{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:CZR64NJKXJAFDORGOAOJOOMI5G","short_pith_number":"pith:CZR64NJK","canonical_record":{"source":{"id":"1609.03841","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.class-ph","submitted_at":"2016-09-13T14:05:42Z","cross_cats_sorted":[],"title_canon_sha256":"4241da56ce34f3b19df3a184cba83cfc87402f7aed909c8c1205001da82e926f","abstract_canon_sha256":"cf32ab3dbfc40105ab148d0808c55c296e08d823b496461ac0f646590e74543e"},"schema_version":"1.0"},"canonical_sha256":"1663ee352aba4051ba26701c973988e9b0531ca71ffbb2753db0e52100c4680f","source":{"kind":"arxiv","id":"1609.03841","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1609.03841","created_at":"2026-05-18T00:46:59Z"},{"alias_kind":"arxiv_version","alias_value":"1609.03841v2","created_at":"2026-05-18T00:46:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1609.03841","created_at":"2026-05-18T00:46:59Z"},{"alias_kind":"pith_short_12","alias_value":"CZR64NJKXJAF","created_at":"2026-05-18T12:30:09Z"},{"alias_kind":"pith_short_16","alias_value":"CZR64NJKXJAFDORG","created_at":"2026-05-18T12:30:09Z"},{"alias_kind":"pith_short_8","alias_value":"CZR64NJK","created_at":"2026-05-18T12:30:09Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:CZR64NJKXJAFDORGOAOJOOMI5G","target":"record","payload":{"canonical_record":{"source":{"id":"1609.03841","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.class-ph","submitted_at":"2016-09-13T14:05:42Z","cross_cats_sorted":[],"title_canon_sha256":"4241da56ce34f3b19df3a184cba83cfc87402f7aed909c8c1205001da82e926f","abstract_canon_sha256":"cf32ab3dbfc40105ab148d0808c55c296e08d823b496461ac0f646590e74543e"},"schema_version":"1.0"},"canonical_sha256":"1663ee352aba4051ba26701c973988e9b0531ca71ffbb2753db0e52100c4680f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:46:59.493580Z","signature_b64":"1GI0Hg3f4PRfhpddoMa/ZLeLpzqecf4wAOUt55ILEkfwrPDJcocswz3Ef7Qjie6/BwUZ6ZkQxapMJDVSGGA8DQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1663ee352aba4051ba26701c973988e9b0531ca71ffbb2753db0e52100c4680f","last_reissued_at":"2026-05-18T00:46:59.492919Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:46:59.492919Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1609.03841","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":"2026-05-18T00:46:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pPuVBgpPEMQKjwJD1TpsNsoeBhuX7u2rYH0JlPMY4ze7cxPAybtF22C+cFraJLoZgQd16v8NVaFmrS4oqLNqDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T22:37:34.520850Z"},"content_sha256":"36e46fd86ce08712cd0a5e4860ee054313406659e7a7498ea913562c5fdd31ea","schema_version":"1.0","event_id":"sha256:36e46fd86ce08712cd0a5e4860ee054313406659e7a7498ea913562c5fdd31ea"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:CZR64NJKXJAFDORGOAOJOOMI5G","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A two-way model for nonlinear acoustic waves in a non-uniform lattice of Helmholtz resonators","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.class-ph","authors_text":"Bruno Lombard (OandI, Jean-Fran\\c{c}ois Mercier (POEMS), LMA)","submitted_at":"2016-09-13T14:05:42Z","abstract_excerpt":"Propagation of high amplitude acoustic pulses is studied in a 1D waveguide connected to a lattice of Helmholtz resonators. An homogenized model has been proposed by Sugimoto (J. Fluid. Mech., \\textbf{244} (1992)), taking into account both the nonlinear wave propagation and various mechanisms of dissipation. This model is extended here to take into account two important features: resonators of different strengths and back-scattering effects. An energy balance is obtained, and a numerical method is developed. A closer agreement is reached between numerical and experimental results. Numerical exp"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.03841","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":"2026-05-18T00:46:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"d4IxM5Hl7AgMPVRw06AAG6NtwiccHhMmMRQa6LsMzcONtnJ5sMkzgSDT5OJB5mQ/AuJl5K9I/rz5+hi0Z0kOCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T22:37:34.521189Z"},"content_sha256":"96a9d505a48deaa20a3679af406fa97b4128d8b712d4e38d515e349a00221f2a","schema_version":"1.0","event_id":"sha256:96a9d505a48deaa20a3679af406fa97b4128d8b712d4e38d515e349a00221f2a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CZR64NJKXJAFDORGOAOJOOMI5G/bundle.json","state_url":"https://pith.science/pith/CZR64NJKXJAFDORGOAOJOOMI5G/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CZR64NJKXJAFDORGOAOJOOMI5G/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":"2026-06-24T22:37:34Z","links":{"resolver":"https://pith.science/pith/CZR64NJKXJAFDORGOAOJOOMI5G","bundle":"https://pith.science/pith/CZR64NJKXJAFDORGOAOJOOMI5G/bundle.json","state":"https://pith.science/pith/CZR64NJKXJAFDORGOAOJOOMI5G/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CZR64NJKXJAFDORGOAOJOOMI5G/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:CZR64NJKXJAFDORGOAOJOOMI5G","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":"cf32ab3dbfc40105ab148d0808c55c296e08d823b496461ac0f646590e74543e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.class-ph","submitted_at":"2016-09-13T14:05:42Z","title_canon_sha256":"4241da56ce34f3b19df3a184cba83cfc87402f7aed909c8c1205001da82e926f"},"schema_version":"1.0","source":{"id":"1609.03841","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1609.03841","created_at":"2026-05-18T00:46:59Z"},{"alias_kind":"arxiv_version","alias_value":"1609.03841v2","created_at":"2026-05-18T00:46:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1609.03841","created_at":"2026-05-18T00:46:59Z"},{"alias_kind":"pith_short_12","alias_value":"CZR64NJKXJAF","created_at":"2026-05-18T12:30:09Z"},{"alias_kind":"pith_short_16","alias_value":"CZR64NJKXJAFDORG","created_at":"2026-05-18T12:30:09Z"},{"alias_kind":"pith_short_8","alias_value":"CZR64NJK","created_at":"2026-05-18T12:30:09Z"}],"graph_snapshots":[{"event_id":"sha256:96a9d505a48deaa20a3679af406fa97b4128d8b712d4e38d515e349a00221f2a","target":"graph","created_at":"2026-05-18T00:46:59Z","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":"Propagation of high amplitude acoustic pulses is studied in a 1D waveguide connected to a lattice of Helmholtz resonators. An homogenized model has been proposed by Sugimoto (J. Fluid. Mech., \\textbf{244} (1992)), taking into account both the nonlinear wave propagation and various mechanisms of dissipation. This model is extended here to take into account two important features: resonators of different strengths and back-scattering effects. An energy balance is obtained, and a numerical method is developed. A closer agreement is reached between numerical and experimental results. Numerical exp","authors_text":"Bruno Lombard (OandI, Jean-Fran\\c{c}ois Mercier (POEMS), LMA)","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.class-ph","submitted_at":"2016-09-13T14:05:42Z","title":"A two-way model for nonlinear acoustic waves in a non-uniform lattice of Helmholtz resonators"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.03841","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":"sha256:36e46fd86ce08712cd0a5e4860ee054313406659e7a7498ea913562c5fdd31ea","target":"record","created_at":"2026-05-18T00:46:59Z","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":"cf32ab3dbfc40105ab148d0808c55c296e08d823b496461ac0f646590e74543e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.class-ph","submitted_at":"2016-09-13T14:05:42Z","title_canon_sha256":"4241da56ce34f3b19df3a184cba83cfc87402f7aed909c8c1205001da82e926f"},"schema_version":"1.0","source":{"id":"1609.03841","kind":"arxiv","version":2}},"canonical_sha256":"1663ee352aba4051ba26701c973988e9b0531ca71ffbb2753db0e52100c4680f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1663ee352aba4051ba26701c973988e9b0531ca71ffbb2753db0e52100c4680f","first_computed_at":"2026-05-18T00:46:59.492919Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:46:59.492919Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1GI0Hg3f4PRfhpddoMa/ZLeLpzqecf4wAOUt55ILEkfwrPDJcocswz3Ef7Qjie6/BwUZ6ZkQxapMJDVSGGA8DQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:46:59.493580Z","signed_message":"canonical_sha256_bytes"},"source_id":"1609.03841","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:36e46fd86ce08712cd0a5e4860ee054313406659e7a7498ea913562c5fdd31ea","sha256:96a9d505a48deaa20a3679af406fa97b4128d8b712d4e38d515e349a00221f2a"],"state_sha256":"4f075c9048c3fd438eb20988a6e22a71f13d278546daa71796a993c0cd5ac61a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Nfd1Oje0xHCIWo7I7q9nWthbRjSphlMu+EIhxJQpIEBj3X9Laj5GEQHslckfi9gs3fCfGizzvZ6ryDMJA0G5CQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-24T22:37:34.523138Z","bundle_sha256":"f636d69eb12068bfdd672c08badb6ce2b904d5bc68393bba5d43be68aadf547e"}}