmA86Z4GT+bPPJ/7UsZpE8j3k5tcW1/FUqwwVvAA==","signature_status":"signed_v1","signed_at":"2026-07-05T10:41:34.844602Z","signed_message":"canonical_sha256_bytes"},"source_id":"2503.23351","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d1b1836ac5cf11c8e931da63e023bc3c8a346dc1e84dd7e3ae270c7dddc526d9","sha256:fee9e06f813198fb8b36943b901b255a3be570ff7dda911ba3d0fa772fa6d0c1"],"state_sha256":"7ca2371c3914b67bed284f1258053287b8e9387be6fee35471f501247dd20b21"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dISZW2YzB1o8sFRfVRY72YxXoeTa/ETqNyk3mzpnqRLV7R3IWDNDbnGPdg2OMvUYc3gB8AYf1EArP+siI91XAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-13T11:34:58.333837Z","bundle_sha256":"56d3d637a64276cf3934dbdda2c7e638a290450d15fa8d479dbffbd5740e2276"}}