{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:E3XFVE3OH4TTESP7HBAB5H5CHN","short_pith_number":"pith:E3XFVE3O","canonical_record":{"source":{"id":"1601.04638","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2016-01-18T18:14:40Z","cross_cats_sorted":["math-ph","math.DS","math.MP"],"title_canon_sha256":"dabfaa258836f06658803fbdb17757e657fb70ae69ad28cfd6e008252686b331","abstract_canon_sha256":"36e4038f1d86ffec55c2be2dd017e11326a76eb2d6ea3b8e11d0ddc730e41c0a"},"schema_version":"1.0"},"canonical_sha256":"26ee5a936e3f273249ff38401e9fa23b4d7074e26f5b882b0c84aa4298874f5b","source":{"kind":"arxiv","id":"1601.04638","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1601.04638","created_at":"2026-05-18T00:45:30Z"},{"alias_kind":"arxiv_version","alias_value":"1601.04638v2","created_at":"2026-05-18T00:45:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1601.04638","created_at":"2026-05-18T00:45:30Z"},{"alias_kind":"pith_short_12","alias_value":"E3XFVE3OH4TT","created_at":"2026-05-18T12:30:12Z"},{"alias_kind":"pith_short_16","alias_value":"E3XFVE3OH4TTESP7","created_at":"2026-05-18T12:30:12Z"},{"alias_kind":"pith_short_8","alias_value":"E3XFVE3O","created_at":"2026-05-18T12:30:12Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:E3XFVE3OH4TTESP7HBAB5H5CHN","target":"record","payload":{"canonical_record":{"source":{"id":"1601.04638","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2016-01-18T18:14:40Z","cross_cats_sorted":["math-ph","math.DS","math.MP"],"title_canon_sha256":"dabfaa258836f06658803fbdb17757e657fb70ae69ad28cfd6e008252686b331","abstract_canon_sha256":"36e4038f1d86ffec55c2be2dd017e11326a76eb2d6ea3b8e11d0ddc730e41c0a"},"schema_version":"1.0"},"canonical_sha256":"26ee5a936e3f273249ff38401e9fa23b4d7074e26f5b882b0c84aa4298874f5b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:45:30.601660Z","signature_b64":"ivnGc5+4iEuECpyLyqNP4Q5+S2vn/a/KvJvOw8phlbmZruFtlaH95HWxEqiVnkVQIE3LwGOr8vvNAN/rM9DyBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"26ee5a936e3f273249ff38401e9fa23b4d7074e26f5b882b0c84aa4298874f5b","last_reissued_at":"2026-05-18T00:45:30.601122Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:45:30.601122Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1601.04638","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":"2026-05-18T00:45:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"A7S31XNQnjRuljE3k5TNl2Omw/rXoq3zxvBVD8YVxrkxj4ovCHTX21Nkwrg8kqGNgsFTplsu5s1ASo5rzhG6Dg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T18:14:36.099201Z"},"content_sha256":"267dd69ca092e9c4a277b19bfb70795ca3c5f78c6ef60f9fbaaee66b8eef73d8","schema_version":"1.0","event_id":"sha256:267dd69ca092e9c4a277b19bfb70795ca3c5f78c6ef60f9fbaaee66b8eef73d8"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:E3XFVE3OH4TTESP7HBAB5H5CHN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Stochastic fiber dynamics in a spatially semi-discrete setting","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.DS","math.MP"],"primary_cat":"math.PR","authors_text":"Alexander Vibe, Felix Lindner, Holger Stroot, Nicole Marheineke, Raimund Wegener","submitted_at":"2016-01-18T18:14:40Z","abstract_excerpt":"We investigate a spatially discrete surrogate model for the dynamics of a slender, elastic, inextensible fiber in turbulent flows. Deduced from a continuous space-time beam model for which no solution theory is available, it consists of a high-dimensional second order stochastic differential equation in time with a nonlinear algebraic constraint and an associated Lagrange multiplier term. We establish a suitable framework for the rigorous formulation and analysis of the semi-discrete model and prove existence and uniqueness of a global strong solution. The proof is based on an explicit represe"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.04638","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":"2026-05-18T00:45:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wnNMhk3dY8VN9kHEy023L3yIHfUdzG+iMQEgkvn1hh5DShGl5OxHNKjB18i0c3hhApyO9uIJcf7YaOzIYsL2AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T18:14:36.099956Z"},"content_sha256":"e99af1ecaf8072eb72f1a0fd3d7df4011e17bf7cb7f1a7d3dc16b4c5055a75e3","schema_version":"1.0","event_id":"sha256:e99af1ecaf8072eb72f1a0fd3d7df4011e17bf7cb7f1a7d3dc16b4c5055a75e3"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/E3XFVE3OH4TTESP7HBAB5H5CHN/bundle.json","state_url":"https://pith.science/pith/E3XFVE3OH4TTESP7HBAB5H5CHN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/E3XFVE3OH4TTESP7HBAB5H5CHN/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":"2026-05-26T18:14:36Z","links":{"resolver":"https://pith.science/pith/E3XFVE3OH4TTESP7HBAB5H5CHN","bundle":"https://pith.science/pith/E3XFVE3OH4TTESP7HBAB5H5CHN/bundle.json","state":"https://pith.science/pith/E3XFVE3OH4TTESP7HBAB5H5CHN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/E3XFVE3OH4TTESP7HBAB5H5CHN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:E3XFVE3OH4TTESP7HBAB5H5CHN","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":"36e4038f1d86ffec55c2be2dd017e11326a76eb2d6ea3b8e11d0ddc730e41c0a","cross_cats_sorted":["math-ph","math.DS","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2016-01-18T18:14:40Z","title_canon_sha256":"dabfaa258836f06658803fbdb17757e657fb70ae69ad28cfd6e008252686b331"},"schema_version":"1.0","source":{"id":"1601.04638","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1601.04638","created_at":"2026-05-18T00:45:30Z"},{"alias_kind":"arxiv_version","alias_value":"1601.04638v2","created_at":"2026-05-18T00:45:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1601.04638","created_at":"2026-05-18T00:45:30Z"},{"alias_kind":"pith_short_12","alias_value":"E3XFVE3OH4TT","created_at":"2026-05-18T12:30:12Z"},{"alias_kind":"pith_short_16","alias_value":"E3XFVE3OH4TTESP7","created_at":"2026-05-18T12:30:12Z"},{"alias_kind":"pith_short_8","alias_value":"E3XFVE3O","created_at":"2026-05-18T12:30:12Z"}],"graph_snapshots":[{"event_id":"sha256:e99af1ecaf8072eb72f1a0fd3d7df4011e17bf7cb7f1a7d3dc16b4c5055a75e3","target":"graph","created_at":"2026-05-18T00:45:30Z","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 investigate a spatially discrete surrogate model for the dynamics of a slender, elastic, inextensible fiber in turbulent flows. Deduced from a continuous space-time beam model for which no solution theory is available, it consists of a high-dimensional second order stochastic differential equation in time with a nonlinear algebraic constraint and an associated Lagrange multiplier term. We establish a suitable framework for the rigorous formulation and analysis of the semi-discrete model and prove existence and uniqueness of a global strong solution. The proof is based on an explicit represe","authors_text":"Alexander Vibe, Felix Lindner, Holger Stroot, Nicole Marheineke, Raimund Wegener","cross_cats":["math-ph","math.DS","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2016-01-18T18:14:40Z","title":"Stochastic fiber dynamics in a spatially semi-discrete setting"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.04638","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":"sha256:267dd69ca092e9c4a277b19bfb70795ca3c5f78c6ef60f9fbaaee66b8eef73d8","target":"record","created_at":"2026-05-18T00:45:30Z","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":"36e4038f1d86ffec55c2be2dd017e11326a76eb2d6ea3b8e11d0ddc730e41c0a","cross_cats_sorted":["math-ph","math.DS","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2016-01-18T18:14:40Z","title_canon_sha256":"dabfaa258836f06658803fbdb17757e657fb70ae69ad28cfd6e008252686b331"},"schema_version":"1.0","source":{"id":"1601.04638","kind":"arxiv","version":2}},"canonical_sha256":"26ee5a936e3f273249ff38401e9fa23b4d7074e26f5b882b0c84aa4298874f5b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"26ee5a936e3f273249ff38401e9fa23b4d7074e26f5b882b0c84aa4298874f5b","first_computed_at":"2026-05-18T00:45:30.601122Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:45:30.601122Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ivnGc5+4iEuECpyLyqNP4Q5+S2vn/a/KvJvOw8phlbmZruFtlaH95HWxEqiVnkVQIE3LwGOr8vvNAN/rM9DyBw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:45:30.601660Z","signed_message":"canonical_sha256_bytes"},"source_id":"1601.04638","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:267dd69ca092e9c4a277b19bfb70795ca3c5f78c6ef60f9fbaaee66b8eef73d8","sha256:e99af1ecaf8072eb72f1a0fd3d7df4011e17bf7cb7f1a7d3dc16b4c5055a75e3"],"state_sha256":"f910d74c3363fd2d04d6603e7d9233c8771702757b29259816e5c3cc689c5ea1"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FtRLR/YMXkm7ulREYsb+ue+s1qARt7/9GkLizT9H2+AJ3lQH+itrYtulVWHxmf46w+kgd2Ecrk6/qegOiG8lBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T18:14:36.103769Z","bundle_sha256":"4d9b7c026e0105197c66d4ce62c3f7683f6efa68956609f49d41fac92b5b7f96"}}