{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:BYZEVYVDSMW4L76GYYMXHTNBWS","short_pith_number":"pith:BYZEVYVD","canonical_record":{"source":{"id":"1207.5676","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-07-24T12:24:07Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"f8bd7e0af294f3c614e27259c6abab2258143b7fb8c9c0ca2d0ea3e06f7d62c4","abstract_canon_sha256":"bf6e9d9ce4eed743d7aab7d7e6f6da961f981c4b46e473e735486b8bcef33ff5"},"schema_version":"1.0"},"canonical_sha256":"0e324ae2a3932dc5ffc6c61973cda1b4881bd6d5832e018adaab7dd6eb3f15fb","source":{"kind":"arxiv","id":"1207.5676","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1207.5676","created_at":"2026-05-18T02:26:46Z"},{"alias_kind":"arxiv_version","alias_value":"1207.5676v2","created_at":"2026-05-18T02:26:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1207.5676","created_at":"2026-05-18T02:26:46Z"},{"alias_kind":"pith_short_12","alias_value":"BYZEVYVDSMW4","created_at":"2026-05-18T12:27:01Z"},{"alias_kind":"pith_short_16","alias_value":"BYZEVYVDSMW4L76G","created_at":"2026-05-18T12:27:01Z"},{"alias_kind":"pith_short_8","alias_value":"BYZEVYVD","created_at":"2026-05-18T12:27:01Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:BYZEVYVDSMW4L76GYYMXHTNBWS","target":"record","payload":{"canonical_record":{"source":{"id":"1207.5676","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-07-24T12:24:07Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"f8bd7e0af294f3c614e27259c6abab2258143b7fb8c9c0ca2d0ea3e06f7d62c4","abstract_canon_sha256":"bf6e9d9ce4eed743d7aab7d7e6f6da961f981c4b46e473e735486b8bcef33ff5"},"schema_version":"1.0"},"canonical_sha256":"0e324ae2a3932dc5ffc6c61973cda1b4881bd6d5832e018adaab7dd6eb3f15fb","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:26:46.088822Z","signature_b64":"cpDNtwrWURZfUfhBrXyt3Ue2SaapmD2hY8zTmVkScVQ3OLhs9zMifMAt4ssr0QbJk9+jh4mTtHQgUE7ebiQGAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0e324ae2a3932dc5ffc6c61973cda1b4881bd6d5832e018adaab7dd6eb3f15fb","last_reissued_at":"2026-05-18T02:26:46.088336Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:26:46.088336Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1207.5676","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":"2026-05-18T02:26:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BxcUU4pEkp3N+bTiV5KqDU7c1TIZSuL2M98HaWJ7ihGlfziG5EbWvcpTsbkgnqpPZlCoO8rJ4v3YzOV3LvUYCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T11:26:43.282584Z"},"content_sha256":"8bed99816686be9a46bc82e5ba1904adbd9af990a583d23b136a114c8e1c26ea","schema_version":"1.0","event_id":"sha256:8bed99816686be9a46bc82e5ba1904adbd9af990a583d23b136a114c8e1c26ea"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:BYZEVYVDSMW4L76GYYMXHTNBWS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Effective equation for a system of mechanical oscillators in an acoustic field","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Andrea Posilicano, Claudio Cacciapuoti, Rodolfo Figari","submitted_at":"2012-07-24T12:24:07Z","abstract_excerpt":"We consider a one dimensional evolution problem modeling the dynamics of an acoustic field coupled with a set of mechanical oscillators. We analyze solutions of the system of ordinary and partial differential equations with time-dependent boundary conditions describing the evolution in the limit of a continuous distribution of oscillators."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1207.5676","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":"2026-05-18T02:26:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6moJZwdUKcjmLOdtov51R715uvJ2uNzQaxCKwlKEiuLCAk47qPCepk49UToRAGJArHyAsS2bfBmJuwVJEvE/Aw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T11:26:43.282949Z"},"content_sha256":"129f209f39c289923d566f2e62b1e2760213942f96e3671b2ffab31252e60f8a","schema_version":"1.0","event_id":"sha256:129f209f39c289923d566f2e62b1e2760213942f96e3671b2ffab31252e60f8a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/BYZEVYVDSMW4L76GYYMXHTNBWS/bundle.json","state_url":"https://pith.science/pith/BYZEVYVDSMW4L76GYYMXHTNBWS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/BYZEVYVDSMW4L76GYYMXHTNBWS/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":"2026-06-26T11:26:43Z","links":{"resolver":"https://pith.science/pith/BYZEVYVDSMW4L76GYYMXHTNBWS","bundle":"https://pith.science/pith/BYZEVYVDSMW4L76GYYMXHTNBWS/bundle.json","state":"https://pith.science/pith/BYZEVYVDSMW4L76GYYMXHTNBWS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/BYZEVYVDSMW4L76GYYMXHTNBWS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:BYZEVYVDSMW4L76GYYMXHTNBWS","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":"bf6e9d9ce4eed743d7aab7d7e6f6da961f981c4b46e473e735486b8bcef33ff5","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-07-24T12:24:07Z","title_canon_sha256":"f8bd7e0af294f3c614e27259c6abab2258143b7fb8c9c0ca2d0ea3e06f7d62c4"},"schema_version":"1.0","source":{"id":"1207.5676","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1207.5676","created_at":"2026-05-18T02:26:46Z"},{"alias_kind":"arxiv_version","alias_value":"1207.5676v2","created_at":"2026-05-18T02:26:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1207.5676","created_at":"2026-05-18T02:26:46Z"},{"alias_kind":"pith_short_12","alias_value":"BYZEVYVDSMW4","created_at":"2026-05-18T12:27:01Z"},{"alias_kind":"pith_short_16","alias_value":"BYZEVYVDSMW4L76G","created_at":"2026-05-18T12:27:01Z"},{"alias_kind":"pith_short_8","alias_value":"BYZEVYVD","created_at":"2026-05-18T12:27:01Z"}],"graph_snapshots":[{"event_id":"sha256:129f209f39c289923d566f2e62b1e2760213942f96e3671b2ffab31252e60f8a","target":"graph","created_at":"2026-05-18T02:26:46Z","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 consider a one dimensional evolution problem modeling the dynamics of an acoustic field coupled with a set of mechanical oscillators. We analyze solutions of the system of ordinary and partial differential equations with time-dependent boundary conditions describing the evolution in the limit of a continuous distribution of oscillators.","authors_text":"Andrea Posilicano, Claudio Cacciapuoti, Rodolfo Figari","cross_cats":["math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-07-24T12:24:07Z","title":"Effective equation for a system of mechanical oscillators in an acoustic field"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1207.5676","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":"sha256:8bed99816686be9a46bc82e5ba1904adbd9af990a583d23b136a114c8e1c26ea","target":"record","created_at":"2026-05-18T02:26:46Z","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":"bf6e9d9ce4eed743d7aab7d7e6f6da961f981c4b46e473e735486b8bcef33ff5","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-07-24T12:24:07Z","title_canon_sha256":"f8bd7e0af294f3c614e27259c6abab2258143b7fb8c9c0ca2d0ea3e06f7d62c4"},"schema_version":"1.0","source":{"id":"1207.5676","kind":"arxiv","version":2}},"canonical_sha256":"0e324ae2a3932dc5ffc6c61973cda1b4881bd6d5832e018adaab7dd6eb3f15fb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0e324ae2a3932dc5ffc6c61973cda1b4881bd6d5832e018adaab7dd6eb3f15fb","first_computed_at":"2026-05-18T02:26:46.088336Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:26:46.088336Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"cpDNtwrWURZfUfhBrXyt3Ue2SaapmD2hY8zTmVkScVQ3OLhs9zMifMAt4ssr0QbJk9+jh4mTtHQgUE7ebiQGAw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:26:46.088822Z","signed_message":"canonical_sha256_bytes"},"source_id":"1207.5676","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8bed99816686be9a46bc82e5ba1904adbd9af990a583d23b136a114c8e1c26ea","sha256:129f209f39c289923d566f2e62b1e2760213942f96e3671b2ffab31252e60f8a"],"state_sha256":"fb9ab04f1febba008fa83038b97f8377748d84cd6759368a3fc2ff899ec8442f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gbi0lJcryJVmR67e8Af3NcBa8SomTE40PXo48iAOdzBZm9Foa8IHChRd/Qj9PhnPlrVPfSChxTQ5Nw/n/qBWAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-26T11:26:43.285068Z","bundle_sha256":"be7c6479b99ef1e4cd4beab6c1ef52d496d7c162bf0a901df05f41fa8a6b46ea"}}