{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:MSYQAQMBEQZK7W3UMYO2LEVQWU","short_pith_number":"pith:MSYQAQMB","canonical_record":{"source":{"id":"1708.00976","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2017-08-03T02:56:56Z","cross_cats_sorted":[],"title_canon_sha256":"24ca58a2f25acad05ba4bb61a65ce6a43c8a6ff26e7c5f96f84b67a0d7d869f8","abstract_canon_sha256":"a98e64e8f24d361198a24b9b293c10a5e5f34318689db3855089851fcb33e326"},"schema_version":"1.0"},"canonical_sha256":"64b10041812432afdb74661da592b0b50f4a506a3a15ce0014cac691286c97e1","source":{"kind":"arxiv","id":"1708.00976","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1708.00976","created_at":"2026-05-18T00:38:40Z"},{"alias_kind":"arxiv_version","alias_value":"1708.00976v1","created_at":"2026-05-18T00:38:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1708.00976","created_at":"2026-05-18T00:38:40Z"},{"alias_kind":"pith_short_12","alias_value":"MSYQAQMBEQZK","created_at":"2026-05-18T12:31:31Z"},{"alias_kind":"pith_short_16","alias_value":"MSYQAQMBEQZK7W3U","created_at":"2026-05-18T12:31:31Z"},{"alias_kind":"pith_short_8","alias_value":"MSYQAQMB","created_at":"2026-05-18T12:31:31Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:MSYQAQMBEQZK7W3UMYO2LEVQWU","target":"record","payload":{"canonical_record":{"source":{"id":"1708.00976","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2017-08-03T02:56:56Z","cross_cats_sorted":[],"title_canon_sha256":"24ca58a2f25acad05ba4bb61a65ce6a43c8a6ff26e7c5f96f84b67a0d7d869f8","abstract_canon_sha256":"a98e64e8f24d361198a24b9b293c10a5e5f34318689db3855089851fcb33e326"},"schema_version":"1.0"},"canonical_sha256":"64b10041812432afdb74661da592b0b50f4a506a3a15ce0014cac691286c97e1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:38:40.954918Z","signature_b64":"rjYoN20f5UCfjfXYR8TY9ZgZ6quHTYD8W2inD/fNxnJBds8NGo9WuwWPbywBBTj/b1tSli9eYcRFbI/gvPUHDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"64b10041812432afdb74661da592b0b50f4a506a3a15ce0014cac691286c97e1","last_reissued_at":"2026-05-18T00:38:40.954345Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:38:40.954345Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1708.00976","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":"2026-05-18T00:38:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Qcgnsn3BlxDp2JpZ+DPxIUN+HYtZJ9PLe2/Ax4BSNttkPpeFtrRdB2I9f34uLQ84b/1XC/YQmyyn4sUf1spdCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T19:01:59.545927Z"},"content_sha256":"ff385a16587c84e39f7cb8433910f3a1b0b746343ac67abdda243f37fdd00b41","schema_version":"1.0","event_id":"sha256:ff385a16587c84e39f7cb8433910f3a1b0b746343ac67abdda243f37fdd00b41"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:MSYQAQMBEQZK7W3UMYO2LEVQWU","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Comparison of Lubrication Approximation and Navier-Stokes Solutions for Dam-Break Flows in Thin Films","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.flu-dyn","authors_text":"Abdul Rahman Al Behadili, Mathieu Sellier, Sandy Morris","submitted_at":"2017-08-03T02:56:56Z","abstract_excerpt":"The levelling of a thin liquid film has been analysed experimentally, theoretically, and numerically. The purpose of this contribution is to compare solutions from two different finite element models: one based on the 2D Navier-Stokes equations, and the other based on a simplification thereof, known as the lubrication approximation. The latter is significantly less computationally expensive, hence it is desirable to know in which parameter range this approximation is valid. As a benchmark problem, we consider the classical dam-break problem. This paper establishes the validity window of the lu"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.00976","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":"2026-05-18T00:38:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"g3izHmIRdeNNLDxl0llqJKF0UtZ3DXkbMZJ2wzW5IuwqXjW/bj5Dy8yVYzqTNxBwJXvdU2z2HAnKChRMWZR3Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T19:01:59.546254Z"},"content_sha256":"b786e24a549766b45b11176475b95dce0fecd4ea289fbc29467778fad7f0b6ad","schema_version":"1.0","event_id":"sha256:b786e24a549766b45b11176475b95dce0fecd4ea289fbc29467778fad7f0b6ad"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MSYQAQMBEQZK7W3UMYO2LEVQWU/bundle.json","state_url":"https://pith.science/pith/MSYQAQMBEQZK7W3UMYO2LEVQWU/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MSYQAQMBEQZK7W3UMYO2LEVQWU/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":"2026-06-23T19:01:59Z","links":{"resolver":"https://pith.science/pith/MSYQAQMBEQZK7W3UMYO2LEVQWU","bundle":"https://pith.science/pith/MSYQAQMBEQZK7W3UMYO2LEVQWU/bundle.json","state":"https://pith.science/pith/MSYQAQMBEQZK7W3UMYO2LEVQWU/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MSYQAQMBEQZK7W3UMYO2LEVQWU/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:MSYQAQMBEQZK7W3UMYO2LEVQWU","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":"a98e64e8f24d361198a24b9b293c10a5e5f34318689db3855089851fcb33e326","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2017-08-03T02:56:56Z","title_canon_sha256":"24ca58a2f25acad05ba4bb61a65ce6a43c8a6ff26e7c5f96f84b67a0d7d869f8"},"schema_version":"1.0","source":{"id":"1708.00976","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1708.00976","created_at":"2026-05-18T00:38:40Z"},{"alias_kind":"arxiv_version","alias_value":"1708.00976v1","created_at":"2026-05-18T00:38:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1708.00976","created_at":"2026-05-18T00:38:40Z"},{"alias_kind":"pith_short_12","alias_value":"MSYQAQMBEQZK","created_at":"2026-05-18T12:31:31Z"},{"alias_kind":"pith_short_16","alias_value":"MSYQAQMBEQZK7W3U","created_at":"2026-05-18T12:31:31Z"},{"alias_kind":"pith_short_8","alias_value":"MSYQAQMB","created_at":"2026-05-18T12:31:31Z"}],"graph_snapshots":[{"event_id":"sha256:b786e24a549766b45b11176475b95dce0fecd4ea289fbc29467778fad7f0b6ad","target":"graph","created_at":"2026-05-18T00:38:40Z","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":"The levelling of a thin liquid film has been analysed experimentally, theoretically, and numerically. The purpose of this contribution is to compare solutions from two different finite element models: one based on the 2D Navier-Stokes equations, and the other based on a simplification thereof, known as the lubrication approximation. The latter is significantly less computationally expensive, hence it is desirable to know in which parameter range this approximation is valid. As a benchmark problem, we consider the classical dam-break problem. This paper establishes the validity window of the lu","authors_text":"Abdul Rahman Al Behadili, Mathieu Sellier, Sandy Morris","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2017-08-03T02:56:56Z","title":"Comparison of Lubrication Approximation and Navier-Stokes Solutions for Dam-Break Flows in Thin Films"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.00976","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:ff385a16587c84e39f7cb8433910f3a1b0b746343ac67abdda243f37fdd00b41","target":"record","created_at":"2026-05-18T00:38:40Z","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":"a98e64e8f24d361198a24b9b293c10a5e5f34318689db3855089851fcb33e326","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2017-08-03T02:56:56Z","title_canon_sha256":"24ca58a2f25acad05ba4bb61a65ce6a43c8a6ff26e7c5f96f84b67a0d7d869f8"},"schema_version":"1.0","source":{"id":"1708.00976","kind":"arxiv","version":1}},"canonical_sha256":"64b10041812432afdb74661da592b0b50f4a506a3a15ce0014cac691286c97e1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"64b10041812432afdb74661da592b0b50f4a506a3a15ce0014cac691286c97e1","first_computed_at":"2026-05-18T00:38:40.954345Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:38:40.954345Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"rjYoN20f5UCfjfXYR8TY9ZgZ6quHTYD8W2inD/fNxnJBds8NGo9WuwWPbywBBTj/b1tSli9eYcRFbI/gvPUHDg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:38:40.954918Z","signed_message":"canonical_sha256_bytes"},"source_id":"1708.00976","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ff385a16587c84e39f7cb8433910f3a1b0b746343ac67abdda243f37fdd00b41","sha256:b786e24a549766b45b11176475b95dce0fecd4ea289fbc29467778fad7f0b6ad"],"state_sha256":"2674e4a6ceb695ef5f1acee96016cbb6033b21075461a3e8bd76b78b2ff7e783"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qxucCHFsar4yhEJh2lZ1FwbP3wJqLN/+/IhZ7PY/3NhUrf+4/qGBreVX1VBc4Fb8HpUPQnGj4zTupEDlVqIqCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-23T19:01:59.548127Z","bundle_sha256":"60c02c02aa44c5d94e891f847efa47618ba281684b4353db282bf5218129b9b5"}}