{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:X3FIILGD5W4UHM3YX4PJFKU6SY","short_pith_number":"pith:X3FIILGD","canonical_record":{"source":{"id":"1706.08103","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.app-ph","submitted_at":"2017-06-25T13:44:40Z","cross_cats_sorted":[],"title_canon_sha256":"a753a8adbe22586b675489224519af25ed72f74580bd7fe78696f2967a529b7d","abstract_canon_sha256":"4ec850e2ed9f257316bbed3b1e0af01e7d4db0c17922ee0306981c60474a4ab9"},"schema_version":"1.0"},"canonical_sha256":"beca842cc3edb943b378bf1e92aa9e960767364431c9da29ac150b295cf55aaa","source":{"kind":"arxiv","id":"1706.08103","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1706.08103","created_at":"2026-05-18T00:41:43Z"},{"alias_kind":"arxiv_version","alias_value":"1706.08103v1","created_at":"2026-05-18T00:41:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1706.08103","created_at":"2026-05-18T00:41:43Z"},{"alias_kind":"pith_short_12","alias_value":"X3FIILGD5W4U","created_at":"2026-05-18T12:31:53Z"},{"alias_kind":"pith_short_16","alias_value":"X3FIILGD5W4UHM3Y","created_at":"2026-05-18T12:31:53Z"},{"alias_kind":"pith_short_8","alias_value":"X3FIILGD","created_at":"2026-05-18T12:31:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:X3FIILGD5W4UHM3YX4PJFKU6SY","target":"record","payload":{"canonical_record":{"source":{"id":"1706.08103","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.app-ph","submitted_at":"2017-06-25T13:44:40Z","cross_cats_sorted":[],"title_canon_sha256":"a753a8adbe22586b675489224519af25ed72f74580bd7fe78696f2967a529b7d","abstract_canon_sha256":"4ec850e2ed9f257316bbed3b1e0af01e7d4db0c17922ee0306981c60474a4ab9"},"schema_version":"1.0"},"canonical_sha256":"beca842cc3edb943b378bf1e92aa9e960767364431c9da29ac150b295cf55aaa","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:41:43.515477Z","signature_b64":"MmFE3Nn1hsuUk5fVV7qD+mBjSmIdwsQH6CIQimNC90PUYuI3nfXAAPYqqwEpmGKNGlQQidxMJyws4sMUgXJ4CQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"beca842cc3edb943b378bf1e92aa9e960767364431c9da29ac150b295cf55aaa","last_reissued_at":"2026-05-18T00:41:43.514826Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:41:43.514826Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1706.08103","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":"2026-05-18T00:41:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VU+uY26jzW+oAzzlAaila192r4ox1E6gHKqcZMyVCo2UHdPc/12zpbgshnps0ZfWimMO46nmCO6yOS9t9ZWIAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T16:24:35.225784Z"},"content_sha256":"57e39be6b1585d3ec28e86d32d752e3fc9b00680dbbcc4820735ca8fe2c86de0","schema_version":"1.0","event_id":"sha256:57e39be6b1585d3ec28e86d32d752e3fc9b00680dbbcc4820735ca8fe2c86de0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:X3FIILGD5W4UHM3YX4PJFKU6SY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Amplitude Stochastic Response of Rayleigh Beams to Randomly Moving Loads","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.app-ph","authors_text":"B. R. Nana Nbendjo, G. Filatrella, L. M. Anague Tabejieu, P. Woafo","submitted_at":"2017-06-25T13:44:40Z","abstract_excerpt":"We consider the problem of the nonlinear response of a Rayleigh beam to the passage of a train of forces moving with stochastic velocity. The Fourier transform and the theory of residues is used to estimate the mean-square amplitude of the beam, while the stochastic averaging method gives the stationary probability density function of the oscillations amplitude. The analysis shows that the effect of the load random velocities is highly nonlinear, leading to a nonmonotonic behavior of the mean amplitude versus the intensity of the stochastic term and of the load weight. The analytic approach is"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1706.08103","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":"2026-05-18T00:41:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TdMounXrerLoE+1vE5Iz3RtoSCtHgX7ot0AnCuOxx0im1hYZa5FOg8ioa7DCpF0669xQVp99nJRrKyjk0x4eDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T16:24:35.226421Z"},"content_sha256":"f15fbad0d464d0dccd75f717e6750e35386356d405470137893eaf7e852e509c","schema_version":"1.0","event_id":"sha256:f15fbad0d464d0dccd75f717e6750e35386356d405470137893eaf7e852e509c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/X3FIILGD5W4UHM3YX4PJFKU6SY/bundle.json","state_url":"https://pith.science/pith/X3FIILGD5W4UHM3YX4PJFKU6SY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/X3FIILGD5W4UHM3YX4PJFKU6SY/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":"2026-06-06T16:24:35Z","links":{"resolver":"https://pith.science/pith/X3FIILGD5W4UHM3YX4PJFKU6SY","bundle":"https://pith.science/pith/X3FIILGD5W4UHM3YX4PJFKU6SY/bundle.json","state":"https://pith.science/pith/X3FIILGD5W4UHM3YX4PJFKU6SY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/X3FIILGD5W4UHM3YX4PJFKU6SY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:X3FIILGD5W4UHM3YX4PJFKU6SY","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":"4ec850e2ed9f257316bbed3b1e0af01e7d4db0c17922ee0306981c60474a4ab9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.app-ph","submitted_at":"2017-06-25T13:44:40Z","title_canon_sha256":"a753a8adbe22586b675489224519af25ed72f74580bd7fe78696f2967a529b7d"},"schema_version":"1.0","source":{"id":"1706.08103","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1706.08103","created_at":"2026-05-18T00:41:43Z"},{"alias_kind":"arxiv_version","alias_value":"1706.08103v1","created_at":"2026-05-18T00:41:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1706.08103","created_at":"2026-05-18T00:41:43Z"},{"alias_kind":"pith_short_12","alias_value":"X3FIILGD5W4U","created_at":"2026-05-18T12:31:53Z"},{"alias_kind":"pith_short_16","alias_value":"X3FIILGD5W4UHM3Y","created_at":"2026-05-18T12:31:53Z"},{"alias_kind":"pith_short_8","alias_value":"X3FIILGD","created_at":"2026-05-18T12:31:53Z"}],"graph_snapshots":[{"event_id":"sha256:f15fbad0d464d0dccd75f717e6750e35386356d405470137893eaf7e852e509c","target":"graph","created_at":"2026-05-18T00:41:43Z","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 the problem of the nonlinear response of a Rayleigh beam to the passage of a train of forces moving with stochastic velocity. The Fourier transform and the theory of residues is used to estimate the mean-square amplitude of the beam, while the stochastic averaging method gives the stationary probability density function of the oscillations amplitude. The analysis shows that the effect of the load random velocities is highly nonlinear, leading to a nonmonotonic behavior of the mean amplitude versus the intensity of the stochastic term and of the load weight. The analytic approach is","authors_text":"B. R. Nana Nbendjo, G. Filatrella, L. M. Anague Tabejieu, P. Woafo","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.app-ph","submitted_at":"2017-06-25T13:44:40Z","title":"Amplitude Stochastic Response of Rayleigh Beams to Randomly Moving Loads"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1706.08103","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":"sha256:57e39be6b1585d3ec28e86d32d752e3fc9b00680dbbcc4820735ca8fe2c86de0","target":"record","created_at":"2026-05-18T00:41:43Z","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":"4ec850e2ed9f257316bbed3b1e0af01e7d4db0c17922ee0306981c60474a4ab9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.app-ph","submitted_at":"2017-06-25T13:44:40Z","title_canon_sha256":"a753a8adbe22586b675489224519af25ed72f74580bd7fe78696f2967a529b7d"},"schema_version":"1.0","source":{"id":"1706.08103","kind":"arxiv","version":1}},"canonical_sha256":"beca842cc3edb943b378bf1e92aa9e960767364431c9da29ac150b295cf55aaa","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"beca842cc3edb943b378bf1e92aa9e960767364431c9da29ac150b295cf55aaa","first_computed_at":"2026-05-18T00:41:43.514826Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:41:43.514826Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"MmFE3Nn1hsuUk5fVV7qD+mBjSmIdwsQH6CIQimNC90PUYuI3nfXAAPYqqwEpmGKNGlQQidxMJyws4sMUgXJ4CQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:41:43.515477Z","signed_message":"canonical_sha256_bytes"},"source_id":"1706.08103","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:57e39be6b1585d3ec28e86d32d752e3fc9b00680dbbcc4820735ca8fe2c86de0","sha256:f15fbad0d464d0dccd75f717e6750e35386356d405470137893eaf7e852e509c"],"state_sha256":"267d5d3a23a21a5f33c61a65fbe237036e4a097df9b6a3c7ae7d398de1c76a4b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZyG0sy/K/ILv04ozjQqKRyrV7VbyB5CHugc2pQCAi81XtYPyLPFy+9kFM0lMoMzHkfxIIJWwplWcNC1IzDEtDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-06T16:24:35.229878Z","bundle_sha256":"9a14b5de72f58aed4244ebba9201eee97c21db1a3908c45475657aad12700015"}}